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131141402223440 = 24571513433451753
BaseRepresentation
bin11101110100010110111100…
…101100011110001101010000
3122012022222212210122220221112
4131310112330230132031100
5114142110042432122230
61142525310052512452
736423440125423010
oct3564267454361520
9565288783586845
10131141402223440
1138870835784504
12128600ba31b728
135823772a8c50b
1424553c6163c40
15102644ebb4d95
hex7745bcb1e350

131141402223440 has 160 divisors (see below), whose sum is σ = 350872084225536. Its totient is φ = 44651890483200.

The previous prime is 131141402223439. The next prime is 131141402223449. The reversal of 131141402223440 is 44322204141131.

It is a junction number, because it is equal to n+sod(n) for n = 131141402223397 and 131141402223406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141402223449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290068604 + ... + 290520356.

Almost surely, 2131141402223440 is an apocalyptic number.

131141402223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141402223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175436042112768).

131141402223440 is an abundant number, since it is smaller than the sum of its proper divisors (219730682002096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131141402223440 is a wasteful number, since it uses less digits than its factorization.

131141402223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455357 (or 455351 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131141402223440 its reverse (44322204141131), we get a palindrome (175463606364571).

The spelling of 131141402223440 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 560 604 755 1057 1208 1510 2114 2416 3020 3433 4228 5285 6040 6866 8456 10570 12080 13732 16912 17165 21140 24031 27464 34330 42280 48062 54928 68660 84560 96124 120155 137320 192248 240310 274640 384496 451753 480620 518383 903506 961240 1036766 1807012 1922480 2073532 2258765 2591915 3162271 3614024 3628681 4147064 4517530 5183830 6324542 7228048 7257362 8294128 9035060 10367660 12649084 14514724 15811355 18070120 18143405 20735320 25298168 29029448 31622710 36140240 36286810 41470640 50596336 58058896 63245420 68214703 72573620 126490840 136429406 145147240 252981680 272858812 290294480 341073515 477502921 545717624 682147030 955005842 1091435248 1364294060 1550868049 1910011684 2387514605 2728588120 3101736098 3820023368 4775029210 5457176240 6203472196 7640046736 7754340245 9550058420 10856076343 12406944392 15508680490 19100116840 21712152686 24813888784 31017360980 38200233680 43424305372 54280381715 62034721960 86848610744 108560763430 124069443920 173697221488 217121526860 234181075399 434243053720 468362150798 868486107440 936724301596 1170905376995 1639267527793 1873448603192 2341810753990 3278535055586 3746897206384 4683621507980 6557070111172 8196337638965 9367243015960 13114140222344 16392675277930 18734486031920 26228280444688 32785350555860 65570701111720 131141402223440