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1242053125440 = 26352837456047
BaseRepresentation
bin10010000100110000001…
…000101010010101000000
311101201221211002020002220
4102010300020222111000
5130322211100003230
62350331421011040
7155510143241211
oct22046010522500
94351854066086
101242053125440
1143982a677716
121808750b3a80
1390181b2549a
144418965d408
1522496a7ad10
hex1213022a540

1242053125440 has 112 divisors (see below), whose sum is σ = 3944917354752. Its totient is φ = 331096692736.

The previous prime is 1242053125399. The next prime is 1242053125463. The reversal of 1242053125440 is 445213502421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2495497 + ... + 2951543.

Almost surely, 21242053125440 is an apocalyptic number.

1242053125440 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 1242053125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972458677376).

1242053125440 is an abundant number, since it is smaller than the sum of its proper divisors (2702864229312).

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

1242053125440 is a wasteful number, since it uses less digits than its factorization.

1242053125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458904 (or 458894 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 1242053125440 its reverse (445213502421), we get a palindrome (1687266627861).

The spelling of 1242053125440 in words is "one trillion, two hundred forty-two billion, fifty-three million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2837 5674 8511 11348 14185 17022 22696 28370 34044 42555 45392 56740 68088 85110 90784 113480 136176 170220 181568 226960 272352 340440 453920 456047 544704 680880 907840 912094 1361760 1368141 1824188 2280235 2723520 2736282 3648376 4560470 5472564 6840705 7296752 9120940 10945128 13681410 14593504 18241880 21890256 27362820 29187008 36483760 43780512 54725640 72967520 87561024 109451280 145935040 218902560 437805120 1293805339 2587610678 3881416017 5175221356 6469026695 7762832034 10350442712 12938053390 15525664068 19407080085 20700885424 25876106780 31051328136 38814160170 41401770848 51752213560 62102656272 77628320340 82803541696 103504427120 124205312544 155256640680 207008854240 248410625088 310513281360 414017708480 621026562720 1242053125440