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14013131322420 = 22325435930686137
BaseRepresentation
bin1100101111101010111110…
…1101101111010000110100
31211121122100012211020201100
43023322233231233100310
53314042343104304140
645445313232530100
72644262312634306
oct313725755572064
954548305736640
1014013131322420
114512a3234556a
1216a3a093b0930
137a85815b5309
1436634c41d976
151947a8b40530
hexcbeafb6f434

14013131322420 has 144 divisors (see below), whose sum is σ = 44232226758720. Its totient is φ = 3588068510208.

The previous prime is 14013131322373. The next prime is 14013131322433. The reversal of 14013131322420 is 2422313131041.

14013131322420 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 313 + 1 + 322 + 4 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14886409 + ... + 15799728.

It is an arithmetic number, because the mean of its divisors is an integer number (307168241380).

Almost surely, 214013131322420 is an apocalyptic number.

14013131322420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013131322420 is an abundant number, since it is smaller than the sum of its proper divisors (30219095436300).

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

14013131322420 is a wasteful number, since it uses less digits than its factorization.

14013131322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30686254 (or 30686249 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14013131322420 its reverse (2422313131041), we get a palindrome (16435444453461).

The spelling of 14013131322420 in words is "fourteen trillion, thirteen billion, one hundred thirty-one million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 59 60 86 90 118 129 172 177 180 215 236 258 295 354 387 430 516 531 590 645 708 774 860 885 1062 1180 1290 1548 1770 1935 2124 2537 2580 2655 3540 3870 5074 5310 7611 7740 10148 10620 12685 15222 22833 25370 30444 38055 45666 50740 76110 91332 114165 152220 228330 456660 30686137 61372274 92058411 122744548 153430685 184116822 276175233 306861370 368233644 460292055 552350466 613722740 920584110 1104700932 1319503891 1380876165 1810482083 1841168220 2639007782 2761752330 3620964166 3958511673 5278015564 5431446249 5523504660 6597519455 7241928332 7917023346 9052410415 10862892498 11875535019 13195038910 15834046692 16294338747 18104820830 19792558365 21725784996 23751070038 26390077820 27157231245 32588677494 36209641660 39585116730 47502140076 54314462490 59377675095 65177354988 77850729569 79170233460 81471693735 108628924980 118755350190 155701459138 162943387470 233552188707 237510700380 311402918276 325886774940 389253647845 467104377414 700656566121 778507295690 934208754828 1167760943535 1401313132242 1557014591380 2335521887070 2802626264484 3503282830605 4671043774140 7006565661210 14013131322420