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13997862720 = 26345540041
BaseRepresentation
bin11010000100101011…
…00110111101000000
31100010112110002210000
431002111212331000
5212131423101340
610232554440000
71003610604252
oct150225467500
940115402700
1013997862720
115a33479496
122867a33000
13142104110a
1496b0bbcd2
1556dd5ed30
hex342566f40

13997862720 has 140 divisors (see below), whose sum is σ = 49792952484. Its totient is φ = 3732756480.

The previous prime is 13997862719. The next prime is 13997862733. The reversal of 13997862720 is 2726879931.

13997862720 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 7 + 8 + 627 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3996262656 + 10001600064 = 63216^2 + 100008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 244101 + ... + 295940.

Almost surely, 213997862720 is an apocalyptic number.

13997862720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13997862720 is an abundant number, since it is smaller than the sum of its proper divisors (35795089764).

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

13997862720 is an equidigital number, since it uses as much as digits as its factorization.

13997862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540070 (or 540051 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 13997862720 in words is "thirteen billion, nine hundred ninety-seven million, eight hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 540041 1080082 1620123 2160164 2700205 3240246 4320328 4860369 5400410 6480492 8100615 8640656 9720738 10800820 12960984 14581107 16201230 17281312 19441476 21601640 24301845 25921968 29162214 32402460 34562624 38882952 43203280 43743321 48603690 51843936 58324428 64804920 72905535 77765904 86406560 87486642 97207380 103687872 116648856 129609840 145811070 155531808 172813120 174973284 194414760 218716605 233297712 259219680 291622140 311063616 349946568 388829520 437433210 466595424 518439360 583244280 699893136 777659040 874866420 933190848 1166488560 1399786272 1555318080 1749732840 2332977120 2799572544 3499465680 4665954240 6998931360 13997862720