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3130479107856 = 243228325212
BaseRepresentation
bin101101100011011111000…
…110000101111100010000
3102002021022110201201111100
4231203133012011330100
5402242210122422411
610354042223344400
7442112122242252
oct55433706057420
912067273651440
103130479107856
11aa76a0932711
1242685b152100
13199283a532b9
14ab731c79cd2
155666e695456
hex2d8df185f10

3130479107856 has 135 divisors (see below), whose sum is σ = 8808968326197. Its totient is φ = 1037809992960.

The previous prime is 3130479107851. The next prime is 3130479107897. The reversal of 3130479107856 is 6587019740313.

The square root of 3130479107856 is 1769316.

It is a perfect power (a square), and thus also a powerful number.

3130479107856 is a `hidden beast` number, since 3 + 13 + 0 + 479 + 107 + 8 + 56 = 666.

3130479107856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 897725930256 + 2232753177600 = 947484^2 + 1494240^2 .

It is not an unprimeable number, because it can be changed into a prime (3130479107851) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6008596876 + ... + 6008597396.

Almost surely, 23130479107856 is an apocalyptic number.

3130479107856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3130479107856 is the 1769316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130479107856

3130479107856 is an abundant number, since it is smaller than the sum of its proper divisors (5678489218341).

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

3130479107856 is an frugal number, since it uses more digits than its factorization.

3130479107856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 3130479107856 in words is "three trillion, one hundred thirty billion, four hundred seventy-nine million, one hundred seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 521 566 849 1042 1132 1563 1698 2084 2264 2547 3126 3396 4168 4528 4689 5094 6252 6792 8336 9378 10188 12504 13584 18756 20376 25008 37512 40752 75024 80089 147443 160178 240267 271441 294886 320356 442329 480534 542882 589772 640712 720801 814323 884658 961068 1085764 1179544 1281424 1326987 1441602 1628646 1769316 1922136 2171528 2359088 2442969 2653974 2883204 3257292 3538632 3844272 4343056 4885938 5307948 5766408 6514584 7077264 9771876 10615896 11532816 13029168 19543752 21231792 39087504 41726369 76817803 83452738 125179107 153635606 166905476 230453409 250358214 307271212 333810952 375537321 460906818 500716428 614542424 667621904 691360227 751074642 921813636 1001432856 1229084848 1382720454 1502149284 1843627272 2002865712 2765440908 3004298568 3687254544 5530881816 6008597136 11061763632 21739438249 43478876498 65218314747 86957752996 130436629494 173915505992 195654944241 260873258988 347831011984 391309888482 521746517976 782619776964 1043493035952 1565239553928 3130479107856