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130978610072244 = 22321110918111675561
BaseRepresentation
bin11101110001111111010101…
…100001101100101010110100
3122011202102200112111210120100
4131301333111201230222310
5114131423143134302434
61142322424240034100
736405615026111214
oct3561772541545264
9564672615453510
10130978610072244
1138808797864880
1212834647602930
1358112cb21302c
14244b5818b0244
1510220c303d699
hex771fd586cab4

130978610072244 has 144 divisors (see below), whose sum is σ = 364698535481280. Its totient is φ = 39304616256000.

The previous prime is 130978610072243. The next prime is 130978610072257. The reversal of 130978610072244 is 442270016879031.

130978610072244 is a `hidden beast` number, since 1 + 309 + 7 + 8 + 6 + 100 + 7 + 224 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130978610072243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77332224 + ... + 79007784.

It is an arithmetic number, because the mean of its divisors is an integer number (2532628718620).

Almost surely, 2130978610072244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130978610072244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182349267740640).

130978610072244 is an abundant number, since it is smaller than the sum of its proper divisors (233719925409036).

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

130978610072244 is a wasteful number, since it uses less digits than its factorization.

130978610072244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677502 (or 1677497 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 130978610072244 in words is "one hundred thirty trillion, nine hundred seventy-eight billion, six hundred ten million, seventy-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 132 198 218 327 396 436 654 981 1199 1308 1811 1962 2398 3597 3622 3924 4796 5433 7194 7244 10791 10866 14388 16299 19921 21582 21732 32598 39842 43164 59763 65196 79684 119526 179289 197399 239052 358578 394798 592197 717156 789596 1184394 1675561 1776591 2171389 2368788 3351122 3553182 4342778 5026683 6514167 6702244 7106364 8685556 10053366 13028334 15080049 18431171 19542501 20106732 26056668 30160098 36862342 39085002 55293513 60320196 73724684 78170004 110587026 165880539 182636149 221174052 331761078 365272298 547908447 663522156 730544596 1095816894 1643725341 2008997639 2191633788 3034440971 3287450682 4017995278 6026992917 6068881942 6574901364 8035990556 9103322913 12053985834 12137763884 18080978751 18206645826 24107971668 27309968739 33378850681 36161957502 36413291652 54619937478 66757701362 72323915004 100136552043 109239874956 133515402724 200273104086 300409656129 330754065839 400546208172 600819312258 661508131678 992262197517 1201638624516 1323016263356 1984524395034 2976786592551 3638294724229 3969048790068 5953573185102 7276589448458 10914884172687 11907146370204 14553178896916 21829768345374 32744652518061 43659536690748 65489305036122 130978610072244