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307104941988 = 22321310919331193
BaseRepresentation
bin1000111100000001110…
…00011000011110100100
31002100200200010110212200
410132000320120132210
520012422331120423
6353025420414500
731121226636045
oct4360070303644
91070620113780
10307104941988
11109273808389
124b6289a7430
1322c62ab88b0
1410c149b88cc
157ec6306d43
hex4780e187a4

307104941988 has 144 divisors (see below), whose sum is σ = 848076269040. Its totient is φ = 93138812928.

The previous prime is 307104941959. The next prime is 307104942029. The reversal of 307104941988 is 889149401703.

307104941988 is a `hidden beast` number, since 3 + 0 + 71 + 0 + 494 + 1 + 9 + 88 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16230250404 + 290874691584 = 127398^2 + 539328^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 9829720 + ... + 9860912.

It is an arithmetic number, because the mean of its divisors is an integer number (5889418535).

Almost surely, 2307104941988 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 307104941988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424038134520).

307104941988 is an abundant number, since it is smaller than the sum of its proper divisors (540971327052).

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

307104941988 is a wasteful number, since it uses less digits than its factorization.

307104941988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31518 (or 31513 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 307104941988 in words is "three hundred seven billion, one hundred four million, nine hundred forty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 193 218 234 327 386 436 468 579 654 772 981 1158 1308 1417 1737 1962 2316 2509 2834 3474 3924 4251 5018 5668 6948 7527 8502 10036 12753 15054 17004 21037 22581 25506 30108 31193 42074 45162 51012 62386 63111 84148 90324 93579 124772 126222 187158 189333 252444 273481 280737 374316 378666 405509 546962 561474 757332 811018 820443 1093924 1122948 1216527 1622036 1640886 2433054 2461329 3281772 3400037 3649581 4866108 4922658 6020249 6800074 7299162 9845316 10200111 12040498 13600148 14598324 18060747 20400222 24080996 30600333 36121494 40800444 44200481 54182241 61200666 72242988 78263237 88400962 108364482 122401332 132601443 156526474 176801924 216728964 234789711 265202886 313052948 397804329 469579422 530405772 656207141 704369133 795608658 939158844 1312414282 1408738266 1591217316 1968621423 2624828564 2817476532 3937242846 5905864269 7874485692 8530692833 11811728538 17061385666 23623457076 25592078499 34122771332 51184156998 76776235497 102368313996 153552470994 307104941988