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401107956912 = 243313312303947
BaseRepresentation
bin1011101011000111110…
…01011011010010110000
31102100022220101102011000
411311203321123102300
523032432114110122
6504133315322000
740656554244045
oct5654371332260
91370286342130
10401107956912
11145121a91873
12658a22b0300
132ba94046950
14155b13b31cc
15a678d020ac
hex5d63e5b4b0

401107956912 has 160 divisors (see below), whose sum is σ = 1279889192960. Its totient is φ = 119436560640.

The previous prime is 401107956877. The next prime is 401107956923. The reversal of 401107956912 is 219659701104.

401107956912 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 0 + 79 + 569 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977878 + ... + 1326069.

It is an arithmetic number, because the mean of its divisors is an integer number (7999307456).

Almost surely, 2401107956912 is an apocalyptic number.

It is an amenable number.

401107956912 is an abundant number, since it is smaller than the sum of its proper divisors (878781236048).

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

401107956912 is a wasteful number, since it uses less digits than its factorization.

401107956912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304008 (or 2303996 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 401107956912 in words is "four hundred one billion, one hundred seven million, nine hundred fifty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6448 6696 7254 9672 10881 13392 14508 19344 21762 29016 43524 58032 87048 174096 2303947 4607894 6911841 9215788 13823682 18431576 20735523 27647364 29951311 36863152 41471046 55294728 59902622 62206569 71422357 82942092 89853933 110589456 119805244 124413138 142844714 165884184 179707866 214267071 239610488 248826276 269561799 285689428 331768368 359415732 428534142 479220976 497652552 539123598 571378856 642801213 718831464 808685397 857068284 928490641 995305104 1078247196 1142757712 1285602426 1437662928 1617370794 1714136568 1856981282 1928403639 2156494392 2571204852 2785471923 3234741588 3428273136 3713962564 3856807278 4312988784 5142409704 5570943846 6469483176 7427925128 7713614556 8356415769 10284819408 11141887692 12938966352 14855850256 15427229112 16712831538 22283775384 25069247307 30854458224 33425663076 44567550768 50138494614 66851326152 100276989228 133702652304 200553978456 401107956912