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402096422912 = 2153121132
BaseRepresentation
bin1011101100111101101…
…00001000000000000000
31102102212210100200120212
411312132310020000000
523041443141013122
6504415345453252
741023216126112
oct5663664100000
91372783320525
10402096422912
11145589a47a18
1265b19341228
132bbc0a75c82
141566679b3b2
15a6d59a5ce2
hex5d9ed08000

402096422912 has 144 divisors (see below), whose sum is σ = 838377393165. Its totient is φ = 192840990720.

The previous prime is 402096422899. The next prime is 402096422947. The reversal of 402096422912 is 219224690204.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 253951492096 + 148144930816 = 503936^2 + 384896^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=448384.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 402096422912.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3558375368 + ... + 3558375480.

Almost surely, 2402096422912 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 402096422912

402096422912 is an abundant number, since it is smaller than the sum of its proper divisors (436280970253).

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

402096422912 is an frugal number, since it uses more digits than its factorization.

402096422912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 402096422912 in words is "four hundred two billion, ninety-six million, four hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 113 124 128 226 248 256 452 496 512 904 961 992 1024 1808 1922 1984 2048 3503 3616 3844 3968 4096 7006 7232 7688 7936 8192 12769 14012 14464 15376 15872 16384 25538 28024 28928 30752 31744 32768 51076 56048 57856 61504 63488 102152 108593 112096 115712 123008 126976 204304 217186 224192 231424 246016 253952 395839 408608 434372 448384 462848 492032 507904 791678 817216 868744 896768 925696 984064 1015808 1583356 1634432 1737488 1793536 1851392 1968128 3166712 3268864 3474976 3587072 3702784 3936256 6333424 6537728 6949952 7174144 7872512 12271009 12666848 13075456 13899904 14348288 15745024 24542018 25333696 26150912 27799808 28696576 31490048 49084036 50667392 52301824 55599616 57393152 98168072 101334784 104603648 111199232 114786304 196336144 202669568 209207296 222398464 392672288 405339136 418414592 444796928 785344576 810678272 889593856 1570689152 1621356544 1779187712 3141378304 3242713088 3558375424 6282756608 6485426176 12565513216 12970852352 25131026432 50262052864 100524105728 201048211456 402096422912