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126314160456 = 233111453329293
BaseRepresentation
bin111010110100011101…
…0010010000101001000
3110002001001101012022010
41311220322102011020
54032142411113311
6134010010455520
712061116435321
oct1655072220510
9402031335263
10126314160456
114962a061350
12205924345a0
13bbb039b3a3
146183b73448
153444497da6
hex1d68e92148

126314160456 has 64 divisors (see below), whose sum is σ = 344731302720. Its totient is φ = 38250558720.

The previous prime is 126314160419. The next prime is 126314160487. The reversal of 126314160456 is 654061413621.

It is a super-3 number, since 3×1263141604563 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218946 + ... + 548238.

It is an arithmetic number, because the mean of its divisors is an integer number (5386426605).

Almost surely, 2126314160456 is an apocalyptic number.

It is an amenable number.

126314160456 is an abundant number, since it is smaller than the sum of its proper divisors (218417142264).

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

126314160456 is a wasteful number, since it uses less digits than its factorization.

126314160456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330766 (or 330762 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 126314160456 in words is "one hundred twenty-six billion, three hundred fourteen million, one hundred sixty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1453 2906 4359 5812 8718 11624 15983 17436 31966 34872 47949 63932 95898 127864 191796 329293 383592 658586 987879 1317172 1975758 2634344 3622223 3951516 7244446 7903032 10866669 14488892 21733338 28977784 43466676 86933352 478462729 956925458 1435388187 1913850916 2870776374 3827701832 5263090019 5741552748 10526180038 11483105496 15789270057 21052360076 31578540114 42104720152 63157080228 126314160456