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114364145664 = 213321551163
BaseRepresentation
bin110101010000010100…
…0100110000000000000
3101221012020022112202200
41222200220212000000
53333204210130124
6124312124313200
711156023125126
oct1524050460000
9357166275680
10114364145664
114455764036a
121a1b83a2800
13aa276b8312
14576ca47916
152e952ecbc9
hex1aa0a26000

114364145664 has 84 divisors (see below), whose sum is σ = 330365357556. Its totient is φ = 38121357312.

The previous prime is 114364145653. The next prime is 114364145671. The reversal of 114364145664 is 466541463411.

114364145664 is a `hidden beast` number, since 1 + 1 + 43 + 6 + 41 + 4 + 566 + 4 = 666.

It is a super-2 number, since 2×1143641456642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 701854 + ... + 849309.

Almost surely, 2114364145664 is an apocalyptic number.

It is an amenable number.

114364145664 is an abundant number, since it is smaller than the sum of its proper divisors (216001211892).

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

114364145664 is an equidigital number, since it uses as much as digits as its factorization.

114364145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551195 (or 1551168 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 114364145664 in words is "one hundred fourteen billion, three hundred sixty-four million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 36864 73728 1551163 3102326 4653489 6204652 9306978 12409304 13960467 18613956 24818608 27920934 37227912 49637216 55841868 74455824 99274432 111683736 148911648 198548864 223367472 297823296 397097728 446734944 595646592 794195456 893469888 1191293184 1588390912 1786939776 2382586368 3176781824 3573879552 4765172736 6353563648 7147759104 9530345472 12707127296 14295518208 19060690944 28591036416 38121381888 57182072832 114364145664