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31453490304 = 2732171606081
BaseRepresentation
bin11101010010110001…
…100010110010000000
310000012001021212020100
4131102301202302000
51003404043142204
622241033242400
72162306153625
oct352261426200
9100161255210
1031453490304
1112380747895
126119863400
132c73551832
1417454c234c
15c41537a39
hex752c62c80

31453490304 has 96 divisors (see below), whose sum is σ = 95834912940. Its totient is φ = 9867755520.

The previous prime is 31453490291. The next prime is 31453490347. The reversal of 31453490304 is 40309435413.

31453490304 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 349 + 0 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29735553600 + 1717936704 = 172440^2 + 41448^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 783457 + ... + 822624.

Almost surely, 231453490304 is an apocalyptic number.

31453490304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31453490304 is an abundant number, since it is smaller than the sum of its proper divisors (64381422636).

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

31453490304 is a wasteful number, since it uses less digits than its factorization.

31453490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606118 (or 1606103 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 31453490304 in words is "thirty-one billion, four hundred fifty-three million, four hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 1606081 3212162 4818243 6424324 9636486 12848648 14454729 19272972 25697296 27303377 28909458 38545944 51394592 54606754 57818916 77091888 81910131 102789184 109213508 115637832 154183776 163820262 205578368 218427016 231275664 245730393 308367552 327640524 436854032 462551328 491460786 616735104 655281048 873708064 925102656 982921572 1310562096 1747416128 1850205312 1965843144 2621124192 3494832256 3931686288 5242248384 7863372576 10484496768 15726745152 31453490304