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40372427304 = 23321124634117
BaseRepresentation
bin100101100110011000…
…100101101000101000
310212012121211210201100
4211212120211220220
51130140320133204
630314041121400
72626315653456
oct454630455050
9125177753640
1040372427304
1116138201200
1279a8789260
133a6528b951
141d4dc359d6
1510b4550a39
hex966625a28

40372427304 has 72 divisors (see below), whose sum is σ = 120185850330. Its totient is φ = 12234066240.

The previous prime is 40372427299. The next prime is 40372427323.

40372427304 is a `hidden beast` number, since 403 + 7 + 242 + 7 + 3 + 0 + 4 = 666.

40372427304 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 39125631204 + 1246796100 = 197802^2 + 35310^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 2308347 + ... + 2325770.

Almost surely, 240372427304 is an apocalyptic number.

40372427304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40372427304 is an abundant number, since it is smaller than the sum of its proper divisors (79813423026).

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

40372427304 is a wasteful number, since it uses less digits than its factorization.

40372427304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634151 (or 4634133 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 40372427304 in words is "forty billion, three hundred seventy-two million, four hundred twenty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 4634117 9268234 13902351 18536468 27804702 37072936 41707053 50975287 55609404 83414106 101950574 111218808 152925861 166828212 203901148 305851722 333656424 407802296 458777583 560728157 611703444 917555166 1121456314 1223406888 1682184471 1835110332 2242912628 3364368942 3670220664 4485825256 5046553413 6728737884 10093106826 13457475768 20186213652 40372427304