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312400442232 = 23326776409003
BaseRepresentation
bin1001000101111001000…
…01000111001101111000
31002212100201112202120100
410202330201013031320
520104244003122412
6355303105355400
731366400642214
oct4427441071570
91085321482510
10312400442232
111105409a606a
1250666338b60
13235c7c2b0a8
1411197ddb944
1581d617dedc
hex48bc847378

312400442232 has 48 divisors (see below), whose sum is σ = 847334418840. Its totient is φ = 103979648448.

The previous prime is 312400442201. The next prime is 312400442267. The reversal of 312400442232 is 232244004213.

312400442232 is a `hidden beast` number, since 31 + 2 + 400 + 4 + 4 + 223 + 2 = 666.

It is a super-3 number, since 3×3124004422323 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312400442196 and 312400442205.

It is a congruent number.

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, 3155758 + ... + 3253245.

Almost surely, 2312400442232 is an apocalyptic number.

It is an amenable number.

312400442232 is an abundant number, since it is smaller than the sum of its proper divisors (534933976608).

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

312400442232 is a wasteful number, since it uses less digits than its factorization.

312400442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409692 (or 6409685 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 312400442232 its reverse (232244004213), we get a palindrome (544644446445).

The spelling of 312400442232 in words is "three hundred twelve billion, four hundred million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 677 1354 2031 2708 4062 5416 6093 8124 12186 16248 24372 48744 6409003 12818006 19227009 25636012 38454018 51272024 57681027 76908036 115362054 153816072 230724108 461448216 4338895031 8677790062 13016685093 17355580124 26033370186 34711160248 39050055279 52066740372 78100110558 104133480744 156200221116 312400442232