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42316461324 = 22321816494239
BaseRepresentation
bin100111011010010000…
…011111010100001100
311001020002212222001100
4213122100133110030
51143131003230244
631235004343100
73025432662234
oct473220372414
9131202788040
1042316461324
1116a455a2795
12824b844a90
133cb4c6c237
1420960c2cc4
15117a05ab69
hex9da41f50c

42316461324 has 36 divisors (see below), whose sum is σ = 107557602880. Its totient is φ = 14027554080.

The previous prime is 42316461323. The next prime is 42316461337.

42316461324 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 646 + 1 + 3 + 2 + 4 = 666.

42316461324 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42316461323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3240604 + ... + 3253635.

Almost surely, 242316461324 is an apocalyptic number.

It is an amenable number.

42316461324 is an abundant number, since it is smaller than the sum of its proper divisors (65241141556).

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

42316461324 is a wasteful number, since it uses less digits than its factorization.

42316461324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494430 (or 6494425 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 42316461324 in words is "forty-two billion, three hundred sixteen million, four hundred sixty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 6494239 12988478 19482717 25976956 38965434 58448151 77930868 116896302 233792604 1175457259 2350914518 3526371777 4701829036 7052743554 10579115331 14105487108 21158230662 42316461324