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431042323240134 = 232231041165031981
BaseRepresentation
bin110001000000001111101110…
…0100011110101010011000110
32002112012020120122000122221100
41202000133130203311103012
5422444144134222141014
64124430035402400530
7156535531411565334
oct14200373443652306
92075166518018840
10431042323240134
11115386028245351
1240416a81b00146
1315669169429398
1478627b9da6b54
1534c76000b8009
hex18807dc8f54c6

431042323240134 has 24 divisors (see below), whose sum is σ = 974530469935152. Its totient is φ = 137433784221360.

The previous prime is 431042323240129. The next prime is 431042323240159.

431042323240134 is a `hidden beast` number, since 4 + 3 + 10 + 4 + 2 + 3 + 232 + 401 + 3 + 4 = 666.

431042323240134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520582515577 + ... + 520582516404.

It is an arithmetic number, because the mean of its divisors is an integer number (40605436247298).

Almost surely, 2431042323240134 is an apocalyptic number.

431042323240134 is an abundant number, since it is smaller than the sum of its proper divisors (543488146695018).

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

431042323240134 is a wasteful number, since it uses less digits than its factorization.

431042323240134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041165032012 (or 1041165032009 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 431042323240134 in words is "four hundred thirty-one trillion, forty-two billion, three hundred twenty-three million, two hundred forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 1041165031981 2082330063962 3123495095943 6246990191886 9370485287829 18740970575658 23946795735563 47893591471126 71840387206689 143680774413378 215521161620067 431042323240134