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431032040230134 = 237149385317876191
BaseRepresentation
bin110001000000001010111011…
…1101001010000110011110110
32002112011021000222201122002010
41202000111313221100303312
5422444012104244331014
64124421215150025050
7156535015526465340
oct14200256751206366
92075137028648063
10431032040230134
11115381730800782
1240414a921a8186
13156681bac0c495
1478620c2414290
1534c71ec455359
hex1880577a50cf6

431032040230134 has 64 divisors (see below), whose sum is σ = 992085753139200. Its totient is φ = 122293732970880.

The previous prime is 431032040230093. The next prime is 431032040230157.

It is a happy number.

431032040230134 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 31 ways as a sum of consecutive naturals, for example, 15173979 + ... + 33050169.

It is an arithmetic number, because the mean of its divisors is an integer number (15501339892800).

Almost surely, 2431032040230134 is an apocalyptic number.

431032040230134 is an abundant number, since it is smaller than the sum of its proper divisors (561053712909066).

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

431032040230134 is a wasteful number, since it uses less digits than its factorization.

431032040230134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17880205.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 431032040230134 in words is "four hundred thirty-one trillion, thirty-two billion, forty million, two hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 149 298 447 894 1043 2086 3129 3853 6258 7706 11559 23118 26971 53942 80913 161826 574097 1148194 1722291 3444582 4018679 8037358 12056037 17876191 24112074 35752382 53628573 107257146 125133337 250266674 375400011 750800022 2663552459 5327104918 7990657377 15981314754 18644867213 37289734426 55934601639 68876963923 111869203278 137753927846 206630891769 413261783538 482138747461 964277494922 1446416242383 2892832484766 10262667624527 20525335249054 30788002873581 61576005747162 71838673371689 143677346743378 215516020115067 431032040230134