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231444303444132 = 223372157724158639
BaseRepresentation
bin110100100111111101010011…
…011111011111100010100100
31010100110212012110001202120120
4310213331103133133202210
5220313440413140203012
62140124013432001540
766515204411514162
oct6447752337374244
91110425173052516
10231444303444132
1167821a8360aa29
1221b5b558b302b0
139c1b147b1159c
144121d6d52a232
151bb55e66c458c
hexd27f537df8a4

231444303444132 has 48 divisors (see below), whose sum is σ = 554658022490880. Its totient is φ = 75059535382272.

The previous prime is 231444303444061. The next prime is 231444303444143.

231444303444132 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2499132 + ... + 21659507.

It is an arithmetic number, because the mean of its divisors is an integer number (11555375468560).

Almost surely, 2231444303444132 is an apocalyptic number.

It is an amenable number.

231444303444132 is an abundant number, since it is smaller than the sum of its proper divisors (323213719046748).

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

231444303444132 is a wasteful number, since it uses less digits than its factorization.

231444303444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24180260 (or 24180258 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 23144430 and 3444132, that added together give a palindrome (26588562).

The spelling of 231444303444132 in words is "two hundred thirty-one trillion, four hundred forty-four billion, three hundred three million, four hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 21577 43154 64731 86308 129462 258924 798349 1596698 2395047 3193396 4790094 9580188 24158639 48317278 72475917 96634556 144951834 289903668 893869643 1787739286 2681608929 3575478572 5363217858 10726435716 521270953703 1042541907406 1563812861109 2085083814812 3127625722218 6255251444436 19287025287011 38574050574022 57861075861033 77148101148044 115722151722066 231444303444132