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231545541424032 = 25321173088870399
BaseRepresentation
bin110100101001011011100101…
…101111101111001110100000
31010100211112111220011222222200
4310221123211233233032200
5220322120232101032112
62140242315301133200
766525420240243423
oct6451334557571640
91110745456158880
10231545541424032
1167860a04832710
1221b770b13ba200
139c2785cc526c4
144126c14b659ba
151bb806e44ccdc
hexd296e5bef3a0

231545541424032 has 72 divisors (see below), whose sum is σ = 718317418291200. Its totient is φ = 70165315582080.

The previous prime is 231545541424027. The next prime is 231545541424069. The reversal of 231545541424032 is 230424145545132.

231545541424032 is a `hidden beast` number, since 2 + 3 + 1 + 54 + 5 + 54 + 142 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2315455414240322 (a number of 30 digits) contains 22 as substring.

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, 36544432032 + ... + 36544438367.

It is an arithmetic number, because the mean of its divisors is an integer number (9976630809600).

Almost surely, 2231545541424032 is an apocalyptic number.

231545541424032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231545541424032 is an abundant number, since it is smaller than the sum of its proper divisors (486771876867168).

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

231545541424032 is a wasteful number, since it uses less digits than its factorization.

231545541424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73088870426 (or 73088870415 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 231545541424032 its reverse (230424145545132), we get a palindrome (461969686969164).

The spelling of 231545541424032 in words is "two hundred thirty-one trillion, five hundred forty-five billion, five hundred forty-one million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 73088870399 146177740798 219266611197 292355481596 438533222394 584710963192 657799833591 803977574389 877066444788 1169421926384 1315599667182 1607955148778 1754132889576 2338843852768 2411932723167 2631199334364 3215910297556 3508265779152 4823865446334 5262398668728 6431820595112 7016531558304 7235798169501 9647730892668 10524797337456 12863641190224 14471596339002 19295461785336 21049594674912 25727282380448 28943192678004 38590923570672 57886385356008 77181847141344 115772770712016 231545541424032