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232141000141232 = 24713159437500097
BaseRepresentation
bin110100110010000110001001…
…110110011110100110110000
31010102221110111102210222121122
4310302012021312132212300
5220411344232014004412
62141420034144041412
766616430250651050
oct6462061166364660
91112843442728548
10232141000141232
1167a70499749226
1222052593303268
139c6ba57ab0a10
144147981c35560
151bc87c0775572
hexd32189d9e9b0

232141000141232 has 40 divisors (see below), whose sum is σ = 553567000340256. Its totient is φ = 91836000055296.

The previous prime is 232141000141229. The next prime is 232141000141277.

It is a happy number.

232141000141232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 79718748593 + ... + 79718751504.

Almost surely, 2232141000141232 is an apocalyptic number.

It is an amenable number.

232141000141232 is an abundant number, since it is smaller than the sum of its proper divisors (321426000199024).

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

232141000141232 is a wasteful number, since it uses less digits than its factorization.

232141000141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159437500125 (or 159437500119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 232141000 and 141232, that added together give a palindrome (232282232).

The spelling of 232141000141232 in words is "two hundred thirty-two trillion, one hundred forty-one billion, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 159437500097 318875000194 637750000388 1116062500679 1275500000776 2072687501261 2232125001358 2551000001552 4145375002522 4464250002716 8290750005044 8928500005432 14508812508827 16581500010088 17857000010864 29017625017654 33163000020176 58035250035308 116070500070616 232141000141232