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232142141241232 = 24311610472906161
BaseRepresentation
bin110100110010000111001101…
…110111011011011110010000
31010102221120102221222212112121
4310302013031313123132100
5220411404101124204412
62141420343305504024
766616500445103155
oct6462071567333620
91112846387885477
10232142141241232
1167a70a24885582
12220528514a2014
139c6bbaa321b11
144147a4d5d222c
151bc883aa29107
hexd321cdddb790

232142141241232 has 40 divisors (see below), whose sum is σ = 464287325153792. Its totient is φ = 112326106406400.

The previous prime is 232142141241223. The next prime is 232142141241347.

It is a happy number.

232142141241232 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78426232 + ... + 81332392.

Almost surely, 2232142141241232 is an apocalyptic number.

It is an amenable number.

232142141241232 is an abundant number, since it is smaller than the sum of its proper divisors (232145183912560).

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

232142141241232 is a wasteful number, since it uses less digits than its factorization.

232142141241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067247 (or 3067241 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 232142141241232 in words is "two hundred thirty-two trillion, one hundred forty-two billion, one hundred forty-one million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 161047 322094 644188 1288376 2576752 2906161 4992457 5812322 9984914 11624644 19969828 23249288 39939656 46498576 79879312 90090991 180181982 360363964 720727928 1441455856 468028510567 936057021134 1872114042268 3744228084536 7488456169072 14508883827577 29017767655154 58035535310308 116071070620616 232142141241232