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232314101413232 = 2466538111269069
BaseRepresentation
bin110100110100100111010111…
…011111011011010101110000
31010110120000022011101201010212
4310310213113133123111300
5220422213234430210412
62142031342545043252
766635066000332406
oct6464472737332560
91113500264351125
10232314101413232
1168027947916a03
1222080042626528
139c821833b9a97
1441520c3717476
151bcd0524bb222
hexd349d77db570

232314101413232 has 40 divisors (see below), whose sum is σ = 450233401700160. Its totient is φ = 116124840999680.

The previous prime is 232314101413213. The next prime is 232314101413249.

232314101413232 is nontrivially palindromic in base 10.

It is a congruent number.

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, 863265194 + ... + 863534262.

It is an arithmetic number, because the mean of its divisors is an integer number (11255835042504).

Almost surely, 2232314101413232 is an apocalyptic number.

It is an amenable number.

232314101413232 is a deficient number, since it is larger than the sum of its proper divisors (217919300286928).

232314101413232 is a wasteful number, since it uses less digits than its factorization.

232314101413232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283841 (or 283835 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 23231410 and 1413232, that added together give a palindrome (24644642).

The spelling of 232314101413232 in words is "two hundred thirty-two trillion, three hundred fourteen billion, one hundred one million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 6653 8111 13306 16222 26612 32444 53224 64888 106448 129776 269069 538138 1076276 2152552 4305104 53962483 107924966 215849932 431699864 863399728 1790116057 2182418659 3580232114 4364837318 7160464228 8729674636 14320928456 17459349272 28641856912 34918698544 14519631338327 29039262676654 58078525353308 116157050706616 232314101413232