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232142424241232 = 24731371450745077
BaseRepresentation
bin110100110010000111011110…
…101110111111010001010000
31010102221121011200111202120002
4310302013132232333101100
5220411410141101204412
62141420431335305132
766616510452420101
oct6462073656772120
91112847150452502
10232142424241232
1167a7105a5a867a
122205291021b1a8
139c6bc23b49b3b
144147a7901c3a8
151bc88557cadc2
hexd321debbf450

232142424241232 has 40 divisors (see below), whose sum is σ = 459265270832616. Its totient is φ = 113645566273536.

The previous prime is 232142424241213. The next prime is 232142424241289.

232142424241232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 26881902170176 + 205260522071056 = 5184776^2 + 14326916^2 .

It is a super-2 number, since 2×2321424242412322 (a number of 30 digits) contains 22 as substring.

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, 725212523 + ... + 725532554.

Almost surely, 2232142424241232 is an apocalyptic number.

It is an amenable number.

232142424241232 is a deficient number, since it is larger than the sum of its proper divisors (227122846591384).

232142424241232 is a wasteful number, since it uses less digits than its factorization.

232142424241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450745295 (or 1450745289 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

The spelling of 232142424241232 in words is "two hundred thirty-two trillion, one hundred forty-two billion, four hundred twenty-four million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 73 137 146 274 292 548 584 1096 1168 2192 10001 20002 40004 80008 160016 1450745077 2901490154 5802980308 11605960616 23211921232 105904390621 198752075549 211808781242 397504151098 423617562484 795008302196 847235124968 1590016604392 1694470249936 3180033208784 14508901515077 29017803030154 58035606060308 116071212120616 232142424241232