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1231937945329 = 72132121972
BaseRepresentation
bin10001111011010101001…
…110010011111011110001
311100202211212120211120111
4101323111032103323301
5130141002103222304
62341540001341321
7155001366521200
oct21732516237361
94322755524514
101231937945329
11435509943133
1217a911637841
138c22c30ac00
14438aa0b7237
15220a3a1a704
hex11ed5393ef1

1231937945329 has 27 divisors (see below), whose sum is σ = 1551913822017. Its totient is φ = 974640217824.

The previous prime is 1231937945309. The next prime is 1231937945339. The reversal of 1231937945329 is 9235497391321.

The square root of 1231937945329 is 1109927.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37026610929 + 1194911334400 = 192423^2 + 1093120^2 .

It is not a de Polignac number, because 1231937945329 - 227 = 1231803727601 is a prime.

It is a super-2 number, since 2×12319379453292 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1231937945309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100997259 + ... + 101009455.

Almost surely, 21231937945329 is an apocalyptic number.

1231937945329 is the 1109927-th square number.

1231937945329 is the 554964-th centered octagonal number.

It is an amenable number.

1231937945329 is a deficient number, since it is larger than the sum of its proper divisors (319975876688).

1231937945329 is an frugal number, since it uses more digits than its factorization.

1231937945329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24434 (or 12217 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 58.

The spelling of 1231937945329 in words is "one trillion, two hundred thirty-one billion, nine hundred thirty-seven million, nine hundred forty-five thousand, three hundred twenty-nine".

Divisors: 1 7 13 49 91 169 637 1183 8281 12197 85379 158561 597653 1109927 2061293 7769489 14429051 101003357 148766809 1041367663 1933968517 7289573641 13537779619 25141590721 94764457333 175991135047 1231937945329