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140757781329 = 32112113692
BaseRepresentation
bin1000001100010111010…
…0010100101101010001
3111110022122121011022100
42003011310110231101
54301232443000304
6144355131431013
713112052254214
oct2030564245521
9443278534270
10140757781329
1154771109500
12233435b5469
1310372882509
146b5412777b
1539dc509439
hex20c5d14b51

140757781329 has 27 divisors (see below), whose sum is σ = 223500103099. Its totient is φ = 85300242720.

The previous prime is 140757781319. The next prime is 140757781331. The reversal of 140757781329 is 923187757041.

The square root of 140757781329 is 375177.

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

140757781329 is a `hidden beast` number, since 1 + 40 + 7 + 577 + 8 + 1 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81124141329 + 59633640000 = 284823^2 + 244200^2 .

It is not a de Polignac number, because 140757781329 - 29 = 140757780817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140757781319) 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, 12375157 + ... + 12386525.

Almost surely, 2140757781329 is an apocalyptic number.

140757781329 is the 375177-th square number.

140757781329 is the 187589-th centered octagonal number.

It is an amenable number.

140757781329 is a deficient number, since it is larger than the sum of its proper divisors (82742321770).

140757781329 is an frugal number, since it uses more digits than its factorization.

140757781329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22766 (or 11383 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 140757781329 in words is "one hundred forty billion, seven hundred fifty-seven million, seven hundred eighty-one thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 11369 34107 102321 125059 375177 1125531 1375649 4126947 12380841 129254161 387762483 1163287449 1421795771 4265387313 12796161939 15639753481 46919260443 140757781329