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40157945129 is a prime number
BaseRepresentation
bin100101011001100110…
…011001110100101001
310211122200020222111002
4211121212121310221
51124220413221004
630240500044345
72621102621141
oct453146316451
9124580228432
1040157945129
1116038127605
1279489936b5
133a2ca03913
141d2d563921
1510a07d561e
hex959999d29

40157945129 has 2 divisors, whose sum is σ = 40157945130. Its totient is φ = 40157945128.

The previous prime is 40157944999. The next prime is 40157945147. The reversal of 40157945129 is 92154975104.

40157945129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22429555225 + 17728389904 = 149765^2 + 133148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40157945129 is a prime.

It is a super-2 number, since 2×401579451292 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40157945629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20078972564 + 20078972565.

It is an arithmetic number, because the mean of its divisors is an integer number (20078972565).

Almost surely, 240157945129 is an apocalyptic number.

It is an amenable number.

40157945129 is a deficient number, since it is larger than the sum of its proper divisors (1).

40157945129 is an equidigital number, since it uses as much as digits as its factorization.

40157945129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 40157945129 in words is "forty billion, one hundred fifty-seven million, nine hundred forty-five thousand, one hundred twenty-nine".