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40157945161 is a prime number
BaseRepresentation
bin100101011001100110…
…011001110101001001
310211122200020222112021
4211121212121311021
51124220413221121
630240500044441
72621102621215
oct453146316511
9124580228467
1040157945161
1116038127634
127948993721
133a2ca03939
141d2d563945
1510a07d5641
hex959999d49

40157945161 has 2 divisors, whose sum is σ = 40157945162. Its totient is φ = 40157945160.

The previous prime is 40157945147. The next prime is 40157945167. The reversal of 40157945161 is 16154975104.

40157945161 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., 21629290761 + 18528654400 = 147069^2 + 136120^2 .

It is a cyclic number.

It is not a de Polignac number, because 40157945161 - 25 = 40157945129 is a prime.

It is a super-2 number, since 2×401579451612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40157945167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20078972580 + 20078972581.

It is an arithmetic number, because the mean of its divisors is an integer number (20078972581).

Almost surely, 240157945161 is an apocalyptic number.

It is an amenable number.

40157945161 is a deficient number, since it is larger than the sum of its proper divisors (1).

40157945161 is an equidigital number, since it uses as much as digits as its factorization.

40157945161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 40157945161 in words is "forty billion, one hundred fifty-seven million, nine hundred forty-five thousand, one hundred sixty-one".