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137438954041 is a prime number
BaseRepresentation
bin1000000000000000000…
…0000000001000111001
3111010202100122021011011
42000000000000020321
54222433333012131
6143045533433521
712633602556004
oct2000000001071
9433670567134
10137438954041
1153318785434
122277803b8a1
13cc6410a79c
14691b44a53b
153895e880b1
hex2000000239

137438954041 has 2 divisors, whose sum is σ = 137438954042. Its totient is φ = 137438954040.

The previous prime is 137438954039. The next prime is 137438954063. The reversal of 137438954041 is 140459834731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130003513600 + 7435440441 = 360560^2 + 86229^2 .

It is a cyclic number.

It is not a de Polignac number, because 137438954041 - 21 = 137438954039 is a prime.

It is a super-2 number, since 2×1374389540412 (a number of 23 digits) contains 22 as substring.

Together with 137438954039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137438954011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68719477020 + 68719477021.

It is an arithmetic number, because the mean of its divisors is an integer number (68719477021).

Almost surely, 2137438954041 is an apocalyptic number.

It is an amenable number.

137438954041 is a deficient number, since it is larger than the sum of its proper divisors (1).

137438954041 is an equidigital number, since it uses as much as digits as its factorization.

137438954041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 137438954041 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-four thousand, forty-one".