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137438953441 is a prime number
BaseRepresentation
bin111111111111111111…
…1111111111111100001
3111010202100122020022221
41333333333333333201
54222433333002231
6143045533431041
712633602554156
oct1777777777741
9433670566287
10137438953441
1153318784a39
122277803b481
13cc6410a42a
14691b44a22d
153895e87d11
hex1fffffffe1

137438953441 has 2 divisors, whose sum is σ = 137438953442. Its totient is φ = 137438953440.

The previous prime is 137438953427. The next prime is 137438953447. The reversal of 137438953441 is 144359834731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127117206225 + 10321747216 = 356535^2 + 101596^2 .

It is a cyclic number.

It is not a de Polignac number, because 137438953441 - 211 = 137438951393 is a prime.

It is not a weakly prime, because it can be changed into another prime (137438953447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68719476720 + 68719476721.

It is an arithmetic number, because the mean of its divisors is an integer number (68719476721).

Almost surely, 2137438953441 is an apocalyptic number.

It is an amenable number.

137438953441 is a deficient number, since it is larger than the sum of its proper divisors (1).

137438953441 is an equidigital number, since it uses as much as digits as its factorization.

137438953441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4354560, while the sum is 52.

The spelling of 137438953441 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-three thousand, four hundred forty-one".