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31407065441 is a prime number
BaseRepresentation
bin11101010000000000…
…011100100101100001
310000001210221020021222
4131100000130211201
51003310202043231
622232254224425
72161203436313
oct352000344541
9100053836258
1031407065441
1112357519134
1261061b5115
132c66a487bb
14173d2797b3
15c3c41727b
hex75001c961

31407065441 has 2 divisors, whose sum is σ = 31407065442. Its totient is φ = 31407065440.

The previous prime is 31407065399. The next prime is 31407065447. The reversal of 31407065441 is 14456070413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15961795600 + 15445269841 = 126340^2 + 124279^2 .

It is an emirp because it is prime and its reverse (14456070413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31407065441 - 26 = 31407065377 is a prime.

It is not a weakly prime, because it can be changed into another prime (31407065447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15703532720 + 15703532721.

It is an arithmetic number, because the mean of its divisors is an integer number (15703532721).

Almost surely, 231407065441 is an apocalyptic number.

It is an amenable number.

31407065441 is a deficient number, since it is larger than the sum of its proper divisors (1).

31407065441 is an equidigital number, since it uses as much as digits as its factorization.

31407065441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 31407065441 in words is "thirty-one billion, four hundred seven million, sixty-five thousand, four hundred forty-one".