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40402131641 is a prime number
BaseRepresentation
bin100101101000001001…
…111001101010111001
310212021200201221101222
4211220021321222321
51130220421203031
630321021521425
72630126311154
oct455011715271
9125250657358
1040402131641
1116152a4a543
1279b6713275
133a6b48c191
141d53b68c9b
1510b6e6be7b
hex968279ab9

40402131641 has 2 divisors, whose sum is σ = 40402131642. Its totient is φ = 40402131640.

The previous prime is 40402131619. The next prime is 40402131661. The reversal of 40402131641 is 14613120404.

It is a happy number.

40402131641 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., 23972019241 + 16430112400 = 154829^2 + 128180^2 .

It is a cyclic number.

It is not a de Polignac number, because 40402131641 - 210 = 40402130617 is a prime.

It is a super-2 number, since 2×404021316412 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40402131641.

It is not a weakly prime, because it can be changed into another prime (40402131661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20201065820 + 20201065821.

It is an arithmetic number, because the mean of its divisors is an integer number (20201065821).

Almost surely, 240402131641 is an apocalyptic number.

It is an amenable number.

40402131641 is a deficient number, since it is larger than the sum of its proper divisors (1).

40402131641 is an equidigital number, since it uses as much as digits as its factorization.

40402131641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 40402131641 in words is "forty billion, four hundred two million, one hundred thirty-one thousand, six hundred forty-one".