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40141450072961 is a prime number
BaseRepresentation
bin10010010000010001010001…
…10111110101001110000001
312021010111002200012020012122
421020020220313311032001
520230134142204313321
6221212421054134025
711312060360606006
oct1110105067651601
9167114080166178
1040141450072961
1111876991098516
1246038224b1315
1319524266ba8a3
149cabdc5318ad
15499287dc48ab
hex248228df5381

40141450072961 has 2 divisors, whose sum is σ = 40141450072962. Its totient is φ = 40141450072960.

The previous prime is 40141450072951. The next prime is 40141450073093. The reversal of 40141450072961 is 16927005414104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35534176713025 + 4607273359936 = 5961055^2 + 2146456^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40141450072961 is a prime.

It is a super-2 number, since 2×401414500729612 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40141450072951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20070725036480 + 20070725036481.

It is an arithmetic number, because the mean of its divisors is an integer number (20070725036481).

Almost surely, 240141450072961 is an apocalyptic number.

It is an amenable number.

40141450072961 is a deficient number, since it is larger than the sum of its proper divisors (1).

40141450072961 is an equidigital number, since it uses as much as digits as its factorization.

40141450072961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 40141450072961 in words is "forty trillion, one hundred forty-one billion, four hundred fifty million, seventy-two thousand, nine hundred sixty-one".