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40726240152641 is a prime number
BaseRepresentation
bin10010100001010010100010…
…00100111100110001000001
312100012101112200220021110122
421100221101010330301001
520314224314434341031
6222341213151110025
711402242124352011
oct1120512104746101
9170171480807418
1040726240152641
1111a819a092082a
124699027512315
131995611180534
14a0b236749c41
154a95b27b447b
hex250a5113cc41

40726240152641 has 2 divisors, whose sum is σ = 40726240152642. Its totient is φ = 40726240152640.

The previous prime is 40726240152551. The next prime is 40726240152643. The reversal of 40726240152641 is 14625104262704.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27780067662400 + 12946172490241 = 5270680^2 + 3598079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40726240152641 is a prime.

Together with 40726240152643, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 40726240152592 and 40726240152601.

It is not a weakly prime, because it can be changed into another prime (40726240152643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20363120076320 + 20363120076321.

It is an arithmetic number, because the mean of its divisors is an integer number (20363120076321).

Almost surely, 240726240152641 is an apocalyptic number.

It is an amenable number.

40726240152641 is a deficient number, since it is larger than the sum of its proper divisors (1).

40726240152641 is an equidigital number, since it uses as much as digits as its factorization.

40726240152641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 40726240152641 in words is "forty trillion, seven hundred twenty-six billion, two hundred forty million, one hundred fifty-two thousand, six hundred forty-one".