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41456416000131 = 32113871091081741
BaseRepresentation
bin10010110110100010100101…
…11100110000100010000011
312102210012020220120112222200
421123101102330300202003
520413210214444001011
6224100451541404243
711506061430556206
oct1133212274604203
9172705226515880
1041456416000131
111223362707a260
124796645a09683
131a19428261322
14a3470359193d
154bd59ab2d856
hex25b452f30883

41456416000131 has 24 divisors (see below), whose sum is σ = 65325490716720. Its totient is φ = 25125012475200.

The previous prime is 41456416000127. The next prime is 41456416000163. The reversal of 41456416000131 is 13100061465414.

41456416000131 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 6 + 41 + 600 + 0 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 41456416000131 - 22 = 41456416000127 is a prime.

It is a super-2 number, since 2×414564160001312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41456416007131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37782921 + ... + 38864661.

It is an arithmetic number, because the mean of its divisors is an integer number (2721895446530).

Almost surely, 241456416000131 is an apocalyptic number.

41456416000131 is a deficient number, since it is larger than the sum of its proper divisors (23869074716589).

41456416000131 is a wasteful number, since it uses less digits than its factorization.

41456416000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468867 (or 1468864 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 41456416000131 its reverse (13100061465414), we get a palindrome (54556477465545).

The spelling of 41456416000131 in words is "forty-one trillion, four hundred fifty-six billion, four hundred sixteen million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 11 33 99 387109 1081741 1161327 3245223 3483981 4258199 9735669 11899151 12774597 35697453 38323791 107092359 418751676769 1256255030307 3768765090921 4606268444459 13818805333377 41456416000131