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41601145112631 = 32131276414367749
BaseRepresentation
bin10010111010110000001010…
…11110100000100000110111
312110022000211022221020111200
421131120011132200200313
520423043121122101011
6224251145140503543
711522404104664416
oct1135300536404067
9173260738836450
1041601145112631
1112289a45970635
1247ba6b73aabb3
131a29c81808130
14a3b712cc947d
154c221bae8856
hex25d6057a0837

41601145112631 has 48 divisors (see below), whose sum is σ = 65324208768000. Its totient is φ = 25359494307840.

The previous prime is 41601145112563. The next prime is 41601145112647. The reversal of 41601145112631 is 13621154110614.

41601145112631 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 1 + 1 + 4 + 5 + 1 + 12 + 631 = 666.

It is not a de Polignac number, because 41601145112631 - 215 = 41601145079863 is a prime.

It is a super-2 number, since 2×416011451126312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41601145112531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7340745 + ... + 11708493.

It is an arithmetic number, because the mean of its divisors is an integer number (1360921016000).

Almost surely, 241601145112631 is an apocalyptic number.

41601145112631 is a deficient number, since it is larger than the sum of its proper divisors (23723063655369).

41601145112631 is a wasteful number, since it uses less digits than its factorization.

41601145112631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368536 (or 4368533 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 41601145112631 in words is "forty-one trillion, six hundred one billion, one hundred forty-five million, one hundred twelve thousand, six hundred thirty-one".

Divisors: 1 3 9 13 39 117 127 381 641 1143 1651 1923 4953 5769 8333 14859 24999 74997 81407 244221 732663 1058291 3174873 4367749 9524619 13103247 39309741 56780737 170342211 511026633 554704123 1664112369 2799727109 4992337107 7211153599 8399181327 21633460797 25197543981 36396452417 64900382391 109189357251 327568071753 355565342843 1066696028529 3200088085587 4622349456959 13867048370877 41601145112631