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41413455431415 = 335418011933979
BaseRepresentation
bin10010110101010010100100…
…10011001100011011110111
312102122002100220200112201000
421122221102103030123313
520412004224042301130
6224025025003334343
711503011014011554
oct1132512223143367
9172562326615630
1041413455431415
1112217390a43111
12478a2565213b3
131a1536ca22272
14a325c9b23a2b
154bc3d4291260
hex25aa524cc6f7

41413455431415 has 64 divisors (see below), whose sum is σ = 75429121420800. Its totient is φ = 21545751686400.

The previous prime is 41413455431393. The next prime is 41413455431417. The reversal of 41413455431415 is 51413455431414.

41413455431415 is a `hidden beast` number, since 4 + 1 + 4 + 13 + 455 + 43 + 141 + 5 = 666.

It is not a de Polignac number, because 41413455431415 - 26 = 41413455431351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41413455431417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43873896 + ... + 44807874.

It is an arithmetic number, because the mean of its divisors is an integer number (1178580022200).

Almost surely, 241413455431415 is an apocalyptic number.

41413455431415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41413455431415 is a deficient number, since it is larger than the sum of its proper divisors (34015665989385).

41413455431415 is a wasteful number, since it uses less digits than its factorization.

41413455431415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942045 (or 942039 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

Subtracting 41413455431415 from its reverse (51413455431414), we obtain a palindrome (9999999999999).

The spelling of 41413455431415 in words is "forty-one trillion, four hundred thirteen billion, four hundred fifty-five million, four hundred thirty-one thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 1107 1845 5535 8011 24033 40055 72099 120165 216297 328451 360495 933979 985353 1081485 1642255 2801937 2956059 4669895 4926765 8405811 8868177 14009685 14780295 25217433 38293139 42029055 44340885 114879417 126087165 191465695 344638251 574397085 1033914753 1723191255 5169573765 7482105769 22446317307 37410528845 67338951921 112231586535 202016855763 306766336529 336694759605 920299009587 1010084278815 1533831682645 2760897028761 4601495047935 8282691086283 13804485143805 41413455431415