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41341411414314 = 23211653319747331
BaseRepresentation
bin10010110011001100011000…
…01001000101000100101010
312102101012102001011021111100
421121212030021011010222
520404314202310224224
6223531552054142230
711464550466661434
oct1131461411050452
9172335361137440
1041341411414314
1112199880a7a810
1247782ab051976
131a0b62ac8b44b
14a2cd13875654
154ba5b94c5ac9
hex25998c24512a

41341411414314 has 48 divisors (see below), whose sum is σ = 97865705399904. Its totient is φ = 12508515549600.

The previous prime is 41341411414297. The next prime is 41341411414333.

41341411414314 is a `hidden beast` number, since 4 + 1 + 3 + 41 + 41 + 141 + 431 + 4 = 666.

41341411414314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413414114143142 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159744372 + ... + 160002959.

It is an arithmetic number, because the mean of its divisors is an integer number (2038868862498).

Almost surely, 241341411414314 is an apocalyptic number.

41341411414314 is an abundant number, since it is smaller than the sum of its proper divisors (56524293985590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41341411414314 is a wasteful number, since it uses less digits than its factorization.

41341411414314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319748003 (or 319748000 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 4134141 and 1414314, that added together give a palindrome (5548455).

The spelling of 41341411414314 in words is "forty-one trillion, three hundred forty-one billion, four hundred eleven million, four hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 653 1306 1959 3918 5877 7183 11754 14366 21549 43098 64647 129294 319747331 639494662 959241993 1918483986 2877725979 3517220641 5755451958 7034441282 10551661923 21103323846 31654985769 63309971538 208795007143 417590014286 626385021429 1252770042858 1879155064287 2296745078573 3758310128574 4593490157146 6890235235719 13780470471438 20670705707157 41341411414314