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41151311315114 = 27111375127370307
BaseRepresentation
bin10010101101101010010010…
…10010110000000010101010
312101201000201122021122211112
421112311021102300002222
520343210341144040424
6223304352413230322
711445040566542120
oct1126651122600252
9171630648248745
1041151311315114
111212619a474610
124747496a923a2
1319c67239aca50
14a23a3c4db910
154b569023a60e
hex256d494b00aa

41151311315114 has 64 divisors (see below), whose sum is σ = 82988525555712. Its totient is φ = 14779965240000.

The previous prime is 41151311315089. The next prime is 41151311315123.

41151311315114 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12181652 + ... + 15188655.

It is an arithmetic number, because the mean of its divisors is an integer number (1296695711808).

Almost surely, 241151311315114 is an apocalyptic number.

41151311315114 is an abundant number, since it is smaller than the sum of its proper divisors (41837214240598).

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

41151311315114 is a wasteful number, since it uses less digits than its factorization.

41151311315114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27371091.

The product of its digits is 3600, while the sum is 32.

The spelling of 41151311315114 in words is "forty-one trillion, one hundred fifty-one billion, three hundred eleven million, three hundred fifteen thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 751 1001 1502 2002 5257 8261 9763 10514 16522 19526 57827 68341 107393 115654 136682 214786 751751 1503502 27370307 54740614 191592149 301073377 355813991 383184298 602146754 711627982 2107513639 2490697937 3913953901 4215027278 4981395874 7827907802 20555100557 27397677307 41110201114 54795354614 143885703899 226106106127 267216307241 287771407798 452212212254 534432614482 1582742742889 1870514150687 2939379379651 3165485485778 3741028301374 5878758759302 20575655657557 41151311315114