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41413131012 = 223113160716673
BaseRepresentation
bin100110100100011010…
…100011101100000100
310221220011010000211010
4212210122203230010
51134303230143022
631005215042220
72664153543201
oct464432435404
9127804100733
1041413131012
11166216a6310
128039210370
133b9ca7aa66
14200c13aca8
151125ac250c
hex9a46a3b04

41413131012 has 96 divisors (see below), whose sum is σ = 109001539584. Its totient is φ = 12123878400.

The previous prime is 41413130989. The next prime is 41413131037. The reversal of 41413131012 is 21013131414.

It is a super-2 number, since 2×414131310122 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41413131012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2475508 + ... + 2492180.

It is an arithmetic number, because the mean of its divisors is an integer number (1135432704).

Almost surely, 241413131012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41413131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54500769792).

41413131012 is an abundant number, since it is smaller than the sum of its proper divisors (67588408572).

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

41413131012 is a wasteful number, since it uses less digits than its factorization.

41413131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17329 (or 17327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 41413131012 its reverse (21013131414), we get a palindrome (62426262426).

The spelling of 41413131012 in words is "forty-one billion, four hundred thirteen million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 607 682 1023 1214 1364 1821 2046 2428 3642 4092 6677 7284 13354 16673 18817 20031 26708 33346 37634 40062 50019 56451 66692 75268 80124 100038 112902 183403 200076 206987 225804 366806 413974 516863 550209 620961 733612 827948 1033726 1100418 1241922 1550589 2067452 2200836 2483844 3101178 5685493 6202356 10120511 11370986 17056479 20241022 22741972 30361533 34112958 40482044 60723066 68225916 111325621 121446132 222651242 313735841 333976863 445302484 627471682 667953726 941207523 1254943364 1335907452 1882415046 3451094251 3764830092 6902188502 10353282753 13804377004 20706565506 41413131012