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41418313920 = 2632514381359
BaseRepresentation
bin100110100100101110…
…010101000011000000
310221220111212100102200
4212210232111003000
51134311042021140
631005522113200
72664245600544
oct464456250300
9127814770380
1041418313920
1116624616305
12803aaab800
133ba0b73b79
14200cac9a24
151126298030
hex9a4b950c0

41418313920 has 84 divisors (see below), whose sum is σ = 142461752160. Its totient is φ = 11044882944.

The previous prime is 41418313873. The next prime is 41418313961. The reversal of 41418313920 is 2931381414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7187800 + ... + 7193559.

It is an arithmetic number, because the mean of its divisors is an integer number (1695973240).

Almost surely, 241418313920 is an apocalyptic number.

41418313920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41418313920 is an abundant number, since it is smaller than the sum of its proper divisors (101043438240).

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

41418313920 is a wasteful number, since it uses less digits than its factorization.

41418313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14381382 (or 14381369 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 41418313920 in words is "forty-one billion, four hundred eighteen million, three hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 14381359 28762718 43144077 57525436 71906795 86288154 115050872 129432231 143813590 172576308 215720385 230101744 258864462 287627180 345152616 431440770 460203488 517728924 575254360 647161155 690305232 862881540 920406976 1035457848 1150508720 1294322310 1380610464 1725763080 2070915696 2301017440 2588644620 2761220928 3451526160 4141831392 4602034880 5177289240 6903052320 8283662784 10354578480 13806104640 20709156960 41418313920