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40102380080 = 245734433299
BaseRepresentation
bin100101010110010010…
…011100001000110000
310211111210200222120022
4211112102130020300
51124112202130310
630231153103012
72616526415000
oct452622341060
9124453628508
1040102380080
1116009825784
127932257a68
133a2134a4a9
141d2601c000
15109a9aba55
hex95649c230

40102380080 has 160 divisors (see below), whose sum is σ = 109010880000. Its totient is φ = 13714192128.

The previous prime is 40102380079. The next prime is 40102380151. The reversal of 40102380080 is 8008320104.

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, 12154271 + ... + 12157569.

It is an arithmetic number, because the mean of its divisors is an integer number (681318000).

Almost surely, 240102380080 is an apocalyptic number.

40102380080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40102380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54505440000).

40102380080 is an abundant number, since it is smaller than the sum of its proper divisors (68908499920).

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

40102380080 is a wasteful number, since it uses less digits than its factorization.

40102380080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 40102380080 in words is "forty billion, one hundred two million, three hundred eighty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 443 490 560 686 784 886 980 1372 1715 1772 1960 2215 2744 3101 3299 3430 3544 3920 4430 5488 6202 6598 6860 7088 8860 12404 13196 13720 15505 16495 17720 21707 23093 24808 26392 27440 31010 32990 35440 43414 46186 49616 52784 62020 65980 86828 92372 108535 115465 124040 131960 151949 161651 173656 184744 217070 230930 248080 263920 303898 323302 347312 369488 434140 461860 607796 646604 759745 808255 868280 923720 1131557 1215592 1293208 1461457 1519490 1616510 1736560 1847440 2263114 2431184 2586416 2922914 3038980 3233020 4526228 5657785 5845828 6077960 6466040 7307285 9052456 10230199 11315570 11691656 12155920 12932080 14614570 18104912 20460398 22631140 23383312 29229140 40920796 45262280 51150995 58458280 71611393 81841592 90524560 102301990 116916560 143222786 163683184 204603980 286445572 358056965 409207960 501279751 572891144 716113930 818415920 1002559502 1145782288 1432227860 2005119004 2506398755 2864455720 4010238008 5012797510 5728911440 8020476016 10025595020 20051190040 40102380080