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40707076004 = 22729316172621
BaseRepresentation
bin100101111010010101…
…001010111110100100
310220001221112201102122
4211322111022332210
51131332002413004
630411153525112
72640521302610
oct457225127644
9126057481378
1040707076004
111629a0a0781
127a80873798
133ab96cb62a
141d82468340
1510d3b05cbe
hex97a54afa4

40707076004 has 96 divisors (see below), whose sum is σ = 87112488960. Its totient is φ = 16268313600.

The previous prime is 40707075979. The next prime is 40707076009. The reversal of 40707076004 is 40067070704.

It is not an unprimeable number, because it can be changed into a prime (40707076009) by changing a digit.

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, 15529814 + ... + 15532434.

It is an arithmetic number, because the mean of its divisors is an integer number (907421760).

Almost surely, 240707076004 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 40707076004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43556244480).

40707076004 is an abundant number, since it is smaller than the sum of its proper divisors (46405412956).

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

40707076004 is a wasteful number, since it uses less digits than its factorization.

40707076004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The spelling of 40707076004 in words is "forty billion, seven hundred seven million, seventy-six thousand, four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 617 812 868 899 1234 1798 2468 2621 3596 4319 5242 6293 8638 10484 12586 17276 17893 18347 19127 25172 35786 36694 38254 71572 73388 76009 76508 81251 125251 133889 152018 162502 250502 267778 304036 325004 501004 532063 535556 554683 568757 1064126 1109366 1137514 1617157 2128252 2218732 2275028 2356279 3234314 3882781 4712558 6468628 7765562 9425116 11320099 15531124 16493953 22640198 32987906 45280396 46897553 50131867 65975812 93795106 100263734 187590212 200527468 328282871 350923069 656565742 701846138 1313131484 1403692276 1453824143 2907648286 5815296572 10176769001 20353538002 40707076004