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13002999840 = 253259029861
BaseRepresentation
bin11000001110000101…
…00000100000100000
31020120012102211110200
430013002200200200
5203112231443330
65550135225200
7640140450345
oct140702404040
936505384420
1013002999840
115572944266
12262a818200
1312c2bb225c
148b4d0a7cc
15511845a60
hex3070a0820

13002999840 has 72 divisors (see below), whose sum is σ = 44372741868. Its totient is φ = 3467466240.

The previous prime is 13002999833. The next prime is 13002999857. The reversal of 13002999840 is 4899920031.

It can be written as a sum of positive squares in 2 ways, for example, as 11098201104 + 1904798736 = 105348^2 + 43644^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4513491 + ... + 4516370.

Almost surely, 213002999840 is an apocalyptic number.

13002999840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002999840 is an abundant number, since it is smaller than the sum of its proper divisors (31369742028).

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

13002999840 is a wasteful number, since it uses less digits than its factorization.

13002999840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9029882 (or 9029871 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 13002999840 in words is "thirteen billion, two million, nine hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9029861 18059722 27089583 36119444 45149305 54179166 72238888 81268749 90298610 108358332 135447915 144477776 162537498 180597220 216716664 270895830 288955552 325074996 361194440 406343745 433433328 541791660 650149992 722388880 812687490 866866656 1083583320 1300299984 1444777760 1625374980 2167166640 2600599968 3250749960 4334333280 6501499920 13002999840