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40808107520 = 29576120947
BaseRepresentation
bin100110000000010110…
…100100111000000000
310220022222122122121122
4212000112210320000
51132033333420040
630425203211412
72643156122255
oct460026447000
9126288578548
1040808107520
11163411271a4
127aaa676b68
133b046137ab
141d91a4742c
1510dc9111b5
hex9805a4e00

40808107520 has 80 divisors (see below), whose sum is σ = 97977063888. Its totient is φ = 16301015040.

The previous prime is 40808107513. The next prime is 40808107523. The reversal of 40808107520 is 2570180804.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40808107523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937687 + ... + 1958633.

Almost surely, 240808107520 is an apocalyptic number.

40808107520 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 40808107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988531944).

40808107520 is an abundant number, since it is smaller than the sum of its proper divisors (57168956368).

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

40808107520 is an equidigital number, since it uses as much as digits as its factorization.

40808107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21731 (or 21715 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The spelling of 40808107520 in words is "forty billion, eight hundred eight million, one hundred seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 761 1280 1522 2560 3044 3805 6088 7610 12176 15220 20947 24352 30440 41894 48704 60880 83788 97408 104735 121760 167576 194816 209470 243520 335152 389632 418940 487040 670304 837880 974080 1340608 1675760 1948160 2681216 3351520 5362432 6703040 10724864 13406080 15940667 26812160 31881334 53624320 63762668 79703335 127525336 159406670 255050672 318813340 510101344 637626680 1020202688 1275253360 2040405376 2550506720 4080810752 5101013440 8161621504 10202026880 20404053760 40808107520