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10004033040 = 243541683471
BaseRepresentation
bin10010101000100100…
…10110111000010000
3221211012100112102020
421110102112320100
5130442013024130
64332405051440
7502623610041
oct112422267020
927735315366
1010004033040
11427401a101
121b323b6b80
13c357a00a1
146ac8d28c8
153d8407e10
hex254496e10

10004033040 has 40 divisors (see below), whose sum is σ = 31012503168. Its totient is φ = 2667742080.

The previous prime is 10004033009. The next prime is 10004033059. The reversal of 10004033040 is 4033040001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20841496 + ... + 20841975.

Almost surely, 210004033040 is an apocalyptic number.

10004033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004033040 is an abundant number, since it is smaller than the sum of its proper divisors (21008470128).

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

10004033040 is a wasteful number, since it uses less digits than its factorization.

10004033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41683487 (or 41683481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10004033040 its reverse (4033040001), we get a palindrome (14037073041).

The spelling of 10004033040 in words is "ten billion, four million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41683471 83366942 125050413 166733884 208417355 250100826 333467768 416834710 500201652 625252065 666935536 833669420 1000403304 1250504130 1667338840 2000806608 2501008260 3334677680 5002016520 10004033040