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10442044400 = 2452107243973
BaseRepresentation
bin10011011100110010…
…01111001111110000
3222221201112211001012
421232121033033300
5132341130410100
64444053130052
7516522625064
oct115631171760
928851484035
1010442044400
114479297567
122035029928
13ca545ccc8
14710b4daa4
15411ac9135
hex26e64f3f0

10442044400 has 60 divisors (see below), whose sum is σ = 25321573512. Its totient is φ = 4137765120.

The previous prime is 10442044399. The next prime is 10442044441. The reversal of 10442044400 is 444024401.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 79187 + ... + 164786.

Almost surely, 210442044400 is an apocalyptic number.

10442044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442044400 is an abundant number, since it is smaller than the sum of its proper divisors (14879529112).

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

10442044400 is a wasteful number, since it uses less digits than its factorization.

10442044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244098 (or 244087 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 10442044400 its reverse (444024401), we get a palindrome (10886068801).

The spelling of 10442044400 in words is "ten billion, four hundred forty-two million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 856 1070 1712 2140 2675 4280 5350 8560 10700 21400 42800 243973 487946 975892 1219865 1951784 2439730 3903568 4879460 6099325 9758920 12198650 19517840 24397300 26105111 48794600 52210222 97589200 104420444 130525555 208840888 261051110 417681776 522102220 652627775 1044204440 1305255550 2088408880 2610511100 5221022200 10442044400