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10440320440 = 2351122157091
BaseRepresentation
bin10011011100100101…
…01010010110111000
3222221121022020012211
421232102222112320
5132340210223230
64443552144504
7516502155004
oct115622522670
928847266184
1010440320440
11447831a300
122034538134
13ca4ca8404
14710821704
1541188842a
hex26e4aa5b8

10440320440 has 48 divisors (see below), whose sum is σ = 25820391240. Its totient is φ = 3796478400.

The previous prime is 10440320413. The next prime is 10440320447. The reversal of 10440320440 is 4402304401.

10440320440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440320447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1073706 + ... + 1083385.

Almost surely, 210440320440 is an apocalyptic number.

10440320440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440320440 is an abundant number, since it is smaller than the sum of its proper divisors (15380070800).

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

10440320440 is a wasteful number, since it uses less digits than its factorization.

10440320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157124 (or 2157109 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10440320440 its reverse (4402304401), we get a palindrome (14842624841).

The spelling of 10440320440 in words is "ten billion, four hundred forty million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 2157091 4314182 8628364 10785455 17256728 21570910 23728001 43141820 47456002 86283640 94912004 118640005 189824008 237280010 261008011 474560020 522016022 949120040 1044032044 1305040055 2088064088 2610080110 5220160220 10440320440