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10441440320 = 26532629501
BaseRepresentation
bin10011011100101101…
…11011110001000000
3222221200102010101212
421232112323301000
5132341002042240
64444032145252
7516514530653
oct115626736100
928850363355
1010441440320
114478a14723
122034998228
13ca52ab06c
14710a3389a
15411a0a165
hex26e5bbc40

10441440320 has 28 divisors (see below), whose sum is σ = 24863680524. Its totient is φ = 4176576000.

The previous prime is 10441440313. The next prime is 10441440337. The reversal of 10441440320 is 2304414401.

It is a happy number.

10441440320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4354944064 + 6086496256 = 65992^2 + 78016^2 .

It is a super-2 number, since 2×104414403202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 16314431 + ... + 16315070.

Almost surely, 210441440320 is an apocalyptic number.

10441440320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441440320 is an abundant number, since it is smaller than the sum of its proper divisors (14422240204).

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

10441440320 is an equidigital number, since it uses as much as digits as its factorization.

10441440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32629518 (or 32629508 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10441440320 its reverse (2304414401), we get a palindrome (12745854721).

The spelling of 10441440320 in words is "ten billion, four hundred forty-one million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 32629501 65259002 130518004 163147505 261036008 326295010 522072016 652590020 1044144032 1305180040 2088288064 2610360080 5220720160 10441440320