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10444344040 = 2351320085277
BaseRepresentation
bin10011011101000100…
…00000101011101000
3222221212212122120001
421232202000223220
5132342223002130
64444214312344
7516551313424
oct115642005350
928855778501
1010444344040
11447a618299
1220359586b4
13ca5a86940
1471118bb84
15411dd06ca
hex26e880ae8

10444344040 has 32 divisors (see below), whose sum is σ = 25307450280. Its totient is φ = 3856372992.

The previous prime is 10444344037. The next prime is 10444344049. The reversal of 10444344040 is 4044344401.

It can be written as a sum of positive squares in 4 ways, for example, as 7888637124 + 2555706916 = 88818^2 + 50554^2 .

It is not an unprimeable number, because it can be changed into a prime (10444344049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10042119 + ... + 10043158.

Almost surely, 210444344040 is an apocalyptic number.

10444344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444344040 is an abundant number, since it is smaller than the sum of its proper divisors (14863106240).

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

10444344040 is a wasteful number, since it uses less digits than its factorization.

10444344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20085301 (or 20085297 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 10444344040 its reverse (4044344401), we get a palindrome (14488688441).

The spelling of 10444344040 in words is "ten billion, four hundred forty-four million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 20085277 40170554 80341108 100426385 160682216 200852770 261108601 401705540 522217202 803411080 1044434404 1305543005 2088868808 2611086010 5222172020 10444344040