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10444314040 = 235299003719
BaseRepresentation
bin10011011101000011…
…11001010110111000
3222221212211010101221
421232201321112320
5132342221022130
64444213521424
7516551130106
oct115641712670
928855733357
1010444314040
11447a5a77a6
122035943274
13ca5a760a4
14711180c76
15411dc687a
hex26e8795b8

10444314040 has 32 divisors (see below), whose sum is σ = 24310044000. Its totient is φ = 4033665664.

The previous prime is 10444314031. The next prime is 10444314091. The reversal of 10444314040 is 4041344401.

It is a happy number.

It is a super-2 number, since 2×104443140402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10444313996 and 10444314014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4500700 + ... + 4503019.

It is an arithmetic number, because the mean of its divisors is an integer number (759688875).

Almost surely, 210444314040 is an apocalyptic number.

10444314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444314040 is an abundant number, since it is smaller than the sum of its proper divisors (13865729960).

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

10444314040 is a wasteful number, since it uses less digits than its factorization.

10444314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9003759 (or 9003755 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10444314040 its reverse (4041344401), we get a palindrome (14485658441).

The spelling of 10444314040 in words is "ten billion, four hundred forty-four million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 9003719 18007438 36014876 45018595 72029752 90037190 180074380 261107851 360148760 522215702 1044431404 1305539255 2088862808 2611078510 5222157020 10444314040