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10444312240 = 245130553903
BaseRepresentation
bin10011011101000011…
…11000111010110000
3222221212211000221021
421232201320322300
5132342220442430
64444213505224
7516551121625
oct115641707260
928855730837
1010444312240
11447a5a640a
122035942214
13ca5a7531b
1471118034c
15411dc607a
hex26e878eb0

10444312240 has 20 divisors (see below), whose sum is σ = 24283026144. Its totient is φ = 4177724864.

The previous prime is 10444312237. The next prime is 10444312261. The reversal of 10444312240 is 4221344401.

10444312240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×104443122402 (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, 65276872 + ... + 65277031.

Almost surely, 210444312240 is an apocalyptic number.

10444312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444312240 is an abundant number, since it is smaller than the sum of its proper divisors (13838713904).

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

10444312240 is a wasteful number, since it uses less digits than its factorization.

10444312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130553916 (or 130553910 counting only the distinct ones).

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

Adding to 10444312240 its reverse (4221344401), we get a palindrome (14665656641).

The spelling of 10444312240 in words is "ten billion, four hundred forty-four million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 130553903 261107806 522215612 652769515 1044431224 1305539030 2088862448 2611078060 5222156120 10444312240