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10465313440 = 25565408209
BaseRepresentation
bin10011011111100100…
…00000001010100000
31000000100100000011111
421233302000022200
5132413110012230
64450243553104
7520224460621
oct115762001240
930010300144
1010465313440
11449043a97a
12204098b794
13caa21937a
14713c89a48
15413b7392a
hex26fc802a0

10465313440 has 24 divisors (see below), whose sum is σ = 24724303380. Its totient is φ = 4186125312.

The previous prime is 10465313437. The next prime is 10465313471. The reversal of 10465313440 is 4431356401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8450021776 + 2015291664 = 91924^2 + 44892^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32703945 + ... + 32704264.

Almost surely, 210465313440 is an apocalyptic number.

10465313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10465313440 is an abundant number, since it is smaller than the sum of its proper divisors (14258989940).

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

10465313440 is an equidigital number, since it uses as much as digits as its factorization.

10465313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65408224 (or 65408216 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10465313440 its reverse (4431356401), we get a palindrome (14896669841).

The spelling of 10465313440 in words is "ten billion, four hundred sixty-five million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 65408209 130816418 261632836 327041045 523265672 654082090 1046531344 1308164180 2093062688 2616328360 5232656720 10465313440