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10442314332 = 2232290064287
BaseRepresentation
bin10011011100110100…
…10001001001011100
3222221202001112022200
421232122101021130
5132341213024312
64444103011500
7516525131052
oct115632211134
928852045280
1010442314332
11447946134a
122035139b90
13ca5525b28
14710bc01d2
15411b2e0dc
hex26e69125c

10442314332 has 18 divisors (see below), whose sum is σ = 26395850208. Its totient is φ = 3480771432.

The previous prime is 10442314321. The next prime is 10442314339. The reversal of 10442314332 is 23341324401.

10442314332 is a `hidden beast` number, since 10 + 4 + 4 + 2 + 314 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 10442314296 and 10442314305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442314339) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145032108 + ... + 145032179.

Almost surely, 210442314332 is an apocalyptic number.

10442314332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10442314332 is an abundant number, since it is smaller than the sum of its proper divisors (15953535876).

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

10442314332 is a wasteful number, since it uses less digits than its factorization.

10442314332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290064297 (or 290064292 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10442314332 its reverse (23341324401), we get a palindrome (33783638733).

The spelling of 10442314332 in words is "ten billion, four hundred forty-two million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 290064287 580128574 870192861 1160257148 1740385722 2610578583 3480771444 5221157166 10442314332