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10304145144 = 2332143113127
BaseRepresentation
bin10011001100010110…
…01100011011111000
3222121010001210211100
421212023030123320
5132100330121034
64422245331400
7513226534326
oct114613143370
928533053740
1010304145144
11440846a837
121bb6a06b60
13c82a09c07
146da6d4d16
1540493a099
hex2662cc6f8

10304145144 has 24 divisors (see below), whose sum is σ = 27907059960. Its totient is φ = 3434715024.

The previous prime is 10304145119. The next prime is 10304145239. The reversal of 10304145144 is 44154140301.

10304145144 is a `hidden beast` number, since 103 + 0 + 41 + 4 + 514 + 4 = 666.

10304145144 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 (24).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 71556492 + ... + 71556635.

It is an arithmetic number, because the mean of its divisors is an integer number (1162794165).

Almost surely, 210304145144 is an apocalyptic number.

It is an amenable number.

10304145144 is an abundant number, since it is smaller than the sum of its proper divisors (17602914816).

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

10304145144 is a wasteful number, since it uses less digits than its factorization.

10304145144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143113139 (or 143113132 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10304145144 its reverse (44154140301), we get a palindrome (54458285445).

The spelling of 10304145144 in words is "ten billion, three hundred four million, one hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 143113127 286226254 429339381 572452508 858678762 1144905016 1288018143 1717357524 2576036286 3434715048 5152072572 10304145144