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10134142344 = 2332140751977
BaseRepresentation
bin10010111000000101…
…01011110110001000
3222011021011202211100
421130002223312020
5131223320023334
64353333501400
7506063534334
oct113402536610
928137152740
1010134142344
114330506157
121b69aa1860
13c56726541
146c1cc07c4
153e4a58c99
hex25c0abd88

10134142344 has 24 divisors (see below), whose sum is σ = 27446635710. Its totient is φ = 3378047424.

The previous prime is 10134142321. The next prime is 10134142351. The reversal of 10134142344 is 44324143101.

10134142344 is a `hidden beast` number, since 1 + 0 + 13 + 414 + 234 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9768950244 + 365192100 = 98838^2 + 19110^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70375917 + ... + 70376060.

Almost surely, 210134142344 is an apocalyptic number.

It is an amenable number.

10134142344 is an abundant number, since it is smaller than the sum of its proper divisors (17312493366).

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

10134142344 is a wasteful number, since it uses less digits than its factorization.

10134142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140751989 (or 140751982 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10134142344 its reverse (44324143101), we get a palindrome (54458285445).

The spelling of 10134142344 in words is "ten billion, one hundred thirty-four million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140751977 281503954 422255931 563007908 844511862 1126015816 1266767793 1689023724 2533535586 3378047448 5067071172 10134142344