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10134430344 = 233415639553
BaseRepresentation
bin10010111000000111…
…10010001010001000
3222011021201101220000
421130003302022020
5131223403232334
64353344003000
7506066144103
oct113403621210
928137641800
1010134430344
114330692575
121b6a000460
13c567c765c
146c1d5773a
153e4ab4299
hex25c0f2288

10134430344 has 40 divisors (see below), whose sum is σ = 28385790510. Its totient is φ = 3378143232.

The previous prime is 10134430333. The next prime is 10134430357. The reversal of 10134430344 is 44303443101.

10134430344 is a `hidden beast` number, since 10 + 1 + 344 + 303 + 4 + 4 = 666.

10134430344 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 6144992100 + 3989438244 = 78390^2 + 63162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 7819129 + ... + 7820424.

Almost surely, 210134430344 is an apocalyptic number.

It is an amenable number.

10134430344 is an abundant number, since it is smaller than the sum of its proper divisors (18251360166).

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

10134430344 is a wasteful number, since it uses less digits than its factorization.

10134430344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15639571 (or 15639558 counting only the distinct ones).

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

Adding to 10134430344 its reverse (44303443101), we get a palindrome (54437873445).

The spelling of 10134430344 in words is "ten billion, one hundred thirty-four million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15639553 31279106 46918659 62558212 93837318 125116424 140755977 187674636 281511954 375349272 422267931 563023908 844535862 1126047816 1266803793 1689071724 2533607586 3378143448 5067215172 10134430344