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4130314344 = 2332134412729
BaseRepresentation
bin1111011000101111…
…1001100001101000
3101122211220201010100
43312023321201220
531424330024334
61521502545400
7204232043532
oct36613714150
911584821110
104130314344
11182a500332
12973298260
1350a91a2b0
142b2796852
15192916c99
hexf62f9868

4130314344 has 48 divisors (see below), whose sum is σ = 12046752900. Its totient is φ = 1270865664.

The previous prime is 4130314337. The next prime is 4130314369. The reversal of 4130314344 is 4434130314.

4130314344 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 314 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3531924900 + 598389444 = 59430^2 + 24462^2 .

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 11 ways as a sum of consecutive naturals, for example, 2205429 + ... + 2207300.

Almost surely, 24130314344 is an apocalyptic number.

It is an amenable number.

4130314344 is an abundant number, since it is smaller than the sum of its proper divisors (7916438556).

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

4130314344 is a wasteful number, since it uses less digits than its factorization.

4130314344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412754 (or 4412747 counting only the distinct ones).

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

The square root of 4130314344 is about 64267.5216886415. The cubic root of 4130314344 is about 1604.4555943237.

Adding to 4130314344 its reverse (4434130314), we get a palindrome (8564444658).

The spelling of 4130314344 in words is "four billion, one hundred thirty million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 4412729 8825458 13238187 17650916 26476374 35301832 39714561 52952748 57365477 79429122 105905496 114730954 158858244 172096431 229461908 317716488 344192862 458923816 516289293 688385724 1032578586 1376771448 2065157172 4130314344