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4156315344 = 2432170916889
BaseRepresentation
bin1111011110111100…
…0101011011010000
3101201122211200210100
43313233011123100
532003004042334
61524232132400
7204666045306
oct36757053320
911648750710
104156315344
11184314a265
1297bb37100
13513121cbc
142b6004276
15194d50c99
hexf7bc56d0

4156315344 has 60 divisors (see below), whose sum is σ = 11639405700. Its totient is φ = 1384545792.

The previous prime is 4156315307. The next prime is 4156315369. The reversal of 4156315344 is 4435136514.

4156315344 is a `hidden beast` number, since 4 + 1 + 563 + 1 + 53 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 3752787600 = 20088^2 + 61260^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4156315299 and 4156315308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237652 + ... + 254540.

It is an arithmetic number, because the mean of its divisors is an integer number (193990095).

Almost surely, 24156315344 is an apocalyptic number.

It is an amenable number.

4156315344 is an abundant number, since it is smaller than the sum of its proper divisors (7483090356).

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

4156315344 is a wasteful number, since it uses less digits than its factorization.

4156315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18612 (or 18603 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 4156315344 is about 64469.4915754731. The cubic root of 4156315344 is about 1607.8153237082.

The spelling of 4156315344 in words is "four billion, one hundred fifty-six million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1709 3418 5127 6836 10254 13672 15381 16889 20508 27344 30762 33778 41016 50667 61524 67556 82032 101334 123048 135112 152001 202668 246096 270224 304002 405336 608004 810672 1216008 2432016 28863301 57726602 86589903 115453204 173179806 230906408 259769709 346359612 461812816 519539418 692719224 1039078836 1385438448 2078157672 4156315344