Search a number
-
+
6256224144 = 243247924383
BaseRepresentation
bin1011101001110011…
…00110011110010000
3121011000012010010100
411310321212132100
5100303043133034
62512444332400
7311015012352
oct56471463620
917130163110
106256224144
112720525885
121267244100
137891aa4a1
14434c690d2
1526939b099
hex174e66790

6256224144 has 60 divisors (see below), whose sum is σ = 17881284096. Its totient is φ = 2041035456.

The previous prime is 6256224137. The next prime is 6256224197. The reversal of 6256224144 is 4414226526.

6256224144 is a `hidden beast` number, since 6 + 25 + 622 + 4 + 1 + 4 + 4 = 666.

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 = 6256224099 and 6256224108.

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, 455424 + ... + 468959.

Almost surely, 26256224144 is an apocalyptic number.

It is an amenable number.

6256224144 is an abundant number, since it is smaller than the sum of its proper divisors (11625059952).

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

6256224144 is a wasteful number, since it uses less digits than its factorization.

6256224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924444 (or 924435 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 6256224144 is about 79096.2966516132. The cubic root of 6256224144 is about 1842.6270115885.

It can be divided in two parts, 6256 and 224144, that added together give a square (230400 = 4802).

The spelling of 6256224144 in words is "six billion, two hundred fifty-six million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 924383 1848766 2773149 3697532 5546298 7395064 8319447 11092596 14790128 16638894 22185192 33277788 43446001 44370384 66555576 86892002 130338003 133111152 173784004 260676006 347568008 391014009 521352012 695136016 782028018 1042704024 1564056036 2085408048 3128112072 6256224144