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4256644041 = 341329139393
BaseRepresentation
bin1111110110110111…
…0011101111001001
3101222122121220220000
43331231303233021
532204200102131
61542214353213
7210324606636
oct37555635711
911878556800
104256644041
111894845741
129a965b809
1352ab4c2b0
142c547d18d
1519da6cce6
hexfdb73bc9

4256644041 has 40 divisors (see below), whose sum is σ = 7084003080. Its totient is φ = 2529128448.

The previous prime is 4256644037. The next prime is 4256644079. The reversal of 4256644041 is 1404466524.

4256644041 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 644 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 748569600 + 3508074441 = 27360^2 + 59229^2 .

It is not a de Polignac number, because 4256644041 - 22 = 4256644037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4256643987 and 4256644005.

It is not an unprimeable number, because it can be changed into a prime (4256144041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39160 + ... + 100233.

It is an arithmetic number, because the mean of its divisors is an integer number (177100077).

Almost surely, 24256644041 is an apocalyptic number.

It is an amenable number.

4256644041 is a deficient number, since it is larger than the sum of its proper divisors (2827359039).

4256644041 is a wasteful number, since it uses less digits than its factorization.

4256644041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139447 (or 139438 counting only the distinct ones).

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

The square root of 4256644041 is about 65242.9616203924. The cubic root of 4256644041 is about 1620.6495440552.

It can be divided in two parts, 425 and 6644041, that added together give a palindrome (6644466).

The spelling of 4256644041 in words is "four billion, two hundred fifty-six million, six hundred forty-four thousand, forty-one".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 351 377 783 1053 1131 2349 3393 10179 30537 139393 418179 1254537 1812109 3763611 4042397 5436327 11290833 12127191 16308981 36381573 48926943 52551161 109144719 146780829 157653483 327434157 472960449 1418881347 4256644041