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44261041257 = 3237313184701
BaseRepresentation
bin101001001110001010…
…011110010001101001
311020020121221212020100
4221032022132101221
51211121311310012
632155551420013
73124554433416
oct511612362151
9136217855210
1044261041257
1117853227444
1286b2b24609
134234ab1154
1421dc47310d
151240b228dc
hexa4e29e469

44261041257 has 12 divisors (see below), whose sum is σ = 64104021124. Its totient is φ = 29428250400.

The previous prime is 44261041247. The next prime is 44261041267. The reversal of 44261041257 is 75214016244.

44261041257 is a `hidden beast` number, since 4 + 426 + 104 + 125 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (44261041247) and next prime (44261041267).

It can be written as a sum of positive squares in 2 ways, for example, as 24254636121 + 20006405136 = 155739^2 + 141444^2 .

It is not a de Polignac number, because 44261041257 - 211 = 44261039209 is a prime.

It is a super-2 number, since 2×442610412572 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44261041247) by changing a digit.

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, 6588994 + ... + 6595707.

Almost surely, 244261041257 is an apocalyptic number.

It is an amenable number.

44261041257 is a deficient number, since it is larger than the sum of its proper divisors (19842979867).

44261041257 is a wasteful number, since it uses less digits than its factorization.

44261041257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13185080 (or 13185077 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 44261041257 in words is "forty-four billion, two hundred sixty-one million, forty-one thousand, two hundred fifty-seven".

Divisors: 1 3 9 373 1119 3357 13184701 39554103 118662309 4917893473 14753680419 44261041257