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44151005133 = 3217377799153
BaseRepresentation
bin101001000111100110…
…101101111111001101
311012221221220110001100
4221013212231333031
51210410124131013
632141021133313
73122050231404
oct510746557715
9135857813040
1044151005133
11177a71006a4
1286820ba239
134218065511
1421cb9cc63b
151236139473
hexa479adfcd

44151005133 has 24 divisors (see below), whose sum is σ = 69350077368. Its totient is φ = 26953869312.

The previous prime is 44151005113. The next prime is 44151005141. The reversal of 44151005133 is 33150015144.

It is a happy number.

44151005133 is a `hidden beast` number, since 4 + 41 + 5 + 100 + 513 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11109581604 + 33041423529 = 105402^2 + 181773^2 .

It is not a de Polignac number, because 44151005133 - 228 = 43882569677 is a prime.

It is a super-2 number, since 2×441510051332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44151005097 and 44151005106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44151005113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3893916 + ... + 3905237.

It is an arithmetic number, because the mean of its divisors is an integer number (2889586557).

Almost surely, 244151005133 is an apocalyptic number.

It is an amenable number.

44151005133 is a deficient number, since it is larger than the sum of its proper divisors (25199072235).

44151005133 is a wasteful number, since it uses less digits than its factorization.

44151005133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799213 (or 7799210 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 44151005133 in words is "forty-four billion, one hundred fifty-one million, five thousand, one hundred thirty-three".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 7799153 23397459 70192377 132585601 288568661 397756803 865705983 1193270409 2597117949 4905667237 14717001711 44151005133