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44413360992225 = 32524442892
BaseRepresentation
bin10100001100100110010101…
…00110101110111111100001
312211020212122111020210221100
422012103022212232333201
521310132030403222400
6234243114422545013
712232521326364021
oct1206231246567741
9184225574223840
1044413360992225
1113173667476275
124b93734898169
131ba2214b07794
14ad7892275a81
1552046057d100
hex2864ca9aefe1

44413360992225 has 27 divisors (see below), whose sum is σ = 79549443403833. Its totient is φ = 23687072547840.

The previous prime is 44413360992223. The next prime is 44413360992317. The reversal of 44413360992225 is 52229906331444.

It is a happy number.

The square root of 44413360992225 is 6664335.

It is a perfect power (a square), and thus also a powerful number.

44413360992225 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 3 + 3 + 609 + 9 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18797089184721 + 25616271807504 = 4335561^2 + 5061252^2 .

It is not a de Polignac number, because 44413360992225 - 21 = 44413360992223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44413360992223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99742881 + ... + 100187169.

Almost surely, 244413360992225 is an apocalyptic number.

44413360992225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

44413360992225 is the 6664335-th square number.

44413360992225 is the 3332168-th centered octagonal number.

It is an amenable number.

44413360992225 is a deficient number, since it is larger than the sum of its proper divisors (35136082411608).

44413360992225 is an frugal number, since it uses more digits than its factorization.

44413360992225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888594 (or 444297 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 44413360992225 in words is "forty-four trillion, four hundred thirteen billion, three hundred sixty million, nine hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 444289 1332867 2221445 3998601 6664335 11107225 19993005 33321675 99965025 197392715521 592178146563 986963577605 1776534439689 2960890732815 4934817888025 8882672198445 14804453664075 44413360992225