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44324986225 = 52132412792
BaseRepresentation
bin101001010001111110…
…011001110101110001
311020102002021121020111
4221101332121311301
51211234144024400
632210154141321
73126262111042
oct512176316561
9136362247214
1044324986225
1117886332223
128710421841
13424510c900
142206b5a8c9
1512465543ba
hexa51f99d71

44324986225 has 81 divisors (see below), whose sum is σ = 61785113859. Its totient is φ = 31529721600.

The previous prime is 44324986201. The next prime is 44324986231. The reversal of 44324986225 is 52268942344.

The square root of 44324986225 is 210535.

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

It can be written as a sum of positive squares in 13 ways, for example, as 40169378929 + 4155607296 = 200423^2 + 64464^2 .

It is not a de Polignac number, because 44324986225 - 217 = 44324855153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 561075736 + ... + 561075814.

Almost surely, 244324986225 is an apocalyptic number.

44324986225 is the 210535-th square number.

44324986225 is the 105268-th centered octagonal number.

It is an amenable number.

44324986225 is a deficient number, since it is larger than the sum of its proper divisors (17460127634).

44324986225 is an equidigital number, since it uses as much as digits as its factorization.

44324986225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 49.

Multiplying 44324986225 by its sum of digits (49), we get a square (2171924325025 = 14737452).

The spelling of 44324986225 in words is "forty-four billion, three hundred twenty-four million, nine hundred eighty-six thousand, two hundred twenty-five".

Divisors: 1 5 13 25 41 65 79 169 205 325 395 533 845 1025 1027 1681 1975 2665 3239 4225 5135 6241 6929 8405 13325 13351 16195 21853 25675 31205 34645 42025 42107 66755 80975 81133 109265 132799 156025 173225 210535 255881 284089 333775 405665 546325 547391 663995 1052675 1054729 1279405 1420445 1726387 2028325 2736955 3319975 3326453 5273645 6397025 7102225 8631935 10491121 13684775 16632265 22443031 26368225 43159675 43243889 52455605 83161325 112215155 136384573 216219445 262278025 561075775 681922865 1081097225 1772999449 3409614325 8864997245 44324986225