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10244044224 = 2632102117419
BaseRepresentation
bin10011000101001011…
…11011010111000000
3222102220222100212100
421202211323113000
5131434433403344
64412301230400
7511566640101
oct114245732700
928386870770
1010244044224
114387550057
121b9a862400
13c7342603b
146d272c3a8
153ee517569
hex26297b5c0

10244044224 has 84 divisors (see below), whose sum is σ = 29393149240. Its totient is φ = 3411141120.

The previous prime is 10244044207. The next prime is 10244044231. The reversal of 10244044224 is 42244044201.

10244044224 is a `hidden beast` number, since 10 + 24 + 404 + 4 + 224 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579387 + ... + 596805.

Almost surely, 210244044224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696574620).

10244044224 is an abundant number, since it is smaller than the sum of its proper divisors (19149105016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10244044224 is a wasteful number, since it uses less digits than its factorization.

10244044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18458 (or 18445 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 10244044224 its reverse (42244044201), we get a palindrome (52488088425).

The spelling of 10244044224 in words is "ten billion, two hundred forty-four million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1021 2042 3063 4084 6126 8168 9189 12252 16336 17419 18378 24504 32672 34838 36756 49008 52257 65344 69676 73512 98016 104514 139352 147024 156771 196032 209028 278704 294048 313542 418056 557408 588096 627084 836112 1114816 1254168 1672224 2508336 3344448 5016672 10033344 17784799 35569598 53354397 71139196 106708794 142278392 160063191 213417588 284556784 320126382 426835176 569113568 640252764 853670352 1138227136 1280505528 1707340704 2561011056 3414681408 5122022112 10244044224