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44014302144 = 2632154949331
BaseRepresentation
bin101000111111011101…
…001111001111000000
311012121102200012210200
4220333131033033000
51210120130132034
632115255125200
73115500252411
oct507735171700
9135542605720
1044014302144
1117736a2071a
128644373800
1341c5940a87
1421b77a5808
151229134a99
hexa3f74f3c0

44014302144 has 84 divisors (see below), whose sum is σ = 126243054600. Its totient is φ = 14661665280.

The previous prime is 44014302131. The next prime is 44014302193. The reversal of 44014302144 is 44120341044.

44014302144 is a `hidden beast` number, since 4 + 401 + 43 + 0 + 214 + 4 = 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, 867559 + ... + 916889.

Almost surely, 244014302144 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 44014302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63121527300).

44014302144 is an abundant number, since it is smaller than the sum of its proper divisors (82228752456).

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

44014302144 is a wasteful number, since it uses less digits than its factorization.

44014302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50898 (or 50885 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44014302144 its reverse (44120341044), we get a palindrome (88134643188).

The spelling of 44014302144 in words is "forty-four billion, fourteen million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1549 3098 4647 6196 9294 12392 13941 18588 24784 27882 37176 49331 49568 55764 74352 98662 99136 111528 147993 148704 197324 223056 295986 297408 394648 443979 446112 591972 789296 887958 892224 1183944 1578592 1775916 2367888 3157184 3551832 4735776 7103664 9471552 14207328 28414656 76413719 152827438 229241157 305654876 458482314 611309752 687723471 916964628 1222619504 1375446942 1833929256 2445239008 2750893884 3667858512 4890478016 5501787768 7335717024 11003575536 14671434048 22007151072 44014302144