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444034110443022 = 234111921912965159
BaseRepresentation
bin110010011110110001011111…
…1011010111100111000001110
32011020012020122121200212120000
41210331202333122330320032
5431200023324233134042
64212214242042305130
7162346256124003111
oct14475427732747016
92136166577625500
10444034110443022
11119534899444010
12419749511b81a6
131609c310756628
147b91519370578
15365052d71d74c
hex193d8bf6bce0e

444034110443022 has 80 divisors (see below), whose sum is σ = 1085473274371200. Its totient is φ = 134548779479760.

The previous prime is 444034110443009. The next prime is 444034110443029. The reversal of 444034110443022 is 220344011430444.

444034110443022 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 341 + 1 + 0 + 4 + 4 + 302 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444034110443029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27765679 + ... + 40730837.

It is an arithmetic number, because the mean of its divisors is an integer number (13568415929640).

Almost surely, 2444034110443022 is an apocalyptic number.

444034110443022 is an abundant number, since it is smaller than the sum of its proper divisors (641439163928178).

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

444034110443022 is a wasteful number, since it uses less digits than its factorization.

444034110443022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984403 (or 12984394 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444034110443022 its reverse (220344011430444), we get a palindrome (664378121873466).

The spelling of 444034110443022 in words is "four hundred forty-four trillion, thirty-four billion, one hundred ten million, four hundred forty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 19219 38438 57657 115314 172971 211409 345942 422818 518913 634227 1037826 1268454 1556739 1902681 3113478 3805362 5708043 11416086 12965159 17124129 25930318 34248258 38895477 77790954 116686431 142616749 233372862 285233498 350059293 427850247 700118586 855700494 1050177879 1283550741 2100355758 2567101482 3850652223 7701304446 11551956669 23103913338 249177390821 498354781642 747532172463 1495064344926 2242596517389 2740951299031 4485193034778 5481902598062 6727789552167 8222853897093 13455579104334 16445707794186 20183368656501 24668561691279 40366737313002 49337123382558 74005685073837 148011370147674 222017055221511 444034110443022