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14330044404 = 22321385735729
BaseRepresentation
bin11010101100010001…
…10001111111110100
31100222200111200101100
431112020301333310
5213321442410104
610325542330100
71015053240054
oct152610617764
940880450340
1014330044404
116093a33505
12293b129930
131474ac8c20
1499d26b564
1558d0c9139
hex356231ff4

14330044404 has 72 divisors (see below), whose sum is σ = 39056177160. Its totient is φ = 4403976192.

The previous prime is 14330044403. The next prime is 14330044409. The reversal of 14330044404 is 40444003341.

It can be written as a sum of positive squares in 4 ways, for example, as 169520400 + 14160524004 = 13020^2 + 118998^2 .

It is a super-2 number, since 2×143300444042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330044403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383212 + ... + 418940.

It is an arithmetic number, because the mean of its divisors is an integer number (542446905).

Almost surely, 214330044404 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 14330044404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19528088580).

14330044404 is an abundant number, since it is smaller than the sum of its proper divisors (24726132756).

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

14330044404 is a wasteful number, since it uses less digits than its factorization.

14330044404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36609 (or 36604 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14330044404 its reverse (40444003341), we get a palindrome (54774047745).

The spelling of 14330044404 in words is "fourteen billion, three hundred thirty million, forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 857 1714 2571 3428 5142 7713 10284 11141 15426 22282 30852 33423 35729 44564 66846 71458 100269 107187 133692 142916 200538 214374 321561 401076 428748 464477 643122 928954 1286244 1393431 1857908 2786862 4180293 5573724 8360586 16721172 30619753 61239506 91859259 122479012 183718518 275577777 367437036 398056789 551155554 796113578 1102311108 1194170367 1592227156 2388340734 3582511101 4776681468 7165022202 14330044404