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14804380044 = 2234431079931
BaseRepresentation
bin11011100100110100…
…01110100110001100
31102012202001102120000
431302122032212030
5220304410130134
610445005124300
71032603103566
oct156232164614
942182042500
1014804380044
116307760933
122a51b59690
13151c1665bc
14a06262336
155b9a72e99
hex37268e98c

14804380044 has 120 divisors (see below), whose sum is σ = 39975743808. Its totient is φ = 4774502880.

The previous prime is 14804380021. The next prime is 14804380049. The reversal of 14804380044 is 44008340841.

14804380044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14804379990 and 14804380008.

It is not an unprimeable number, because it can be changed into a prime (14804380049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1485759 + ... + 1495689.

Almost surely, 214804380044 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 14804380044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987871904).

14804380044 is an abundant number, since it is smaller than the sum of its proper divisors (25171363764).

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

14804380044 is a wasteful number, since it uses less digits than its factorization.

14804380044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10097 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 14804380044 in words is "fourteen billion, eight hundred four million, three hundred eighty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 107 108 129 162 172 214 258 321 324 387 428 516 642 774 963 1161 1284 1548 1926 2322 2889 3483 3852 4601 4644 5778 6966 8667 9202 9931 11556 13803 13932 17334 18404 19862 27606 29793 34668 39724 41409 55212 59586 82818 89379 119172 124227 165636 178758 248454 268137 357516 372681 427033 496908 536274 745362 804411 854066 1062617 1072548 1281099 1490724 1608822 1708132 2125234 2562198 3187851 3217644 3843297 4250468 5124396 6375702 7686594 9563553 11529891 12751404 15373188 19127106 23059782 28690659 34589673 38254212 45692531 46119564 57381318 69179346 86071977 91385062 114762636 137077593 138358692 172143954 182770124 274155186 344287908 411232779 548310372 822465558 1233698337 1644931116 2467396674 3701095011 4934793348 7402190022 14804380044