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14004433024 = 273117919717
BaseRepresentation
bin11010000101011101…
…01011000010000000
31100010222210220112121
431002232223002000
5212140113324044
610233351334024
71004020500541
oct150256530200
940128726477
1014004433024
115a3715689a
12286a081314
13142250187a
1496bd0c4c8
1556e70b984
hex342bab080

14004433024 has 64 divisors (see below), whose sum is σ = 28961798400. Its totient is φ = 6738140160.

The previous prime is 14004433019. The next prime is 14004433057. The reversal of 14004433024 is 42033440041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×140044330242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14004433024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700414 + ... + 720130.

It is an arithmetic number, because the mean of its divisors is an integer number (452528100).

Almost surely, 214004433024 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 14004433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480899200).

14004433024 is an abundant number, since it is smaller than the sum of its proper divisors (14957365376).

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

14004433024 is a wasteful number, since it uses less digits than its factorization.

14004433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19941 (or 19929 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 14004433024 its reverse (42033440041), we get a palindrome (56037873065).

The spelling of 14004433024 in words is "fourteen billion, four million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 179 248 358 496 716 992 1432 1984 2864 3968 5549 5728 11098 11456 19717 22196 22912 39434 44392 78868 88784 157736 177568 315472 355136 611227 630944 710272 1222454 1261888 2444908 2523776 3529343 4889816 7058686 9779632 14117372 19559264 28234744 39118528 56469488 78237056 109409633 112938976 218819266 225877952 437638532 451755904 875277064 1750554128 3501108256 7002216512 14004433024