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14044031334432 = 2532114433090699
BaseRepresentation
bin1100110001011110000101…
…1111111011100000100000
31211201121002200122111110200
43030113201133323200200
53320044134010200212
645511423335225200
72646435121462011
oct314274137734040
954647080574420
1014044031334432
114525049619980
1216a99b1818200
137ab4672793a8
14367a401c9008
151954b67996dc
hexcc5e17fb820

14044031334432 has 72 divisors (see below), whose sum is σ = 43568415399600. Its totient is φ = 4255767070080.

The previous prime is 14044031334413. The next prime is 14044031334433. The reversal of 14044031334432 is 23443313044041.

14044031334432 is a `hidden beast` number, since 1 + 40 + 4 + 40 + 3 + 133 + 443 + 2 = 666.

14044031334432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×140440313344322 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14044031334433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2216542182 + ... + 2216548517.

It is an arithmetic number, because the mean of its divisors is an integer number (605116880550).

Almost surely, 214044031334432 is an apocalyptic number.

14044031334432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14044031334432 is an abundant number, since it is smaller than the sum of its proper divisors (29524384065168).

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

14044031334432 is a wasteful number, since it uses less digits than its factorization.

14044031334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433090726 (or 4433090715 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 14044031334432 its reverse (23443313044041), we get a palindrome (37487344378473).

The spelling of 14044031334432 in words is "fourteen trillion, forty-four billion, thirty-one million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 4433090699 8866181398 13299272097 17732362796 26598544194 35464725592 39897816291 48763997689 53197088388 70929451184 79795632582 97527995378 106394176776 141858902368 146291993067 159591265164 195055990756 212788353552 292583986134 319182530328 390111981512 425576707104 438875979201 585167972268 638365060656 780223963024 877751958402 1170335944536 1276730121312 1560447926048 1755503916804 2340671889072 3511007833608 4681343778144 7022015667216 14044031334432