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14034031032 = 23373717912613
BaseRepresentation
bin11010001000111111…
…00101000110111000
31100020001111122101010
431010133211012320
5212220202443112
610240325553520
71004530203240
oct150437450670
940201448333
1014034031032
115a5193225a
122877b758a0
131428695898
14971c14b20
1557210663c
hex3447e51b8

14034031032 has 128 divisors (see below), whose sum is σ = 41414284800. Its totient is φ = 3879249408.

The previous prime is 14034031021. The next prime is 14034031057. The reversal of 14034031032 is 23013043041.

14034031032 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 (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1106358 + ... + 1118970.

It is an arithmetic number, because the mean of its divisors is an integer number (323549100).

Almost surely, 214034031032 is an apocalyptic number.

14034031032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14034031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707142400).

14034031032 is an abundant number, since it is smaller than the sum of its proper divisors (27380253768).

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

14034031032 is a wasteful number, since it uses less digits than its factorization.

14034031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12845 (or 12841 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14034031032 its reverse (23013043041), we get a palindrome (37047074073).

The spelling of 14034031032 in words is "fourteen billion, thirty-four million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 179 222 259 296 358 444 518 537 716 777 888 1036 1074 1253 1432 1554 2072 2148 2506 3108 3759 4296 5012 6216 6623 7518 10024 12613 13246 15036 19869 25226 26492 30072 37839 39738 46361 50452 52984 75678 79476 88291 92722 100904 139083 151356 158952 176582 185444 264873 278166 302712 353164 370888 466681 529746 556332 706328 933362 1059492 1112664 1400043 1866724 2118984 2257727 2800086 3266767 3733448 4515454 5600172 6533534 6773181 9030908 9800301 11200344 13067068 13546362 15804089 18061816 19600602 26134136 27092724 31608178 39201204 47412267 54185448 63216356 78402408 83535899 94824534 126432712 167071798 189649068 250607697 334143596 379298136 501215394 584751293 668287192 1002430788 1169502586 1754253879 2004861576 2339005172 3508507758 4678010344 7017015516 14034031032