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14076452808 = 23341113611451
BaseRepresentation
bin11010001110000010…
…11001111111001000
31100100000022220010000
431013001121333020
5212312032442213
610244443123000
71005553606005
oct150701317710
940300286100
1014076452808
115a73877380
12288a213460
1314343c9822
149776d88ac
15575bd5c73
hex347059fc8

14076452808 has 160 divisors (see below), whose sum is σ = 43072650720. Its totient is φ = 4259520000.

The previous prime is 14076452791. The next prime is 14076452839. The reversal of 14076452808 is 80825467041.

14076452808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 39 ways as a sum of consecutive naturals, for example, 9700483 + ... + 9701933.

It is an arithmetic number, because the mean of its divisors is an integer number (269204067).

Almost surely, 214076452808 is an apocalyptic number.

14076452808 is a gapful number since it is divisible by the number (18) 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 14076452808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21536325360).

14076452808 is an abundant number, since it is smaller than the sum of its proper divisors (28996197912).

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

14076452808 is a wasteful number, since it uses less digits than its factorization.

14076452808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 14076452808 in words is "fourteen billion, seventy-six million, four hundred fifty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1361 1451 1782 2376 2722 2902 3564 4083 4353 5444 5804 7128 8166 8706 10888 11608 12249 13059 14971 15961 16332 17412 24498 26118 29942 31922 32664 34824 36747 39177 44913 47883 48996 52236 59884 63844 73494 78354 89826 95766 97992 104472 110241 117531 119768 127688 134739 143649 146988 156708 179652 191532 220482 235062 269478 287298 293976 313416 359304 383064 404217 430947 440964 470124 538956 574596 808434 861894 881928 940248 1077912 1149192 1212651 1292841 1616868 1723788 1974811 2425302 2585682 3233736 3447576 3949622 4850604 5171364 5924433 7899244 9701208 10342728 11848866 15798488 17773299 21722921 23697732 35546598 43445842 47395464 53319897 65168763 71093196 86891684 106639794 130337526 142186392 159959691 173783368 195506289 213279588 260675052 319919382 391012578 426559176 521350104 586518867 639838764 782025156 1173037734 1279677528 1564050312 1759556601 2346075468 3519113202 4692150936 7038226404 14076452808