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14179240608 = 2531325914813
BaseRepresentation
bin11010011010010011…
…00000101010100000
31100121011202001110120
431031021200222200
5213014341144413
610302554200240
71011242361621
oct151511405240
940534661416
1014179240608
1160168a2375
1228b8723080
13144c7a8200
14987213a48
1557ec3b723
hex34d260aa0

14179240608 has 144 divisors (see below), whose sum is σ = 40989745440. Its totient is φ = 4288607232.

The previous prime is 14179240577. The next prime is 14179240627. The reversal of 14179240608 is 80604297141.

It is a self number, because there is not a number n which added to its sum of digits gives 14179240608.

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 23 ways as a sum of consecutive naturals, for example, 949810 + ... + 964622.

It is an arithmetic number, because the mean of its divisors is an integer number (284651010).

Almost surely, 214179240608 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 14179240608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494872720).

14179240608 is an abundant number, since it is smaller than the sum of its proper divisors (26810504832).

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

14179240608 is a wasteful number, since it uses less digits than its factorization.

14179240608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14911 (or 14890 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 14179240608 in words is "fourteen billion, one hundred seventy-nine million, two hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 169 177 208 236 312 338 354 416 472 507 624 676 708 767 944 1014 1248 1352 1416 1534 1888 2028 2301 2704 2832 3068 4056 4602 5408 5664 6136 8112 9204 9971 12272 14813 16224 18408 19942 24544 29626 29913 36816 39884 44439 59252 59826 73632 79768 88878 118504 119652 159536 177756 192569 237008 239304 319072 355512 385138 474016 478608 577707 711024 770276 873967 957216 1155414 1422048 1540552 1747934 2310828 2503397 2621901 3081104 3495868 4621656 5006794 5243802 6162208 6991736 7510191 9243312 10013588 10487604 11361571 13983472 15020382 18486624 20027176 20975208 22723142 27966944 30040764 34084713 40054352 41950416 45446284 60081528 68169426 80108704 83900832 90892568 120163056 136338852 147700423 181785136 240326112 272677704 295400846 363570272 443101269 545355408 590801692 886202538 1090710816 1181603384 1772405076 2363206768 3544810152 4726413536 7089620304 14179240608