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14320113000 = 2335329164599
BaseRepresentation
bin11010101011000101…
…11001010101101000
31100221222211010001120
431111202321111220
5213311422104000
610324545415240
71014602644404
oct152542712550
940858733046
1014320113000
11608936a936
12293793a520
131472a2c65b
1499bc04104
1558c2b66a0
hex3558b9568

14320113000 has 128 divisors (see below), whose sum is σ = 46219680000. Its totient is φ = 3686995200.

The previous prime is 14320112957. The next prime is 14320113019. The reversal of 14320113000 is 31102341.

14320113000 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 (15).

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, 4701 + ... + 169299.

It is an arithmetic number, because the mean of its divisors is an integer number (361091250).

Almost surely, 214320113000 is an apocalyptic number.

14320113000 is a gapful number since it is divisible by the number (10) 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 14320113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109840000).

14320113000 is an abundant number, since it is smaller than the sum of its proper divisors (31899567000).

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

14320113000 is a wasteful number, since it uses less digits than its factorization.

14320113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164652 (or 164638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 14320113000 its reverse (31102341), we get a palindrome (14351215341).

The spelling of 14320113000 in words is "fourteen billion, three hundred twenty million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 164599 329198 493797 658396 822995 987594 1316792 1645990 1975188 2468985 3291980 3950376 4114975 4773371 4937970 6583960 8229950 9546742 9875940 12344925 14320113 16459900 19093484 19751880 20574875 23866855 24689850 28640226 32919800 38186968 41149750 47733710 49379700 57280452 61724625 71600565 82299500 95467420 98759400 114560904 119334275 123449250 143201130 164599000 190934840 238668550 246898500 286402260 358002825 477337100 493797000 572804520 596671375 716005650 954674200 1193342750 1432011300 1790014125 2386685500 2864022600 3580028250 4773371000 7160056500 14320113000