Search a number
-
+
14061543336 = 23321759319373
BaseRepresentation
bin11010001100010001…
…00001111110101000
31100021222021102011100
431012020201332220
5212244223341321
610243151401400
71005313101111
oct150610417650
940258242140
1014061543336
115a664136a5
122885223260
1314312a9459
14975737208
1557473d326
hex346221fa8

14061543336 has 96 divisors (see below), whose sum is σ = 40393627560. Its totient is φ = 4403798016.

The previous prime is 14061543329. The next prime is 14061543361. The reversal of 14061543336 is 63334516041.

14061543336 is a `hidden beast` number, since 1 + 4 + 0 + 615 + 4 + 3 + 3 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12860920836 + 1200622500 = 113406^2 + 34650^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 14061543336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716146 + ... + 735518.

Almost surely, 214061543336 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 14061543336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196813780).

14061543336 is an abundant number, since it is smaller than the sum of its proper divisors (26332084224).

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

14061543336 is a wasteful number, since it uses less digits than its factorization.

14061543336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19995 (or 19988 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 14061543336 in words is "fourteen billion, sixty-one million, five hundred forty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 593 612 1186 1224 1779 2372 3558 4744 5337 7116 10081 10674 14232 19373 20162 21348 30243 38746 40324 42696 58119 60486 77492 80648 90729 116238 120972 154984 174357 181458 232476 241944 329341 348714 362916 464952 658682 697428 725832 988023 1317364 1394856 1976046 2634728 2964069 3952092 5928138 7904184 11488189 11856276 22976378 23712552 34464567 45952756 68929134 91905512 103393701 137858268 195299213 206787402 275716536 390598426 413574804 585897639 781196852 827149608 1171795278 1562393704 1757692917 2343590556 3515385834 4687181112 7030771668 14061543336