Search a number
-
+
14036611644 = 223211313173607
BaseRepresentation
bin11010001001010010…
…11011001000111100
31100020020100202022100
431010221123020330
5212221333033034
610240501145100
71004561142006
oct150451331074
940206322270
1014036611644
115a533350a0
1228789bb190
13142908a383
149722c7376
15572466099
hex344a5b23c

14036611644 has 144 divisors (see below), whose sum is σ = 40092788736. Its totient is φ = 4102185600.

The previous prime is 14036611579. The next prime is 14036611651. The reversal of 14036611644 is 44611663041.

14036611644 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 6 + 6 + 1 + 1 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14036611599 and 14036611608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3889689 + ... + 3893295.

It is an arithmetic number, because the mean of its divisors is an integer number (278422144).

Almost surely, 214036611644 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 14036611644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046394368).

14036611644 is an abundant number, since it is smaller than the sum of its proper divisors (26056177092).

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

14036611644 is a wasteful number, since it uses less digits than its factorization.

14036611644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14036611644 in words is "fourteen billion, thirty-six million, six hundred eleven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 317 341 372 396 558 634 682 951 1023 1116 1268 1364 1902 2046 2853 3069 3487 3607 3804 4092 5706 6138 6974 7214 9827 10461 10821 11412 12276 13948 14428 19654 20922 21642 29481 31383 32463 39308 39677 41844 43284 58962 62766 64926 79354 88443 108097 111817 117924 119031 125532 129852 158708 176886 216194 223634 238062 324291 335451 353772 357093 432388 447268 476124 648582 670902 714186 972873 1006353 1143419 1229987 1297164 1341804 1428372 1945746 2012706 2286838 2459974 3430257 3689961 3891492 4025412 4573676 4919948 6860514 7379922 10290771 11069883 12577609 13721028 14759844 20581542 22139766 25155218 35445989 37732827 41163084 44279532 50310436 70891978 75465654 106337967 113198481 141783956 150931308 212675934 226396962 319013901 389905879 425351868 452793924 638027802 779811758 1169717637 1276055604 1559623516 2339435274 3509152911 4678870548 7018305822 14036611644