Search a number
-
+
14020923264 = 273173758049
BaseRepresentation
bin11010000111011011…
…00100111110000000
31100012010211200220020
431003231210332000
5212203324021024
610235141013440
71004310611205
oct150355447600
940163750806
1014020923264
115a4549a197
1228736b4280
131425a565ca
149701a1cac
15570db7979
hex343b64f80

14020923264 has 128 divisors (see below), whose sum is σ = 40500324000. Its totient is φ = 4279762944.

The previous prime is 14020923263. The next prime is 14020923331. The reversal of 14020923264 is 46232902041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14020923263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212512 + ... + 270560.

Almost surely, 214020923264 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 14020923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20250162000).

14020923264 is an abundant number, since it is smaller than the sum of its proper divisors (26479400736).

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

14020923264 is a wasteful number, since it uses less digits than its factorization.

14020923264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58120 (or 58108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 14020923264 in words is "fourteen billion, twenty million, nine hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 272 296 384 408 444 544 592 629 816 888 1088 1184 1258 1632 1776 1887 2176 2368 2516 3264 3552 3774 4736 5032 6528 7104 7548 10064 14208 15096 20128 30192 40256 58049 60384 80512 116098 120768 174147 232196 241536 348294 464392 696588 928784 986833 1393176 1857568 1973666 2147813 2786352 2960499 3715136 3947332 4295626 5572704 5920998 6443439 7430272 7894664 8591252 11145408 11841996 12886878 15789328 17182504 22290816 23683992 25773756 31578656 34365008 36512821 47367984 51547512 63157312 68730016 73025642 94735968 103095024 109538463 126314624 137460032 146051284 189471936 206190048 219076926 274920064 292102568 378943872 412380096 438153852 584205136 824760192 876307704 1168410272 1752615408 2336820544 3505230816 4673641088 7010461632 14020923264