Search a number
-
+
14645875440 = 243578717783
BaseRepresentation
bin11011010001111011…
…00101001011110000
31101210200210120010010
431220331211023300
5214443321003230
610421143534520
71025636613210
oct155075451360
941720716103
1014645875440
11623623aa99
122a08a5a440
1314c537a6b1
149cd1a2240
155aabb39b0
hex368f652f0

14645875440 has 80 divisors (see below), whose sum is σ = 51888250368. Its totient is φ = 3347628288.

The previous prime is 14645875429. The next prime is 14645875441. The reversal of 14645875440 is 4457854641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14645875440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14645875441) 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, 4357212 + ... + 4360571.

Almost surely, 214645875440 is an apocalyptic number.

14645875440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14645875440 is an abundant number, since it is smaller than the sum of its proper divisors (37242374928).

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

14645875440 is a wasteful number, since it uses less digits than its factorization.

14645875440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8717806 (or 8717800 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 14645875440 in words is "fourteen billion, six hundred forty-five million, eight hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 8717783 17435566 26153349 34871132 43588915 52306698 61024481 69742264 87177830 104613396 122048962 130766745 139484528 174355660 183073443 209226792 244097924 261533490 305122405 348711320 366146886 418453584 488195848 523066980 610244810 697422640 732293772 915367215 976391696 1046133960 1220489620 1464587544 1830734430 2092267920 2440979240 2929175088 3661468860 4881958480 7322937720 14645875440