Search a number
-
+
14400978180 = 22351912632437
BaseRepresentation
bin11010110100101110…
…10111110100000100
31101011121222111020020
431122113113310010
5213443122300210
610340554535140
71016604203061
oct153227276404
941147874206
1014400978180
11611aa82066
12295aa374b0
131486703784
149a8853c68
1559443b770
hex35a5d7d04

14400978180 has 48 divisors (see below), whose sum is σ = 42444991680. Its totient is φ = 3638141568.

The previous prime is 14400978169. The next prime is 14400978181. The reversal of 14400978180 is 8187900441.

It is a super-2 number, since 2×144009781802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14400978181) 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, 6315079 + ... + 6317358.

It is an arithmetic number, because the mean of its divisors is an integer number (884270660).

Almost surely, 214400978180 is an apocalyptic number.

14400978180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14400978180 is an abundant number, since it is smaller than the sum of its proper divisors (28044013500).

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

14400978180 is a wasteful number, since it uses less digits than its factorization.

14400978180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12632468 (or 12632466 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 14400978180 in words is "fourteen billion, four hundred million, nine hundred seventy-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 12632437 25264874 37897311 50529748 63162185 75794622 126324370 151589244 189486555 240016303 252648740 378973110 480032606 720048909 757946220 960065212 1200081515 1440097818 2400163030 2880195636 3600244545 4800326060 7200489090 14400978180