Search a number
-
+
14372163540 = 223257219139617
BaseRepresentation
bin11010110001010010…
…11100111111010100
31101002121202112222100
431120221130333110
5213413233213130
610334045202100
71016104242300
oct153051347724
941077675870
1014372163540
116105791209
122951260330
1314807551a7
149a4ab2d00
15591b48c60
hex358a5cfd4

14372163540 has 432 divisors, whose sum is σ = 53853508800. Its totient is φ = 3084770304.

The previous prime is 14372163529. The next prime is 14372163581. The reversal of 14372163540 is 4536127341.

14372163540 is a `hidden beast` number, since 1 + 4 + 37 + 21 + 63 + 540 = 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 = 14372163495 and 14372163504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23293312 + ... + 23293928.

It is an arithmetic number, because the mean of its divisors is an integer number (124660900).

Almost surely, 214372163540 is an apocalyptic number.

14372163540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14372163540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26926754400).

14372163540 is an abundant number, since it is smaller than the sum of its proper divisors (39481345260).

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

14372163540 is a wasteful number, since it uses less digits than its factorization.

14372163540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 14372163540 in words is "fourteen billion, three hundred seventy-two million, one hundred sixty-three thousand, five hundred forty".