Search a number
-
+
14225107392 = 263231796657
BaseRepresentation
bin11010011111110000…
…11110100111000000
31100201101001022212100
431033320132213000
5213113111414032
610311313230400
71012340263206
oct151770364700
940641038770
1014225107392
11603a77a801
12290bb62400
131459147212
1498d353076
15583c9b97c
hex34fe1e9c0

14225107392 has 84 divisors (see below), whose sum is σ = 42089035456. Its totient is φ = 4588738560.

The previous prime is 14225107343. The next prime is 14225107427. The reversal of 14225107392 is 29370152241.

14225107392 is a `hidden beast` number, since 14 + 2 + 251 + 0 + 7 + 392 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380473 + ... + 416184.

Almost surely, 214225107392 is an apocalyptic number.

14225107392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14225107392 is an abundant number, since it is smaller than the sum of its proper divisors (27863928064).

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

14225107392 is a wasteful number, since it uses less digits than its factorization.

14225107392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796706 (or 796693 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 14225107392 in words is "fourteen billion, two hundred twenty-five million, one hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 796657 1593314 2389971 3186628 4779942 6373256 7169913 9559884 12746512 14339826 19119768 24696367 25493024 28679652 38239536 49392734 50986048 57359304 74089101 76479072 98785468 114718608 148178202 152958144 197570936 222267303 229437216 296356404 395141872 444534606 458874432 592712808 790283744 889069212 1185425616 1580567488 1778138424 2370851232 3556276848 4741702464 7112553696 14225107392