Search a number
-
+
14000232132 = 22364801177
BaseRepresentation
bin11010000100111101…
…01001011011000100
31100010200220111000000
431002132221123010
5212133024412012
610233121321300
71003640003205
oct150236513304
940120814000
1014000232132
115a34847687
122868796230
131421690733
1496b5375ac
1556e17bddc
hex3427a96c4

14000232132 has 42 divisors (see below), whose sum is σ = 36733812878. Its totient is φ = 4666743072.

The previous prime is 14000232091. The next prime is 14000232133. The reversal of 14000232132 is 23123200041.

14000232132 is a `hidden beast` number, since 1 + 400 + 0 + 232 + 1 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12567306816 + 1432925316 = 112104^2 + 37854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14000232133) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2397673 + ... + 2403504.

Almost surely, 214000232132 is an apocalyptic number.

14000232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14000232132 is an abundant number, since it is smaller than the sum of its proper divisors (22733580746).

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

14000232132 is an equidigital number, since it uses as much as digits as its factorization.

14000232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801199 (or 4801182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14000232132 its reverse (23123200041), we get a palindrome (37123432173).

The spelling of 14000232132 in words is "fourteen billion, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4801177 9602354 14403531 19204708 28807062 43210593 57614124 86421186 129631779 172842372 259263558 388895337 518527116 777790674 1166686011 1555581348 2333372022 3500058033 4666744044 7000116066 14000232132