Search a number
-
+
14052432132 = 2232677576581
BaseRepresentation
bin11010001011001011…
…10001100100000100
31100021100010111221100
431011211301210010
5212234410312012
610242224220100
71005142462614
oct150545614404
940240114840
1014052432132
115a61260282
12288216a630
13142c4392cb
14974444a44
15573a3d8dc
hex345971904

14052432132 has 36 divisors (see below), whose sum is σ = 35573956236. Its totient is φ = 4677216960.

The previous prime is 14052432047. The next prime is 14052432133. The reversal of 14052432132 is 23123425041.

14052432132 is a `hidden beast` number, since 1 + 4 + 0 + 524 + 3 + 2 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12684615876 + 1367816256 = 112626^2 + 36984^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 14052432096 and 14052432105.

It is not an unprimeable number, because it can be changed into a prime (14052432133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263919 + ... + 312662.

It is an arithmetic number, because the mean of its divisors is an integer number (988165451).

Almost surely, 214052432132 is an apocalyptic number.

14052432132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14052432132 is an abundant number, since it is smaller than the sum of its proper divisors (21521524104).

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

14052432132 is a wasteful number, since it uses less digits than its factorization.

14052432132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577268 (or 577263 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14052432132 its reverse (23123425041), we get a palindrome (37175857173).

The spelling of 14052432132 in words is "fourteen billion, fifty-two million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 677 1354 2031 2708 4062 6093 8124 12186 24372 576581 1153162 1729743 2306324 3459486 5189229 6918972 10378458 20756916 390345337 780690674 1171036011 1561381348 2342072022 3513108033 4684144044 7026216066 14052432132