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4432314132 = 2232475574703
BaseRepresentation
bin1000010000010111…
…11011111100010100
3102102220011212221200
410020023323330110
533034133023012
62011451512500
7214560022431
oct41013737424
912386155850
104432314132
111974a20234
12a38458730
135583683ac
1430092ab88
151ae1bd3dc
hex1082fbf14

4432314132 has 72 divisors (see below), whose sum is σ = 11465266176. Its totient is φ = 1443100224.

The previous prime is 4432314127. The next prime is 4432314163. The reversal of 4432314132 is 2314132344.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4432314096 and 4432314105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940093 + ... + 944795.

It is an arithmetic number, because the mean of its divisors is an integer number (159239808).

Almost surely, 24432314132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4432314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732633088).

4432314132 is an abundant number, since it is smaller than the sum of its proper divisors (7032952044).

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

4432314132 is a wasteful number, since it uses less digits than its factorization.

4432314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5312 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4432314132 is about 66575.6271618976. The cubic root of 4432314132 is about 1642.6442238334.

Adding to 4432314132 its reverse (2314132344), we get a palindrome (6746446476).

The spelling of 4432314132 in words is "four billion, four hundred thirty-two million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 557 564 846 1114 1671 1692 2228 3342 4703 5013 6684 9406 10026 14109 18812 20052 26179 28218 42327 52358 56436 78537 84654 104716 157074 169308 221041 235611 314148 442082 471222 663123 884164 942444 1326246 1989369 2619571 2652492 3978738 5239142 7858713 7957476 10478284 15717426 23576139 31434852 47152278 94304556 123119837 246239674 369359511 492479348 738719022 1108078533 1477438044 2216157066 4432314132