Search a number
-
+
3432204142120 = 235136600392581
BaseRepresentation
bin110001111100011111010…
…011110000011000101000
3110011010010012121120101101
4301330133103300120220
5422213123230021440
611144422142131144
7502653134564215
oct61743723603050
913133105546341
103432204142120
111103653840766
12475226280ab4
131bb86a085130
14bc19613cb0c
155e42d50069a
hex31f1f4f0628

3432204142120 has 32 divisors (see below), whose sum is σ = 8316494653320. Its totient is φ = 1267275375360.

The previous prime is 3432204142091. The next prime is 3432204142139. The reversal of 3432204142120 is 212414022343.

3432204142120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1293455839204 + 2138748302916 = 1137302^2 + 1462446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3300195771 + ... + 3300196810.

Almost surely, 23432204142120 is an apocalyptic number.

It is an amenable number.

3432204142120 is an abundant number, since it is smaller than the sum of its proper divisors (4884290511200).

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

3432204142120 is a wasteful number, since it uses less digits than its factorization.

3432204142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600392605 (or 6600392601 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3432204142120 its reverse (212414022343), we get a palindrome (3644618164463).

The spelling of 3432204142120 in words is "three trillion, four hundred thirty-two billion, two hundred four million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 6600392581 13200785162 26401570324 33001962905 52803140648 66003925810 85805103553 132007851620 171610207106 264015703240 343220414212 429025517765 686440828424 858051035530 1716102071060 3432204142120