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332414130132 = 223271319103691
BaseRepresentation
bin1001101011001010110…
…11010001011111010100
31011210000111211110002100
410311211123101133110
520421241004131012
6412413044242100
733005350325430
oct4654533213724
91153014743070
10332414130132
11118a81123aa7
12545109a0330
13254673b9076
14121360479c0
1589a82008dc
hex4d656d17d4

332414130132 has 36 divisors (see below), whose sum is σ = 960307487776. Its totient is φ = 94975465680.

The previous prime is 332414130131. The next prime is 332414130157. The reversal of 332414130132 is 231031414233.

It is a happy number.

332414130132 is a `hidden beast` number, since 3 + 3 + 241 + 413 + 0 + 1 + 3 + 2 = 666.

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

It is a super-2 number, since 2×3324141301322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332414130096 and 332414130105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332414130131) 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, 659551594 + ... + 659552097.

Almost surely, 2332414130132 is an apocalyptic number.

It is an amenable number.

332414130132 is an abundant number, since it is smaller than the sum of its proper divisors (627893357644).

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

332414130132 is a wasteful number, since it uses less digits than its factorization.

332414130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319103708 (or 1319103703 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 332414130132 its reverse (231031414233), we get a palindrome (563445544365).

The spelling of 332414130132 in words is "three hundred thirty-two billion, four hundred fourteen million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1319103691 2638207382 3957311073 5276414764 7914622146 9233725837 11871933219 15829244292 18467451674 23743866438 27701177511 36934903348 47487732876 55402355022 83103532533 110804710044 166207065066 332414130132