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131413340430432 = 2532456296320939
BaseRepresentation
bin11101111000010100001101…
…011110011010000001100000
3122020021222210122101011110200
4131320110031132122001200
5114211034010122233212
61143254242152225200
736452205040145634
oct3570241536320140
9566258718334420
10131413340430432
11389660a2809335
12128a495199b200
1358432bcc46278
14246462242cdc4
15102d5689a36dc
hex77850d79a060

131413340430432 has 36 divisors (see below), whose sum is σ = 373706686849860. Its totient is φ = 43804446810048.

The previous prime is 131413340430403. The next prime is 131413340430503. The reversal of 131413340430432 is 234034043314131.

131413340430432 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 3 + 340 + 4 + 304 + 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 2×1314133404304322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228148160182 + ... + 228148160757.

It is an arithmetic number, because the mean of its divisors is an integer number (10380741301385).

Almost surely, 2131413340430432 is an apocalyptic number.

131413340430432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131413340430432 is an abundant number, since it is smaller than the sum of its proper divisors (242293346419428).

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

131413340430432 is a wasteful number, since it uses less digits than its factorization.

131413340430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456296320955 (or 456296320944 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 131413340430432 its reverse (234034043314131), we get a palindrome (365447383744563).

The spelling of 131413340430432 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred forty million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 456296320939 912592641878 1368888962817 1825185283756 2737777925634 3650370567512 4106666888451 5475555851268 7300741135024 8213333776902 10951111702536 14601482270048 16426667553804 21902223405072 32853335107608 43804446810144 65706670215216 131413340430432