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131411433204 = 223211969304981
BaseRepresentation
bin111101001100010111…
…0110101011011110100
3110120012021210110222200
41322120232311123310
54123112311330304
6140211455024500
712331332515652
oct1723056653364
9416167713880
10131411433204
1150805367857
122157550b130
13c5134272cc
146508b15dd2
153641c15e39
hex1e98bb56f4

131411433204 has 36 divisors (see below), whose sum is σ = 332207743140. Its totient is φ = 43800007680.

The previous prime is 131411433203. The next prime is 131411433217. The reversal of 131411433204 is 402334114131.

131411433204 is a `hidden beast` number, since 1 + 3 + 1 + 411 + 43 + 3 + 204 = 666.

131411433204 is digitally balanced in base 3, 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 2 ways, for example, as 2953705104 + 128457728100 = 54348^2 + 358410^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131411433203) 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, 278394 + ... + 583374.

It is an arithmetic number, because the mean of its divisors is an integer number (9227992865).

Almost surely, 2131411433204 is an apocalyptic number.

It is an amenable number.

131411433204 is an abundant number, since it is smaller than the sum of its proper divisors (200796309936).

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

131411433204 is a wasteful number, since it uses less digits than its factorization.

131411433204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316960 (or 316955 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131411433204 its reverse (402334114131), we get a palindrome (533745547335).

The spelling of 131411433204 in words is "one hundred thirty-one billion, four hundred eleven million, four hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 11969 23938 35907 47876 71814 107721 143628 215442 304981 430884 609962 914943 1219924 1829886 2744829 3659772 5489658 10979316 3650317589 7300635178 10950952767 14601270356 21901905534 32852858301 43803811068 65705716602 131411433204