Search a number
-
+
131142130402144 = 2517241070092651
BaseRepresentation
bin11101110100010111101000…
…000110010000001101100000
3122012100001202112212020100011
4131310113220012100031200
5114142113040340332034
61142525510224134304
736423464150016001
oct3564275006201540
9565301675766304
10131142130402144
113887107981a994
1212860282167394
13582385a8b68a4
142455454b551a8
151026493aa1864
hex7745e8190360

131142130402144 has 24 divisors (see below), whose sum is σ = 273373485067368. Its totient is φ = 61713943718400.

The previous prime is 131142130402121. The next prime is 131142130402147. The reversal of 131142130402144 is 441204031241131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142130402147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120535045782 + ... + 120535046869.

It is an arithmetic number, because the mean of its divisors is an integer number (11390561877807).

Almost surely, 2131142130402144 is an apocalyptic number.

It is an amenable number.

131142130402144 is an abundant number, since it is smaller than the sum of its proper divisors (142231354665224).

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

131142130402144 is a wasteful number, since it uses less digits than its factorization.

131142130402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241070092678 (or 241070092670 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 131142130402144 its reverse (441204031241131), we get a palindrome (572346161643275).

The spelling of 131142130402144 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred thirty million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 241070092651 482140185302 964280370604 1928560741208 3857121482416 4098191575067 7714242964832 8196383150134 16392766300268 32785532600536 65571065201072 131142130402144