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313054644141 = 32291736933197
BaseRepresentation
bin1001000111000111000…
…00101100011110101101
31002221001022112122212200
410203203200230132231
520112113442103031
6355452035252113
731421533366341
oct4434340543655
91087038478780
10313054644141
111108472046a8
125080944a039
13236a0623805
141121ac53621
1582238068e6
hex48e382c7ad

313054644141 has 24 divisors (see below), whose sum is σ = 470486816280. Its totient is φ = 200341631616.

The previous prime is 313054644127. The next prime is 313054644143. The reversal of 313054644141 is 141446450313.

313054644141 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 5 + 4 + 644 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96988644900 + 216065999241 = 311430^2 + 464829^2 .

It is not a de Polignac number, because 313054644141 - 214 = 313054627757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313054644096 and 313054644105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313054644143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3421446 + ... + 3511751.

It is an arithmetic number, because the mean of its divisors is an integer number (19603617345).

Almost surely, 2313054644141 is an apocalyptic number.

It is an amenable number.

313054644141 is a deficient number, since it is larger than the sum of its proper divisors (157432172139).

313054644141 is a wasteful number, since it uses less digits than its factorization.

313054644141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933405 (or 6933402 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 313054644141 in words is "three hundred thirteen billion, fifty-four million, six hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 29 87 173 261 519 1557 5017 15051 45153 6933197 20799591 62398773 201062713 603188139 1199443081 1809564417 3598329243 10794987729 34783849349 104351548047 313054644141