Search a number
-
+
310144042413 = 32353794912281
BaseRepresentation
bin1001000001101100000…
…01101000010110101101
31002122112110201202220200
410200312001220112231
520040133333324123
6354251143104113
731256441602122
oct4406601502655
91078473652820
10310144042413
1110a593254527
1250136742039
132332861037a
141102247c749
158103021143
hex48360685ad

310144042413 has 24 divisors (see below), whose sum is σ = 449348023800. Its totient is φ = 206134241280.

The previous prime is 310144042381. The next prime is 310144042447. The reversal of 310144042413 is 314240441013.

310144042413 is a `hidden beast` number, since 3 + 1 + 0 + 14 + 404 + 241 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83647051524 + 226496990889 = 289218^2 + 475917^2 .

It is not a de Polignac number, because 310144042413 - 25 = 310144042381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310144042613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25247833 + ... + 25260113.

It is an arithmetic number, because the mean of its divisors is an integer number (18722834325).

Almost surely, 2310144042413 is an apocalyptic number.

It is an amenable number.

310144042413 is a deficient number, since it is larger than the sum of its proper divisors (139203981387).

310144042413 is a wasteful number, since it uses less digits than its factorization.

310144042413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20589 (or 20586 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 310144042413 its reverse (314240441013), we get a palindrome (624384483426).

The spelling of 310144042413 in words is "three hundred ten billion, one hundred forty-four million, forty-two thousand, four hundred thirteen".

Divisors: 1 3 9 353 1059 3177 7949 12281 23847 36843 71541 110529 2805997 4335193 8417991 13005579 25253973 39016737 97621669 292865007 878595021 34460449157 103381347471 310144042413