Search a number
-
+
144310002139993 is a prime number
BaseRepresentation
bin100000110011111111001010…
…011010100100001101011001
3200220221220100011122121220211
4200303333022122210031121
5122403333341021434433
61230531033314451121
742253024245021544
oct4063771232441531
9626856304577824
10144310002139993
1141a8858a065a08
12142282b3893aa1
13626a4b45c4261
14278c8d9ccb85b
1511a3c7acd78cd
hex833fca6a4359

144310002139993 has 2 divisors, whose sum is σ = 144310002139994. Its totient is φ = 144310002139992.

The previous prime is 144310002139991. The next prime is 144310002140137. The reversal of 144310002139993 is 399931200013441.

144310002139993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127689932200009 + 16620069939984 = 11299997^2 + 4076772^2 .

It is a cyclic number.

It is not a de Polignac number, because 144310002139993 - 21 = 144310002139991 is a prime.

Together with 144310002139991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (144310002139991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72155001069996 + 72155001069997.

It is an arithmetic number, because the mean of its divisors is an integer number (72155001069997).

Almost surely, 2144310002139993 is an apocalyptic number.

It is an amenable number.

144310002139993 is a deficient number, since it is larger than the sum of its proper divisors (1).

144310002139993 is an equidigital number, since it uses as much as digits as its factorization.

144310002139993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 629856, while the sum is 49.

The spelling of 144310002139993 in words is "one hundred forty-four trillion, three hundred ten billion, two million, one hundred thirty-nine thousand, nine hundred ninety-three".