Search a number
-
+
621418041294313 is a prime number
BaseRepresentation
bin1000110101001011010010100…
…1100110111011110111101001
310000111020222120202020012000111
42031102310221212323313221
51122422303122032404223
610041351301312534321
7244614654235362604
oct21522645146736751
93014228522205014
10621418041294313
11170003a02a8075a
1259842b908513a1
13208986153557b3
14ad64b17bd133b
154bc9798ec730d
hex2352d299bbde9

621418041294313 has 2 divisors, whose sum is σ = 621418041294314. Its totient is φ = 621418041294312.

The previous prime is 621418041294257. The next prime is 621418041294331. The reversal of 621418041294313 is 313492140814126.

Together with next prime (621418041294331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 618322581084649 + 3095460209664 = 24866093^2 + 1759392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-621418041294313 is a prime.

It is a super-2 number, since 2×6214180412943132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (621418041994313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 310709020647156 + 310709020647157.

It is an arithmetic number, because the mean of its divisors is an integer number (310709020647157).

Almost surely, 2621418041294313 is an apocalyptic number.

It is an amenable number.

621418041294313 is a deficient number, since it is larger than the sum of its proper divisors (1).

621418041294313 is an equidigital number, since it uses as much as digits as its factorization.

621418041294313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 621418041294313 in words is "six hundred twenty-one trillion, four hundred eighteen billion, forty-one million, two hundred ninety-four thousand, three hundred thirteen".