Search a number
-
+
244097410657813 is a prime number
BaseRepresentation
bin110111100000000101011011…
…011100111110111000010101
31012000021111002020120220100021
4313200011123130332320111
5223443242444112022223
62223052445152145141
7102262312250331406
oct6740053334767025
91160244066526307
10244097410657813
1170860148789a69
1223463868b381b1
13a62839688095b
14443c5406339ad
151d348019c865d
hexde015b73ee15

244097410657813 has 2 divisors, whose sum is σ = 244097410657814. Its totient is φ = 244097410657812.

The previous prime is 244097410657757. The next prime is 244097410657843. The reversal of 244097410657813 is 318756014790442.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129774975501924 + 114322435155889 = 11391882^2 + 10692167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-244097410657813 is a prime.

It is a super-2 number, since 2×2440974106578132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (244097410657843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122048705328906 + 122048705328907.

It is an arithmetic number, because the mean of its divisors is an integer number (122048705328907).

It is a 1-persistent number, because it is pandigital, but 2⋅244097410657813 = 488194821315626 is not.

Almost surely, 2244097410657813 is an apocalyptic number.

It is an amenable number.

244097410657813 is a deficient number, since it is larger than the sum of its proper divisors (1).

244097410657813 is an equidigital number, since it uses as much as digits as its factorization.

244097410657813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 244097410657813 in words is "two hundred forty-four trillion, ninety-seven billion, four hundred ten million, six hundred fifty-seven thousand, eight hundred thirteen".