Search a number
-
+
4456461381641 is a prime number
BaseRepresentation
bin100000011011001100111…
…0011000011000000001001
3120210000220110022102211222
41000312121303003000021
51041003313103203031
613251134201331425
7636653160510203
oct100663163030011
916700813272758
104456461381641
111468a7a2a7745
125bb837a96b75
1326431ca25929
141159a0023773
157adc961be7b
hex40d99cc3009

4456461381641 has 2 divisors, whose sum is σ = 4456461381642. Its totient is φ = 4456461381640.

The previous prime is 4456461381479. The next prime is 4456461381731. The reversal of 4456461381641 is 1461831646544.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2401195077241 + 2055266304400 = 1549579^2 + 1433620^2 .

It is a cyclic number.

It is not a de Polignac number, because 4456461381641 - 226 = 4456394272777 is a prime.

It is a super-2 number, since 2×44564613816412 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4456461381041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2228230690820 + 2228230690821.

It is an arithmetic number, because the mean of its divisors is an integer number (2228230690821).

Almost surely, 24456461381641 is an apocalyptic number.

It is an amenable number.

4456461381641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4456461381641 is an equidigital number, since it uses as much as digits as its factorization.

4456461381641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6635520, while the sum is 53.

The spelling of 4456461381641 in words is "four trillion, four hundred fifty-six billion, four hundred sixty-one million, three hundred eighty-one thousand, six hundred forty-one".