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2640144141841 is a prime number
BaseRepresentation
bin100110011010110100110…
…110101000111000010001
3100100101200011222121101111
4212122310312220320101
5321224003400014331
65340510535333321
7361513142634343
oct46326466507021
910311604877344
102640144141841
119287515a3308
12367816b21241
13161c700a175b
1491ad8503293
1548a22305db1
hex266b4da8e11

2640144141841 has 2 divisors, whose sum is σ = 2640144141842. Its totient is φ = 2640144141840.

The previous prime is 2640144141743. The next prime is 2640144141857. The reversal of 2640144141841 is 1481414410462.

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., 2631208410000 + 8935731841 = 1622100^2 + 94529^2 .

It is a cyclic number.

It is not a de Polignac number, because 2640144141841 - 211 = 2640144139793 is a prime.

It is a super-2 number, since 2×26401441418412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2640144141794 and 2640144141803.

It is not a weakly prime, because it can be changed into another prime (2640144141871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1320072070920 + 1320072070921.

It is an arithmetic number, because the mean of its divisors is an integer number (1320072070921).

Almost surely, 22640144141841 is an apocalyptic number.

It is an amenable number.

2640144141841 is a deficient number, since it is larger than the sum of its proper divisors (1).

2640144141841 is an equidigital number, since it uses as much as digits as its factorization.

2640144141841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 2640144141841 in words is "two trillion, six hundred forty billion, one hundred forty-four million, one hundred forty-one thousand, eight hundred forty-one".