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2244015322441 is a prime number
BaseRepresentation
bin100000101001111001101…
…111000111010101001001
321221112012021201120211221
4200221321233013111021
5243231220410304231
64434515244122041
7321060535344214
oct40517157072511
97845167646757
102244015322441
1179575516a222
12302aa4236321
131337c0790829
147a87a52077b
153d58a6d8d11
hex20a79bc7549

2244015322441 has 2 divisors, whose sum is σ = 2244015322442. Its totient is φ = 2244015322440.

The previous prime is 2244015322427. The next prime is 2244015322447. The reversal of 2244015322441 is 1442235104422.

2244015322441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2100238608400 + 143776714041 = 1449220^2 + 379179^2 .

It is a cyclic number.

It is not a de Polignac number, because 2244015322441 - 27 = 2244015322313 is a prime.

It is a super-4 number, since 4×22440153224414 (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2244015322397 and 2244015322406.

It is not a weakly prime, because it can be changed into another prime (2244015322447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1122007661220 + 1122007661221.

It is an arithmetic number, because the mean of its divisors is an integer number (1122007661221).

Almost surely, 22244015322441 is an apocalyptic number.

It is an amenable number.

2244015322441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2244015322441 is an equidigital number, since it uses as much as digits as its factorization.

2244015322441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 2244015322441 in words is "two trillion, two hundred forty-four billion, fifteen million, three hundred twenty-two thousand, four hundred forty-one".