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2414144261 is a prime number
BaseRepresentation
bin1000111111100100…
…1110101100000101
320020020122020100102
42033321032230011
514421010104021
61035315253445
7113552613314
oct21771165405
96206566312
102414144261
1110297a3351
125745aa285
132c61cb939
1418c8a227b
15e1e1c00b
hex8fe4eb05

2414144261 has 2 divisors, whose sum is σ = 2414144262. Its totient is φ = 2414144260.

The previous prime is 2414144233. The next prime is 2414144269. The reversal of 2414144261 is 1624414142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2341979236 + 72165025 = 48394^2 + 8495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2414144261 is a prime.

It is a super-2 number, since 2×24141442612 = 11656185025838472242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2414144269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1207072130 + 1207072131.

It is an arithmetic number, because the mean of its divisors is an integer number (1207072131).

Almost surely, 22414144261 is an apocalyptic number.

It is an amenable number.

2414144261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414144261 is an equidigital number, since it uses as much as digits as its factorization.

2414144261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6144, while the sum is 29.

The square root of 2414144261 is about 49133.9420462067. The cubic root of 2414144261 is about 1341.4909262983.

The spelling of 2414144261 in words is "two billion, four hundred fourteen million, one hundred forty-four thousand, two hundred sixty-one".