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2405314144229 is a prime number
BaseRepresentation
bin100011000000000111111…
…001010010011111100101
322111221112110220201101112
4203000013321102133211
5303402040410103404
65040552553434405
7335530632612653
oct43000771223745
98457473821345
102405314144229
118480a7145417
1232a1baa0ba05
13145a87b42049
14845bc729dd3
154287b1d256e
hex23007e527e5

2405314144229 has 2 divisors, whose sum is σ = 2405314144230. Its totient is φ = 2405314144228.

The previous prime is 2405314144183. The next prime is 2405314144231. The reversal of 2405314144229 is 9224414135042.

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., 2212924008100 + 192390136129 = 1487590^2 + 438623^2 .

It is a cyclic number.

It is not a de Polignac number, because 2405314144229 - 212 = 2405314140133 is a prime.

It is a super-2 number, since 2×24053141442292 (a number of 26 digits) contains 22 as substring.

Together with 2405314144231, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2405314143229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1202657072114 + 1202657072115.

It is an arithmetic number, because the mean of its divisors is an integer number (1202657072115).

Almost surely, 22405314144229 is an apocalyptic number.

It is an amenable number.

2405314144229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2405314144229 is an equidigital number, since it uses as much as digits as its factorization.

2405314144229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 2405314144229 in words is "two trillion, four hundred five billion, three hundred fourteen million, one hundred forty-four thousand, two hundred twenty-nine".