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2400244402271 is a prime number
BaseRepresentation
bin100010111011011001101…
…101110000100001011111
322111110110011022010211212
4202323121231300201133
5303311200031333041
65034353531335035
7335261202535112
oct42733155604137
98443404263755
102400244402271
11845a35433231
12329224bb147b
1314545a705231
148425b2b2579
15426810a18eb
hex22ed9b7085f

2400244402271 has 2 divisors, whose sum is σ = 2400244402272. Its totient is φ = 2400244402270.

The previous prime is 2400244402219. The next prime is 2400244402301. The reversal of 2400244402271 is 1722044420042.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2400244402271 - 26 = 2400244402207 is a prime.

It is a super-3 number, since 3×24002444022713 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400244402201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200122201135 + 1200122201136.

It is an arithmetic number, because the mean of its divisors is an integer number (1200122201136).

Almost surely, 22400244402271 is an apocalyptic number.

2400244402271 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400244402271 is an equidigital number, since it uses as much as digits as its factorization.

2400244402271 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28672, while the sum is 32.

The spelling of 2400244402271 in words is "two trillion, four hundred billion, two hundred forty-four million, four hundred two thousand, two hundred seventy-one".