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44014251260033 is a prime number
BaseRepresentation
bin10100000000111110111011…
…10011111011100010000001
312202211201110211212201210022
422000133131303323202001
521232112141310310113
6233335511244143225
712161632114545665
oct1200373563734201
9182751424781708
1044014251260033
111302a38042929a
124b2a30b837b15
131b736aba66132
14ac24304188a5
15514da1ddc908
hex2807ddcfb881

44014251260033 has 2 divisors, whose sum is σ = 44014251260034. Its totient is φ = 44014251260032.

The previous prime is 44014251259999. The next prime is 44014251260053. The reversal of 44014251260033 is 33006215241044.

44014251260033 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., 42112091720689 + 1902159539344 = 6489383^2 + 1379188^2 .

It is a cyclic number.

It is not a de Polignac number, because 44014251260033 - 220 = 44014250211457 is a prime.

It is a super-2 number, since 2×440142512600332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44014251259975 and 44014251260002.

It is not a weakly prime, because it can be changed into another prime (44014251260053) 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, 22007125630016 + 22007125630017.

It is an arithmetic number, because the mean of its divisors is an integer number (22007125630017).

Almost surely, 244014251260033 is an apocalyptic number.

It is an amenable number.

44014251260033 is a deficient number, since it is larger than the sum of its proper divisors (1).

44014251260033 is an equidigital number, since it uses as much as digits as its factorization.

44014251260033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 44014251260033 in words is "forty-four trillion, fourteen billion, two hundred fifty-one million, two hundred sixty thousand, thirty-three".