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45144901 is a prime number
BaseRepresentation
bin1010110000110…
…1101101000101
310010221121011101
42230031231011
543024114101
64251340101
71055503534
oct254155505
9103847141
1045144901
112353503a
1213151631
139478579
145dd231b
153e6b401
hex2b0db45

45144901 has 2 divisors, whose sum is σ = 45144902. Its totient is φ = 45144900.

The previous prime is 45144899. The next prime is 45144917. The reversal of 45144901 is 10944154.

45144901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37576900 + 7568001 = 6130^2 + 2751^2 .

It is a cyclic number.

It is not a de Polignac number, because 45144901 - 21 = 45144899 is a prime.

It is a super-3 number, since 3×451449013 (a number of 24 digits) contains 333 as substring.

Together with 45144899, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45144901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45144301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22572450 + 22572451.

It is an arithmetic number, because the mean of its divisors is an integer number (22572451).

Almost surely, 245144901 is an apocalyptic number.

It is an amenable number.

45144901 is a deficient number, since it is larger than the sum of its proper divisors (1).

45144901 is an equidigital number, since it uses as much as digits as its factorization.

45144901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 45144901 is about 6718.9955350484. The cubic root of 45144901 is about 356.0706972543.

The spelling of 45144901 in words is "forty-five million, one hundred forty-four thousand, nine hundred one".