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444413450252061 = 34263119031752629
BaseRepresentation
bin110010100001100010001000…
…1110101011110111100011101
32011021112111210110110210120000
41211003010101311132330131
5431222232221231031221
64213104415351044513
7162415545406120203
oct14503042165367435
92137474713423500
10444413450252061
1111967075a918124
1241a16379370739
13160c90159a85b4
147ba5a236b7073
15365a33143de26
hex1943111d5ef1d

444413450252061 has 40 divisors (see below), whose sum is σ = 666457495418880. Its totient is φ = 295124145595488.

The previous prime is 444413450251949. The next prime is 444413450252063. The reversal of 444413450252061 is 160252054314444.

444413450252061 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 1 + 34 + 502 + 52 + 0 + 61 = 666.

It is not a de Polignac number, because 444413450252061 - 29 = 444413450251549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444413450251998 and 444413450252016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444413450252063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252693295 + ... + 254445923.

It is an arithmetic number, because the mean of its divisors is an integer number (16661437385472).

Almost surely, 2444413450252061 is an apocalyptic number.

It is an amenable number.

444413450252061 is a deficient number, since it is larger than the sum of its proper divisors (222044045166819).

444413450252061 is a wasteful number, since it uses less digits than its factorization.

444413450252061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764807 (or 1764798 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 444413450252061 in words is "four hundred forty-four trillion, four hundred thirteen billion, four hundred fifty million, two hundred fifty-two thousand, sixty-one".

Divisors: 1 3 9 27 81 263 789 2367 7101 11903 21303 35709 107127 321381 964143 1752629 3130489 5257887 9391467 15773661 28174401 47320983 84523203 141962949 253569609 460941427 1382824281 4148472843 12445418529 20861542987 37336255587 62584628961 187753886883 563261660649 1689784981947 5486585805581 16459757416743 49379272250229 148137816750687 444413450252061