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444013340220 = 223252466740779
BaseRepresentation
bin1100111011000010100…
…00011110011000111100
31120110002001102201021200
412131201100132120330
524233314403341340
6535551002455500
744036031056112
oct6354120363074
91513061381250
10444013340220
11161339a5633a
1272077204590
1332b41003318
14176c1797ab2
15b83a8dd330
hex676141e63c

444013340220 has 36 divisors (see below), whose sum is σ = 1346840465880. Its totient is φ = 118403557344.

The previous prime is 444013340153. The next prime is 444013340227. The reversal of 444013340220 is 22043310444.

It is a happy number.

444013340220 is a `hidden beast` number, since 4 + 4 + 401 + 3 + 34 + 0 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444013340227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233370210 + ... + 1233370569.

Almost surely, 2444013340220 is an apocalyptic number.

It is an amenable number.

444013340220 is an abundant number, since it is smaller than the sum of its proper divisors (902827125660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444013340220 is a wasteful number, since it uses less digits than its factorization.

444013340220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466740794 (or 2466740789 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 444013340220 its reverse (22043310444), we get a palindrome (466056650664).

The spelling of 444013340220 in words is "four hundred forty-four billion, thirteen million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2466740779 4933481558 7400222337 9866963116 12333703895 14800444674 22200667011 24667407790 29600889348 37001111685 44401334022 49334815580 74002223370 88802668044 111003335055 148004446740 222006670110 444013340220