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444102440221 = 11229126560969
BaseRepresentation
bin1100111011001101001…
…00010111010100011101
31120110022021002110111201
412131212210113110131
524234010211041341
6540003504315501
744041162312636
oct6354644272435
91513267073451
10444102440221
11161385282500
12720a1012b91
1332b565cb70b
14176cd54c88d
15b84363d331
hex676691751d

444102440221 has 12 divisors (see below), whose sum is σ = 504978270300. Its totient is φ = 389807781440.

The previous prime is 444102440207. The next prime is 444102440233. The reversal of 444102440221 is 122044201444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 280470864025 + 163631576196 = 529595^2 + 404514^2 .

It is not a de Polignac number, because 444102440221 - 217 = 444102309149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444102440221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444102440291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63276976 + ... + 63283993.

It is an arithmetic number, because the mean of its divisors is an integer number (42081522525).

Almost surely, 2444102440221 is an apocalyptic number.

It is an amenable number.

444102440221 is a deficient number, since it is larger than the sum of its proper divisors (60875830079).

444102440221 is a wasteful number, since it uses less digits than its factorization.

444102440221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126561020 (or 126561009 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 444102440221 its reverse (122044201444), we get a palindrome (566146641665).

The spelling of 444102440221 in words is "four hundred forty-four billion, one hundred two million, four hundred forty thousand, two hundred twenty-one".

Divisors: 1 11 29 121 319 3509 126560969 1392170659 3670268101 15313877249 40372949111 444102440221