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444527520124014 = 23250114928352293
BaseRepresentation
bin110010100010010111010000…
…0111011100000110001101110
32011021221102020012001200200100
41211010232200323200301232
5431231114330122432024
64213233042404211530
7162430024230045435
oct14504564073406156
92137842205050610
10444527520124014
11119705076335278
1241a344b3099ba6
13161069c441c352
147bab3651dc11c
15365d2aa9ae7c9
hex1944ba0ee0c6e

444527520124014 has 24 divisors (see below), whose sum is σ = 963335166203592. Its totient is φ = 148146269897520.

The previous prime is 444527520124007. The next prime is 444527520124027. The reversal of 444527520124014 is 410421025725444.

It is a happy number.

444527520124014 is a `hidden beast` number, since 4 + 4 + 45 + 27 + 520 + 12 + 40 + 14 = 666.

It is a super-2 number, since 2×4445275201240142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 2464085949 + ... + 2464266344.

It is an arithmetic number, because the mean of its divisors is an integer number (40138965258483).

Almost surely, 2444527520124014 is an apocalyptic number.

444527520124014 is an abundant number, since it is smaller than the sum of its proper divisors (518807646079578).

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

444527520124014 is a wasteful number, since it uses less digits than its factorization.

444527520124014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928357312 (or 4928357309 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

Adding to 444527520124014 its reverse (410421025725444), we get a palindrome (854948545849458).

The spelling of 444527520124014 in words is "four hundred forty-four trillion, five hundred twenty-seven billion, five hundred twenty million, one hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 5011 10022 15033 30066 45099 90198 4928352293 9856704586 14785056879 29570113758 44355170637 88710341274 24695973340223 49391946680446 74087920020669 148175840041338 222263760062007 444527520124014