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444424514131 = 1343795034909
BaseRepresentation
bin1100111011110011100…
…00111110101001010011
31120111010201010111212001
412131321300332221103
524240140133423011
6540055451414431
744052153016633
oct6357160765123
91514121114761
10444424514131
11161530063394
1272170a54417
1332ba82578b0
141772022a6c3
15b861a5c7c1
hex6779c3ea53

444424514131 has 8 divisors (see below), whose sum is σ = 489741504560. Its totient is φ = 400697593632.

The previous prime is 444424514117. The next prime is 444424514137. The reversal of 444424514131 is 131415424444.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444424514131 - 25 = 444424514099 is a prime.

It is a super-3 number, since 3×4444245141313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444424514137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 397516896 + ... + 397518013.

It is an arithmetic number, because the mean of its divisors is an integer number (61217688070).

Almost surely, 2444424514131 is an apocalyptic number.

444424514131 is a deficient number, since it is larger than the sum of its proper divisors (45316990429).

444424514131 is a wasteful number, since it uses less digits than its factorization.

444424514131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795034965.

The product of its digits is 122880, while the sum is 37.

Adding to 444424514131 its reverse (131415424444), we get a palindrome (575839938575).

The spelling of 444424514131 in words is "four hundred forty-four billion, four hundred twenty-four million, five hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 13 43 559 795034909 10335453817 34186501087 444424514131