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444034131331 = 72311324406867
BaseRepresentation
bin1100111011000100111…
…11110010010110000011
31120110010111120000022211
412131202133302112003
524233340214200311
6535553024242551
744036402561440
oct6354237622603
91513114500284
10444034131331
1116134a766a7a
1272082170457
1332b4540285b
14176c444a9c7
15b83c648821
hex67627f2583

444034131331 has 16 divisors (see below), whose sum is σ = 534217526784. Its totient is φ = 360831106944.

The previous prime is 444034131319. The next prime is 444034131337. The reversal of 444034131331 is 133131430444.

It is a happy number.

It is not a de Polignac number, because 444034131331 - 233 = 435444196739 is a prime.

It is a super-2 number, since 2×4440341313312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444034131293 and 444034131302.

It is not an unprimeable number, because it can be changed into a prime (444034131337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12185241 + ... + 12221626.

It is an arithmetic number, because the mean of its divisors is an integer number (33388595424).

Almost surely, 2444034131331 is an apocalyptic number.

444034131331 is a deficient number, since it is larger than the sum of its proper divisors (90183395453).

444034131331 is a wasteful number, since it uses less digits than its factorization.

444034131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24407010.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 444034131331 its reverse (133131430444), we get a palindrome (577165561775).

The spelling of 444034131331 in words is "four hundred forty-four billion, thirty-four million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 23 113 161 791 2599 18193 24406867 170848069 561357941 2757975971 3929505587 19305831797 63433447333 444034131331