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444034322031 = 39763111932027
BaseRepresentation
bin1100111011000101000…
…00100000111001101111
31120110010111220200220210
412131202200200321233
524233340241301111
6535553032313503
744036404314426
oct6354240407157
91513114820823
10444034322031
1116134a887283
1272082242893
1332b4546b5b1
14176c449a2bd
15b83c6850a6
hex6762820e6f

444034322031 has 32 divisors (see below), whose sum is σ = 599895249408. Its totient is φ = 292117432320.

The previous prime is 444034322021. The next prime is 444034322057. The reversal of 444034322031 is 130223430444.

It is a happy number.

It is not a de Polignac number, because 444034322031 - 211 = 444034319983 is a prime.

It is a super-2 number, since 2×4440343220312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444034322031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444034322021) 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 31 ways as a sum of consecutive naturals, for example, 219058840 + ... + 219060866.

It is an arithmetic number, because the mean of its divisors is an integer number (18746726544).

Almost surely, 2444034322031 is an apocalyptic number.

444034322031 is a deficient number, since it is larger than the sum of its proper divisors (155860927377).

444034322031 is a wasteful number, since it uses less digits than its factorization.

444034322031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 444034322031 its reverse (130223430444), we get a palindrome (574257752475).

The spelling of 444034322031 in words is "four hundred forty-four billion, thirty-four million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 3 97 291 631 1193 1893 2027 3579 6081 61207 115721 183621 196619 347163 589857 752783 1279037 2258349 2418211 3837111 7254633 73019951 124066589 219059853 234566467 372199767 703699401 1525891141 4577673423 148011440677 444034322031