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444034043011 = 132359136718413
BaseRepresentation
bin1100111011000100111…
…11011100110010000011
31120110010111101112011201
412131202133130302003
524233340203334021
6535553022322031
744036402043106
oct6354237346203
91513114345151
10444034043011
1116134a706689
1272082129317
1332b453a15b0
14176c442673d
15b83c62c591
hex67627dcc83

444034043011 has 32 divisors (see below), whose sum is σ = 507837496320. Its totient is φ = 385108927104.

The previous prime is 444034043003. The next prime is 444034043041. The reversal of 444034043011 is 110340430444.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 444034043011 - 23 = 444034043003 is a prime.

It is a super-2 number, since 2×4440340430112 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444034043041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24106041 + ... + 24124453.

It is an arithmetic number, because the mean of its divisors is an integer number (15869921760).

Almost surely, 2444034043011 is an apocalyptic number.

444034043011 is a deficient number, since it is larger than the sum of its proper divisors (63803453309).

444034043011 is a wasteful number, since it uses less digits than its factorization.

444034043011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19875.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 444034043011 its reverse (110340430444), we get a palindrome (554374473455).

The spelling of 444034043011 in words is "four hundred forty-four billion, thirty-four million, forty-three thousand, eleven".

Divisors: 1 13 23 59 299 767 1357 1367 17641 17771 18413 31441 80653 239369 408733 423499 1048489 1086367 1855019 5505487 14122771 24115247 24986441 25170571 324823733 327217423 578923133 1485063689 7526000729 19305827957 34156464847 444034043011