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444034131333 = 31319358992179
BaseRepresentation
bin1100111011000100111…
…11110010010110000101
31120110010111120000022220
412131202133302112011
524233340214200313
6535553024242553
744036402561442
oct6354237622605
91513114500286
10444034131333
1116134a766a81
1272082170459
1332b45402860
14176c444a9c9
15b83c648823
hex67627f2585

444034131333 has 16 divisors (see below), whose sum is σ = 640891043520. Its totient is φ = 271835956224.

The previous prime is 444034131319. The next prime is 444034131337. The reversal of 444034131333 is 333131430444.

It is not a de Polignac number, because 444034131333 - 26 = 444034131269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444034131294 and 444034131303.

It is a congruent number.

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, 29488563 + ... + 29503616.

It is an arithmetic number, because the mean of its divisors is an integer number (40055690220).

Almost surely, 2444034131333 is an apocalyptic number.

It is an amenable number.

444034131333 is a deficient number, since it is larger than the sum of its proper divisors (196856912187).

444034131333 is a wasteful number, since it uses less digits than its factorization.

444034131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58992388.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 444034131333 its reverse (333131430444), we get a palindrome (777165561777).

The spelling of 444034131333 in words is "four hundred forty-four billion, thirty-four million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 13 39 193 579 2509 7527 58992179 176976537 766898327 2300694981 11385490547 34156471641 148011377111 444034131333