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444005103345 = 35291297786971
BaseRepresentation
bin1100111011000001100…
…01000011011011110001
31120110001110221020102020
412131200301003123301
524233310301301340
6535550110142053
744035601051646
oct6354061033361
91513043836366
10444005103345
1116133533a901
12720744b1929
1332b3c3ab12b
14176c0651dcd
15b839d129d0
hex6760c436f1

444005103345 has 32 divisors (see below), whose sum is σ = 735472552320. Its totient is φ = 228460538880.

The previous prime is 444005103329. The next prime is 444005103413. The reversal of 444005103345 is 543301500444.

It is a happy number.

It is not a de Polignac number, because 444005103345 - 24 = 444005103329 is a prime.

It is an unprimeable number.

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, 170710 + ... + 957680.

It is an arithmetic number, because the mean of its divisors is an integer number (22983517260).

Almost surely, 2444005103345 is an apocalyptic number.

It is an amenable number.

444005103345 is a deficient number, since it is larger than the sum of its proper divisors (291467448975).

444005103345 is a wasteful number, since it uses less digits than its factorization.

444005103345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788305.

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 444005103345 its reverse (543301500444), we get a palindrome (987306603789).

The spelling of 444005103345 in words is "four hundred forty-four billion, five million, one hundred three thousand, three hundred forty-five".

Divisors: 1 3 5 15 29 87 145 435 1297 3891 6485 19455 37613 112839 188065 564195 786971 2360913 3934855 11804565 22822159 68466477 114110795 342332385 1020701387 3062104161 5103506935 15310520805 29600340223 88801020669 148001701115 444005103345