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444131432330001 = 313171539414351547
BaseRepresentation
bin110010011111011110110100…
…0010000011111001100010001
32011020112112212010222222101120
41210332331220100133030101
5431203122133134030001
64212331055140152453
7162356302631253663
oct14476755020371421
92136475763888346
10444131432330001
111195720a0082169
124198b792098729
13160a85504738c0
147b9610c858533
153652d27798236
hex193ef6841f311

444131432330001 has 32 divisors (see below), whose sum is σ = 675245090233728. Its totient is φ = 257232764636160.

The previous prime is 444131432329993. The next prime is 444131432330017. The reversal of 444131432330001 is 100033234131444.

It is not a de Polignac number, because 444131432330001 - 23 = 444131432329993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444131432330041) 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, 99887110 + ... + 104238656.

It is an arithmetic number, because the mean of its divisors is an integer number (21101409069804).

Almost surely, 2444131432330001 is an apocalyptic number.

It is an amenable number.

444131432330001 is a deficient number, since it is larger than the sum of its proper divisors (231113657903727).

444131432330001 is a wasteful number, since it uses less digits than its factorization.

444131432330001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505521.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 444131432330001 its reverse (100033234131444), we get a palindrome (544164666461445).

The spelling of 444131432330001 in words is "four hundred forty-four trillion, one hundred thirty-one billion, four hundred thirty-two million, three hundred thirty thousand, one".

Divisors: 1 3 13 17 39 51 221 663 153941 461823 2001233 2616997 4351547 6003699 7850991 13054641 34020961 56570111 73976299 102062883 169710333 221928897 961691887 2885075661 669881496727 2009644490181 8708459457451 11387985444359 26125378372353 34163956333077 148043810776667 444131432330001