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12442323413001 = 347279748776469
BaseRepresentation
bin1011010100001111010001…
…0001000110100000001001
31122001110210220121121202010
42311003310101012200021
53112323334243204001
642243531403530133
72422633242001116
oct265036421064011
948043726547663
1012442323413001
113a6783a217879
12148b4a4b29949
136c33c9562371
143102d6b5390d
151689c02998d6
hexb50f4446809

12442323413001 has 32 divisors (see below), whose sum is σ = 16954891522560. Its totient is φ = 8112574584576.

The previous prime is 12442323412973. The next prime is 12442323413041. The reversal of 12442323413001 is 10031432324421.

It is not a de Polignac number, because 12442323413001 - 25 = 12442323412969 is a prime.

It is a super-2 number, since 2×124423234130012 (a number of 27 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 12442323413001.

It is not an unprimeable number, because it can be changed into a prime (12442323413041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1923373395 + ... + 1923379863.

It is an arithmetic number, because the mean of its divisors is an integer number (529840360080).

Almost surely, 212442323413001 is an apocalyptic number.

It is an amenable number.

12442323413001 is a deficient number, since it is larger than the sum of its proper divisors (4512568109559).

12442323413001 is a wasteful number, since it uses less digits than its factorization.

12442323413001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14193.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12442323413001 its reverse (10031432324421), we get a palindrome (22473755737422).

The spelling of 12442323413001 in words is "twelve trillion, four hundred forty-two billion, three hundred twenty-three million, four hundred thirteen thousand, one".

Divisors: 1 3 47 141 2797 4877 6469 8391 14631 19407 131459 229219 304043 394377 687657 912129 13640969 18093793 31549313 40922907 54281379 94647939 641125543 850408271 1482817711 1923376629 2551224813 4448453133 88243428461 264730285383 4147441137667 12442323413001