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12344055044321 = 71113891229112741
BaseRepresentation
bin1011001110100001001100…
…0001000001100011100001
31121201002011102100021002202
42303220103001001203201
53104221111042404241
642130440335422545
72412554122436330
oct263502301014341
947632142307082
1012344055044321
113a2a0a2299a40
12147443b084a55
136b7068725850
14309653a8dd17
1516616d0b0d9b
hexb3a130418e1

12344055044321 has 64 divisors (see below), whose sum is σ = 16773844953600. Its totient is φ = 8771857459200.

The previous prime is 12344055044317. The next prime is 12344055044327.

12344055044321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12344055044321 - 22 = 12344055044317 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12344055044327) 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 63 ways as a sum of consecutive naturals, for example, 109434011 + ... + 109546751.

It is an arithmetic number, because the mean of its divisors is an integer number (262091327400).

Almost surely, 212344055044321 is an apocalyptic number.

12344055044321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12344055044321 is a deficient number, since it is larger than the sum of its proper divisors (4429789909279).

12344055044321 is a wasteful number, since it uses less digits than its factorization.

12344055044321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114090.

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 1234405 and 5044321, that added together give a palindrome (6278726).

The spelling of 12344055044321 in words is "twelve trillion, three hundred forty-four billion, fifty-five million, forty-four thousand, three hundred twenty-one".

Divisors: 1 7 11 13 77 89 91 143 623 979 1001 1157 1229 6853 8099 8603 12727 13519 15977 89089 94633 109381 111839 112741 175747 765667 789187 1203191 1230229 1240151 1421953 1465633 8422337 8681057 9953671 10033949 10259431 15641483 16121963 70237643 109490381 110373439 112853741 130441337 138558689 772614073 913089359 969910823 1434854707 1524145579 1801262957 10043982949 10669019053 12331723321 12608840699 19813892527 86322063247 135648956531 138697247689 160312403173 949542695717 1122186822211 1763436434903 12344055044321