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12044343304301 = 71123239226912541
BaseRepresentation
bin1010111101000100101011…
…0011011110000001101101
31120122102112222211100201012
42233101022303132001231
53034313303341214201
641341032300555005
72352114024616040
oct257211263360155
946572488740635
1012044343304301
113923a82888730
121426336252a65
13694a13544199
142d8d40d46c57
1515d47ad925bb
hexaf44acde06d

12044343304301 has 64 divisors (see below), whose sum is σ = 15742959206400. Its totient is φ = 8934936595200.

The previous prime is 12044343304289. The next prime is 12044343304321. The reversal of 12044343304301 is 10340334344021.

It is not a de Polignac number, because 12044343304301 - 26 = 12044343304237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044343304321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960391091 + ... + 960403631.

It is an arithmetic number, because the mean of its divisors is an integer number (245983737600).

Almost surely, 212044343304301 is an apocalyptic number.

12044343304301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12044343304301 is a deficient number, since it is larger than the sum of its proper divisors (3698615902099).

12044343304301 is a wasteful number, since it uses less digits than its factorization.

12044343304301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15090.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 12044343304301 its reverse (10340334344021), we get a palindrome (22384677648322).

The spelling of 12044343304301 in words is "twelve trillion, forty-four billion, three hundred forty-three million, three hundred four thousand, three hundred one".

Divisors: 1 7 11 23 77 161 239 253 1673 1771 2269 2629 5497 12541 15883 18403 24959 38479 52187 60467 87787 137951 174713 288443 365309 423269 542291 574057 965657 2019101 2997299 3172873 3796037 4018399 5965201 12472693 20981093 22210111 28455529 32970289 41756407 68937877 87308851 137199623 199188703 230792023 313010819 482565139 654477167 758316647 960397361 2191075733 4581340169 5308216529 6800871431 7199248837 47606100017 50394741859 74809585741 156420042913 523667100187 1094940300391 1720620472043 12044343304301