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12322444344 = 2337242124889
BaseRepresentation
bin10110111100111100…
…11001010000111000
31011210202212000211120
423132132121100320
5200214021204334
65354424425240
7614235022500
oct133636312070
934722760746
1012322444344
115253775901
12247a918220
131214bc04b2
1484c794a00
154c1c14949
hex2de799438

12322444344 has 96 divisors (see below), whose sum is σ = 35922243600. Its totient is φ = 3512194560.

The previous prime is 12322444331. The next prime is 12322444361. The reversal of 12322444344 is 44344422321.

It is a super-2 number, since 2×123224443442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482652 + ... + 507540.

Almost surely, 212322444344 is an apocalyptic number.

12322444344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17961121800).

12322444344 is an abundant number, since it is smaller than the sum of its proper divisors (23599799256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12322444344 is a wasteful number, since it uses less digits than its factorization.

12322444344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25333 (or 25322 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

Adding to 12322444344 its reverse (44344422321), we get a palindrome (56666866665).

The spelling of 12322444344 in words is "twelve billion, three hundred twenty-two million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 421 588 842 1176 1263 1684 2526 2947 3368 5052 5894 8841 10104 11788 17682 20629 23576 24889 35364 41258 49778 61887 70728 74667 82516 99556 123774 149334 165032 174223 199112 247548 298668 348446 495096 522669 597336 696892 1045338 1219561 1393784 2090676 2439122 3658683 4181352 4878244 7317366 9756488 10478269 14634732 20956538 29269464 31434807 41913076 62869614 73347883 83826152 125739228 146695766 220043649 251478456 293391532 440087298 513435181 586783064 880174596 1026870362 1540305543 1760349192 2053740724 3080611086 4107481448 6161222172 12322444344