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12321544144 = 2471348717377
BaseRepresentation
bin10110111100110101…
…11101011111010000
31011210201011021222211
423132122331133100
5200213303403034
65354353241504
7614224253140
oct133632753720
934721137884
1012321544144
115253210538
12247a563294
131214966830
1484c5dc920
154c1ad7d64
hex2de6bd7d0

12321544144 has 80 divisors (see below), whose sum is σ = 29444171008. Its totient is φ = 4864167936.

The previous prime is 12321544141. The next prime is 12321544163. The reversal of 12321544144 is 44144512321.

It is a happy number.

It is a super-3 number, since 3×123215441443 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321544141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700384 + ... + 717760.

Almost surely, 212321544144 is an apocalyptic number.

12321544144 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 12321544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722085504).

12321544144 is an abundant number, since it is smaller than the sum of its proper divisors (17122626864).

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

12321544144 is a wasteful number, since it uses less digits than its factorization.

12321544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17892 (or 17886 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The spelling of 12321544144 in words is "twelve billion, three hundred twenty-one million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 487 728 974 1456 1948 3409 3896 6331 6818 7792 12662 13636 17377 25324 27272 34754 44317 50648 54544 69508 88634 101296 121639 139016 177268 225901 243278 278032 354536 451802 486556 709072 903604 973112 1581307 1807208 1946224 3162614 3614416 6325228 8462599 12650456 16925198 25300912 33850396 59238193 67700792 110013787 118476386 135401584 220027574 236952772 440055148 473905544 770096509 880110296 947811088 1540193018 1760220592 3080386036 6160772072 12321544144