Base | Representation |
---|---|
bin | 1011010010100011010011… |
… | …1111000011101110011000 |
3 | 1121221201000022112210202110 |
4 | 2310220310333003232120 |
5 | 3111340012133243000 |
6 | 42222340043432320 |
7 | 2420556150502122 |
oct | 264506477035630 |
9 | 47851008483673 |
10 | 12413344431000 |
11 | 3a56519352777 |
12 | 1485957b256a0 |
13 | 6c075b886036 |
14 | 30cb48168212 |
15 | 167d76104850 |
hex | b4a34fc3b98 |
12413344431000 has 256 divisors, whose sum is σ = 39163904357760. Its totient is φ = 3273169305600.
The previous prime is 12413344430987. The next prime is 12413344431001. The reversal of 12413344431000 is 13444331421.
It is a super-2 number, since 2×124133444310002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12413344431001) 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, 335504502 + ... + 335541498.
Almost surely, 212413344431000 is an apocalyptic number.
12413344431000 is a gapful number since it is divisible by the number (10) 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 12413344431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19581952178880).
12413344431000 is an abundant number, since it is smaller than the sum of its proper divisors (26750559926760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12413344431000 is a wasteful number, since it uses less digits than its factorization.
12413344431000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38271 (or 38257 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 30.
Adding to 12413344431000 its reverse (13444331421), we get a palindrome (12426788762421).
The spelling of 12413344431000 in words is "twelve trillion, four hundred thirteen billion, three hundred forty-four million, four hundred thirty-one thousand".
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