Base | Representation |
---|---|
bin | 11001110010010000… |
… | …01011111000000000 |
3 | 1022201202200222210100 |
4 | 30321020023320000 |
5 | 211322344131432 |
6 | 10205355002400 |
7 | 1000023345024 |
oct | 147110137000 |
9 | 38652628710 |
10 | 13843348992 |
11 | 5964233aa0 |
12 | 2824139400 |
13 | 13c8021885 |
14 | 95477a384 |
15 | 5604dd07c |
hex | 33920be00 |
13843348992 has 240 divisors, whose sum is σ = 44415893808. Its totient is φ = 4115005440.
The previous prime is 13843348973. The next prime is 13843348993. The reversal of 13843348992 is 29984334831.
13843348992 is a `hidden beast` number, since 1 + 38 + 43 + 3 + 489 + 92 = 666.
It is a super-2 number, since 2×138433489922 (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 not an unprimeable number, because it can be changed into a prime (13843348993) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2683888 + ... + 2689040.
Almost surely, 213843348992 is an apocalyptic number.
13843348992 is a gapful number since it is divisible by the number (12) 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 13843348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22207946904).
13843348992 is an abundant number, since it is smaller than the sum of its proper divisors (30572544816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13843348992 is a wasteful number, since it uses less digits than its factorization.
13843348992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5241 (or 5222 counting only the distinct ones).
The product of its digits is 4478976, while the sum is 54.
The spelling of 13843348992 in words is "thirteen billion, eight hundred forty-three million, three hundred forty-eight thousand, nine hundred ninety-two".
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