Base | Representation |
---|---|
bin | 10001011000011111100100… |
… | …01111011110011000110000 |
3 | 12000100021100110002022020000 |
4 | 20230033302033132120300 |
5 | 20002234223344010000 |
6 | 213144151300550000 |
7 | 11023443406653543 |
oct | 1054176217363060 |
9 | 160307313068200 |
10 | 38224978110000 |
11 | 111a8138690200 |
12 | 435430b9b2300 |
13 | 18437a5193306 |
14 | 9621551d685a |
15 | 4644bceb0000 |
hex | 22c3f23de630 |
38224978110000 has 3000 divisors, whose sum is σ = 163980239926272. Its totient is φ = 8562153600000.
The previous prime is 38224978109999. The next prime is 38224978110013. The reversal of 38224978110000 is 1187942283.
It is a happy number.
38224978110000 is a `hidden beast` number, since 3 + 82 + 2 + 497 + 81 + 1 + 0 + 0 + 0 + 0 = 666.
38224978110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (3000).
It is a super-2 number, since 2×382249781100002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
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 599 ways as a sum of consecutive naturals, for example, 69881129727 + ... + 69881130273.
Almost surely, 238224978110000 is an apocalyptic number.
38224978110000 is a gapful number since it is divisible by the number (30) 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 38224978110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81990119963136).
38224978110000 is an abundant number, since it is smaller than the sum of its proper divisors (125755261816272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38224978110000 is a wasteful number, since it uses less digits than its factorization.
38224978110000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 663 (or 622 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 45.
The spelling of 38224978110000 in words is "thirty-eight trillion, two hundred twenty-four billion, nine hundred seventy-eight million, one hundred ten thousand".
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