Base | Representation |
---|---|
bin | 111111101010101111101… |
… | …000110101010000000000 |
3 | 120111021012211202121020000 |
4 | 333222233220311100000 |
5 | 1033140424144032000 |
6 | 13145541102120000 |
7 | 631046054326512 |
oct | 77525750652000 |
9 | 16437184677200 |
10 | 4375223424000 |
11 | 1437581619780 |
12 | 5a7b45580000 |
13 | 259774299600 |
14 | 111a94ab7bb2 |
15 | 78c22616000 |
hex | 3faafa35400 |
4375223424000 has 2640 divisors, whose sum is σ = 19346169750336. Its totient is φ = 974757888000.
The previous prime is 4375223423981. The next prime is 4375223424059. The reversal of 4375223424000 is 4243225734.
4375223424000 is a `hidden beast` number, since 4 + 3 + 7 + 5 + 223 + 424 + 0 + 0 + 0 = 666.
4375223424000 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 (2640).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19274111887 + ... + 19274112113.
Almost surely, 24375223424000 is an apocalyptic number.
4375223424000 is a gapful number since it is divisible by the number (40) 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 4375223424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9673084875168).
4375223424000 is an abundant number, since it is smaller than the sum of its proper divisors (14970946326336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4375223424000 is a wasteful number, since it uses less digits than its factorization.
4375223424000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 311 (or 261 counting only the distinct ones).
The product of its (nonzero) digits is 161280, while the sum is 36.
Adding to 4375223424000 its reverse (4243225734), we get a palindrome (4379466649734).
The spelling of 4375223424000 in words is "four trillion, three hundred seventy-five billion, two hundred twenty-three million, four hundred twenty-four thousand".
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