Base | Representation |
---|---|
bin | 111101011101000110011… |
… | …010010001011000000000 |
3 | 112221201122110221122222201 |
4 | 331131012122101120000 |
5 | 1023142434320102000 |
6 | 12552025301042544 |
7 | 614053125640102 |
oct | 75350632213000 |
9 | 15851573848881 |
10 | 4223134144000 |
11 | 1389026144642 |
12 | 58257b0b6454 |
13 | 248316c137c5 |
14 | 108587a6b572 |
15 | 74cc03da96a |
hex | 3d746691600 |
4223134144000 has 160 divisors (see below), whose sum is σ = 10988507065536. Its totient is φ = 1615807283200.
The previous prime is 4223134143989. The next prime is 4223134144001. The reversal of 4223134144000 is 4414313224.
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×42231341440002 (a number of 26 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 4223134144000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4223134144001) 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, 37512 + ... + 2906488.
Almost surely, 24223134144000 is an apocalyptic number.
4223134144000 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 4223134144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494253532768).
4223134144000 is an abundant number, since it is smaller than the sum of its proper divisors (6765372921536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4223134144000 is an equidigital number, since it uses as much as digits as its factorization.
4223134144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2869033 (or 2869007 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 28.
Adding to 4223134144000 its reverse (4414313224), we get a palindrome (4227548457224).
The spelling of 4223134144000 in words is "four trillion, two hundred twenty-three billion, one hundred thirty-four million, one hundred forty-four thousand".
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