| Base | Representation |
|---|---|
| bin | 111111010011111… |
| … | …1100101011111000 |
| 3 | 12111001102202212100 |
| 4 | 1332213330223320 |
| 5 | 13322321321100 |
| 6 | 550445143400 |
| 7 | 103434054042 |
| oct | 17647745370 |
| 9 | 5431382770 |
| 10 | 2124401400 |
| 11 | 9a0195240 |
| 12 | 4b355ab60 |
| 13 | 27b182764 |
| 14 | 1621dca92 |
| 15 | c6787400 |
| hex | 7e9fcaf8 |
2124401400 has 288 divisors, whose sum is σ = 8194118400. Its totient is φ = 487814400.
The previous prime is 2124401399. The next prime is 2124401401. The reversal of 2124401400 is 41044212.
2124401400 is a `hidden beast` number, since 21 + 244 + 0 + 1 + 400 = 666.
It is an interprime number because it is at equal distance from previous prime (2124401399) and next prime (2124401401).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2124401401) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 373377 + ... + 379023.
It is an arithmetic number, because the mean of its divisors is an integer number (28451800).
Almost surely, 22124401400 is an apocalyptic number.
2124401400 is a gapful number since it is divisible by the number (20) 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 2124401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097059200).
2124401400 is an abundant number, since it is smaller than the sum of its proper divisors (6069717000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2124401400 is a wasteful number, since it uses less digits than its factorization.
2124401400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5699 (or 5687 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 2124401400 is about 46091.2291005566. The cubic root of 2124401400 is about 1285.5200648422.
Adding to 2124401400 its reverse (41044212), we get a palindrome (2165445612).
The spelling of 2124401400 in words is "two billion, one hundred twenty-four million, four hundred one thousand, four hundred".
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