| Base | Representation |
|---|---|
| bin | 100011000001001011010… |
| … | …000001100000000011000 |
| 3 | 22112001110020100112112000 |
| 4 | 203001023100030000120 |
| 5 | 303411344210023230 |
| 6 | 5041301043121000 |
| 7 | 335600634242541 |
| oct | 43011320140030 |
| 9 | 8461406315460 |
| 10 | 2406444220440 |
| 11 | 8486270323a7 |
| 12 | 32a475373160 |
| 13 | 145c07cc35b0 |
| 14 | 846888574c8 |
| 15 | 428e5509b60 |
| hex | 2304b40c018 |
2406444220440 has 512 divisors, whose sum is σ = 8854823577600. Its totient is φ = 577571420160.
The previous prime is 2406444220429. The next prime is 2406444220451. The reversal of 2406444220440 is 440224446042.
2406444220440 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 4 + 442 + 204 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2406444220429) and next prime (2406444220451).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2406444220395 and 2406444220404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 380944162 + ... + 380950478.
It is an arithmetic number, because the mean of its divisors is an integer number (17294577300).
Almost surely, 22406444220440 is an apocalyptic number.
2406444220440 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 2406444220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427411788800).
2406444220440 is an abundant number, since it is smaller than the sum of its proper divisors (6448379357160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2406444220440 is a wasteful number, since it uses less digits than its factorization.
2406444220440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7024 (or 7014 counting only the distinct ones).
The product of its (nonzero) digits is 196608, while the sum is 36.
Adding to 2406444220440 its reverse (440224446042), we get a palindrome (2846668666482).
The spelling of 2406444220440 in words is "two trillion, four hundred six billion, four hundred forty-four million, two hundred twenty thousand, four hundred forty".
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