| Base | Representation |
|---|---|
| bin | 101111001101001101111100… |
| … | …0101011101011011010000000 |
| 3 | 2000110012220000010200110002000 |
| 4 | 1132122123320223223122000 |
| 5 | 413411134211213122430 |
| 6 | 4031043225521224000 |
| 7 | 153314411223201030 |
| oct | 13632337053533200 |
| 9 | 2013186003613060 |
| 10 | 415233020442240 |
| 11 | 110340375a34360 |
| 12 | 3a6a2b36492000 |
| 13 | 14a903c8b42800 |
| 14 | 74775578538c0 |
| 15 | 330126cac1e60 |
| hex | 179a6f8aeb680 |
415233020442240 has 6144 divisors, whose sum is σ = 2213198650368000. Its totient is φ = 71002399703040.
The previous prime is 415233020442197. The next prime is 415233020442263. The reversal of 415233020442240 is 42244020332514.
415233020442240 is a `hidden beast` number, since 4 + 1 + 5 + 23 + 3 + 0 + 204 + 422 + 4 + 0 = 666.
It is a super-2 number, since 2×4152330204422402 (a number of 30 digits) contains 22 as substring.
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 = 415233020442195 and 415233020442204.
It is an unprimeable number.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 72631275862 + ... + 72631281578.
It is an arithmetic number, because the mean of its divisors is an integer number (360221134500).
Almost surely, 2415233020442240 is an apocalyptic number.
415233020442240 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 415233020442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106599325184000).
415233020442240 is an abundant number, since it is smaller than the sum of its proper divisors (1797965629925760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
415233020442240 is a wasteful number, since it uses less digits than its factorization.
415233020442240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5825 (or 5794 counting only the distinct ones).
The product of its (nonzero) digits is 184320, while the sum is 36.
Adding to 415233020442240 its reverse (42244020332514), we get a palindrome (457477040774754).
The spelling of 415233020442240 in words is "four hundred fifteen trillion, two hundred thirty-three billion, twenty million, four hundred forty-two thousand, two hundred forty".
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