| Base | Representation |
|---|---|
| bin | 101110111100111110101111… |
| … | …0010111011111011011111000 |
| 3 | 2000011022112122201200002021100 |
| 4 | 1131321331132113133123320 |
| 5 | 413113103222404314230 |
| 6 | 4022214110430011400 |
| 7 | 152664235204456500 |
| oct | 13571753627373370 |
| 9 | 2004275581602240 |
| 10 | 413001343432440 |
| 11 | 10a65a982499034 |
| 12 | 3a3a2516346b60 |
| 13 | 1495ab2363a0b9 |
| 14 | 73db52bc58a00 |
| 15 | 32b31a56d4660 |
| hex | 1779f5e5df6f8 |
413001343432440 has 288 divisors, whose sum is σ = 1562439662550000. Its totient is φ = 94337325508608.
The previous prime is 413001343432373. The next prime is 413001343432441. The reversal of 413001343432440 is 44234343100314.
413001343432440 is a `hidden beast` number, since 4 + 1 + 30 + 0 + 1 + 343 + 43 + 244 + 0 = 666.
It is a super-3 number, since 3×4130013434324403 (a number of 45 digits) contains 333 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 = 413001343432395 and 413001343432404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (413001343432441) 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, 18632896 + ... + 34251824.
Almost surely, 2413001343432440 is an apocalyptic number.
413001343432440 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 413001343432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781219831275000).
413001343432440 is an abundant number, since it is smaller than the sum of its proper divisors (1149438319117560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
413001343432440 is a wasteful number, since it uses less digits than its factorization.
413001343432440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15620459 (or 15620445 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 36.
Adding to 413001343432440 its reverse (44234343100314), we get a palindrome (457235686532754).
The spelling of 413001343432440 in words is "four hundred thirteen trillion, one billion, three hundred forty-three million, four hundred thirty-two thousand, four hundred forty".
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