| Base | Representation |
|---|---|
| bin | 111011101011010001101… |
| … | …101101011100100000000 |
| 3 | 112112001011222020022111000 |
| 4 | 323223101231223210000 |
| 5 | 1014142134301312230 |
| 6 | 12415534012052000 |
| 7 | 602165360112225 |
| oct | 73532155534400 |
| 9 | 15461158208430 |
| 10 | 4100917213440 |
| 11 | 1341209946803 |
| 12 | 562950a64000 |
| 13 | 23993a64a808 |
| 14 | 1026b211b94c |
| 15 | 71a1a9c1b60 |
| hex | 3bad1b6b900 |
4100917213440 has 1728 divisors, whose sum is σ = 16134887301120. Its totient is φ = 985454346240.
The previous prime is 4100917213403. The next prime is 4100917213511. The reversal of 4100917213440 is 443127190014.
4100917213440 is a `hidden beast` number, since 4 + 100 + 91 + 7 + 21 + 3 + 440 = 666.
4100917213440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1728).
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 = 4100917213395 and 4100917213404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32290686657 + ... + 32290686783.
It is an arithmetic number, because the mean of its divisors is an integer number (9337319040).
Almost surely, 24100917213440 is an apocalyptic number.
4100917213440 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 4100917213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067443650560).
4100917213440 is an abundant number, since it is smaller than the sum of its proper divisors (12033970087680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4100917213440 is a wasteful number, since it uses less digits than its factorization.
4100917213440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 305 (or 268 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The spelling of 4100917213440 in words is "four trillion, one hundred billion, nine hundred seventeen million, two hundred thirteen thousand, four hundred forty".
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