| Base | Representation |
|---|---|
| bin | 1101011111010000110… |
| … | …11111101001000000000 |
| 3 | 1122022021101220110102000 |
| 4 | 12233220123331020000 |
| 5 | 30043132023034130 |
| 6 | 552524444424000 |
| 7 | 45324666500520 |
| oct | 6575033751000 |
| 9 | 1568241813360 |
| 10 | 463461143040 |
| 11 | 169609807455 |
| 12 | 759a4248000 |
| 13 | 3492017b65c |
| 14 | 186085bb680 |
| 15 | c0c7e30260 |
| hex | 6be86fd200 |
463461143040 has 640 divisors, whose sum is σ = 1963280056320. Its totient is φ = 101325717504.
The previous prime is 463461143039. The next prime is 463461143059. The reversal of 463461143040 is 40341164364.
463461143040 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 611 + 4 + 30 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×4634611430402 (a number of 24 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 = 463461142986 and 463461143004.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11107497 + ... + 11149143.
It is an arithmetic number, because the mean of its divisors is an integer number (3067625088).
Almost surely, 2463461143040 is an apocalyptic number.
463461143040 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 463461143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981640028160).
463461143040 is an abundant number, since it is smaller than the sum of its proper divisors (1499818913280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
463461143040 is a wasteful number, since it uses less digits than its factorization.
463461143040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41709 (or 41687 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The spelling of 463461143040 in words is "four hundred sixty-three billion, four hundred sixty-one million, one hundred forty-three thousand, forty".
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