| Base | Representation |
|---|---|
| bin | 11101011100010101010… |
| … | …11010001100000000000 |
| 3 | 10120201020012111120000000 |
| 4 | 32232022223101200000 |
| 5 | 113033321320223430 |
| 6 | 2052424240000000 |
| 7 | 133042323250611 |
| oct | 16561253214000 |
| 9 | 3521205446000 |
| 10 | 1011643914240 |
| 11 | 360043686013 |
| 12 | 144091600000 |
| 13 | 7452272611b |
| 14 | 36d6ca51c08 |
| 15 | 1b4adae9e60 |
| hex | eb8aad1800 |
1011643914240 has 768 divisors, whose sum is σ = 3674885760000. Its totient is φ = 267233624064.
The previous prime is 1011643914223. The next prime is 1011643914257. The reversal of 1011643914240 is 424193461101.
1011643914240 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 643 + 9 + 1 + 4 + 2 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1011643914223) and next prime (1011643914257).
It is a tau number, because it is divible by the number of its divisors (768).
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 = 1011643914195 and 1011643914204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4456581007 + ... + 4456581233.
It is an arithmetic number, because the mean of its divisors is an integer number (4785007500).
Almost surely, 21011643914240 is an apocalyptic number.
1011643914240 is a gapful number since it is divisible by the number (10) 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 1011643914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837442880000).
1011643914240 is an abundant number, since it is smaller than the sum of its proper divisors (2663241845760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1011643914240 is an frugal number, since it uses more digits than its factorization.
1011643914240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 474 (or 436 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The spelling of 1011643914240 in words is "one trillion, eleven billion, six hundred forty-three million, nine hundred fourteen thousand, two hundred forty".
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