| Base | Representation |
|---|---|
| bin | 1111110001010010000100… |
| … | …10100000000000000000000 |
| 3 | 11112210020201201200202221000 |
| 4 | 13320221002110000000000 |
| 5 | 14021133413143041130 |
| 6 | 201431055344332000 |
| 7 | 10206310660351440 |
| oct | 770510224000000 |
| 9 | 145706651622830 |
| 10 | 34678678487040 |
| 11 | 10060165a31025 |
| 12 | 3a80b63314000 |
| 13 | 164725429c053 |
| 14 | 87c657dc8120 |
| 15 | 402113081260 |
| hex | 1f8a42500000 |
34678678487040 has 1344 divisors, whose sum is σ = 143022342758400. Its totient is φ = 7808552534016.
The previous prime is 34678678487023. The next prime is 34678678487059. The reversal of 34678678487040 is 4078487687643.
34678678487040 is a `hidden beast` number, since 3 + 4 + 6 + 78 + 6 + 78 + 487 + 0 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-3 number, since 3×346786784870403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 34678678487040.
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, 78281441059 + ... + 78281441501.
It is an arithmetic number, because the mean of its divisors is an integer number (106415433600).
Almost surely, 234678678487040 is an apocalyptic number.
34678678487040 is a gapful number since it is divisible by the number (30) 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 34678678487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71511171379200).
34678678487040 is an abundant number, since it is smaller than the sum of its proper divisors (108343664271360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34678678487040 is an frugal number, since it uses more digits than its factorization.
34678678487040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 583 (or 539 counting only the distinct ones).
The product of its (nonzero) digits is 1213857792, while the sum is 72.
The spelling of 34678678487040 in words is "thirty-four trillion, six hundred seventy-eight billion, six hundred seventy-eight million, four hundred eighty-seven thousand, forty".
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