| Base | Representation |
|---|---|
| bin | 100000001001001010… |
| … | …100011011101100000 |
| 3 | 10022002022020110101210 |
| 4 | 200021022203131200 |
| 5 | 1031140424000000 |
| 6 | 23504424030120 |
| 7 | 2331163623660 |
| oct | 401112433540 |
| 9 | 108068213353 |
| 10 | 34513500000 |
| 11 | 13700a75421 |
| 12 | 6832602340 |
| 13 | 33404b7565 |
| 14 | 1955a6a1a0 |
| 15 | d6eed2350 |
| hex | 8092a3760 |
34513500000 has 672 divisors, whose sum is σ = 137023246080. Its totient is φ = 7430400000.
The previous prime is 34513499963. The next prime is 34513500001. The reversal of 34513500000 is 531543.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-3 number, since 3×345135000003 (a number of 33 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 34513500000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34513500001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 199499914 + ... + 199500086.
It is an arithmetic number, because the mean of its divisors is an integer number (203903640).
Almost surely, 234513500000 is an apocalyptic number.
34513500000 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 34513500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68511623040).
34513500000 is an abundant number, since it is smaller than the sum of its proper divisors (102509746080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34513500000 is an equidigital number, since it uses as much as digits as its factorization.
34513500000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 242 (or 209 counting only the distinct ones).
The product of its (nonzero) digits is 900, while the sum is 21.
The spelling of 34513500000 in words is "thirty-four billion, five hundred thirteen million, five hundred thousand".
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