| Base | Representation |
|---|---|
| bin | 1111101100001111100011… |
| … | …00101001010011101100000 |
| 3 | 11112011200210101111112020000 |
| 4 | 13312013301211022131200 |
| 5 | 14010314303441340000 |
| 6 | 201215341451420000 |
| 7 | 10160641041032661 |
| oct | 766076145123540 |
| 9 | 145150711445200 |
| 10 | 34505525340000 |
| 11 | aaa3790551910 |
| 12 | 3a5349a754600 |
| 13 | 1633b1accc2b0 |
| 14 | 87410d681368 |
| 15 | 3ec87b9e0000 |
| hex | 1f61f194a760 |
34505525340000 has 1200 divisors, whose sum is σ = 148979579086800. Its totient is φ = 7721464320000.
The previous prime is 34505525339981. The next prime is 34505525340029. The reversal of 34505525340000 is 4352550543.
34505525340000 is a `hidden beast` number, since 3 + 4 + 50 + 552 + 53 + 4 + 0 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1200).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 231585526 + ... + 231734474.
It is an arithmetic number, because the mean of its divisors is an integer number (124149649239).
Almost surely, 234505525340000 is an apocalyptic number.
34505525340000 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 34505525340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74489789543400).
34505525340000 is an abundant number, since it is smaller than the sum of its proper divisors (114474053746800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34505525340000 is a wasteful number, since it uses less digits than its factorization.
34505525340000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149015 (or 148983 counting only the distinct ones).
The product of its (nonzero) digits is 180000, while the sum is 36.
Adding to 34505525340000 its reverse (4352550543), we get a palindrome (34509877890543).
The spelling of 34505525340000 in words is "thirty-four trillion, five hundred five billion, five hundred twenty-five million, three hundred forty thousand".
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