| Base | Representation |
|---|---|
| bin | 1101100110100111011010… |
| … | …11000000101001100000000 |
| 3 | 10220220202121111002201212000 |
| 4 | 12303103231120011030000 |
| 5 | 12410103121444342430 |
| 6 | 143342210325104000 |
| 7 | 6205140101043111 |
| oct | 663235530051400 |
| 9 | 126822544081760 |
| 10 | 29914134762240 |
| 11 | 9593571239043 |
| 12 | 3431687258000 |
| 13 | 138cb77133961 |
| 14 | 755bcd682208 |
| 15 | 36d206941e60 |
| hex | 1b34ed605300 |
29914134762240 has 576 divisors, whose sum is σ = 112585074094080. Its totient is φ = 7505173463040.
The previous prime is 29914134762229. The next prime is 29914134762241. The reversal of 29914134762240 is 4226743141992.
29914134762240 is a `hidden beast` number, since 2 + 9 + 9 + 1 + 4 + 1 + 3 + 4 + 7 + 622 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (29914134762241) by changing a digit.
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, 48179209 + ... + 48796151.
It is an arithmetic number, because the mean of its divisors is an integer number (195460198080).
Almost surely, 229914134762240 is an apocalyptic number.
29914134762240 is a gapful number since it is divisible by the number (20) 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 29914134762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56292537047040).
29914134762240 is an abundant number, since it is smaller than the sum of its proper divisors (82670939331840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29914134762240 is a wasteful number, since it uses less digits than its factorization.
29914134762240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 617057 (or 617037 counting only the distinct ones).
The product of its (nonzero) digits is 5225472, while the sum is 54.
The spelling of 29914134762240 in words is "twenty-nine trillion, nine hundred fourteen billion, one hundred thirty-four million, seven hundred sixty-two thousand, two hundred forty".
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