Base | Representation |
---|---|
bin | 111110100001010001… |
… | …0100100110010100000 |
3 | 110211112211112020200000 |
4 | 1331002202210302200 |
5 | 4144431122033031 |
6 | 141402305100000 |
7 | 12462045053136 |
oct | 1750242446240 |
9 | 424484466600 |
10 | 134260346016 |
11 | 51a37513155 |
12 | 2202b627600 |
13 | c87871bb34 |
14 | 66d922d756 |
15 | 375bdb33e6 |
hex | 1f428a4ca0 |
134260346016 has 144 divisors (see below), whose sum is σ = 409597624800. Its totient is φ = 43210153728.
The previous prime is 134260346009. The next prime is 134260346071. The reversal of 134260346016 is 610643062431.
134260346016 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 603 + 46 + 0 + 1 + 6 = 666.
134260346016 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72186 + ... + 523193.
It is an arithmetic number, because the mean of its divisors is an integer number (2844427950).
Almost surely, 2134260346016 is an apocalyptic number.
134260346016 is a gapful number since it is divisible by the number (16) 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 134260346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204798812400).
134260346016 is an abundant number, since it is smaller than the sum of its proper divisors (275337278784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134260346016 is an equidigital number, since it uses as much as digits as its factorization.
134260346016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 595433 (or 595413 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The spelling of 134260346016 in words is "one hundred thirty-four billion, two hundred sixty million, three hundred forty-six thousand, sixteen".
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