| Base | Representation |
|---|---|
| bin | 11000001100110101000001… |
| … | …011011000101011010100000 |
| 3 | 111221212001112000001210210100 |
| 4 | 120030311001123011122200 |
| 5 | 102422311212114300110 |
| 6 | 1014211230141302400 |
| 7 | 31263436434215535 |
| oct | 3014650133053240 |
| 9 | 457761460053710 |
| 10 | 106434682181280 |
| 11 | 30a05771388062 |
| 12 | bb2b907864a00 |
| 13 | 475099423b61b |
| 14 | 1c3d674dbcd8c |
| 15 | c48924d52bc0 |
| hex | 60cd416c56a0 |
106434682181280 has 288 divisors, whose sum is σ = 373337007498000. Its totient is φ = 27595813109760.
The previous prime is 106434682181279. The next prime is 106434682181339. The reversal of 106434682181280 is 82181286434601.
106434682181280 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 468 + 21 + 81 + 2 + 80 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 68534356988304 + 37900325192976 = 8278548^2 + 6156324^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1064346821812802 (a number of 29 digits) contains 22 as substring.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 14222346 + ... + 20375094.
Almost surely, 2106434682181280 is an apocalyptic number.
106434682181280 is a gapful number since it is divisible by the number (10) 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 106434682181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186668503749000).
106434682181280 is an abundant number, since it is smaller than the sum of its proper divisors (266902325316720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106434682181280 is a wasteful number, since it uses less digits than its factorization.
106434682181280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6153104 (or 6153093 counting only the distinct ones).
The product of its (nonzero) digits is 3538944, while the sum is 54.
The spelling of 106434682181280 in words is "one hundred six trillion, four hundred thirty-four billion, six hundred eighty-two million, one hundred eighty-one thousand, two hundred eighty".
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