| Base | Representation |
|---|---|
| bin | 11000001010000001111101… |
| … | …111100100100101010000000 |
| 3 | 111221011200021012111112201200 |
| 4 | 120022001331330210222000 |
| 5 | 102411133441030032030 |
| 6 | 1013543032410501200 |
| 7 | 31243522211203203 |
| oct | 3012017574445200 |
| 9 | 457150235445650 |
| 10 | 106242424064640 |
| 11 | 30941182717476 |
| 12 | baba5b0a34800 |
| 13 | 4738804b3a626 |
| 14 | 1c342371b593a |
| 15 | c439213ded60 |
| hex | 60a07df24a80 |
106242424064640 has 192 divisors, whose sum is σ = 366941858400000. Its totient is φ = 28325638010880.
The previous prime is 106242424064629. The next prime is 106242424064657. The reversal of 106242424064640 is 46460424242601.
106242424064640 is a `hidden beast` number, since 10 + 62 + 42 + 42 + 40 + 6 + 464 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×1062424240646402 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 23 ways as a sum of consecutive naturals, for example, 26949385 + ... + 30639095.
It is an arithmetic number, because the mean of its divisors is an integer number (1911155512500).
Almost surely, 2106242424064640 is an apocalyptic number.
106242424064640 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 106242424064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183470929200000).
106242424064640 is an abundant number, since it is smaller than the sum of its proper divisors (260699434335360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106242424064640 is a wasteful number, since it uses less digits than its factorization.
106242424064640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3694735 (or 3694720 counting only the distinct ones).
The product of its (nonzero) digits is 1769472, while the sum is 45.
The spelling of 106242424064640 in words is "one hundred six trillion, two hundred forty-two billion, four hundred twenty-four million, sixty-four thousand, six hundred forty".
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