| Base | Representation |
|---|---|
| bin | 11001000000110011101010… |
| … | …100101101000000111100000 |
| 3 | 112102111112100202100002020000 |
| 4 | 121000303222211220013200 |
| 5 | 103404322043324223334 |
| 6 | 1025544204001420000 |
| 7 | 32112501020551413 |
| oct | 3100635245500740 |
| 9 | 472445322302200 |
| 10 | 110006638117344 |
| 11 | 3206260a393a91 |
| 12 | 1040803463a600 |
| 13 | 494c773620747 |
| 14 | 1d244c77b9b7a |
| 15 | cab7d2397299 |
| hex | 640cea9681e0 |
110006638117344 has 240 divisors, whose sum is σ = 324132344474400. Its totient is φ = 36600266658816.
The previous prime is 110006638117309. The next prime is 110006638117349. The reversal of 110006638117344 is 443711836600011.
It is a happy number.
110006638117344 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 6 + 638 + 1 + 1 + 7 + 3 + 4 + 4 = 666.
It is a super-2 number, since 2×1100066381173442 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 110006638117344.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (110006638117349) 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 39 ways as a sum of consecutive naturals, for example, 3530477637 + ... + 3530508795.
It is an arithmetic number, because the mean of its divisors is an integer number (1350551435310).
Almost surely, 2110006638117344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 110006638117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162066172237200).
110006638117344 is an abundant number, since it is smaller than the sum of its proper divisors (214125706357056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110006638117344 is a wasteful number, since it uses less digits than its factorization.
110006638117344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33687 (or 33670 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The spelling of 110006638117344 in words is "one hundred ten trillion, six billion, six hundred thirty-eight million, one hundred seventeen thousand, three hundred forty-four".
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