| Base | Representation |
|---|---|
| bin | 11010000110000111011010… |
| … | …010000101101000000000000 |
| 3 | 120001100212002121010100101200 |
| 4 | 122012013122100231000000 |
| 5 | 110020340400112200003 |
| 6 | 1044032212251301200 |
| 7 | 33113551530510000 |
| oct | 3206073220550000 |
| 9 | 501325077110350 |
| 10 | 114769482928128 |
| 11 | 336295120957a6 |
| 12 | 10a5711774a800 |
| 13 | 4c0693c7cc982 |
| 14 | 204ac30640000 |
| 15 | d4063e7996a3 |
| hex | 6861da42d000 |
114769482928128 has 1560 divisors, whose sum is σ = 407194957426920. Its totient is φ = 31099036631040.
The previous prime is 114769482928117. The next prime is 114769482928159. The reversal of 114769482928128 is 821829284967411.
114769482928128 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 69 + 482 + 9 + 2 + 81 + 2 + 8 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 19220578320384 + 95548904607744 = 4384128^2 + 9774912^2 .
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 156575010450 + ... + 156575011182.
It is an arithmetic number, because the mean of its divisors is an integer number (261022408607).
Almost surely, 2114769482928128 is an apocalyptic number.
114769482928128 is a gapful number since it is divisible by the number (18) 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 114769482928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203597478713460).
114769482928128 is an abundant number, since it is smaller than the sum of its proper divisors (292425474498792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114769482928128 is an frugal number, since it uses more digits than its factorization.
114769482928128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 881 (or 835 counting only the distinct ones).
The product of its digits is 222953472, while the sum is 72.
The spelling of 114769482928128 in words is "one hundred fourteen trillion, seven hundred sixty-nine billion, four hundred eighty-two million, nine hundred twenty-eight thousand, one hundred twenty-eight".
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