| Base | Representation |
|---|---|
| bin | 110101001001111001… |
| … | …0011010111100000000 |
| 3 | 101220122012202121101000 |
| 4 | 1222103302122330000 |
| 5 | 3332234021233414 |
| 6 | 124234505012000 |
| 7 | 11150465146422 |
| oct | 1522362327400 |
| 9 | 356565677330 |
| 10 | 114148617984 |
| 11 | 44456a12215 |
| 12 | 1a158184000 |
| 13 | a9c1b5544b |
| 14 | 574c182812 |
| 15 | 2e81427b09 |
| hex | 1a93c9af00 |
114148617984 has 144 divisors (see below), whose sum is σ = 337779993600. Its totient is φ = 38024469504.
The previous prime is 114148617937. The next prime is 114148617997. The reversal of 114148617984 is 489716841411.
114148617984 is a `hidden beast` number, since 1 + 1 + 4 + 14 + 8 + 617 + 9 + 8 + 4 = 666.
114148617984 is digitally balanced in base 3, 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 (54).
It is a self number, because there is not a number n which added to its sum of digits gives 114148617984.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12596047 + ... + 12605105.
It is an arithmetic number, because the mean of its divisors is an integer number (2345694400).
Almost surely, 2114148617984 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 114148617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168889996800).
114148617984 is an abundant number, since it is smaller than the sum of its proper divisors (223631375616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114148617984 is an equidigital number, since it uses as much as digits as its factorization.
114148617984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10907 (or 10887 counting only the distinct ones).
The product of its digits is 1548288, while the sum is 54.
The spelling of 114148617984 in words is "one hundred fourteen billion, one hundred forty-eight million, six hundred seventeen thousand, nine hundred eighty-four".
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