| Base | Representation |
|---|---|
| bin | 110101010011011101… |
| … | …1010111011010000000 |
| 3 | 101221110120222210010200 |
| 4 | 1222212323113122000 |
| 5 | 3333413222324140 |
| 6 | 124330415325200 |
| 7 | 11161444436010 |
| oct | 1524673273200 |
| 9 | 357416883120 |
| 10 | 114469729920 |
| 11 | 446011a6387 |
| 12 | 1a227820800 |
| 13 | aa43535800 |
| 14 | 577ca8dc40 |
| 15 | 2e9e707030 |
| hex | 1aa6ed7680 |
114469729920 has 1152 divisors, whose sum is σ = 496885933440. Its totient is φ = 23773741056.
The previous prime is 114469729901. The next prime is 114469729921. The reversal of 114469729920 is 29927964411.
114469729920 is a `hidden beast` number, since 1 + 1 + 4 + 469 + 72 + 99 + 20 = 666.
114469729920 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 (1152).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (114469729921) 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 143 ways as a sum of consecutive naturals, for example, 729106482 + ... + 729106638.
It is an arithmetic number, because the mean of its divisors is an integer number (431324595).
Almost surely, 2114469729920 is an apocalyptic number.
114469729920 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 114469729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248442966720).
114469729920 is an abundant number, since it is smaller than the sum of its proper divisors (382416203520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114469729920 is a wasteful number, since it uses less digits than its factorization.
114469729920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 322 (or 294 counting only the distinct ones).
The product of its (nonzero) digits is 1959552, while the sum is 54.
The spelling of 114469729920 in words is "one hundred fourteen billion, four hundred sixty-nine million, seven hundred twenty-nine thousand, nine hundred twenty".
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