| Base | Representation |
|---|---|
| bin | 110101001110100111… |
| … | …1010111010000000000 |
| 3 | 101221001021011102000000 |
| 4 | 1222131033113100000 |
| 5 | 3333100120400000 |
| 6 | 124302332000000 |
| 7 | 11154432111600 |
| oct | 1523517272000 |
| 9 | 357037142000 |
| 10 | 114307200000 |
| 11 | 44528486234 |
| 12 | 1a1a1300000 |
| 13 | aa1896a666 |
| 14 | 5765262c00 |
| 15 | 2e90300000 |
| hex | 1a9d3d7400 |
114307200000 has 1386 divisors, whose sum is σ = 498132754182. Its totient is φ = 26127360000.
The previous prime is 114307199989. The next prime is 114307200013. The reversal of 114307200000 is 2703411.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 3 ways, for example, as 52819070976 + 61488129024 = 229824^2 + 247968^2 .
It is a super-2 number, since 2×1143072000002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 125 ways as a sum of consecutive naturals, for example, 16329599997 + ... + 16329600003.
Almost surely, 2114307200000 is an apocalyptic number.
114307200000 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 114307200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249066377091).
114307200000 is an abundant number, since it is smaller than the sum of its proper divisors (383825554182).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114307200000 is an frugal number, since it uses more digits than its factorization.
114307200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 77 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
Adding to 114307200000 its reverse (2703411), we get a palindrome (114309903411).
The spelling of 114307200000 in words is "one hundred fourteen billion, three hundred seven million, two hundred thousand".
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