Base | Representation |
---|---|
bin | 1100110000001100011101… |
… | …0001111110111010000000 |
3 | 1211122111112102021101100000 |
4 | 3030003013101332322000 |
5 | 3314214243324243430 |
6 | 45453401011200000 |
7 | 2645031056551551 |
oct | 314030721767200 |
9 | 54574472241300 |
10 | 14022116634240 |
11 | 4516823314300 |
12 | 16a56b65a6000 |
13 | 7a9383cc1b80 |
14 | 3669618d0328 |
15 | 194b328b9e60 |
hex | cc0c747ee80 |
14022116634240 has 3456 divisors, whose sum is σ = 62816405783040. Its totient is φ = 2965977907200.
The previous prime is 14022116634181. The next prime is 14022116634247. The reversal of 14022116634240 is 4243661122041.
14022116634240 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 1 + 16 + 634 + 2 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 14022116634195 and 14022116634204.
It is not an unprimeable number, because it can be changed into a prime (14022116634247) by changing a digit.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 326095735659 + ... + 326095735701.
It is an arithmetic number, because the mean of its divisors is an integer number (18176043340).
Almost surely, 214022116634240 is an apocalyptic number.
14022116634240 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 14022116634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31408202891520).
14022116634240 is an abundant number, since it is smaller than the sum of its proper divisors (48794289148800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14022116634240 is a wasteful number, since it uses less digits than its factorization.
14022116634240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
Adding to 14022116634240 its reverse (4243661122041), we get a palindrome (18265777756281).
The spelling of 14022116634240 in words is "fourteen trillion, twenty-two billion, one hundred sixteen million, six hundred thirty-four thousand, two hundred forty".
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