Base | Representation |
---|---|
bin | 1101000110100011100100… |
… | …0101000100000000000000 |
3 | 1220000020010021112200100000 |
4 | 3101220321011010000000 |
5 | 3342013024123023300 |
6 | 50350052553200000 |
7 | 3014550666015240 |
oct | 321507105040000 |
9 | 56006107480300 |
10 | 14406277939200 |
11 | 4654739364694 |
12 | 1748049400000 |
13 | 8066771036c4 |
14 | 37b3a630db20 |
15 | 19eb18a31c00 |
hex | d1a39144000 |
14406277939200 has 4320 divisors, whose sum is σ = 68150998056960. Its totient is φ = 2942985830400.
The previous prime is 14406277939133. The next prime is 14406277939201. The reversal of 14406277939200 is 293977260441.
14406277939200 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 627 + 7 + 9 + 3 + 9 + 2 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (4320).
It is a super-2 number, since 2×144062779392002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14406277939201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 464718643185 + ... + 464718643215.
Almost surely, 214406277939200 is an apocalyptic number.
14406277939200 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 14406277939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34075499028480).
14406277939200 is an abundant number, since it is smaller than the sum of its proper divisors (53744720117760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14406277939200 is an equidigital number, since it uses as much as digits as its factorization.
14406277939200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 143 (or 100 counting only the distinct ones).
The product of its (nonzero) digits is 4572288, while the sum is 54.
The spelling of 14406277939200 in words is "fourteen trillion, four hundred six billion, two hundred seventy-seven million, nine hundred thirty-nine thousand, two hundred".
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