| Base | Representation |
|---|---|
| bin | 11010000101011101… |
| … | …01111100001110000 |
| 3 | 1100010222211211210200 |
| 4 | 31002232233201300 |
| 5 | 212140114421230 |
| 6 | 10233351555200 |
| 7 | 1004020605330 |
| oct | 150256574160 |
| 9 | 40128754720 |
| 10 | 14004451440 |
| 11 | 5a37169711 |
| 12 | 286a08bb00 |
| 13 | 142250a075 |
| 14 | 96bd150c0 |
| 15 | 56e712160 |
| hex | 342baf870 |
14004451440 has 240 divisors, whose sum is σ = 54083347968. Its totient is φ = 3181192704.
The previous prime is 14004451427. The next prime is 14004451441. The reversal of 14004451440 is 4415440041.
14004451440 is a `hidden beast` number, since 140 + 0 + 4 + 4 + 514 + 4 + 0 = 666.
14004451440 is digitally balanced in base 2, 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 (240).
It is a super-2 number, since 2×140044514402 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14004451441) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 812997 + ... + 830043.
Almost surely, 214004451440 is an apocalyptic number.
14004451440 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 14004451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27041673984).
14004451440 is an abundant number, since it is smaller than the sum of its proper divisors (40078896528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14004451440 is a wasteful number, since it uses less digits than its factorization.
14004451440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17236 (or 17227 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 27.
Adding to 14004451440 its reverse (4415440041), we get a palindrome (18419891481).
The spelling of 14004451440 in words is "fourteen billion, four million, four hundred fifty-one thousand, four hundred forty".
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