| Base | Representation |
|---|---|
| bin | 11010000101011011… |
| … | …00100011110000000 |
| 3 | 1100010222021020002000 |
| 4 | 31002231210132000 |
| 5 | 212140030102000 |
| 6 | 10233341224000 |
| 7 | 1004015155110 |
| oct | 150255443600 |
| 9 | 40128236060 |
| 10 | 14004144000 |
| 11 | 5a36a79730 |
| 12 | 2869b62000 |
| 13 | 1422430152 |
| 14 | 96bc75040 |
| 15 | 56e6a1000 |
| hex | 342b64780 |
14004144000 has 1024 divisors, whose sum is σ = 64462694400. Its totient is φ = 2903040000.
The previous prime is 14004143999. The next prime is 14004144001. The reversal of 14004144000 is 44140041.
It is an interprime number because it is at equal distance from previous prime (14004143999) and next prime (14004144001).
It is a super-2 number, since 2×140041440002 (a number of 21 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 not an unprimeable number, because it can be changed into a prime (14004144001) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33263790 + ... + 33264210.
It is an arithmetic number, because the mean of its divisors is an integer number (62951850).
Almost surely, 214004144000 is an apocalyptic number.
14004144000 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 14004144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32231347200).
14004144000 is an abundant number, since it is smaller than the sum of its proper divisors (50458550400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14004144000 is a wasteful number, since it uses less digits than its factorization.
14004144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 477 (or 449 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 14004144000 its reverse (44140041), we get a palindrome (14048284041).
It can be divided in two parts, 140041 and 44000, that added together give a square (184041 = 4292).
The spelling of 14004144000 in words is "fourteen billion, four million, one hundred forty-four thousand".
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