| Base | Representation |
|---|---|
| bin | 11010000110000100… |
| … | …10101100011010000 |
| 3 | 1100011100111210201200 |
| 4 | 31003002111203100 |
| 5 | 212142423303140 |
| 6 | 10234054031200 |
| 7 | 1004112350436 |
| oct | 150302254320 |
| 9 | 40140453650 |
| 10 | 14009587920 |
| 11 | 5a3a057839 |
| 12 | 286b948500 |
| 13 | 14235b7cc3 |
| 14 | 96c890d56 |
| 15 | 56edc9030 |
| hex | 3430958d0 |
14009587920 has 120 divisors (see below), whose sum is σ = 47364993000. Its totient is φ = 3710788608.
The previous prime is 14009587883. The next prime is 14009587957. The reversal of 14009587920 is 2978590041.
14009587920 is a `hidden beast` number, since 1 + 40 + 0 + 9 + 587 + 9 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (14009587883) and next prime (14009587957).
It can be written as a sum of positive squares in 4 ways, for example, as 26998416 + 13982589504 = 5196^2 + 118248^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 41986 + ... + 172574.
It is an arithmetic number, because the mean of its divisors is an integer number (394708275).
Almost surely, 214009587920 is an apocalyptic number.
14009587920 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 14009587920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23682496500).
14009587920 is an abundant number, since it is smaller than the sum of its proper divisors (33355405080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14009587920 is a wasteful number, since it uses less digits than its factorization.
14009587920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130757 (or 130748 counting only the distinct ones).
The product of its (nonzero) digits is 181440, while the sum is 45.
The spelling of 14009587920 in words is "fourteen billion, nine million, five hundred eighty-seven thousand, nine hundred twenty".
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