Base | Representation |
---|---|
bin | 10001001100010011… |
… | …01010010100000000 |
3 | 212211020212122122000 |
4 | 20212021222110000 |
5 | 122400340021113 |
6 | 4123514544000 |
7 | 444504501045 |
oct | 104611522400 |
9 | 25736778560 |
10 | 9230001408 |
11 | 3a07105741 |
12 | 1957138000 |
13 | b413100c4 |
14 | 637ba71cc |
15 | 3904b0373 |
hex | 22626a500 |
9230001408 has 144 divisors (see below), whose sum is σ = 27547396800. Its totient is φ = 3048192000.
The previous prime is 9230001397. The next prime is 9230001427. The reversal of 9230001408 is 8041000329.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747283 + ... + 759533.
Almost surely, 29230001408 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9230001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773698400).
9230001408 is an abundant number, since it is smaller than the sum of its proper divisors (18317395392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9230001408 is a wasteful number, since it uses less digits than its factorization.
9230001408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12385 (or 12365 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 9230001408 is about 96072.8963235730. The cubic root of 9230001408 is about 2097.6543278296.
The spelling of 9230001408 in words is "nine billion, two hundred thirty million, one thousand, four hundred eight".
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