Base | Representation |
---|---|
bin | 1001001101111001110001… |
… | …1111110010101100000000 |
3 | 1022212211210111002020100120 |
4 | 2103132130133302230000 |
5 | 2312020330034243130 |
6 | 33315411552420240 |
7 | 2064122126554521 |
oct | 223363437625400 |
9 | 38784714066316 |
10 | 10134453431040 |
11 | 3257aa7836874 |
12 | 117815bb47680 |
13 | 5868a0880043 |
14 | 27071dc60848 |
15 | 128948c46910 |
hex | 9379c7f2b00 |
10134453431040 has 144 divisors (see below), whose sum is σ = 32375928254208. Its totient is φ = 2701767979008.
The previous prime is 10134453431023. The next prime is 10134453431071. The reversal of 10134453431040 is 4013435443101.
10134453431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 10134453430992 and 10134453431010.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13485039 + ... + 14216721.
Almost surely, 210134453431040 is an apocalyptic number.
10134453431040 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 10134453431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187964127104).
10134453431040 is an abundant number, since it is smaller than the sum of its proper divisors (22241474823168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10134453431040 is an equidigital number, since it uses as much as digits as its factorization.
10134453431040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 735314 (or 735300 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 33.
Adding to 10134453431040 its reverse (4013435443101), we get a palindrome (14147888874141).
The spelling of 10134453431040 in words is "ten trillion, one hundred thirty-four billion, four hundred fifty-three million, four hundred thirty-one thousand, forty".
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