Base | Representation |
---|---|
bin | 10011011110100111… |
… | …11001111001010000 |
3 | 222222210111011010021 |
4 | 21233103321321100 |
5 | 132404100022230 |
6 | 4445402513224 |
7 | 520100426662 |
oct | 115723717120 |
9 | 28883434107 |
10 | 10457423440 |
11 | 4486a41012 |
12 | 203a205814 |
13 | ca86b6029 |
14 | 712bd4532 |
15 | 413115c7a |
hex | 26f4f9e50 |
10457423440 has 80 divisors (see below), whose sum is σ = 25239098880. Its totient is φ = 4025249280.
The previous prime is 10457423419. The next prime is 10457423441. The reversal of 10457423440 is 4432475401.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×104574234402 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10457423396 and 10457423405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10457423441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432142 + ... + 455698.
It is an arithmetic number, because the mean of its divisors is an integer number (315488736).
Almost surely, 210457423440 is an apocalyptic number.
10457423440 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 10457423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619549440).
10457423440 is an abundant number, since it is smaller than the sum of its proper divisors (14781675440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10457423440 is a wasteful number, since it uses less digits than its factorization.
10457423440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23780 (or 23774 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 34.
Adding to 10457423440 its reverse (4432475401), we get a palindrome (14889898841).
The spelling of 10457423440 in words is "ten billion, four hundred fifty-seven million, four hundred twenty-three thousand, four hundred forty".
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