Base | Representation |
---|---|
bin | 1001001110010110010110… |
… | …1001110000100011010000 |
3 | 1022220120121000011110120001 |
4 | 2103211211221300203100 |
5 | 2312132032021401230 |
6 | 33323121015055344 |
7 | 2064513161025604 |
oct | 223454551604320 |
9 | 38816530143501 |
10 | 10142123231440 |
11 | 3260283183392 |
12 | 1179740671554 |
13 | 587523880585 |
14 | 270c4a733504 |
15 | 128c4726a0ca |
hex | 93965a708d0 |
10142123231440 has 20 divisors (see below), whose sum is σ = 23580436513284. Its totient is φ = 4056849292544.
The previous prime is 10142123231413. The next prime is 10142123231477. The reversal of 10142123231440 is 4413232124101.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 2154061099584 + 7988062131856 = 1467672^2 + 2826316^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is a junction number, because it is equal to n+sod(n) for n = 10142123231399 and 10142123231408.
It is a congruent number.
It is an unprimeable number.
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 3 ways as a sum of consecutive naturals, for example, 63388270117 + ... + 63388270276.
Almost surely, 210142123231440 is an apocalyptic number.
10142123231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10142123231440 is an abundant number, since it is smaller than the sum of its proper divisors (13438313281844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10142123231440 is a wasteful number, since it uses less digits than its factorization.
10142123231440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126776540406 (or 126776540400 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 28.
Adding to 10142123231440 its reverse (4413232124101), we get a palindrome (14555355355541).
The spelling of 10142123231440 in words is "ten trillion, one hundred forty-two billion, one hundred twenty-three million, two hundred thirty-one thousand, four hundred forty".
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