| Base | Representation |
|---|---|
| bin | 1001010001110001110101… |
| … | …1000001011000100001000 |
| 3 | 1100010012200000211210000100 |
| 4 | 2110130131120023010020 |
| 5 | 2314113212243012130 |
| 6 | 33410143154205400 |
| 7 | 2102000200030200 |
| oct | 224343530130410 |
| 9 | 40105600753010 |
| 10 | 10201040204040 |
| 11 | 3283267288984 |
| 12 | 1189043883860 |
| 13 | 58cc52b2023a |
| 14 | 273a39425400 |
| 15 | 12a54488ac60 |
| hex | 9471d60b108 |
10201040204040 has 576 divisors, whose sum is σ = 39327617450160. Its totient is φ = 2285706608640.
The previous prime is 10201040204039. The next prime is 10201040204071. The reversal of 10201040204040 is 4040204010201.
10201040204040 is a `hidden beast` number, since 1 + 0 + 201 + 0 + 40 + 20 + 404 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 4110618381156 + 6090421822884 = 2027466^2 + 2467878^2 .
It is a super-2 number, since 2×102010402040402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1272422112 + ... + 1272430128.
Almost surely, 210201040204040 is an apocalyptic number.
10201040204040 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 10201040204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663808725080).
10201040204040 is an abundant number, since it is smaller than the sum of its proper divisors (29126577246120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10201040204040 is a wasteful number, since it uses less digits than its factorization.
10201040204040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9462 (or 9448 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 10201040204040 its reverse (4040204010201), we get a palindrome (14241244214241).
The spelling of 10201040204040 in words is "ten trillion, two hundred one billion, forty million, two hundred four thousand, forty".
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