| Base | Representation |
|---|---|
| bin | 1001010001111101000000… |
| … | …1011111100011011101000 |
| 3 | 1100010111102002201022010100 |
| 4 | 2110133100023330123220 |
| 5 | 2314140333232320130 |
| 6 | 33411401000545400 |
| 7 | 2102134424633034 |
| oct | 224372013743350 |
| 9 | 40114362638110 |
| 10 | 10204040120040 |
| 11 | 32845666a11a8 |
| 12 | 1189740482260 |
| 13 | 5903104a5470 |
| 14 | 273c41a091c4 |
| 15 | 12a66ce14c60 |
| hex | 947d02fc6e8 |
10204040120040 has 768 divisors, whose sum is σ = 40192305753600. Its totient is φ = 2217813737472.
The previous prime is 10204040120017. The next prime is 10204040120081. The reversal of 10204040120040 is 4002104040201.
10204040120040 is a `hidden beast` number, since 1 + 0 + 20 + 4 + 0 + 401 + 200 + 40 = 666.
10204040120040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10204040119995 and 10204040120022.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155666152 + ... + 155731688.
It is an arithmetic number, because the mean of its divisors is an integer number (52333731450).
Almost surely, 210204040120040 is an apocalyptic number.
10204040120040 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 10204040120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20096152876800).
10204040120040 is an abundant number, since it is smaller than the sum of its proper divisors (29988265633560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10204040120040 is a wasteful number, since it uses less digits than its factorization.
10204040120040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 65706 (or 65699 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 10204040120040 its reverse (4002104040201), we get a palindrome (14206144160241).
The spelling of 10204040120040 in words is "ten trillion, two hundred four billion, forty million, one hundred twenty thousand, forty".
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