| Base | Representation |
|---|---|
| bin | 1001010010100011010110… |
| … | …0110111110100101000000 |
| 3 | 1100011110222100000200122000 |
| 4 | 2110220311212332211000 |
| 5 | 2314322422344441003 |
| 6 | 33420222115544000 |
| 7 | 2102650442255550 |
| oct | 224506546764500 |
| 9 | 40143870020560 |
| 10 | 10214331640128 |
| 11 | 3288967a18600 |
| 12 | 118b732bbb000 |
| 13 | 5912906b1a15 |
| 14 | 27453a775160 |
| 15 | 12aa716a91a3 |
| hex | 94a359be940 |
10214331640128 has 672 divisors, whose sum is σ = 39706876339200. Its totient is φ = 2513430881280.
The previous prime is 10214331640091. The next prime is 10214331640193. The reversal of 10214331640128 is 82104613341201.
10214331640128 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 3 + 3 + 1 + 640 + 1 + 2 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10214331640092 and 10214331640101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27625051 + ... + 27992357.
It is an arithmetic number, because the mean of its divisors is an integer number (59087613600).
Almost surely, 210214331640128 is an apocalyptic number.
10214331640128 is a gapful number since it is divisible by the number (18) 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 10214331640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19853438169600).
10214331640128 is an abundant number, since it is smaller than the sum of its proper divisors (29492544699072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10214331640128 is a wasteful number, since it uses less digits than its factorization.
10214331640128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 367376 (or 367349 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
Adding to 10214331640128 its reverse (82104613341201), we get a palindrome (92318944981329).
The spelling of 10214331640128 in words is "ten trillion, two hundred fourteen billion, three hundred thirty-one million, six hundred forty thousand, one hundred twenty-eight".
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