| Base | Representation |
|---|---|
| bin | 1000110000001101100… |
| … | …1001110100010000000 |
| 3 | 112101011022000011110000 |
| 4 | 2030003121032202000 |
| 5 | 4430434441101003 |
| 6 | 153030050240000 |
| 7 | 13602401465466 |
| oct | 2140331164200 |
| 9 | 471138004400 |
| 10 | 150380800128 |
| 11 | 5885a04a9a9 |
| 12 | 2518a286000 |
| 13 | 1124742a890 |
| 14 | 73c8198836 |
| 15 | 3da224e1a3 |
| hex | 230364e880 |
150380800128 has 640 divisors, whose sum is σ = 505923264000. Its totient is φ = 44019376128.
The previous prime is 150380800121. The next prime is 150380800151. The reversal of 150380800128 is 821008083051.
150380800128 is a `hidden beast` number, since 150 + 380 + 8 + 0 + 0 + 128 = 666.
It is a super-2 number, since 2×1503808001282 (a number of 23 digits) contains 22 as substring.
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 = 150380800092 and 150380800101.
It is not an unprimeable number, because it can be changed into a prime (150380800121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 308789901 + ... + 308790387.
It is an arithmetic number, because the mean of its divisors is an integer number (790505100).
Almost surely, 2150380800128 is an apocalyptic number.
150380800128 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 150380800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252961632000).
150380800128 is an abundant number, since it is smaller than the sum of its proper divisors (355542463872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
150380800128 is a wasteful number, since it uses less digits than its factorization.
150380800128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 634 (or 613 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 36.
Adding to 150380800128 its reverse (821008083051), we get a palindrome (971388883179).
The spelling of 150380800128 in words is "one hundred fifty billion, three hundred eighty million, eight hundred thousand, one hundred twenty-eight".
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