| Base | Representation |
|---|---|
| bin | 111011111111011011… |
| … | …1111111010000000000 |
| 3 | 110022112101122021101000 |
| 4 | 1313332313333100000 |
| 5 | 4102321004011230 |
| 6 | 135103405012000 |
| 7 | 12210350064000 |
| oct | 1677667772000 |
| 9 | 408471567330 |
| 10 | 128830141440 |
| 11 | 4a700290080 |
| 12 | 20b74b54000 |
| 13 | c1c1704830 |
| 14 | 6341d84000 |
| 15 | 35402cdb60 |
| hex | 1dfedff400 |
128830141440 has 2816 divisors, whose sum is σ = 660280320000. Its totient is φ = 23410114560.
The previous prime is 128830141417. The next prime is 128830141463. The reversal of 128830141440 is 44141038821.
It is a happy number.
128830141440 is a `hidden beast` number, since 128 + 83 + 0 + 1 + 414 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (128830141417) and next prime (128830141463).
It is a tau number, because it is divible by the number of its divisors (2816).
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 = 128830141395 and 128830141404.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6780533751 + ... + 6780533769.
Almost surely, 2128830141440 is an apocalyptic number.
128830141440 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 128830141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330140160000).
128830141440 is an abundant number, since it is smaller than the sum of its proper divisors (531450178560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128830141440 is a wasteful number, since it uses less digits than its factorization.
128830141440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 98 (or 60 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The spelling of 128830141440 in words is "one hundred twenty-eight billion, eight hundred thirty million, one hundred forty-one thousand, four hundred forty".
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