| Base | Representation |
|---|---|
| bin | 10000011011100100000… |
| … | …001111001010000000000 |
| 3 | 10222221102102021100110000 |
| 4 | 100123210001321100000 |
| 5 | 121444402411232230 |
| 6 | 2222412112240000 |
| 7 | 144401220164616 |
| oct | 20334401712000 |
| 9 | 3887372240400 |
| 10 | 1129107133440 |
| 11 | 3a59405a5180 |
| 12 | 1629b3840000 |
| 13 | 826221a3860 |
| 14 | 3c9130d16b6 |
| 15 | 1e58600bb60 |
| hex | 106e4079400 |
1129107133440 has 1760 divisors, whose sum is σ = 4833582082560. Its totient is φ = 248433868800.
The previous prime is 1129107133433. The next prime is 1129107133459. The reversal of 1129107133440 is 443317019211.
It is a happy number.
1129107133440 is a `hidden beast` number, since 11 + 291 + 0 + 7 + 13 + 344 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1760).
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 = 1129107133395 and 1129107133404.
It is a congruent number.
It is an unprimeable number.
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 159 ways as a sum of consecutive naturals, for example, 4685091720 + ... + 4685091960.
It is an arithmetic number, because the mean of its divisors is an integer number (2746353456).
Almost surely, 21129107133440 is an apocalyptic number.
1129107133440 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 1129107133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416791041280).
1129107133440 is an abundant number, since it is smaller than the sum of its proper divisors (3704474949120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1129107133440 is a wasteful number, since it uses less digits than its factorization.
1129107133440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 381 (or 354 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The spelling of 1129107133440 in words is "one trillion, one hundred twenty-nine billion, one hundred seven million, one hundred thirty-three thousand, four hundred forty".
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