| Base | Representation |
|---|---|
| bin | 111101111111000100… |
| … | …1101100000010110000 |
| 3 | 110201120212112120122100 |
| 4 | 1323332021230002300 |
| 5 | 4140103410041230 |
| 6 | 141052400540400 |
| 7 | 12421443405561 |
| oct | 1737611540260 |
| 9 | 421525476570 |
| 10 | 133112971440 |
| 11 | 514a88906a9 |
| 12 | 2196b321700 |
| 13 | c724ac1a77 |
| 14 | 662aabc168 |
| 15 | 36e12c0660 |
| hex | 1efe26c0b0 |
133112971440 has 240 divisors, whose sum is σ = 459670891680. Its totient is φ = 34500218880.
The previous prime is 133112971423. The next prime is 133112971441. The reversal of 133112971440 is 44179211331.
It is a happy number.
133112971440 is a `hidden beast` number, since 1 + 3 + 311 + 297 + 14 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
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 = 133112971395 and 133112971404.
It is not an unprimeable number, because it can be changed into a prime (133112971441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7932499 + ... + 7949261.
It is an arithmetic number, because the mean of its divisors is an integer number (1915295382).
Almost surely, 2133112971440 is an apocalyptic number.
133112971440 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 133112971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229835445840).
133112971440 is an abundant number, since it is smaller than the sum of its proper divisors (326557920240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133112971440 is a wasteful number, since it uses less digits than its factorization.
133112971440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17092 (or 17083 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The spelling of 133112971440 in words is "one hundred thirty-three billion, one hundred twelve million, nine hundred seventy-one thousand, four hundred forty".
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