| Base | Representation |
|---|---|
| bin | 1011101011001000… |
| … | …0101111000000000 |
| 3 | 22002101121010021000 |
| 4 | 2322302011320000 |
| 5 | 22404211142230 |
| 6 | 1234541532000 |
| 7 | 140440645323 |
| oct | 27262057000 |
| 9 | 8071533230 |
| 10 | 3133693440 |
| 11 | 1368985299 |
| 12 | 735574000 |
| 13 | 3ac2c4197 |
| 14 | 21a2887ba |
| 15 | 1351a1b60 |
| hex | bac85e00 |
3133693440 has 160 divisors (see below), whose sum is σ = 11131385760. Its totient is φ = 835633152.
The previous prime is 3133693439. The next prime is 3133693441. The reversal of 3133693440 is 443963313.
It is an interprime number because it is at equal distance from previous prime (3133693439) and next prime (3133693441).
It is a tau number, because it is divible by the number of its divisors (160).
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 = 3133693395 and 3133693404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3133693441) 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 15 ways as a sum of consecutive naturals, for example, 46452 + ... + 91788.
It is an arithmetic number, because the mean of its divisors is an integer number (69571161).
Almost surely, 23133693440 is an apocalyptic number.
3133693440 is a gapful number since it is divisible by the number (30) 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 3133693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565692880).
3133693440 is an abundant number, since it is smaller than the sum of its proper divisors (7997692320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3133693440 is an equidigital number, since it uses as much as digits as its factorization.
3133693440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 45369 (or 45347 counting only the distinct ones).
The product of its (nonzero) digits is 69984, while the sum is 36.
The square root of 3133693440 is about 55979.4019260656. The cubic root of 3133693440 is about 1463.3633350993.
The spelling of 3133693440 in words is "three billion, one hundred thirty-three million, six hundred ninety-three thousand, four hundred forty".
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