| Base | Representation |
|---|---|
| bin | 111110011010110001… |
| … | …0001010101000000000 |
| 3 | 110210222121220222111000 |
| 4 | 1330311202022220000 |
| 5 | 4144004241310130 |
| 6 | 141324512052000 |
| 7 | 12453455230422 |
| oct | 1746542125000 |
| 9 | 423877828430 |
| 10 | 134042135040 |
| 11 | 51935322000 |
| 12 | 21b8a534000 |
| 13 | c842459808 |
| 14 | 66b826a812 |
| 15 | 3747b5d260 |
| hex | 1f3588aa00 |
134042135040 has 1280 divisors, whose sum is σ = 552101806080. Its totient is φ = 30777753600.
The previous prime is 134042135039. The next prime is 134042135083. The reversal of 134042135040 is 40531240431.
It is a happy number.
134042135040 is a `hidden beast` number, since 1 + 3 + 404 + 213 + 5 + 0 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1280).
It is a super-3 number, since 3×1340421350403 (a number of 34 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 134042134995 and 134042135013.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2851960297 + ... + 2851960343.
It is an arithmetic number, because the mean of its divisors is an integer number (431329536).
Almost surely, 2134042135040 is an apocalyptic number.
134042135040 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 134042135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276050903040).
134042135040 is an abundant number, since it is smaller than the sum of its proper divisors (418059671040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134042135040 is an equidigital number, since it uses as much as digits as its factorization.
134042135040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 143 (or 99 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
Adding to 134042135040 its reverse (40531240431), we get a palindrome (174573375471).
The spelling of 134042135040 in words is "one hundred thirty-four billion, forty-two million, one hundred thirty-five thousand, forty".
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