| Base | Representation |
|---|---|
| bin | 111110011101101100… |
| … | …1000010101010000000 |
| 3 | 110211020110211200110000 |
| 4 | 1330323121002222000 |
| 5 | 4144204421001100 |
| 6 | 141342342240000 |
| 7 | 12456060433020 |
| oct | 1747331025200 |
| 9 | 424213750400 |
| 10 | 134140406400 |
| 11 | 51985842800 |
| 12 | 21bb7426000 |
| 13 | c859916550 |
| 14 | 66c732ba80 |
| 15 | 37515c0900 |
| hex | 1f3b642a80 |
134140406400 has 2880 divisors, whose sum is σ = 683908727040. Its totient is φ = 25181798400.
The previous prime is 134140406399. The next prime is 134140406417. The reversal of 134140406400 is 4604041431.
134140406400 is a `hidden beast` number, since 1 + 3 + 4 + 14 + 0 + 4 + 0 + 640 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-3 number, since 3×1341404064003 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2854051177 + ... + 2854051223.
It is an arithmetic number, because the mean of its divisors is an integer number (237468308).
Almost surely, 2134140406400 is an apocalyptic number.
134140406400 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 134140406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341954363520).
134140406400 is an abundant number, since it is smaller than the sum of its proper divisors (549768320640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134140406400 is a wasteful number, since it uses less digits than its factorization.
134140406400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 125 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 134140406400 its reverse (4604041431), we get a palindrome (138744447831).
The spelling of 134140406400 in words is "one hundred thirty-four billion, one hundred forty million, four hundred six thousand, four hundred".
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