| Base | Representation |
|---|---|
| bin | 11110010101101011010010… |
| … | …001010101110111001000000 |
| 3 | 122111102212200102021100111200 |
| 4 | 132111223102022232321000 |
| 5 | 114442113121342441100 |
| 6 | 1151441202423341200 |
| 7 | 40051033034002551 |
| oct | 3625532212567100 |
| 9 | 574385612240450 |
| 10 | 133430980046400 |
| 11 | 39573840774733 |
| 12 | 12b6b9992b1800 |
| 13 | 595b644b5a40a |
| 14 | 24d41458d8328 |
| 15 | 1065ca539de00 |
| hex | 795ad22aee40 |
133430980046400 has 504 divisors, whose sum is σ = 503148741732000. Its totient is φ = 33421417758720.
The previous prime is 133430980046389. The next prime is 133430980046401. The reversal of 133430980046400 is 4640089034331.
133430980046400 is a `hidden beast` number, since 1 + 334 + 309 + 8 + 0 + 0 + 4 + 6 + 4 + 0 + 0 = 666.
It is a super-2 number, since 2×1334309800464002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (133430980046401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121609047 + ... + 122701353.
It is an arithmetic number, because the mean of its divisors is an integer number (998310995500).
Almost surely, 2133430980046400 is an apocalyptic number.
133430980046400 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 133430980046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251574370866000).
133430980046400 is an abundant number, since it is smaller than the sum of its proper divisors (369717761685600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133430980046400 is a wasteful number, since it uses less digits than its factorization.
133430980046400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1092851 (or 1092833 counting only the distinct ones).
The product of its (nonzero) digits is 746496, while the sum is 45.
The spelling of 133430980046400 in words is "one hundred thirty-three trillion, four hundred thirty billion, nine hundred eighty million, forty-six thousand, four hundred".
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