| Base | Representation |
|---|---|
| bin | 10100100011111000000111… |
| … | …10010010010111010000000 |
| 3 | 12221002100010112210200012200 |
| 4 | 22101330003302102322000 |
| 5 | 21411233100131210110 |
| 6 | 240054352230553200 |
| 7 | 12344354566002126 |
| oct | 1221740362227200 |
| 9 | 187070115720180 |
| 10 | 45213184241280 |
| 11 | 13451892887400 |
| 12 | 50a274bb08800 |
| 13 | 1c2c77b27a0a3 |
| 14 | b24488d4b916 |
| 15 | 5361730a96c0 |
| hex | 291f03c92e80 |
45213184241280 has 576 divisors, whose sum is σ = 175601480614560. Its totient is φ = 10705863168000.
The previous prime is 45213184241249. The next prime is 45213184241287. The reversal of 45213184241280 is 8214248131254.
45213184241280 is a `hidden beast` number, since 4 + 5 + 2 + 131 + 8 + 424 + 12 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a hoax number, since the sum of its digits (45) 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 (45).
It is not an unprimeable number, because it can be changed into a prime (45213184241287) 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 71 ways as a sum of consecutive naturals, for example, 29214955 + ... + 30723605.
Almost surely, 245213184241280 is an apocalyptic number.
45213184241280 is a gapful number since it is divisible by the number (40) 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 45213184241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87800740307280).
45213184241280 is an abundant number, since it is smaller than the sum of its proper divisors (130388296373280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45213184241280 is a wasteful number, since it uses less digits than its factorization.
45213184241280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1508741 (or 1508715 counting only the distinct ones).
The product of its (nonzero) digits is 491520, while the sum is 45.
The spelling of 45213184241280 in words is "forty-five trillion, two hundred thirteen billion, one hundred eighty-four million, two hundred forty-one thousand, two hundred eighty".
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