| Base | Representation |
|---|---|
| bin | 1000011110111110000… |
| … | …0001010110111000000 |
| 3 | 111221012201022021012000 |
| 4 | 2013233200022313000 |
| 5 | 4342000014432410 |
| 6 | 150542501304000 |
| 7 | 13346605323606 |
| oct | 2075740126700 |
| 9 | 457181267160 |
| 10 | 145752108480 |
| 11 | 568a42a1400 |
| 12 | 242b8105000 |
| 13 | 1098a4a5c94 |
| 14 | 70a954d876 |
| 15 | 3bd0bdedc0 |
| hex | 21ef80adc0 |
145752108480 has 1344 divisors, whose sum is σ = 612940608000. Its totient is φ = 32456540160.
The previous prime is 145752108449. The next prime is 145752108487. The reversal of 145752108480 is 84801257541.
145752108480 is a `hidden beast` number, since 1 + 45 + 7 + 521 + 0 + 8 + 4 + 80 = 666.
145752108480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145752108487) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 1048576251 + ... + 1048576389.
It is an arithmetic number, because the mean of its divisors is an integer number (456057000).
Almost surely, 2145752108480 is an apocalyptic number.
145752108480 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 145752108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306470304000).
145752108480 is an abundant number, since it is smaller than the sum of its proper divisors (467188499520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145752108480 is a wasteful number, since it uses less digits than its factorization.
145752108480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 263 (or 236 counting only the distinct ones).
The product of its (nonzero) digits is 358400, while the sum is 45.
The spelling of 145752108480 in words is "one hundred forty-five billion, seven hundred fifty-two million, one hundred eight thousand, four hundred eighty".
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