| Base | Representation |
|---|---|
| bin | 1000011111011100110… |
| … | …0110010000000000000 |
| 3 | 111221112201022000100000 |
| 4 | 2013313030302000000 |
| 5 | 4342231044244043 |
| 6 | 151003353200000 |
| 7 | 13353034053150 |
| oct | 2076714620000 |
| 9 | 457481260300 |
| 10 | 145881243648 |
| 11 | 56960182588 |
| 12 | 24333400000 |
| 13 | 109ab17ac1a |
| 14 | 70bc766760 |
| 15 | 3bdc1ec2d3 |
| hex | 21f7332000 |
145881243648 has 1008 divisors, whose sum is σ = 545294393280. Its totient is φ = 38125043712.
The previous prime is 145881243647. The next prime is 145881243679. The reversal of 145881243648 is 846342188541.
145881243648 is a `hidden beast` number, since 1 + 4 + 588 + 1 + 24 + 36 + 4 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (54).
Its product of digits (5898240) is a multiple of the sum of its prime divisors (60).
It is a junction number, because it is equal to n+sod(n) for n = 145881243594 and 145881243603.
It is not an unprimeable number, because it can be changed into a prime (145881243643) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5030387698 + ... + 5030387726.
It is an arithmetic number, because the mean of its divisors is an integer number (540966660).
Almost surely, 2145881243648 is an apocalyptic number.
145881243648 is a gapful number since it is divisible by the number (18) 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 145881243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272647196640).
145881243648 is an abundant number, since it is smaller than the sum of its proper divisors (399413149632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145881243648 is an frugal number, since it uses more digits than its factorization.
145881243648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 115 (or 60 counting only the distinct ones).
The product of its digits is 5898240, while the sum is 54.
The spelling of 145881243648 in words is "one hundred forty-five billion, eight hundred eighty-one million, two hundred forty-three thousand, six hundred forty-eight".
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