| Base | Representation |
|---|---|
| bin | 1000011100101110101… |
| … | …1001111011110000000 |
| 3 | 111212122211021101010100 |
| 4 | 2013023223033132000 |
| 5 | 4334232130444133 |
| 6 | 150403110202400 |
| 7 | 13325656256613 |
| oct | 2071353173600 |
| 9 | 455584241110 |
| 10 | 145151031168 |
| 11 | 56615a780a0 |
| 12 | 2416a953400 |
| 13 | 108c2ac0c30 |
| 14 | 704d7a617a |
| 15 | 3b9805ce13 |
| hex | 21cbacf780 |
145151031168 has 768 divisors, whose sum is σ = 519102904320. Its totient is φ = 38320128000.
The previous prime is 145151031149. The next prime is 145151031187. The reversal of 145151031168 is 861130151541.
145151031168 is a `hidden beast` number, since 1 + 4 + 51 + 510 + 31 + 1 + 68 = 666.
145151031168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (145151031149) and next prime (145151031187).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 219592758 + ... + 219593418.
It is an arithmetic number, because the mean of its divisors is an integer number (675915240).
Almost surely, 2145151031168 is an apocalyptic number.
145151031168 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 145151031168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259551452160).
145151031168 is an abundant number, since it is smaller than the sum of its proper divisors (373951873152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145151031168 is a wasteful number, since it uses less digits than its factorization.
145151031168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 779 (or 764 counting only the distinct ones).
The product of its (nonzero) digits is 14400, while the sum is 36.
The spelling of 145151031168 in words is "one hundred forty-five billion, one hundred fifty-one million, thirty-one thousand, one hundred sixty-eight".
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