| Base | Representation |
|---|---|
| bin | 1000011101011000011… |
| … | …1111011011101000000 |
| 3 | 111220010001010011000200 |
| 4 | 2013112013323131000 |
| 5 | 4340112014323040 |
| 6 | 150432331245200 |
| 7 | 13333215240210 |
| oct | 2072607733500 |
| 9 | 456101104020 |
| 10 | 145326323520 |
| 11 | 566a5a14904 |
| 12 | 241b95a9800 |
| 13 | 10920207111 |
| 14 | 7068b96240 |
| 15 | 3ba8636630 |
| hex | 21d61fb740 |
145326323520 has 672 divisors, whose sum is σ = 594666848256. Its totient is φ = 31875379200.
The previous prime is 145326323503. The next prime is 145326323579. The reversal of 145326323520 is 25323623541.
145326323520 is a `hidden beast` number, since 1 + 4 + 5 + 326 + 323 + 5 + 2 + 0 = 666.
145326323520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×1453263235202 (a number of 23 digits) contains 22 as substring.
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, 79369005 + ... + 79370835.
Almost surely, 2145326323520 is an apocalyptic number.
145326323520 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 145326323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297333424128).
145326323520 is an abundant number, since it is smaller than the sum of its proper divisors (449340524736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145326323520 is a wasteful number, since it uses less digits than its factorization.
145326323520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2019 (or 2006 counting only the distinct ones).
The product of its (nonzero) digits is 129600, while the sum is 36.
The spelling of 145326323520 in words is "one hundred forty-five billion, three hundred twenty-six million, three hundred twenty-three thousand, five hundred twenty".
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