| Base | Representation |
|---|---|
| bin | 1000011101101001101… |
| … | …0111101101110000000 |
| 3 | 111220022001210011002120 |
| 4 | 2013122122331232000 |
| 5 | 4340233444004100 |
| 6 | 150443424444240 |
| 7 | 13335052125060 |
| oct | 2073232755600 |
| 9 | 456261704076 |
| 10 | 145398422400 |
| 11 | 56732689860 |
| 12 | 24219779680 |
| 13 | 1093212c08a |
| 14 | 70745a33a0 |
| 15 | 3baeb290a0 |
| hex | 21da6bdb80 |
145398422400 has 768 divisors, whose sum is σ = 600304435200. Its totient is φ = 30049689600.
The previous prime is 145398422383. The next prime is 145398422401. The reversal of 145398422400 is 4224893541.
It is a happy number.
145398422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1453984224002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145398422401) 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 95 ways as a sum of consecutive naturals, for example, 176668389 + ... + 176669211.
It is an arithmetic number, because the mean of its divisors is an integer number (781646400).
Almost surely, 2145398422400 is an apocalyptic number.
145398422400 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 145398422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300152217600).
145398422400 is an abundant number, since it is smaller than the sum of its proper divisors (454906012800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145398422400 is a wasteful number, since it uses less digits than its factorization.
145398422400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1107 (or 1090 counting only the distinct ones).
The product of its (nonzero) digits is 276480, while the sum is 42.
The spelling of 145398422400 in words is "one hundred forty-five billion, three hundred ninety-eight million, four hundred twenty-two thousand, four hundred".
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