| Base | Representation |
|---|---|
| bin | 1000011100010010100… |
| … | …1110100010100000000 |
| 3 | 111212100121120210212000 |
| 4 | 2013010221310110000 |
| 5 | 4334012000423110 |
| 6 | 150343301104000 |
| 7 | 13323026002110 |
| oct | 2070451642400 |
| 9 | 455317523760 |
| 10 | 145033217280 |
| 11 | 56565519846 |
| 12 | 241373b8000 |
| 13 | 108a4581083 |
| 14 | 703bc99040 |
| 15 | 3b8ca3a1c0 |
| hex | 21c4a74500 |
145033217280 has 1152 divisors, whose sum is σ = 617116631040. Its totient is φ = 31558533120.
The previous prime is 145033217269. The next prime is 145033217281. The reversal of 145033217280 is 82712330541.
145033217280 is a `hidden beast` number, since 1 + 4 + 50 + 3 + 321 + 7 + 280 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×1450332172802 (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 not an unprimeable number, because it can be changed into a prime (145033217281) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 622460044 + ... + 622460276.
It is an arithmetic number, because the mean of its divisors is an integer number (535691520).
Almost surely, 2145033217280 is an apocalyptic number.
145033217280 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 145033217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308558315520).
145033217280 is an abundant number, since it is smaller than the sum of its proper divisors (472083413760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145033217280 is a wasteful number, since it uses less digits than its factorization.
145033217280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 384 (or 364 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The spelling of 145033217280 in words is "one hundred forty-five billion, thirty-three million, two hundred seventeen thousand, two hundred eighty".
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