| Base | Representation |
|---|---|
| bin | 1000011101101101101… |
| … | …1110111001100100000 |
| 3 | 111220100020210111001100 |
| 4 | 2013123123313030200 |
| 5 | 4340302322410130 |
| 6 | 150445233234400 |
| 7 | 13335346542441 |
| oct | 2073333671440 |
| 9 | 456306714040 |
| 10 | 145415435040 |
| 11 | 56741249697 |
| 12 | 24223402a00 |
| 13 | 10935807825 |
| 14 | 70769512c8 |
| 15 | 3bb1389c60 |
| hex | 21db6f7320 |
145415435040 has 288 divisors, whose sum is σ = 530250280560. Its totient is φ = 36160929792.
The previous prime is 145415435017. The next prime is 145415435071. The reversal of 145415435040 is 40534514541.
145415435040 is a `hidden beast` number, since 1 + 454 + 154 + 3 + 50 + 4 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 88430106384 + 56985328656 = 297372^2 + 238716^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1454154350402 (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 junction number, because it is equal to n+sod(n) for n = 145415434986 and 145415435004.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2641072 + ... + 2695568.
Almost surely, 2145415435040 is an apocalyptic number.
145415435040 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 145415435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265125140280).
145415435040 is an abundant number, since it is smaller than the sum of its proper divisors (384834845520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145415435040 is a wasteful number, since it uses less digits than its factorization.
145415435040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 54644 (or 54633 counting only the distinct ones).
The product of its (nonzero) digits is 96000, while the sum is 36.
Adding to 145415435040 its reverse (40534514541), we get a palindrome (185949949581).
The spelling of 145415435040 in words is "one hundred forty-five billion, four hundred fifteen million, four hundred thirty-five thousand, forty".
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