| Base | Representation |
|---|---|
| bin | 100001001110100111011110… |
| … | …111001101101000010100000 |
| 3 | 201011102211220000002021012000 |
| 4 | 201032213132321231002200 |
| 5 | 123123324210442240130 |
| 6 | 1234451442353004000 |
| 7 | 42532160324323620 |
| oct | 4116473671550240 |
| 9 | 634384800067160 |
| 10 | 146140001915040 |
| 11 | 42623699245611 |
| 12 | 14482ab2b53600 |
| 13 | 6370c34b53033 |
| 14 | 28132dca86880 |
| 15 | 11d6684423260 |
| hex | 84e9dee6d0a0 |
146140001915040 has 768 divisors, whose sum is σ = 617880130560000. Its totient is φ = 31514015416320.
The previous prime is 146140001915029. The next prime is 146140001915081. The reversal of 146140001915040 is 40519100041641.
146140001915040 is a `hidden beast` number, since 1 + 4 + 6 + 140 + 0 + 0 + 1 + 9 + 1 + 504 + 0 = 666.
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 = 146140001914986 and 146140001915004.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137941261 + ... + 138996659.
It is an arithmetic number, because the mean of its divisors is an integer number (804531420000).
Almost surely, 2146140001915040 is an apocalyptic number.
146140001915040 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 146140001915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308940065280000).
146140001915040 is an abundant number, since it is smaller than the sum of its proper divisors (471740128644960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146140001915040 is a wasteful number, since it uses less digits than its factorization.
146140001915040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1055690 (or 1055676 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 36.
Adding to 146140001915040 its reverse (40519100041641), we get a palindrome (186659101956681).
The spelling of 146140001915040 in words is "one hundred forty-six trillion, one hundred forty billion, one million, nine hundred fifteen thousand, forty".
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