Base | Representation |
---|---|
bin | 11110010011001000100… |
… | …11111001000000000000 |
3 | 10200112011121111122202001 |
4 | 33021210103321000000 |
5 | 114024100121141230 |
6 | 2114131512233344 |
7 | 135133363450423 |
oct | 17114423710000 |
9 | 3615147448661 |
10 | 1041065021440 |
11 | 371571078344 |
12 | 14992269b854 |
13 | 77230ba29b2 |
14 | 385602499ba |
15 | 1c1319c50ca |
hex | f2644f9000 |
1041065021440 has 104 divisors (see below), whose sum is σ = 2501520981048. Its totient is φ = 415880970240.
The previous prime is 1041065021429. The next prime is 1041065021441. The reversal of 1041065021440 is 441205601401.
It can be written as a sum of positive squares in 4 ways, for example, as 151016177664 + 890048843776 = 388608^2 + 943424^2 .
It is a junction number, because it is equal to n+sod(n) for n = 1041065021399 and 1041065021408.
It is not an unprimeable number, because it can be changed into a prime (1041065021441) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15798160 + ... + 15863920.
Almost surely, 21041065021440 is an apocalyptic number.
1041065021440 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 1041065021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250760490524).
1041065021440 is an abundant number, since it is smaller than the sum of its proper divisors (1460455959608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1041065021440 is an frugal number, since it uses more digits than its factorization.
1041065021440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 66563 (or 66541 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 28.
The spelling of 1041065021440 in words is "one trillion, forty-one billion, sixty-five million, twenty-one thousand, four hundred forty".
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