| Base | Representation |
|---|---|
| bin | 11110010110011100001… |
| … | …10110010001100000000 |
| 3 | 10200200202022101102012100 |
| 4 | 33023032012302030000 |
| 5 | 114041214013024220 |
| 6 | 2115023555430400 |
| 7 | 135225355331253 |
| oct | 17131606621400 |
| 9 | 3620668342170 |
| 10 | 1042839970560 |
| 11 | 3722a1a81943 |
| 12 | 14a138bb5400 |
| 13 | 7745483164b |
| 14 | 3868bc8109a |
| 15 | 1c1d7730d90 |
| hex | f2ce1b2300 |
1042839970560 has 1728 divisors, whose sum is σ = 4215126988800. Its totient is φ = 236373147648.
The previous prime is 1042839970547. The next prime is 1042839970561. The reversal of 1042839970560 is 650799382401.
1042839970560 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 8 + 3 + 9 + 9 + 70 + 560 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 1042839970497 and 1042839970506.
It is not an unprimeable number, because it can be changed into a prime (1042839970561) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11717302996 + ... + 11717303084.
It is an arithmetic number, because the mean of its divisors is an integer number (2439309600).
It is a 1-persistent number, because it is pandigital, but 2⋅1042839970560 = 2085679941120 is not.
Almost surely, 21042839970560 is an apocalyptic number.
1042839970560 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 1042839970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107563494400).
1042839970560 is an abundant number, since it is smaller than the sum of its proper divisors (3172287018240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1042839970560 is a wasteful number, since it uses less digits than its factorization.
1042839970560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 266 (or 249 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The spelling of 1042839970560 in words is "one trillion, forty-two billion, eight hundred thirty-nine million, nine hundred seventy thousand, five hundred sixty".
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