| Base | Representation |
|---|---|
| bin | 11110111000100001101… |
| … | …10111111101100100000 |
| 3 | 10202102222122200202120000 |
| 4 | 33130100312333230200 |
| 5 | 114341203240233430 |
| 6 | 2131251512020000 |
| 7 | 136444014154500 |
| oct | 17342066775440 |
| 9 | 3672878622500 |
| 10 | 1061139774240 |
| 11 | 37a032814237 |
| 12 | 1517a5691600 |
| 13 | 790acbc1550 |
| 14 | 3950642da00 |
| 15 | 1c9090a9e60 |
| hex | f710dbfb20 |
1061139774240 has 1440 divisors, whose sum is σ = 4968087539184. Its totient is φ = 210691031040.
The previous prime is 1061139774221. The next prime is 1061139774259. The reversal of 1061139774240 is 424779311601.
It is a happy number.
1061139774240 is a `hidden beast` number, since 1 + 0 + 6 + 11 + 397 + 7 + 4 + 240 = 666.
It is an interprime number because it is at equal distance from previous prime (1061139774221) and next prime (1061139774259).
It can be written as a sum of positive squares in 8 ways, for example, as 270271055376 + 790868718864 = 519876^2 + 889308^2 .
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×10611397742402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140340060 + ... + 140347620.
Almost surely, 21061139774240 is an apocalyptic number.
1061139774240 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 1061139774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484043769592).
1061139774240 is an abundant number, since it is smaller than the sum of its proper divisors (3906947764944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1061139774240 is a wasteful number, since it uses less digits than its factorization.
1061139774240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7632 (or 7608 counting only the distinct ones).
The product of its (nonzero) digits is 254016, while the sum is 45.
The spelling of 1061139774240 in words is "one trillion, sixty-one billion, one hundred thirty-nine million, seven hundred seventy-four thousand, two hundred forty".
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