| Base | Representation |
|---|---|
| bin | 1111100000101101011101… |
| … | …10101001101000000000000 |
| 3 | 11110202210222120022101000000 |
| 4 | 13300112232311031000000 |
| 5 | 13432321240212330000 |
| 6 | 200313325344000000 |
| 7 | 10120212320222400 |
| oct | 760265665150000 |
| 9 | 143683876271000 |
| 10 | 34109268480000 |
| 11 | a960728914a4a |
| 12 | 39aa731000000 |
| 13 | 160564b00a6bc |
| 14 | 85cc7c68c800 |
| 15 | 3e23d8a30000 |
| hex | 1f05aed4d000 |
34109268480000 has 2730 divisors, whose sum is σ = 149057756276154. Its totient is φ = 7775502336000.
The previous prime is 34109268479981. The next prime is 34109268480019. The reversal of 34109268480000 is 8486290143.
It is a happy number.
34109268480000 is a `hidden beast` number, since 3 + 4 + 109 + 2 + 68 + 480 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (34109268479981) and next prime (34109268480019).
It can be written as a sum of positive squares in 5 ways, for example, as 12646729138176 + 21462539341824 = 3556224^2 + 4632768^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 91445759814 + ... + 91445760186.
Almost surely, 234109268480000 is an apocalyptic number.
34109268480000 is a gapful number since it is divisible by the number (30) 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 34109268480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74528878138077).
34109268480000 is an abundant number, since it is smaller than the sum of its proper divisors (114948487796154).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34109268480000 is an frugal number, since it uses more digits than its factorization.
34109268480000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 449 (or 390 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The spelling of 34109268480000 in words is "thirty-four trillion, one hundred nine billion, two hundred sixty-eight million, four hundred eighty thousand".
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