Base | Representation |
---|---|
bin | 1100100000101010100… |
… | …1101110001100000000 |
3 | 202112202122012121120210 |
4 | 3020022221232030000 |
5 | 12010132312332143 |
6 | 242423001034120 |
7 | 21346043662221 |
oct | 3101251561400 |
9 | 675678177523 |
10 | 214927074048 |
11 | 83171803935 |
12 | 357a2785940 |
13 | 17362a1397b |
14 | a58c761248 |
15 | 58cdb81033 |
hex | 320aa6e300 |
214927074048 has 144 divisors (see below), whose sum is σ = 580842662400. Its totient is φ = 70540001280.
The previous prime is 214927074013. The next prime is 214927074053. The reversal of 214927074048 is 840470729412.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 214927073988 and 214927074006.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50109088 + ... + 50113376.
It is an arithmetic number, because the mean of its divisors is an integer number (4033629600).
Almost surely, 2214927074048 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 214927074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290421331200).
214927074048 is an abundant number, since it is smaller than the sum of its proper divisors (365915588352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214927074048 is an equidigital number, since it uses as much as digits as its factorization.
214927074048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5298 (or 5284 counting only the distinct ones).
The product of its (nonzero) digits is 903168, while the sum is 48.
The spelling of 214927074048 in words is "two hundred fourteen billion, nine hundred twenty-seven million, seventy-four thousand, forty-eight".
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