| Base | Representation |
|---|---|
| bin | 100101111110111011011001… |
| … | …0110101000011110000010000 |
| 3 | 1121210222001100221011122112000 |
| 4 | 1023331312302311003300100 |
| 5 | 322242430411034221000 |
| 6 | 3142325204502034000 |
| 7 | 130242142546133403 |
| oct | 11375666265036020 |
| 9 | 1553861327148460 |
| 10 | 334104211242000 |
| 11 | 97501889192731 |
| 12 | 3157b774418900 |
| 13 | 11456b79762ba4 |
| 14 | 5c70a315a3d3a |
| 15 | 2895c3d3cd000 |
| hex | 12fddb2d43c10 |
334104211242000 has 640 divisors, whose sum is σ = 1249034342400000. Its totient is φ = 85209697267200.
The previous prime is 334104211241963. The next prime is 334104211242037. The reversal of 334104211242000 is 242112401433.
334104211242000 is a `hidden beast` number, since 3 + 3 + 4 + 10 + 421 + 1 + 24 + 200 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (334104211241963) and next prime (334104211242037).
It is a super-2 number, since 2×3341042112420002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14157546201 + ... + 14157569799.
It is an arithmetic number, because the mean of its divisors is an integer number (1951616160000).
Almost surely, 2334104211242000 is an apocalyptic number.
334104211242000 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 334104211242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624517171200000).
334104211242000 is an abundant number, since it is smaller than the sum of its proper divisors (914930131158000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334104211242000 is a wasteful number, since it uses less digits than its factorization.
334104211242000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35053 (or 35031 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 334104211242000 its reverse (242112401433), we get a palindrome (334346323643433).
The spelling of 334104211242000 in words is "three hundred thirty-four trillion, one hundred four billion, two hundred eleven million, two hundred forty-two thousand".
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