Base | Representation |
---|---|
bin | 111111000101011010100… |
… | …111010000001011101000 |
3 | 120100102202111221112120202 |
4 | 333011122213100023220 |
5 | 1032011332403203000 |
6 | 13115311543211332 |
7 | 625126603024544 |
oct | 77053247201350 |
9 | 16312674845522 |
10 | 4335142241000 |
11 | 142158386174a |
12 | 5a021a446b48 |
13 | 255a5746138c |
14 | 10db71816a24 |
15 | 77b78944dd5 |
hex | 3f15a9d02e8 |
4335142241000 has 128 divisors (see below), whose sum is σ = 10189516296960. Its totient is φ = 1726327008000.
The previous prime is 4335142240999. The next prime is 4335142241041. The reversal of 4335142241000 is 1422415334.
4335142241000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360924995 + ... + 360937005.
It is an arithmetic number, because the mean of its divisors is an integer number (79605596070).
Almost surely, 24335142241000 is an apocalyptic number.
4335142241000 is a gapful number since it is divisible by the number (40) 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 4335142241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094758148480).
4335142241000 is an abundant number, since it is smaller than the sum of its proper divisors (5854374055960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4335142241000 is a wasteful number, since it uses less digits than its factorization.
4335142241000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13612 (or 13598 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 29.
Adding to 4335142241000 its reverse (1422415334), we get a palindrome (4336564656334).
The spelling of 4335142241000 in words is "four trillion, three hundred thirty-five billion, one hundred forty-two million, two hundred forty-one thousand".
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