Search a number
-
+
4210004000124 = 2232138995735043
BaseRepresentation
bin111101010000110111110…
…010101111110101111100
3112220110202102021020200200
4331100313302233311330
51022434042011000444
612542014340323500
7613106552362206
oct75206762576574
915813672236620
104210004000124
1113834a855a16a
1257bb159a3590
132470038a59c0
14107a9dd05776
15747a282c969
hex3d437cafd7c

4210004000124 has 36 divisors (see below), whose sum is σ = 11460566446056. Its totient is φ = 1295385846048.

The previous prime is 4210004000093. The next prime is 4210004000183.

4210004000124 is a `hidden beast` number, since 42 + 100 + 0 + 400 + 0 + 124 = 666.

4210004000124 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4210004000097 and 4210004000106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4497867054 + ... + 4497867989.

It is an arithmetic number, because the mean of its divisors is an integer number (318349067946).

Almost surely, 24210004000124 is an apocalyptic number.

It is an amenable number.

4210004000124 is an abundant number, since it is smaller than the sum of its proper divisors (7250562445932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4210004000124 is a wasteful number, since it uses less digits than its factorization.

4210004000124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995735066 (or 8995735061 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 4210004000124 in words is "four trillion, two hundred ten billion, four million, one hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8995735043 17991470086 26987205129 35982940172 53974410258 80961615387 107948820516 116944555559 161923230774 233889111118 323846461548 350833666677 467778222236 701667333354 1052501000031 1403334666708 2105002000062 4210004000124