Search a number
-
+
4104000241110 = 23357111910699719
BaseRepresentation
bin111011101110001001011…
…110011111110111010110
3112112100010211111100101000
4323232021132133313112
51014214443030203420
612421203544044130
7602334644321130
oct73561136376726
915470124440330
104104000241110
111342551166060
12563471463646
1323a00c2b2543
141028c5778050
1571b4b4b6690
hex3bb8979fdd6

4104000241110 has 512 divisors, whose sum is σ = 14377512960000. Its totient is φ = 807057354240.

The previous prime is 4104000241073. The next prime is 4104000241111. The reversal of 4104000241110 is 111420004014.

4104000241110 is a `hidden beast` number, since 4 + 10 + 400 + 0 + 241 + 1 + 10 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104000241111) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 422260831 + ... + 422270549.

It is an arithmetic number, because the mean of its divisors is an integer number (28081080000).

Almost surely, 24104000241110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104000241110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188756480000).

4104000241110 is an abundant number, since it is smaller than the sum of its proper divisors (10273512718890).

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

4104000241110 is a wasteful number, since it uses less digits than its factorization.

4104000241110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10841 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4104000241110 its reverse (111420004014), we get a palindrome (4215420245124).

The spelling of 4104000241110 in words is "four trillion, one hundred four billion, two hundred forty-one thousand, one hundred ten".