Search a number
-
+
104060740912128 = 2103571113597397
BaseRepresentation
bin10111101010010010000111…
…011111110100010000000000
3111122110002221221202021100000
4113222102013133310100000
5102114412344133142003
61005152502221200000
730630066111321630
oct2752220737642000
9448402857667300
10104060740912128
113017aa04429080
12b807803700000
13460ab690339b0
141b9a7d118c6c0
15c06cd30821a3
hex5ea4877f4400

104060740912128 has 4224 divisors, whose sum is σ = 435740112138240. Its totient is φ = 23941380833280.

The previous prime is 104060740912091. The next prime is 104060740912133. The reversal of 104060740912128 is 821219047060401.

104060740912128 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 607 + 4 + 0 + 9 + 12 + 1 + 28 = 666.

104060740912128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4224).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1072791143376 + ... + 1072791143472.

Almost surely, 2104060740912128 is an apocalyptic number.

104060740912128 is a gapful number since it is divisible by the number (18) 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 104060740912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217870056069120).

104060740912128 is an abundant number, since it is smaller than the sum of its proper divisors (331679371226112).

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

104060740912128 is a wasteful number, since it uses less digits than its factorization.

104060740912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

Adding to 104060740912128 its reverse (821219047060401), we get a palindrome (925279787972529).

The spelling of 104060740912128 in words is "one hundred four trillion, sixty billion, seven hundred forty million, nine hundred twelve thousand, one hundred twenty-eight".