Search a number
-
+
4120246680000 = 2635411231131201
BaseRepresentation
bin111011111101010001110…
…101101111100111000000
3112120220002002000221202220
4323331101311233213000
51020001231122230000
612432452025411040
7603451360632153
oct73752165574700
915526062027686
104120246680000
111349428922060
12566646339a80
1323b6cb1322a9
141035c7339c9a
157229c93b1a0
hex3bf51d6f9c0

4120246680000 has 1120 divisors, whose sum is σ = 15657288463872. Its totient is φ = 946176000000.

The previous prime is 4120246679981. The next prime is 4120246680079. The reversal of 4120246680000 is 866420214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3430679400 + ... + 3430680600.

Almost surely, 24120246680000 is an apocalyptic number.

4120246680000 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 4120246680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7828644231936).

4120246680000 is an abundant number, since it is smaller than the sum of its proper divisors (11537041783872).

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

4120246680000 is a wasteful number, since it uses less digits than its factorization.

4120246680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 4120246680000 in words is "four trillion, one hundred twenty billion, two hundred forty-six million, six hundred eighty thousand".