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4120342020432 = 2433112678211433
BaseRepresentation
bin111011111101010111100…
…001011100000101010000
3112120220022201102202021000
4323331113201130011100
51020001430024123212
612432505313102000
7603453626206461
oct73752741340520
915526281382230
104120342020432
111349477720800
12566672257900
1323b714b03c51
141035d5c76d68
15722a5ec01dc
hex3bf5785c150

4120342020432 has 480 divisors, whose sum is σ = 13219140170880. Its totient is φ = 1227597465600.

The previous prime is 4120342020419. The next prime is 4120342020437. The reversal of 4120342020432 is 2340202430214.

4120342020432 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 3 + 420 + 204 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4120342020396 and 4120342020405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120342020437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2875325188 + ... + 2875326620.

It is an arithmetic number, because the mean of its divisors is an integer number (27539875356).

Almost surely, 24120342020432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120342020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609570085440).

4120342020432 is an abundant number, since it is smaller than the sum of its proper divisors (9098798150448).

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

4120342020432 is a wasteful number, since it uses less digits than its factorization.

4120342020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4120342020432 its reverse (2340202430214), we get a palindrome (6460544450646).

The spelling of 4120342020432 in words is "four trillion, one hundred twenty billion, three hundred forty-two million, twenty thousand, four hundred thirty-two".