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4152230082000 = 24325371113230449
BaseRepresentation
bin111100011011000100001…
…100101111010111010000
3112200221122001110010012100
4330123010030233113100
51021012231400111000
612455301433000400
7605663063233140
oct74330414572720
915627561403170
104152230082000
111360a506a63a0
12570891553100
132417273ac930
14104d7cd5c920
1573020749a00
hex3c6c432f5d0

4152230082000 has 960 divisors, whose sum is σ = 19471778726400. Its totient is φ = 796428288000.

The previous prime is 4152230081969. The next prime is 4152230082043. The reversal of 4152230082000 is 2800322514.

4152230082000 is a `hidden beast` number, since 4 + 152 + 2 + 300 + 8 + 200 + 0 = 666.

4152230082000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17902776 + ... + 18133224.

It is an arithmetic number, because the mean of its divisors is an integer number (20283102840).

Almost surely, 24152230082000 is an apocalyptic number.

4152230082000 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 4152230082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9735889363200).

4152230082000 is an abundant number, since it is smaller than the sum of its proper divisors (15319548644400).

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

4152230082000 is a wasteful number, since it uses less digits than its factorization.

4152230082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230509 (or 230490 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 4152230082000 in words is "four trillion, one hundred fifty-two billion, two hundred thirty million, eighty-two thousand".