Search a number
-
+
4245321205224 = 2334113797165947
BaseRepresentation
bin111101110001110000110…
…111001100010111101000
3120000211220201211011020000
4331301300313030113220
51024023404212031344
613010135034503000
7615500005563561
oct75616067142750
916024821734200
104245321205224
111397481166080
12586931594a60
1324a44173c6b8
141096905c3168
157566d169a69
hex3dc70dcc5e8

4245321205224 has 320 divisors, whose sum is σ = 13459829866560. Its totient is φ = 1238780252160.

The previous prime is 4245321205217. The next prime is 4245321205253. The reversal of 4245321205224 is 4225021235424.

4245321205224 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 3 + 2 + 120 + 522 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25499419 + ... + 25665365.

It is an arithmetic number, because the mean of its divisors is an integer number (42061968333).

Almost surely, 24245321205224 is an apocalyptic number.

4245321205224 is a gapful number since it is divisible by the number (44) 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 4245321205224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729914933280).

4245321205224 is an abundant number, since it is smaller than the sum of its proper divisors (9214508661336).

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

4245321205224 is a wasteful number, since it uses less digits than its factorization.

4245321205224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166110 (or 166097 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 4245321205224 in words is "four trillion, two hundred forty-five billion, three hundred twenty-one million, two hundred five thousand, two hundred twenty-four".