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4066302240 = 25325721113231
BaseRepresentation
bin1111001001011110…
…1101100100100000
3101111101110120000200
43302113231210200
531311433132430
61511254545200
7202523666400
oct36227554440
911441416020
104066302240
1117a735a070
12955968200
134ca597100
142a8092800
1518bec0460
hexf25ed920

4066302240 has 1296 divisors, whose sum is σ = 19683046656. Its totient is φ = 754790400.

The previous prime is 4066302217. The next prime is 4066302241. The reversal of 4066302240 is 422036604.

4066302240 is a `hidden beast` number, since 4 + 0 + 6 + 630 + 2 + 24 + 0 = 666.

4066302240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4066302241) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 131171025 + ... + 131171055.

It is an arithmetic number, because the mean of its divisors is an integer number (15187536).

Almost surely, 24066302240 is an apocalyptic number.

4066302240 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 4066302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841523328).

4066302240 is an abundant number, since it is smaller than the sum of its proper divisors (15616744416).

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

4066302240 is a wasteful number, since it uses less digits than its factorization.

4066302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4066302240 is about 63767.5641686273. The cubic root of 4066302240 is about 1596.1237207876.

Adding to 4066302240 its reverse (422036604), we get a palindrome (4488338844).

The spelling of 4066302240 in words is "four billion, sixty-six million, three hundred two thousand, two hundred forty".