Search a number
-
+
4235142240 = 253357433257
BaseRepresentation
bin1111110001101111…
…0010010001100000
3101221011011111222000
43330123302101200
532133144022430
61540125444000
7206644054320
oct37433622140
911834144860
104235142240
11188369a05a
129a2410600
13526561434
142c2683280
1519bc21e60
hexfc6f2460

4235142240 has 384 divisors, whose sum is σ = 17339857920. Its totient is φ = 945229824.

The previous prime is 4235142229. The next prime is 4235142251. The reversal of 4235142240 is 422415324.

4235142240 is a `hidden beast` number, since 4 + 235 + 1 + 422 + 4 + 0 = 666.

4235142240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4235142229) and next prime (4235142251).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298692 + ... + 1301948.

It is an arithmetic number, because the mean of its divisors is an integer number (45155880).

Almost surely, 24235142240 is an apocalyptic number.

4235142240 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 4235142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669928960).

4235142240 is an abundant number, since it is smaller than the sum of its proper divisors (13104715680).

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

4235142240 is a wasteful number, since it uses less digits than its factorization.

4235142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4235142240 is about 65077.9704662031. The cubic root of 4235142240 is about 1617.9161134094.

Adding to 4235142240 its reverse (422415324), we get a palindrome (4657557564).

The spelling of 4235142240 in words is "four billion, two hundred thirty-five million, one hundred forty-two thousand, two hundred forty".