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4240130440 = 23571319371657
BaseRepresentation
bin1111110010111011…
…0100000110001000
3101221111112221111011
43330232310012020
532140433133230
61540424413304
7210034341220
oct37456640610
911844487434
104240130440
111886496837
129a4017234
135275b9a30
142c31c1080
1519c3a9e2a
hexfcbb4188

4240130440 has 256 divisors, whose sum is σ = 12701606400. Its totient is φ = 1236197376.

The previous prime is 4240130407. The next prime is 4240130441. The reversal of 4240130440 is 440310424.

4240130440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42401304402 = 35957412296429187200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4240130441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2558092 + ... + 2559748.

It is an arithmetic number, because the mean of its divisors is an integer number (49615650).

Almost surely, 24240130440 is an apocalyptic number.

4240130440 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 4240130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350803200).

4240130440 is an abundant number, since it is smaller than the sum of its proper divisors (8461475960).

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

4240130440 is a wasteful number, since it uses less digits than its factorization.

4240130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4240130440 is about 65116.2839848835. The cubic root of 4240130440 is about 1618.5510643560.

Adding to 4240130440 its reverse (440310424), we get a palindrome (4680440864).

The spelling of 4240130440 in words is "four billion, two hundred forty million, one hundred thirty thousand, four hundred forty".