Search a number
-
+
43240302144 = 2633132197793
BaseRepresentation
bin101000010001010100…
…101010011001000000
311010121111020221102000
4220101110222121000
51202024004132034
631510405424000
73060351334554
oct502124523100
9133544227360
1043240302144
111737a028aa6
12846910b000
134101492300
142142a87864
1511d11e6599
hexa1152a640

43240302144 has 336 divisors, whose sum is σ = 144912283200. Its totient is φ = 12602843136.

The previous prime is 43240302113. The next prime is 43240302173. The reversal of 43240302144 is 44120304234.

It is a happy number.

43240302144 is a `hidden beast` number, since 43 + 2 + 403 + 0 + 214 + 4 = 666.

It is a super-4 number, since 4×432403021444 (a number of 44 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5544712 + ... + 5552504.

Almost surely, 243240302144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43240302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72456141600).

43240302144 is an abundant number, since it is smaller than the sum of its proper divisors (101671981056).

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

43240302144 is a wasteful number, since it uses less digits than its factorization.

43240302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7859 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 43240302144 its reverse (44120304234), we get a palindrome (87360606378).

The spelling of 43240302144 in words is "forty-three billion, two hundred forty million, three hundred two thousand, one hundred forty-four".