Search a number
-
+
43134022440 = 233252353227433
BaseRepresentation
bin101000001010111111…
…001111001100101000
311010100002021101001200
4220022333033030220
51201314302204230
631452051444200
73054621066315
oct501277171450
9133302241050
1043134022440
1117325038533
1284395b6660
1340b5460402
1421328ddd0c
1511c6c01160
hexa0afcf328

43134022440 has 384 divisors, whose sum is σ = 150042896640. Its totient is φ = 10722336768.

The previous prime is 43134022409. The next prime is 43134022441. The reversal of 43134022440 is 4422043134.

It is a happy number.

43134022440 is a `hidden beast` number, since 4 + 3 + 13 + 402 + 244 + 0 = 666.

43134022440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (43134022441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99616464 + ... + 99616896.

It is an arithmetic number, because the mean of its divisors is an integer number (390736710).

Almost surely, 243134022440 is an apocalyptic number.

43134022440 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 43134022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75021448320).

43134022440 is an abundant number, since it is smaller than the sum of its proper divisors (106908874200).

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

43134022440 is a wasteful number, since it uses less digits than its factorization.

43134022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 746 counting only the distinct ones).

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

Adding to 43134022440 its reverse (4422043134), we get a palindrome (47556065574).

The spelling of 43134022440 in words is "forty-three billion, one hundred thirty-four million, twenty-two thousand, four hundred forty".