Search a number
-
+
43134388704 = 25331122919819
BaseRepresentation
bin101000001011000000…
…101000100111100000
311010100002221222111000
4220023000220213200
51201314400414304
631452103352000
73054624153201
oct501300504740
9133302858430
1043134388704
1117325268730
128439752600
1340b555b034
1421329975a8
1511c6c74939
hexa0b0289e0

43134388704 has 192 divisors, whose sum is σ = 137852064000. Its totient is φ = 13013291520.

The previous prime is 43134388699. The next prime is 43134388721. The reversal of 43134388704 is 40788343134.

It is a self number, because there is not a number n which added to its sum of digits gives 43134388704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166507 + ... + 2186325.

It is an arithmetic number, because the mean of its divisors is an integer number (717979500).

Almost surely, 243134388704 is an apocalyptic number.

43134388704 is a gapful number since it is divisible by the number (44) 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 43134388704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68926032000).

43134388704 is an abundant number, since it is smaller than the sum of its proper divisors (94717675296).

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

43134388704 is a wasteful number, since it uses less digits than its factorization.

43134388704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20078 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 43134388704 in words is "forty-three billion, one hundred thirty-four million, three hundred eighty-eight thousand, seven hundred four".