Search a number
-
+
42304414144 = 268916014639
BaseRepresentation
bin100111011001100010…
…100010000111000000
311001012021012220102111
4213121202202013000
51143114412223034
631233454225104
73025225405246
oct473142420700
9131167186374
1042304414144
1116a39814543
1282477b5194
133cb2611925
142094668796
151178e7b364
hex9d98a21c0

42304414144 has 56 divisors (see below), whose sum is σ = 84962390400. Its totient is φ = 20896972800.

The previous prime is 42304414123. The next prime is 42304414177. The reversal of 42304414144 is 44141440324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9116977 + ... + 9121615.

Almost surely, 242304414144 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 42304414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42481195200).

42304414144 is an abundant number, since it is smaller than the sum of its proper divisors (42657976256).

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

42304414144 is a wasteful number, since it uses less digits than its factorization.

42304414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 42304414144 its reverse (44141440324), we get a palindrome (86445854468).

The spelling of 42304414144 in words is "forty-two billion, three hundred four million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 1601 2848 3202 4639 5696 6404 9278 12808 18556 25616 37112 51232 74224 102464 142489 148448 284978 296896 412871 569956 825742 1139912 1651484 2279824 3302968 4559648 6605936 7427039 9119296 13211872 14854078 26423744 29708156 59416312 118832624 237665248 475330496 661006471 1322012942 2644025884 5288051768 10576103536 21152207072 42304414144