Search a number
-
+
42367430400000 = 2113553176961
BaseRepresentation
bin10011010001000011011111…
…01000111001100000000000
312120000021202001220010100220
421220201233220321200000
521023121444140300000
6230035155005543040
711631642264315546
oct1150415750714000
9176007661803326
1042367430400000
1112554a20a42762
124903112874a80
131a843019171b4
14a66847715d96
154d711a0e11a0
hex26886fa39800

42367430400000 has 576 divisors, whose sum is σ = 141646965576480. Its totient is φ = 11260723200000.

The previous prime is 42367430399999. The next prime is 42367430400023. The reversal of 42367430400000 is 403476324.

It is a congruent number.

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, 6086396520 + ... + 6086403480.

Almost surely, 242367430400000 is an apocalyptic number.

42367430400000 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 42367430400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70823482788240).

42367430400000 is an abundant number, since it is smaller than the sum of its proper divisors (99279535176480).

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

42367430400000 is an frugal number, since it uses more digits than its factorization.

42367430400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

Adding to 42367430400000 its reverse (403476324), we get a palindrome (42367833876324).

The spelling of 42367430400000 in words is "forty-two trillion, three hundred sixty-seven billion, four hundred thirty million, four hundred thousand".