Search a number
-
+
42554503200000 = 28355117173311
BaseRepresentation
bin10011010110011111111100…
…00010111111110100000000
312120200011121111101000020010
421223033332002333310000
521034203110304400000
6230301134025144520
711651314155013041
oct1153177602776400
9176604544330203
1042554503200000
11126172997321a0
12493342102b140
131a98b459737ac
14a719129bc8c8
154dbe186e3d50
hex26b3fe0bfd00

42554503200000 has 1728 divisors, whose sum is σ = 159262374555648. Its totient is φ = 9999360000000.

The previous prime is 42554503199963. The next prime is 42554503200007. The reversal of 42554503200000 is 230545524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42554503200007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136831199845 + ... + 136831200155.

It is an arithmetic number, because the mean of its divisors is an integer number (92165726016).

Almost surely, 242554503200000 is an apocalyptic number.

42554503200000 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 42554503200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79631187277824).

42554503200000 is an abundant number, since it is smaller than the sum of its proper divisors (116707871355648).

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

42554503200000 is an equidigital number, since it uses as much as digits as its factorization.

42554503200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 42554503200000 its reverse (230545524), we get a palindrome (42554733745524).

The spelling of 42554503200000 in words is "forty-two trillion, five hundred fifty-four billion, five hundred three million, two hundred thousand".