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42404423200000 = 2855389136261
BaseRepresentation
bin10011010010001000011001…
…00101001110110100000000
312120010211020011101001222121
421221010030211032310000
521024223224314400000
6230104153442014024
711634422065035451
oct1151041445166400
9176124204331877
1042404423200000
1112569684462944
12490a317647314
131a87948963c74
14a68556765128
154d8082ab0b1a
hex26910c94ed00

42404423200000 has 216 divisors, whose sum is σ = 106069984445880. Its totient is φ = 16918041600000.

The previous prime is 42404423199989. The next prime is 42404423200003. The reversal of 42404423200000 is 232440424.

It can be written as a sum of positive squares in 12 ways, for example, as 39505549198336 + 2898874001664 = 6285344^2 + 1702608^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404423200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311131870 + ... + 311268130.

It is an arithmetic number, because the mean of its divisors is an integer number (491064742805).

Almost surely, 242404423200000 is an apocalyptic number.

42404423200000 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 42404423200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53034992222940).

42404423200000 is an abundant number, since it is smaller than the sum of its proper divisors (63665561245880).

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

42404423200000 is an frugal number, since it uses more digits than its factorization.

42404423200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136691 (or 136657 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 42404423200000 its reverse (232440424), we get a palindrome (42404655640424).

The spelling of 42404423200000 in words is "forty-two trillion, four hundred four billion, four hundred twenty-three million, two hundred thousand".