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42341299200 = 2103252296337
BaseRepresentation
bin100111011011101111…
…001111010000000000
311001021211121212012200
4213123233033100000
51143203333033300
631241252553200
73026154050664
oct473357172000
9131254555180
1042341299200
1116a58617862
128258022800
133cba1576c5
14209950a8a4
15117c315200
hex9dbbcf400

42341299200 has 396 divisors, whose sum is σ = 156854281740. Its totient is φ = 10899947520.

The previous prime is 42341299193. The next prime is 42341299207. The reversal of 42341299200 is 299214324.

42341299200 is a `hidden beast` number, since 4 + 2 + 341 + 299 + 20 + 0 = 666.

42341299200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42341299193) and next prime (42341299207).

It can be written as a sum of positive squares in 6 ways, for example, as 1776116736 + 40565182464 = 42144^2 + 201408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42341299207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6678432 + ... + 6684768.

Almost surely, 242341299200 is an apocalyptic number.

42341299200 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 42341299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427140870).

42341299200 is an abundant number, since it is smaller than the sum of its proper divisors (114512982540).

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

42341299200 is a wasteful number, since it uses less digits than its factorization.

42341299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 42341299200 in words is "forty-two billion, three hundred forty-one million, two hundred ninety-nine thousand, two hundred".