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42044341248 = 2103371317983
BaseRepresentation
bin100111001010000010…
…011011110000000000
311000112010211211111000
4213022002123300000
51142101322404443
631152004052000
73015620001240
oct471202336000
9130463754430
1042044341248
1116915a30968
128194694000
133c70783440
14206bcc9b20
1511612078d3
hex9ca09bc00

42044341248 has 704 divisors, whose sum is σ = 162428958720. Its totient is φ = 10425729024.

The previous prime is 42044341243. The next prime is 42044341267. The reversal of 42044341248 is 84214344024.

42044341248 is a `hidden beast` number, since 4 + 204 + 434 + 12 + 4 + 8 = 666.

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 (42044341243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42770965 + ... + 42771947.

Almost surely, 242044341248 is an apocalyptic number.

42044341248 is a gapful number since it is divisible by the number (48) 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 42044341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81214479360).

42044341248 is an abundant number, since it is smaller than the sum of its proper divisors (120384617472).

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

42044341248 is a wasteful number, since it uses less digits than its factorization.

42044341248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 42044341248 in words is "forty-two billion, forty-four million, three hundred forty-one thousand, two hundred forty-eight".