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42243210044244 = 2233115329311232039
BaseRepresentation
bin10011001101011100000111…
…00001110110001101010100
312112120102002221101020011000
421212232003201312031110
521014103043232403434
6225502132432343300
711616654060602136
oct1146560341661524
9175512087336130
1042243210044244
1112507276878920
1248a30256a4b30
131a75696277b01
14a60821a99056
154d3c99889b99
hex266b83876354

42243210044244 has 384 divisors, whose sum is σ = 122314190745600. Its totient is φ = 12499301168640.

The previous prime is 42243210044207. The next prime is 42243210044267. The reversal of 42243210044244 is 44244001234224.

42243210044244 is a `hidden beast` number, since 4 + 224 + 3 + 2 + 1 + 0 + 0 + 4 + 424 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42243210044199 and 42243210044208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20717610577 + ... + 20717612615.

It is an arithmetic number, because the mean of its divisors is an integer number (318526538400).

Almost surely, 242243210044244 is an apocalyptic number.

42243210044244 is a gapful number since it is divisible by the number (44) 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 42243210044244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61157095372800).

42243210044244 is an abundant number, since it is smaller than the sum of its proper divisors (80070980701356).

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

42243210044244 is a wasteful number, since it uses less digits than its factorization.

42243210044244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 42243210044244 its reverse (44244001234224), we get a palindrome (86487211278468).

The spelling of 42243210044244 in words is "forty-two trillion, two hundred forty-three billion, two hundred ten million, forty-four thousand, two hundred forty-four".