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42202283424 = 25372319913721
BaseRepresentation
bin100111010011011100…
…111011110110100000
311000221011001010102020
4213103130323312200
51142412241032144
631215405221440
73022545330120
oct472334736640
9130834033366
1042202283424
11169970a8194
128219561880
133c97403352
142084c80c80
151170005419
hex9d373bda0

42202283424 has 192 divisors, whose sum is σ = 132785049600. Its totient is φ = 11474749440.

The previous prime is 42202283419. The next prime is 42202283441. The reversal of 42202283424 is 42438220224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068884 + ... + 3082604.

It is an arithmetic number, because the mean of its divisors is an integer number (691588800).

Almost surely, 242202283424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42202283424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66392524800).

42202283424 is an abundant number, since it is smaller than the sum of its proper divisors (90582766176).

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

42202283424 is a wasteful number, since it uses less digits than its factorization.

42202283424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13955 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 42202283424 in words is "forty-two billion, two hundred two million, two hundred eighty-three thousand, four hundred twenty-four".