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42323439848448 = 2103113179114337
BaseRepresentation
bin10011001111110001100011…
…00110010000110000000000
312112212002012021220120020210
421213320301212100300000
521021411401100122243
6230003041515434120
711625524202642633
oct1147706146206000
9175762167816223
1042323439848448
11125382a7474230
1248b6696455940
131a80110ba0a35
14a64673173c1a
154d5de30ed933
hex267e31990c00

42323439848448 has 352 divisors, whose sum is σ = 123614832872448. Its totient is φ = 12767848038400.

The previous prime is 42323439848447. The next prime is 42323439848491. The reversal of 42323439848448 is 84484893432324.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (42323439848447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9758688136 + ... + 9758692472.

Almost surely, 242323439848448 is an apocalyptic number.

42323439848448 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 42323439848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61807416436224).

42323439848448 is an abundant number, since it is smaller than the sum of its proper divisors (81291393024000).

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

42323439848448 is a wasteful number, since it uses less digits than its factorization.

42323439848448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5581 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 66.

The spelling of 42323439848448 in words is "forty-two trillion, three hundred twenty-three billion, four hundred thirty-nine million, eight hundred forty-eight thousand, four hundred forty-eight".