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242421045048 = 23347135921181
BaseRepresentation
bin1110000111000101101…
…0111001011100111000
3212011201201222001110000
43201301122321130320
512432434241420143
6303211112153000
723341263612120
oct3416132713470
9764651861400
10242421045048
11938a03a6216
123ab96398760
1319b24b48370
14ba3a029c80
15648c78cbd3
hex38716b9738

242421045048 has 480 divisors, whose sum is σ = 850820715360. Its totient is φ = 62798353920.

The previous prime is 242421045047. The next prime is 242421045091. The reversal of 242421045048 is 840540124242.

242421045048 is a `hidden beast` number, since 2 + 4 + 2 + 42 + 104 + 504 + 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 (242421045047) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 205267018 + ... + 205268198.

It is an arithmetic number, because the mean of its divisors is an integer number (1772543157).

Almost surely, 2242421045048 is an apocalyptic number.

242421045048 is a gapful number since it is divisible by the number (28) 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 242421045048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425410357680).

242421045048 is an abundant number, since it is smaller than the sum of its proper divisors (608399670312).

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

242421045048 is a wasteful number, since it uses less digits than its factorization.

242421045048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 242421045048 in words is "two hundred forty-two billion, four hundred twenty-one million, forty-five thousand, forty-eight".