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242065941975 = 32521131397641
BaseRepresentation
bin1110000101110001000…
…0010010010111010111
3212010210222202221121100
43201130100102113113
512431222340120400
6303111545121143
723326422362154
oct3413420222727
9763728687540
10242065941975
1193728a06000
123aab74891b3
1319a993c64c0
14ba04bd122b
15646b4e7100
hex385c4125d7

242065941975 has 288 divisors, whose sum is σ = 519679113408. Its totient is φ = 107053056000.

The previous prime is 242065941937. The next prime is 242065941989. The reversal of 242065941975 is 579149560242.

It is a happy number.

242065941975 is a `hidden beast` number, since 2 + 42 + 0 + 6 + 594 + 1 + 9 + 7 + 5 = 666.

It is not a de Polignac number, because 242065941975 - 29 = 242065941463 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 377637655 + ... + 377638295.

It is an arithmetic number, because the mean of its divisors is an integer number (1804441366).

Almost surely, 2242065941975 is an apocalyptic number.

242065941975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242065941975 is an abundant number, since it is smaller than the sum of its proper divisors (277613171433).

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

242065941975 is a wasteful number, since it uses less digits than its factorization.

242065941975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 242065941975 in words is "two hundred forty-two billion, sixty-five million, nine hundred forty-one thousand, nine hundred seventy-five".