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242750666000 = 2453143984347
BaseRepresentation
bin1110001000010100010…
…0010011010100010000
3212012120201012112101102
43202011010103110100
512434123132303000
6303303525123532
723352405421133
oct3420504232420
9765521175342
10242750666000
1193a4a471327
123b0688595a8
1319b7821774b
14ba6bb1021a
1564ab69d3d5
hex3885113510

242750666000 has 80 divisors (see below), whose sum is σ = 587385976320. Its totient is φ = 97031638400.

The previous prime is 242750665973. The next prime is 242750666021. The reversal of 242750666000 is 666057242.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835827 + ... + 2920173.

It is an arithmetic number, because the mean of its divisors is an integer number (7342324704).

Almost surely, 2242750666000 is an apocalyptic number.

242750666000 is a gapful number since it is divisible by the number (20) 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 242750666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293692988160).

242750666000 is an abundant number, since it is smaller than the sum of its proper divisors (344635310320).

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

242750666000 is a wasteful number, since it uses less digits than its factorization.

242750666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85809 (or 85793 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 242750666000 in words is "two hundred forty-two billion, seven hundred fifty million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1439 2000 2878 5756 7195 11512 14390 23024 28780 35975 57560 71950 84347 115120 143900 168694 179875 287800 337388 359750 421735 575600 674776 719500 843470 1349552 1439000 1686940 2108675 2878000 3373880 4217350 6747760 8434700 10543375 16869400 21086750 33738800 42173500 84347000 121375333 168694000 242750666 485501332 606876665 971002664 1213753330 1942005328 2427506660 3034383325 4855013320 6068766650 9710026640 12137533300 15171916625 24275066600 30343833250 48550133200 60687666500 121375333000 242750666000