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242140423000 = 2353740518539
BaseRepresentation
bin1110000110000010110…
…0011010001101011000
3212011000011220222100211
43201200230122031120
512431400422014000
6303123205340504
723331315431050
oct3414054321530
9764004828324
10242140423000
1193766a57773
123ab18407734
1319aab973808
14ba10a5c560
156472d0a7ba
hex3860b1a358

242140423000 has 128 divisors (see below), whose sum is σ = 647788377600. Its totient is φ = 82989360000.

The previous prime is 242140422983. The next prime is 242140423027. The reversal of 242140423000 is 324041242.

It is a happy number.

242140423000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 28352731 + ... + 28361269.

It is an arithmetic number, because the mean of its divisors is an integer number (5060846700).

Almost surely, 2242140423000 is an apocalyptic number.

242140423000 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 242140423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323894188800).

242140423000 is an abundant number, since it is smaller than the sum of its proper divisors (405647954600).

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

242140423000 is a wasteful number, since it uses less digits than its factorization.

242140423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12618 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 242140423000 its reverse (324041242), we get a palindrome (242464464242).

The spelling of 242140423000 in words is "two hundred forty-two billion, one hundred forty million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 4051 7000 8102 8539 16204 17078 20255 28357 32408 34156 40510 42695 56714 59773 68312 81020 85390 101275 113428 119546 141785 162040 170780 202550 213475 226856 239092 283570 298865 341560 405100 426950 478184 506375 567140 597730 708925 810200 853900 1012750 1067375 1134280 1195460 1417850 1494325 1707800 2025500 2134750 2390920 2835700 2988650 3544625 4051000 4269500 5671400 5977300 7089250 7471625 8539000 11954600 14178500 14943250 28357000 29886500 34591489 59773000 69182978 138365956 172957445 242140423 276731912 345914890 484280846 691829780 864787225 968561692 1210702115 1383659560 1729574450 1937123384 2421404230 3459148900 4323936125 4842808460 6053510575 6918297800 8647872250 9685616920 12107021150 17295744500 24214042300 30267552875 34591489000 48428084600 60535105750 121070211500 242140423000