242193600
242,193,600 is an even composite number composed of five prime numbers multiplied together.
242193600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 242193600:
26 × 32 × 52 × 112 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 139)See below for interesting mathematical facts about the number 242193600 from the Numbermatics database.
Names of 242193600
- Cardinal: 242193600 can be written as Two hundred forty-two million, one hundred ninety-three thousand, six hundred.
Scientific notation
- Scientific notation: 2.421936 × 108
Factors of 242193600
Divisors of 242193600
- Number of divisors d(n): 378
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 121 132 139 144 150 160 165 176 180 192 198 200 220 225 240 242 264 275 278 288 300 320 330 352 360 363 396 400 417 440 450 480 484 495 528 550 556 576 600 605 660 695 704 720 726 792 800 825 834 880 900 960 968 990 1056 1089 1100 1112 1200 1210 1251 1320 1390 1440 1452 1529 1584 1600 1650 1668 1760 1800 1815 1936 1980 2085 2112 2178 2200 2224 2400 2420 2475 2502 2640 2780 2880 2904 3025 3058 3168 3300 3336 3475 3520 3600 3630 3872 3960 4170 4356 4400 4448 4587 4800 4840 4950 5004 5280 5445 5560 5808 6050 6116 6255 6336 6600 6672 6950 7200 7260 7645 7744 7920 8340 8712 8800 8896 9075 9174 9680 9900 10008 10425 10560 10890 11120 11616 12100 12232 12510 13200 13344 13761 13900 14400 14520 15290 15840 16680 16819 17424 17600 18150 18348 19360 19800 20016 20850 21780 22240 22935 23232 24200 24464 25020 26400 26688 27225 27522 27800 29040 30580 31275 31680 33360 33638 34848 36300 36696 38225 38720 39600 40032 41700 43560 44480 45870 48400 48928 50040 50457 52800 54450 55044 55600 58080 61160 62550 66720 67276 68805 69696 72600 73392 76450 79200 80064 83400 84095 87120 91740 96800 97856 100080 100914 108900 110088 111200 114675 116160 122320 125100 133440 134552 137610 145200 146784 151371 152900 158400 166800 168190 174240 183480 193600 200160 201828 217800 220176 222400 229350 244640 250200 252285 269104 275220 290400 293568 302742 305800 333600 336380 344025 348480 366960 400320 403656 420475 435600 440352 458700 489280 500400 504570 538208 550440 580800 605484 611600 667200 672760 688050 733920 756855 807312 840950 871200 880704 917400 1000800 1009140 1076416 1100880 1210968 1223200 1261425 1345520 1376100 1467840 1513710 1614624 1681900 1742400 1834800 2001600 2018280 2201760 2421936 2446400 2522850 2691040 2752200 3027420 3229248 3363800 3669600 3784275 4036560 4403520 4843872 5045700 5382080 5504400 6054840 6727600 7339200 7568550 8073120 9687744 10091400 11008800 12109680 13455200 15137100 16146240 20182800 22017600 24219360 26910400 30274200 40365600 48438720 60548400 80731200 121096800 242193600
- Sum of all divisors σ(n): 952990220
- Sum of proper divisors (its aliquot sum) s(n): 710796620
- 242193600 is an abundant number, because the sum of its proper divisors (710796620) is greater than itself. Its abundance is 468603020
Bases of 242193600
- Binary: 11100110111110010100110000002
- Hexadecimal: 0xE6F94C0
- Base-36: 4071S0
Squares and roots of 242193600
- 242193600 squared (2421936002) is 58657739880960000
- 242193600 cubed (2421936003) is 14206529189633273856000000
-
The
square root of 242193600 is 15562.5704817681 -
The
cube root of 242193600 is 623.3341022675
Scales and comparisons
How big is 242193600?- 242,193,600 seconds is equal to 7 years, 36 weeks, 3 days, 4 hours.
-
To count from 1 to 242,193,600 would take you about eleven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 242193600 cubic inches would be around 51.9 feet tall.
Recreational maths with 242193600
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