242174085120
242,174,085,120 is an even composite number composed of six prime numbers multiplied together.
242174085120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 242174085120:
211 × 34 × 5 × 112 × 19 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 19 × 127)See below for interesting mathematical facts about the number 242174085120 from the Numbermatics database.
Names of 242174085120
- Cardinal: 242174085120 can be written as Two hundred forty-two billion, one hundred seventy-four million, eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.4217408512 × 1011
Factors of 242174085120
Divisors of 242174085120
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 32 33 36 38 40 44 45 48 54 55 57 60 64 66 72 76 80 81 88 90 95 96 99 108 110 114 120 121 127 128 132 135 144 152 160 162 165 171 176 180 190 192 198 209 216 220 228 240 242 254 256 264 270 285 288 297 304 320 324 330 342 352 360 363 380 381 384 396 405 418 432 440 456 480 484 495 508 512 513 528 540 570 576 594 605 608 627 635 640 648 660 684 704 720 726 760 762 768 792 810 836 855 864 880 891 912 960 968 990 1016 1024 1026 1045 1056 1080 1089 1140 1143 1152 1188 1210 1216 1254 1270 1280 1296 1320 1368 1397 1408 1440 1452 1485 1520 1524 1536 1539 1584 1620 1672 1710 1728 1760 1782 1815 1824 1881 1905 1920 1936 1980 2032 2048 2052 2090 2112 2160 2178 2280 2286 2299 2304 2376 2413 2420 2432 2508 2540 2560 2565 2592 2640 2736 2794 2816 2880 2904 2970 3040 3048 3072 3078 3135 3168 3240 3267 3344 3420 3429 3456 3520 3564 3630 3648 3762 3810 3840 3872 3960 4064 4104 4180 4191 4224 4320 4356 4455 4560 4572 4598 4608 4752 4826 4840 4864 5016 5080 5120 5130 5184 5280 5445 5472 5588 5632 5643 5715 5760 5808 5940 6080 6096 6144 6156 6270 6336 6480 6534 6688 6840 6858 6897 6912 6985 7040 7128 7239 7260 7296 7524 7620 7680 7695 7744 7920 8128 8208 8360 8382 8448 8640 8712 8910 9120 9144 9196 9216 9405 9504 9652 9680 9728 9801 10032 10160 10240 10260 10287 10368 10560 10890 10944 11176 11264 11286 11430 11495 11520 11616 11880 12065 12160 12192 12312 12540 12573 12672 12960 13068 13376 13680 13716 13794 13824 13970 14080 14256 14478 14520 14592 15048 15240 15360 15367 15390 15488 15840 16256 16335 16416 16720 16764 16896 16929 17145 17280 17424 17820 18240 18288 18392 18432 18810 19008 19304 19360 19456 19602 20064 20320 20520 20574 20691 20736 20955 21120 21717 21780 21888 22352 22528 22572 22860 22990 23040 23232 23760 24130 24320 24384 24624 25080 25146 25344 25920 26136 26543 26752 27360 27432 27588 27648 27940 28160 28215 28512 28956 29040 29184 30096 30480 30720 30734 30780 30976 31680 32512 32670 32832 33440 33528 33792 33858 34290 34485 34560 34848 35640 36195 36480 36576 36784 37620 37719 38016 38608 38720 38912 39204 40128 40640 41040 41148 41382 41472 41910 42240 43434 43560 43776 44704 45144 45720 45980 46080 46101 46464 47520 48260 48640 48768 49005 49248 50160 50292 50688 51435 51840 52272 53086 53504 54720 54864 55176 55296 55880 56320 56430 57024 57912 58080 58368 60192 60960 61468 61560 61952 62073 62865 63360 65024 65151 65340 65664 66880 67056 67584 67716 68580 68970 69120 69696 71280 72390 72960 73152 73568 75240 75438 76032 76835 77216 77440 78408 79629 80256 81280 82080 82296 82764 82944 83820 84480 84645 86868 87120 87552 89408 90288 91440 91960 92160 92202 92928 95040 96520 97280 97536 98010 98496 100320 100584 101376 102870 103455 103680 104544 106172 107008 108585 109440 109728 110352 111760 112640 112860 113157 114048 115824 116160 116736 120384 121920 122936 123120 123904 124146 125730 126720 130048 130302 130680 131328 132715 133760 134112 135432 137160 137940 138240 138303 139392 142560 144780 145920 146304 147136 150480 150876 152064 153670 154432 154880 156816 159258 160512 162560 164160 164592 165528 165888 167640 168960 169290 173736 174240 175104 178816 180576 182880 183920 184404 185856 186219 188595 190080 193040 194560 195072 195453 196020 196992 200640 201168 202752 205740 206910 207360 209088 212344 214016 217170 218880 219456 220704 223520 225720 226314 228096 230505 231648 232320 238887 240768 243840 245872 246240 247808 248292 251460 253440 260096 260604 261360 262656 265430 267520 268224 270864 274320 275880 276480 276606 278784 285120 289560 291840 291973 292608 294272 300960 301752 304128 307340 308864 309760 310365 313632 318516 321024 325120 325755 328320 329184 331056 335280 337920 338580 347472 348480 350208 357632 361152 365760 367840 368808 371712 372438 377190 380160 386080 390144 390906 392040 393984 398145 401280 402336 411480 413820 414720 414909 418176 424688 428032 434340 437760 438912 441408 447040 451440 452628 456192 461010 463296 464640 477774 481536 487680 491744 492480 496584 502920 506880 521208 522720 525312 530860 535040 536448 541728 548640 551760 553212 557568 565785 570240 579120 583680 583946 585216 588544 601920 603504 608256 614680 617728 619520 620730 627264 637032 642048 650240 651510 656640 658368 662112 670560 677160 691515 694944 696960 715264 716661 722304 731520 735680 737616 743424 744876 754380 760320 772160 780288 781812 784080 787968 796290 802560 804672 822960 827640 829440 829818 836352 849376 868680 875520 875919 877824 882816 894080 902880 905256 912384 922020 926592 929280 931095 955548 963072 975360 977265 983488 984960 993168 1005840 1013760 1042416 1045440 1050624 1061720 1070080 1072896 1083456 1097280 1103520 1106424 1115136 1131570 1140480 1158240 1167892 1170432 1177088 1194435 1203840 1207008 1229360 1235456 1239040 1241460 1244727 1254528 1274064 1284096 1300480 1303020 1313280 1316736 1324224 1341120 1354320 1383030 1389888 1393920 1430528 1433322 1444608 1459865 1463040 1471360 1475232 1489752 1508760 1520640 1544320 1563624 1568160 1575936 1592580 1605120 1609344 1645920 1655280 1659636 1672704 1698752 1737360 1751040 1751838 1755648 1765632 1788160 1805760 1810512 1824768 1844040 1853184 1858560 1862190 1911096 1926144 1950720 1954530 1966976 1969920 1986336 2011680 2074545 2084832 2090880 2123440 2140160 2145792 2149983 2166912 2194560 2207040 2212848 2230272 2263140 2280960 2316480 2335784 2340864 2354176 2388870 2407680 2414016 2458720 2470912 2482920 2489454 2509056 2548128 2606040 2626560 2627757 2633472 2648448 2682240 2708640 2766060 2779776 2787840 2861056 2866644 2889216 2919730 2926080 2942720 2950464 2979504 3017520 3041280 3088640 3127248 3136320 3151872 3185160 3210240 3218688 3291840 3310560 3319272 3345408 3397504 3474720 3503676 3511296 3531264 3576320 3583305 3611520 3621024 3688080 3706368 3717120 3724380 3822192 3852288 3901440 3909060 3933952 3939840 3972672 4023360 4149090 4169664 4181760 4246880 4291584 4299966 4333824 4379595 4389120 4414080 4425696 4526280 4561920 4632960 4671568 4708352 4777740 4815360 4828032 4917440 4941824 4965840 4978908 5018112 5096256 5212080 5253120 5255514 5266944 5296896 5364480 5417280 5532120 5559552 5575680 5733288 5778432 5839460 5852160 5885440 5900928 5959008 6035040 6177280 6223635 6254496 6272640 6370320 6420480 6437376 6583680 6621120 6638544 6690816 6795008 6949440 7007352 7022592 7062528 7152640 7166610 7223040 7242048 7376160 7412736 7448760 7644384 7818120 7867904 7879680 7883271 7945344 8046720 8298180 8339328 8363520 8493760 8583168 8599932 8667648 8759190 8778240 8828160 8851392 9052560 9123840 9265920 9343136 9555480 9630720 9656064 9834880 9931680 9957816 10036224 10192512 10424160 10511028 10533888 10593792 10728960 10749915 10834560 11064240 11119104 11151360 11466576 11556864 11678920 11704320 11770880 11801856 11918016 12070080 12354560 12447270 12508992 12545280 12740640 12874752 13138785 13167360 13242240 13277088 13590016 13898880 14014704 14125056 14305280 14333220 14446080 14484096 14752320 14825472 14897520 15288768 15636240 15735808 15759360 15766542 15890688 16093440 16596360 16678656 16727040 16987520 17199864 17335296 17518380 17556480 17656320 17702784 18105120 18531840 18686272 19110960 19261440 19312128 19669760 19863360 19915632 20072448 20385024 20848320 21022056 21067776 21187584 21457920 21499830 21669120 22128480 22238208 22933152 23357840 23541760 23603712 23649813 23836032 24140160 24709120 24894540 25017984 25090560 25481280 25749504 26277570 26334720 26484480 26554176 27180032 27797760 28029408 28666440 28892160 28968192 29504640 29795040 30577536 31272480 31471616 31533084 31781376 32186880 33192720 33357312 33454080 33975040 34399728 34670592 35036760 35112960 35312640 35405568 36210240 37063680 37372544 38221920 38624256 39339520 39416355 39726720 39831264 40770048 41696640 42044112 42375168 42915840 42999660 43338240 44256960 44476416 45866304 46715680 47207424 47299626 47672064 48280320 49789080 50035968 50181120 50962560 52555140 52669440 52968960 53108352 54360064 55595520 56058816 57332880 57784320 57936384 59009280 59590080 61155072 62544960 63066168 63562752 64373760 66385440 66714624 67950080 68799456 70073520 70625280 70811136 72420480 74127360 74745088 76443840 77248512 78679040 78832710 79453440 79662528 81540096 83393280 84088224 85999320 86676480 88513920 91732608 93431360 94414848 94599252 95344128 96560640 99578160 100071936 100362240 101925120 105110280 105338880 105937920 106216704 111191040 112117632 114665760 115872768 118018560 118249065 119180160 122310144 125089920 126132336 127125504 128747520 132770880 133429248 135900160 137598912 140147040 141622272 144840960 149490176 152887680 157358080 157665420 158906880 159325056 163080192 166786560 168176448 171998640 173352960 177027840 183465216 186862720 189198504 190688256 193121280 199156320 200143872 203850240 210220560 211875840 212433408 222382080 224235264 229331520 231745536 236037120 236498130 238360320 244620288 250179840 252264672 265541760 271800320 275197824 280294080 283244544 289681920 298980352 305775360 315330840 317813760 318650112 333573120 336352896 343997280 354055680 366930432 373725440 378397008 381376512 386242560 398312640 400287744 407700480 420441120 424866816 448470528 458663040 472074240 472996260 476720640 489240576 500359680 504529344 531083520 550395648 560588160 579363840 597960704 611550720 630661680 635627520 637300224 667146240 672705792 687994560 708111360 733860864 747450880 756794016 796625280 815400960 840882240 849733632 896941056 917326080 945992520 953441280 1000719360 1009058688 1062167040 1100791296 1121176320 1158727680 1223101440 1261323360 1274600448 1345411584 1375989120 1416222720 1467721728 1494901760 1513588032 1593250560 1681764480 1793882112 1834652160 1891985040 1906882560 2001438720 2018117376 2124334080 2201582592 2242352640 2446202880 2522646720 2549200896 2690823168 2751978240 2989803520 3027176064 3186501120 3363528960 3669304320 3783970080 4036234752 4248668160 4403165184 4484705280 5045293440 5381646336 5503956480 6054352128 6373002240 6727057920 7338608640 7567940160 8072469504 8969410560 10090586880 11007912960 12108704256 12746004480 13454115840 15135880320 16144939008 20181173760 22015825920 24217408512 26908231680 30271760640 40362347520 48434817024 60543521280 80724695040 121087042560 242174085120
- Sum of all divisors σ(n): 1012236825600
- Sum of proper divisors (its aliquot sum) s(n): 770062740480
- 242174085120 is an abundant number, because the sum of its proper divisors (770062740480) is greater than itself. Its abundance is 527888655360
Bases of 242174085120
- Binary: 111000011000101011001101001000000000002
- Hexadecimal: 0x3862B34800
- Base-36: 33947400
Squares and roots of 242174085120
- 242174085120 squared (2421740851202) is 58648287503709005414400
- 242174085120 cubed (2421740851203) is 14203095370065456992937446473728000
-
The
square root of 242174085120 is 492111.8624052869 -
The
cube root of 242174085120 is 6233.1735999053
Scales and comparisons
How big is 242174085120?- 242,174,085,120 seconds is equal to 7,700 years, 20 weeks, 19 hours, 12 minutes.
-
To count from 1 to 242,174,085,120 would take you about fifteen thousand, four hundred 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 242174085120 cubic inches would be around 519.4 feet tall.
Recreational maths with 242174085120
- 242174085120 backwards is 021580471242
- 242174085120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 242174085120's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 242174085120 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 242174085120 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/242174085120/
Chicago style:
Numbermatics. 2024. "Number 242174085120 - Facts about the integer". https://numbermatics.com/n/242174085120/
The information we have on file for 242174085120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 242174085120, math, Factors of 242174085120, curriculum, school, college, exams, university, Prime factorization of 242174085120, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two billion, one hundred seventy-four million, eighty-five thousand, one hundred twenty.