242134684022400
242,134,684,022,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 242134684022400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
242134684022400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 242134684022400:
27 × 3 × 52 × 132 × 17 × 631 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 17 × 631 × 13913)See below for interesting mathematical facts about the number 242134684022400 from the Numbermatics database.
Names of 242134684022400
- Cardinal: 242134684022400 can be written as Two hundred forty-two trillion, one hundred thirty-four billion, six hundred eighty-four million, twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.421346840224 × 1014
Factors of 242134684022400
Divisors of 242134684022400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 128 130 136 150 156 160 169 170 192 195 200 204 208 221 240 255 260 272 300 312 320 325 338 340 384 390 400 408 416 425 442 480 507 510 520 544 600 624 631 640 650 663 676 680 780 800 816 832 845 850 884 960 975 1014 1020 1040 1088 1105 1200 1248 1262 1275 1300 1326 1352 1360 1560 1600 1632 1664 1690 1700 1768 1893 1920 1950 2028 2040 2080 2176 2210 2400 2496 2524 2535 2550 2600 2652 2704 2720 2873 3120 3155 3200 3264 3315 3380 3400 3536 3786 3900 4056 4080 4160 4225 4420 4800 4992 5048 5070 5100 5200 5304 5408 5440 5525 5746 6240 6310 6528 6630 6760 6800 7072 7572 7800 8112 8160 8203 8320 8450 8619 8840 9465 9600 10096 10140 10200 10400 10608 10727 10816 10880 11050 11492 12480 12620 12675 13260 13520 13600 13913 14144 14365 15144 15600 15775 16224 16320 16406 16575 16900 17238 17680 18930 20192 20280 20400 20800 21216 21454 21632 22100 22984 24609 24960 25240 25350 26520 27040 27200 27826 28288 28730 30288 31200 31550 32181 32448 32640 32812 33150 33800 34476 35360 37860 40384 40560 40800 41015 41600 41739 42432 42908 43095 44200 45968 47325 49218 50480 50700 53040 53635 54080 54400 55652 57460 60576 62400 63100 64362 64896 65624 66300 67600 68952 69565 70720 71825 75720 80768 81120 81600 82030 83478 84864 85816 86190 88400 91936 94650 98436 100960 101400 106080 106639 107270 108160 111304 114920 121152 123045 124800 126200 128724 131248 132600 135200 137904 139130 139451 141440 143650 151440 160905 162240 163200 164060 166956 171632 172380 176800 180869 183872 189300 196872 201920 202800 205075 208695 212160 213278 214540 215475 222608 229840 236521 242304 246090 252400 257448 262496 265200 268175 270400 275808 278260 278902 287300 302880 319917 321810 324480 328120 333912 343264 344760 347825 353600 361738 367744 378600 393744 403840 405600 410150 417390 418353 424320 426556 429080 430950 445216 459680 473042 492180 504800 514896 524992 530400 533195 536350 540800 542607 551616 556520 557804 574600 605760 615225 639834 643620 656240 667824 686528 689520 695650 697255 707200 709563 723476 757200 787488 804525 811200 820300 834780 836706 853112 858160 861900 890432 904345 919360 946084 984360 1009600 1029792 1043475 1049984 1060800 1066390 1072700 1085214 1103232 1113040 1115608 1149200 1182605 1211520 1230450 1279668 1287240 1312480 1335648 1373056 1379040 1391300 1394510 1419126 1446952 1514400 1574976 1599585 1609050 1622400 1640600 1669560 1673412 1706224 1716320 1723800 1780864 1808690 1812863 1838720 1892168 1968720 2019200 2059584 2086950 2091765 2121600 2132780 2145400 2170428 2226080 2231216 2298400 2351297 2365210 2460900 2559336 2574480 2624960 2665975 2671296 2713035 2758080 2782600 2789020 2838252 2893904 3028800 3074773 3149952 3199170 3218100 3281200 3339120 3346824 3412448 3432640 3447600 3486275 3547815 3617380 3625726 3784336 3937440 4119168 4173900 4183530 4265560 4290800 4340856 4452160 4462432 4521725 4596800 4702594 4730420 4921800 5118672 5148960 5249920 5331950 5342592 5426070 5438589 5516160 5565200 5578040 5676504 5787808 5913025 6057600 6149546 6398340 6436200 6562400 6678240 6693648 6824896 6865280 6895200 6972550 7053891 7095630 7234760 7251452 7568672 7874880 7997925 8347800 8367060 8531120 8581600 8681712 8779103 8904320 8924864 9043450 9064315 9193600 9224319 9405188 9460840 9843600 10237344 10297920 10458825 10663900 10852140 10877178 11130400 11156080 11353008 11575616 11756485 11826050 12299092 12796680 12872400 13124800 13356480 13387296 13565175 13649792 13790400 13945100 14107782 14191260 14469520 14502904 15137344 15373865 15749760 15995850 16695600 16734120 17062240 17163200 17363424 17558206 17739075 17849728 18086900 18128630 18448638 18810376 18921680 19687200 20474688 20595840 20917650 21327800 21704280 21754356 22260800 22312160 22706016 23151232 23512970 23652100 24598184 25593360 25744800 26249600 26337309 26712960 26774592 27130350 27192945 27580800 27890200 28215564 28382520 28939040 29005808 30274688 30747730 31991700 33391200 33468240 34124480 34326400 34726848 35116412 35269455 35478150 36173800 36257260 36897276 37620752 37843360 39374400 39972049 40949376 41835300 42655600 43408560 43508712 43895515 44521600 44624320 45321575 45412032 46121595 47025940 47304200 49196368 51186720 51489600 52674618 53549184 54260700 54385890 55780400 56431128 56765040 57878080 58011616 58782425 61495460 63983400 66782400 66936480 68248960 69453696 70232824 70538910 70956300 72347600 72514520 73794552 75241504 75686720 76869325 78748800 79944098 83670600 85311200 86817120 87017424 87791030 89248640 90643150 90824064 92243190 94051880 94608400 98392736 102373440 102979200 105349236 108521400 108771780 111560800 112862256 113530080 114128339 115756160 116023232 117564850 119916147 122990920 127966800 131686545 133564800 133872960 135964725 140465648 141077820 141912600 144695200 145029040 147589104 149244751 150483008 151373440 153738650 159888196 167341200 170622400 173634240 174034848 175582060 176347275 181286300 184486380 188103760 189216800 196785472 199860245 204746880 210698472 217042800 217543560 219477575 223121600 225724512 227060160 228256678 230607975 232046464 235129700 239832294 245981840 255933600 263373090 267745920 271929450 280931296 282155640 283825200 289390400 290058080 295178208 298489502 300966016 307477300 319776392 334682400 341244800 342385017 347268480 348069696 351164120 352694550 362572600 368972760 376207520 378433600 393570944 399720490 421396944 434085600 435087120 438955150 446243200 447734253 451449024 454120320 456513356 461215950 470259400 479664588 491963680 511867200 526746180 543858900 561862592 564311280 567650400 570641695 578780800 580116160 590356416 596979004 599580735 614954600 639552784 658432725 669364800 684770034 696139392 702328240 705389100 725145200 737945520 746223755 752415040 756867200 799440980 842793888 868171200 870174240 877910300 895468506 902898048 913026712 922431900 940518800 959329176 983927360 999301225 1023734400 1053492360 1087717800 1123725184 1128622560 1135300800 1141283390 1160232320 1180712832 1193958008 1199161470 1229909200 1279105568 1316865450 1338729600 1369540068 1404656480 1410778200 1450290400 1475891040 1483668407 1492447510 1504830080 1598881960 1685587776 1711925085 1736342400 1740348480 1755820600 1790937012 1826053424 1844863800 1881037600 1918658352 1940181763 1967854720 1998602450 2106984720 2175435600 2238671265 2257245120 2270601600 2282566780 2387916016 2398322940 2459818400 2558211136 2633730900 2739080136 2809312960 2821556400 2853208475 2900580800 2951782080 2967336814 2984895020 2997903675 3197763920 3371175552 3423850170 3480696960 3511641200 3581874024 3652106848 3689727600 3731118775 3762075200 3837316704 3880363526 3997204900 4213969440 4350871200 4451005221 4477342530 4514490240 4565133560 4775832032 4796645880 4919636800 5116422272 5267461800 5478160272 5618625920 5643112800 5706416950 5801161600 5820545289 5903564160 5934673628 5969790040 5995807350 6395527840 6847700340 7023282400 7163748048 7304213696 7379455200 7418342035 7462237550 7524150400 7674633408 7760727052 7994409800 8427938880 8559625425 8701742400 8902010442 8954685060 9130267120 9551664064 9593291760 9700908815 9839273600 10534923600 10956320544 11193356325 11286225600 11412833900 11641090578 11869347256 11939580080 11991614700 12791055680 13695400680 14046564800 14327496096 14608427392 14758910400 14836684070 14924475100 15349266816 15521454104 15988819600 16855877760 17119250850 17403484800 17804020884 17909370120 18260534240 19103328128 19186583520 19401817630 21069847200 21912641088 22255026105 22386712650 22572451200 22825667800 23282181156 23738694512 23879160160 23983229400 25222362919 25582111360 27390801360 28093129600 28654992192 29102726445 29517820800 29673368140 29848950200 31042908208 31977639200 34238501700 35608041768 35818740240 36521068480 37091710175 38373167040 38803635260 42139694400 43825282176 44510052210 44773425300 45651335600 46564362312 47477389024 47758320320 47966458800 48504544075 50444725838 54781602720 57309984384 58205452890 59346736280 59697900400 62085816416 63955278400 68477003400 71216083536 71637480480 73042136960 74183420350 75667088757 76746334080 77607270520 84279388800 89020104420 89546850600 91302671200 93128724624 94954778048 95516640640 95932917600 97009088150 100889451676 109563205440 111275130525 116410905780 118693472560 119395800800 124171632832 126111814595 127910556800 136954006800 142432167072 143274960960 145513632225 148366840700 151334177514 155214541040 178040208840 179093701200 182605342400 186257449248 189909556096 191865835200 194018176300 201778903352 219126410880 222550261050 232821811560 237386945120 238791601600 248343265664 252223629190 273908013600 284864334144 286549921920 291027264450 296733681400 302668355028 310429082080 356080417680 358187402400 365210684800 372514898496 378335443785 383731670400 388036352600 403557806704 445100522100 465643623120 474773890240 477583203200 504447258380 547816027200 569728668288 582054528900 593467362800 605336710056 620858164160 630559072975 712160835360 716374804800 745029796992 756670887570 776072705200 807115613408 890201044200 931287246240 949547780480 1008894516760 1095632054400 1164109057800 1186934725600 1210673420112 1241716328320 1261118145950 1424321670720 1432749609600 1513341775140 1552145410400 1614231226816 1780402088400 1862574492480 1891677218925 2017789033520 2328218115600 2373869451200 2421346840224 2522236291900 2848643341440 3026683550280 3104290820800 3228462453632 3560804176800 3725148984960 3783354437850 4035578067040 4656436231200 4747738902400 4842693680448 5044472583800 6053367100560 6208581641600 7121608353600 7566708875700 8071156134080 9312872462400 9685387360896 10088945167600 12106734201120 14243216707200 15133417751400 16142312268160 18625744924800 20177890335200 24213468402240 30266835502800 40355780670400 48426936804480 60533671005600 80711561340800 121067342011200 242134684022400
- Sum of all divisors σ(n): 915913663309440
- Sum of proper divisors (its aliquot sum) s(n): 673778979287040
- 242134684022400 is an abundant number, because the sum of its proper divisors (673778979287040) is greater than itself. Its abundance is 431644295264640
Bases of 242134684022400
- Binary: 1101110000111000010111111101010000110110100000002
- Hexadecimal: 0xDC385FD43680
- Base-36: 2DTV4Z4UIO
Squares and roots of 242134684022400
- 242134684022400 squared (2421346840224002) is 58629205206627489843701760000
- 242134684022400 cubed (2421346840224003) is 14196164077191196155646390820342759424000000
-
The
square root of 242134684022400 is 15560677.4923973023 -
The
cube root of 242134684022400 is 62328.3554116039
Scales and comparisons
How big is 242134684022400?- 242,134,684,022,400 seconds is equal to 7,699,133 years, 50 weeks, 6 days, 18 hours, 40 minutes.
-
To count from 1 to 242,134,684,022,400 would take you about nineteen million, two hundred forty-seven thousand, eight hundred thirty-four 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 242134684022400 cubic inches would be around 5194 feet tall.
Recreational maths with 242134684022400
- 242134684022400 backwards is 004220486431242
- The number of decimal digits it has is: 15
- The sum of 242134684022400's digits is 42
- More coming soon!
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The information we have on file for 242134684022400 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 242134684022400, math, Factors of 242134684022400, curriculum, school, college, exams, university, Prime factorization of 242134684022400, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, one hundred thirty-four billion, six hundred eighty-four million, twenty-two thousand, four hundred.