142072097680331520
142,072,097,680,331,520 is an even composite number composed of eight prime numbers multiplied together.
What does the number 142072097680331520 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
142072097680331520 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 142072097680331520:
28 × 3 × 5 × 13 × 31 × 97 × 181 × 5229043
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 31 × 97 × 181 × 5229043)See below for interesting mathematical facts about the number 142072097680331520 from the Numbermatics database.
Names of 142072097680331520
- Cardinal: 142072097680331520 can be written as One hundred forty-two quadrillion, seventy-two trillion, ninety-seven billion, six hundred eighty million, three hundred thirty-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.4207209768033152 × 1017
Factors of 142072097680331520
Divisors of 142072097680331520
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 32 39 40 48 52 60 62 64 65 78 80 93 96 97 104 120 124 128 130 155 156 160 181 186 192 194 195 208 240 248 256 260 291 310 312 320 362 372 384 388 390 403 416 465 480 485 496 520 543 582 620 624 640 724 744 768 776 780 806 832 905 930 960 970 992 1040 1086 1164 1209 1240 1248 1261 1280 1448 1455 1488 1552 1560 1612 1664 1810 1860 1920 1940 1984 2015 2080 2172 2328 2353 2418 2480 2496 2522 2715 2896 2910 2976 3007 3104 3120 3224 3328 3620 3720 3783 3840 3880 3968 4030 4160 4344 4656 4706 4836 4960 4992 5044 5430 5611 5792 5820 5952 6014 6045 6208 6240 6305 6448 7059 7240 7440 7566 7760 7936 8060 8320 8688 9021 9312 9412 9672 9920 9984 10088 10860 11222 11584 11640 11765 11904 12028 12090 12416 12480 12610 12896 14118 14480 14880 15035 15132 15520 16120 16640 16833 17376 17557 18042 18624 18824 18915 19344 19840 20176 21720 22444 23168 23280 23530 23808 24056 24180 24832 24960 25220 25792 28055 28236 28960 29760 30070 30264 31040 32240 33666 34752 35114 35295 36084 37248 37648 37830 38688 39091 39680 40352 43440 44888 45105 46336 46560 47060 48112 48360 49920 50440 51584 52671 56110 56472 57920 59520 60140 60528 62080 64480 67332 69504 70228 70590 72168 72943 74496 75296 75660 77376 78182 80704 84165 86880 87785 89776 90210 93120 94120 96224 96720 100880 103168 105342 112220 112944 115840 117273 119040 120280 121056 124160 128960 134664 139008 140456 141180 144336 145886 150592 151320 154752 156364 161408 168330 173760 175570 179552 180420 186240 188240 192448 193440 195455 201760 210684 218829 224440 225888 228241 231680 234546 240560 242112 257920 263355 269328 280912 282360 288672 291772 301184 302640 309504 312728 322816 336660 347520 351140 359104 360840 364715 372480 376480 384896 386880 390910 403520 421368 437658 448880 451776 456482 469092 481120 484224 515840 526710 538656 544267 561824 564720 577344 583544 586365 602368 605280 625456 673320 684723 695040 702280 718208 721680 729430 752960 769792 773760 781820 807040 842736 875316 897760 903552 912964 938184 962240 968448 1053420 1077312 1088534 1094145 1123648 1129440 1141205 1154688 1167088 1172730 1210560 1250912 1346640 1369446 1404560 1436416 1443360 1458860 1505920 1547520 1563640 1614080 1632801 1685472 1750632 1795520 1807104 1825928 1876368 1924480 2106840 2154624 2177068 2188290 2247296 2258880 2282410 2309376 2334176 2345460 2421120 2501824 2693280 2721335 2738892 2809120 2886720 2917720 3011840 3127280 3265602 3370944 3423615 3501264 3591040 3651856 3752736 3848960 4213680 4309248 4354136 4376580 4494592 4517760 4564820 4668352 4690920 4842240 5003648 5229043 5386560 5442670 5477784 5618240 5773440 5835440 6254560 6531204 6741888 6847230 7002528 7075471 7182080 7303712 7505472 8164005 8427360 8708272 8753160 9035520 9129640 9336704 9381840 10007296 10458086 10773120 10885340 10955568 11236480 11546880 11670880 12509120 13062408 13483776 13694460 14005056 14150942 14607424 15010944 15687129 16328010 16854720 17416544 17506320 18259280 18673408 18763680 20916172 21226413 21546240 21770680 21911136 22472960 23341760 25018240 26124816 26145215 27388920 28010112 28301884 29214848 30021888 31374258 32656020 33709440 34833088 35012640 35377355 36518560 37527360 41832344 42452826 43541360 43822272 46683520 50036480 52249632 52290430 54777840 56020224 56603768 58429696 62748516 65312040 67418880 67977559 69666176 70025280 70754710 73037120 75054720 78435645 83664688 84905652 87082720 87644544 93367040 104499264 104580860 106132065 109555680 113207536 125497032 130624080 135955118 139332352 140050560 141509420 146074240 150109440 156871290 162100333 167329376 169811304 174165440 175289088 203932677 208998528 209161720 212264130 219111360 226415072 250994064 261248160 271910236 280101120 283018840 292148480 313742580 324200666 334658752 339622608 339887795 348330880 407865354 417997056 418323440 424528260 438222720 452830144 486300999 501988128 507217171 522496320 543820472 566037680 627485160 648401332 669317504 679245216 679775590 696661760 810501665 815730708 836646880 849056520 876445440 905660288 946456783 972601998 1003976256 1014434342 1019663385 1044992640 1087640944 1132075360 1254970320 1296802664 1338635008 1358490432 1359551180 1521651513 1621003330 1631461416 1673293760 1698113040 1811320576 1892913566 1945203996 2007952512 2028868684 2039326770 2089985280 2107304329 2175281888 2264150720 2431504995 2509940640 2536085855 2593605328 2716980864 2719102360 2839370349 3043303026 3242006660 3262922832 3346587520 3396226080 3785827132 3890407992 4015905024 4057737368 4078653540 4214608658 4350563776 4528301440 4732283915 4863009990 5019881280 5072171710 5187210656 5433961728 5438204720 5678740698 6086606052 6321912987 6484013320 6525845664 6593823223 6693175040 6792452160 7571654264 7608257565 7780815984 8115474736 8157307080 8429217316 8701127552 9056602880 9464567830 9726019980 10039762560 10144343420 10374421312 10536521645 10876409440 11357481396 12173212104 12303938179 12643825974 12968026640 13051691328 13187646446 13584904320 14196851745 15143308528 15216515130 15561631968 15723732301 16230949472 16314614160 16858434632 17402255104 18929135660 19452039960 19781469669 20079525120 20288686840 20748842624 21073043290 21752818880 22714962792 24346424208 24607876358 25287651948 25936053280 26103382656 26375292892 27169808640 28393703490 29340160273 30286617056 30433030260 31123263936 31447464602 31609564935 32461898944 32629228320 32969116115 33716869264 36911814537 37858271320 38904079920 39562939338 40577373680 41497685248 42146086580 43505637760 45429925584 47171196903 48692848416 49215752716 50575303896 51872106560 52206765312 52750585784 56787406980 58680320546 60573234112 60866060520 61519690895 62246527872 62894929204 63219129870 64923797888 65258456640 65938232230 67433738528 73823629074 75716542640 77808159840 78618661505 79125878676 81154747360 84292173160 87011275520 88020480819 90859851168 91806307951 94342393806 97385696832 98431505432 98907348345 101150607792 103744213120 105501171568 113574813960 117360641092 121146468224 121732121040 123039381790 124493055744 125789858408 126438259740 129847595776 130516913280 131876464460 134867477056 146700801365 147647258148 151433085280 155616319680 157237323010 158251757352 162309494720 168584346320 176040961638 181719702336 183612615902 184559072685 188684787612 194771393664 196863010864 197814696690 202301215584 204408519913 207488426240 211002343136 227149627920 234721282184 235855984515 242292936448 243464242080 246078763580 251579716816 252876519480 261033826560 263752928920 269734954112 275418923853 293401602730 295294516296 302866170560 311232639360 314474646020 316503514704 324618989440 337168692640 352081923276 363439404672 367225231804 369118145370 377369575224 381422083549 389542787328 393726021728 395629393380 404602431168 408817039826 422004686272 440102404095 454299255840 459031539755 469442564368 471711969030 486928484160 492157527160 503159433632 505753038960 527505857840 539469908224 550837847706 586803205460 590589032592 605732341120 613225559739 622465278720 628949292040 633007029408 649237978880 674337385280 704163846552 726878809344 734450463608 738236290740 754739150448 762844167098 787452043456 791258786760 809204862336 817634079652 844009372544 880204808190 908598511680 918063079510 938885128736 943423938060 973856968320 984315054320 1006318867264 1011506077920 1022042599565 1055011715680 1101675695412 1144266250647 1173606410920 1181178065184 1193482003363 1211464682240 1226451119478 1257898584080 1266014058816 1348674770560 1377094619265 1408327693104 1468900927216 1476472581480 1509478300896 1525688334196 1574904086912 1582517573520 1618409724672 1635268159304 1688018745088 1760409616380 1817197023360 1836126159020 1877770257472 1886847876120 1907110417745 1947713936640 1968630108640 2012637734528 2023012155840 2044085199130 2110023431360 2203351390824 2288532501294 2347212821840 2362356130368 2386964006726 2452902238956 2515797168160 2532028117632 2697349541120 2754189238530 2816655386208 2845995546481 2937801854432 2952945162960 3018956601792 3051376668392 3066127798695 3149808173824 3165035147040 3270536318608 3520819232760 3580446010089 3634394046720 3672252318040 3755540514944 3773695752240 3814220835490 3937260217280 4025275469056 4046024311680 4088170398260 4220046862720 4406702781648 4577065002588 4694425643680 4724712260736 4773928013452 4905804477912 5031594336320 5064056235264 5508378477060 5633310772416 5691991092962 5721331253235 5875603708864 5905890325920 5967410016815 6037913203584 6102753336784 6132255597390 6330070294080 6541072637216 7041638465520 7160892020178 7344504636080 7511081029888 7547391504480 7628441670980 7874520434560 8092048623360 8176340796520 8440093725440 8537986639443 8813405563296 9154130005176 9388851287360 9449424521472 9547856026904 9811608955824 10063188672640 11016756954120 11266621544832 11383982185924 11442662506470 11751207417728 11811780651840 11934820033630 12075826407168 12205506673568 12264511194780 12660140588160 13082145274432 14083276931040 14229977732405 14321784040356 14689009272160 15094783008960 15256883341960 15749040869120 16352681593040 17075973278886 17626811126592 17902230050445 18308260010352 18777702574720 19095712053808 19623217911648 20126377345280 22033513908240 22533243089664 22767964371848 22885325012940 23502414835456 23623561303680 23869640067260 24411013347136 24529022389560 25320281176320 26164290548864 28166553862080 28459955464810 28643568080712 29378018544320 30189566017920 30513766683920 32705363186080 34151946557772 35253622253184 35804460100890 36616520020704 36997942104253 37555405149440 38191424107616 39246435823296 42689933197215 44067027816480 45535928743696 45770650025880 47247122607360 47739280134520 48822026694272 49058044779120 52328581097728 56333107724160 56919910929620 57287136161424 58756037088640 60379132035840 61027533367840 65410726372160 68303893115544 70507244506368 71608920201780 73233040041408 73995884208506 76382848215232 78492871646592 85379866394430 88134055632960 91071857487392 91541300051760 95478560269040 97644053388544 98116089558240 110993826312759 112666215448320 113839821859240 114574272322848 117512074177280 122055066735680 130821452744320 136607786231088 143217840403560 146466080082816 147991768417012 152765696430464 156985743293184 170759732788860 176268111265920 182143714974784 183082600103520 184989710521265 190957120538080 196232179116480 221987652625518 227679643718480 229148544645696 244110133471360 261642905488640 273215572462176 286435680807120 292932160165632 295983536834024 305531392860928 341519465577720 352536222531840 364287429949568 366165200207040 369979421042530 381914241076160 392464358232960 443975305251036 455359287436960 458297089291392 488220266942720 546431144924352 554969131563795 572871361614240 591967073668048 683038931155440 728574859899136 732330400414080 739958842085060 763828482152320 784928716465920 887950610502072 910718574873920 916594178582784 1092862289848704 1109938263127590 1145742723228480 1183934147336096 1366077862310880 1464660800828160 1479917684170120 1527656964304640 1775901221004144 1821437149747840 2185724579697408 2219876526255180 2291485446456960 2367868294672192 2732155724621760 2959835368340240 3551802442008288 3642874299495680 4439753052510360 4582970892913920 4735736589344384 5464311449243520 5919670736680480 7103604884016576 8879506105020720 9471473178688768 10928622898487040 11839341473360960 14207209768033152 17759012210041440 23678682946721920 28414419536066304 35518024420082880 47357365893443840 71036048840165760 142072097680331520
- Sum of all divisors σ(n): 512424535081525248
- Sum of proper divisors (its aliquot sum) s(n): 370352437401193728
- 142072097680331520 is an abundant number, because the sum of its proper divisors (370352437401193728) is greater than itself. Its abundance is 228280339720862208
Bases of 142072097680331520
- Binary: 1111110001011110111010001111100101011101100010011000000002
- Hexadecimal: 0x1F8BDD1F2BB1300
- Base-36: 12UWCSNI0DMO
Squares and roots of 142072097680331520
- 142072097680331520 squared (1420720976803315202) is 20184480939289660866045857105510400
- 142072097680331520 cubed (1420720976803315203) is 2867651547633550407495933714423707137603490807808000
-
The
square root of 142072097680331520 is 376924525.1775632601 -
The
cube root of 142072097680331520 is 521798.6257109719
Scales and comparisons
How big is 142072097680331520?- 142,072,097,680,331,520 seconds is equal to 4,517,453,248 years, 19 weeks, 6 days, 5 hours, 52 minutes.
-
To count from 1 to 142,072,097,680,331,520 would take you about thirteen billion, five hundred fifty-two million, three hundred fifty-nine thousand, seven hundred forty-five 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 142072097680331520 cubic inches would be around 43483.2 feet tall.
Recreational maths with 142072097680331520
- 142072097680331520 backwards is 025133086790270241
- 142072097680331520 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 142072097680331520's digits is 60
- More coming soon!
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"Number 142072097680331520 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 142072097680331520 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/142072097680331520/
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The information we have on file for 142072097680331520 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 142072097680331520, math, Factors of 142072097680331520, curriculum, school, college, exams, university, Prime factorization of 142072097680331520, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-two quadrillion, seventy-two trillion, ninety-seven billion, six hundred eighty million, three hundred thirty-one thousand, five hundred twenty.