378816133816995048
378,816,133,816,995,048 is an even composite number composed of five prime numbers multiplied together.
What does the number 378816133816995048 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
378816133816995048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 378816133816995048:
23 × 38 × 294 × 61 × 4092
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 29 × 29 × 29 × 29 × 61 × 409 × 409)See below for interesting mathematical facts about the number 378816133816995048 from the Numbermatics database.
Names of 378816133816995048
- Cardinal: 378816133816995048 can be written as Three hundred seventy-eight quadrillion, eight hundred sixteen trillion, one hundred thirty-three billion, eight hundred sixteen million, nine hundred ninety-five thousand and forty-eight.
Scientific notation
- Scientific notation: 3.78816133816995048 × 1017
Factors of 378816133816995048
Divisors of 378816133816995048
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 61 72 81 87 108 116 122 162 174 183 216 232 243 244 261 324 348 366 409 486 488 522 549 648 696 729 732 783 818 841 972 1044 1098 1227 1458 1464 1566 1636 1647 1682 1769 1944 2088 2187 2196 2349 2454 2523 2916 3132 3272 3294 3364 3538 3681 4374 4392 4698 4908 4941 5046 5307 5832 6264 6561 6588 6728 7047 7076 7362 7569 8748 9396 9816 9882 10092 10614 11043 11861 13122 13176 14094 14152 14724 14823 15138 15921 17496 18792 19764 20184 21141 21228 22086 22707 23722 24389 24949 26244 28188 29448 29646 30276 31842 33129 35583 39528 42282 42456 44172 44469 45414 47444 47763 48778 49898 51301 52488 56376 59292 60552 63423 63684 66258 68121 71166 73167 74847 84564 88344 88938 90828 94888 95526 97556 99387 99796 102602 106749 118584 126846 127368 132516 133407 136242 142332 143289 146334 149694 153903 167281 169128 177876 181656 190269 191052 195112 198774 199592 204363 205204 213498 219501 224541 253692 265032 266814 272484 284664 286578 292668 298161 299388 307806 320247 334562 343969 355752 380538 382104 397548 400221 408726 410408 426996 429867 439002 449082 461709 501843 507384 533628 544968 573156 585336 596322 598776 613089 615612 640494 658503 669124 673623 687938 707281 723521 761076 795096 800442 817452 853992 859734 878004 894483 898164 923418 960741 1003686 1031907 1067256 1146312 1192644 1226178 1231224 1280988 1289601 1317006 1338248 1347246 1375876 1385127 1414562 1447042 1487729 1505529 1522152 1600884 1634904 1719468 1756008 1788966 1796328 1839267 1846836 1921482 1975509 2007372 2020869 2063814 2121843 2170563 2385288 2452356 2561976 2579202 2634012 2683449 2694492 2751752 2770254 2829124 2882223 2894084 2975458 3011058 3095721 3201768 3438936 3577932 3678534 3693672 3842964 3868803 3951018 4014744 4041738 4127628 4155381 4243686 4341126 4463187 4516587 4851149 4904712 5158404 5268024 5366898 5388984 5517801 5540508 5658248 5764446 5788168 5926527 5950916 6022116 6062607 6191442 6365529 6511689 7155864 7357068 7685928 7737606 7902036 8083476 8255256 8310762 8487372 8646669 8682252 8926374 9033174 9287163 9702298 9975101 10204141 10316808 10733796 11035602 11081016 11528892 11606409 11853054 11901832 12044232 12125214 12382884 12466143 12731058 13023378 13389561 13549761 14553447 14714136 15475212 15804072 16166952 16621524 16974744 17293338 17364504 17779581 17852748 18066348 18187821 18574326 19096587 19404596 19535067 19950202 20408282 20982109 21467592 22071204 23057784 23212818 23706108 24250428 24765768 24932286 25462116 25940007 26046756 26779122 27099522 27861489 29106894 29925303 30612423 30950424 33243048 34586676 35559162 35705496 36132696 36375642 37148652 37398429 38193174 38809192 39070134 39900404 40168683 40649283 40816564 41964218 43144141 43660341 44142408 46425636 47412216 48500856 49864572 50924232 51880014 52093512 53338743 53558244 54199044 54563463 55722978 57289761 58213788 58605201 59850606 61224846 62946327 69173352 71118324 72751284 74297304 74796858 76386348 77820021 78140268 79800808 80337366 81298566 81633128 83584467 83928436 86288282 87320682 89775909 91837269 92851272 99729144 103760028 106677486 107116488 108398088 109126926 111445956 112195287 114579522 116427576 117210402 119701212 120506049 121947849 122449692 125892654 129432423 130981023 140683321 142236648 145502568 149593716 152772696 155640042 156280536 160016229 160674732 162597132 163690389 167168934 167856872 171869283 172576564 174641364 175815603 179551818 183674538 188838981 207520056 213354972 218253852 222891912 224390574 229159044 234420804 239402424 241012098 243895698 244899384 250753401 251785308 258864846 261962046 269327727 275511807 281366642 289277929 295920089 299187432 311280084 320032458 321349464 325194264 327380778 334337868 336585861 343738566 345153128 349282728 351631206 359103636 361518147 365843547 367349076 377677962 388297269 392943069 422049963 426709944 436507704 448781148 458318088 468841608 482024196 487791396 501506802 503570616 515607849 517729692 523924092 527446809 538655454 551023614 562733284 566516943 578555858 591840178 608481161 622560168 640064916 654761556 668675736 673171722 687477132 703262412 718207272 723036294 731687094 734698152 752260203 755355924 776594538 785886138 807983181 826535421 844099926 867833787 887760267 897562296 964048392 975582792 1003013604 1031215698 1035459384 1047848184 1054893618 1077310908 1084554441 1097530641 1102047228 1125466568 1133033886 1157111716 1164891807 1178829207 1183680356 1216962322 1266149889 1280129832 1309523112 1346343444 1374954264 1406524824 1446072588 1463374188 1504520406 1510711848 1546823547 1553189076 1571772276 1582340427 1615966362 1653070842 1688199852 1699550829 1735667574 1775520534 1825443483 2006027208 2062431396 2109787236 2154621816 2169108882 2195061282 2204094456 2256780609 2266067772 2314223432 2329783614 2357658414 2367360712 2423949543 2433924644 2479606263 2532299778 2603501361 2663280801 2692686888 2892145176 2926748376 3009040812 3093647094 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102980190972 105875722014 110155040343 118314672961 122367659688 125808315156 127313554356 130893275322 131431930776 133898738202 136744188012 137663617149 140589073494 141167629352 143817163254 146873387124 147860922123 154470286458 158813583021 174524367096 178531650936 183551489532 187452097992 188712472734 191756217672 197147896164 205116282018 205960381944 210883610241 211751444028 215725744881 220310080686 231705429687 236629345922 248868794849 251616630312 254627108712 261786550644 267797476404 273488376024 275327234298 281178146988 283068709101 287634326508 293746774248 295721844246 307674423027 308940572916 317627166042 330465121029 354944018883 367102979064 377424945468 394295792328 410232564036 421767220482 423502888056 431451489762 440620161372 443582766369 463410859374 473258691844 476440749063 497737589698 523573101288 535594952808 550654468596 562356293976 566137418202 575268653016 591443688492 615348846054 617881145832 632650830723 635254332084 647177234643 660930242058 695116289061 709888037766 746606384547 754849890936 820465128072 843534440964 862902979524 881240322744 887165532738 923023269081 926821718748 946517383688 952881498126 991395363087 995475179396 1064832056649 1101308937192 1132274836404 1182887376984 1230697692108 1265301661446 1270508664168 1294354469286 1321860484116 1330748299107 1390232578122 1419776075532 1429322247189 1493212769094 1687068881928 1725805959048 1774331065476 1846046538162 1853643437496 1897952492169 1905762996252 1941531703929 1982790726174 1990950358792 2085348867183 2129664113298 2239819153641 2264549672808 2461395384216 2530603322892 2588708938572 2643720968232 2661496598214 2780465156244 2839552151064 2858644494378 2974186089261 2986425538188 3194496169947 3548662130952 3692093076324 3795904984338 3811525992504 3883063407858 3965581452348 3992244897321 4170697734366 4259328226596 4287966741567 4479638307282 5061206645784 5177417877144 5322993196428 5560930312488 5717288988756 5948372178522 5972851076376 6256046601549 6388992339894 6719457460923 7217195050621 7384186152648 7591809968676 7766126815716 7931162904696 7984489794642 8341395468732 8518656453192 8575933483134 8922558267783 8959276614564 9583488509841 10645986392856 11434577977512 11896744357044 12512093203098 12777984679788 12863900224701 13438914921846 14434390101242 15183619937352 15532253631432 15968979589284 16682790937464 17151866966268 17845116535566 17918553229128 18768139804647 19166977019682 20158372382769 21651585151863 23793488714088 25024186406196 25555969359576 25727800449402 26767674803349 26877829843692 28750465529523 28868780202484 31937959178568 34303733932536 35690233071132 37536279609294 38333954039364 38591700674103 40316744765538 43303170303726 50048372812392 51455600898804 53535349606698 53755659687384 56304419413941 57500931059046 57737560404968 60475117148307 64954755455589 71380466142264 75072559218588 76667908078728 77183401348206 80633489531076 86251396588569 86606340607452 102911201797608 107070699213396 112608838827882 115001862118092 115775102022309 120950234296614 129909510911178 150145118437176 154366802696412 161266979062152 172502793177138 173212681214904 181425351444921 194864266366767 214141398426792 225217677655764 230003724236184 231550204044618 241900468593228 258754189765707 259819021822356 308733605392824 345005586354276 362850702889842 389728532733534 450435355311528 463100408089236 483800937186456 517508379531414 519638043644712 544276054334763 584592799100301 690011172708552 725701405779684 776262569297121 779457065467068 926200816178472 1035016759062828 1088552108669526 1169185598200602 1451402811559368 1552525138594242 1558914130934136 1632828163004289 1753778397300903 2070033518125656 2177104217339052 2338371196401204 3105050277188484 3265656326008578 3507556794601806 4354208434678104 4676742392802408 5261335191902709 6210100554376968 6531312652017156 7015113589203612 10522670383805418 13062625304034312 14030227178407224 15784005575708127 21045340767610836 31568011151416254 42090681535221672 47352016727124381 63136022302832508 94704033454248762 126272044605665016 189408066908497524 378816133816995048
- Sum of all divisors σ(n): 1124252525738580030
- Sum of proper divisors (its aliquot sum) s(n): 745436391921584982
- 378816133816995048 is an abundant number, because the sum of its proper divisors (745436391921584982) is greater than itself. Its abundance is 366620258104589934
Bases of 378816133816995048
- Binary: 101010000011101001101000100010000110101100101001100111010002
- Hexadecimal: 0x541D34443594CE8
- Base-36: 2VLZ41F7WMI0
Squares and roots of 378816133816995048
- 378816133816995048 squared (3788161338169950482) is 143501663240055499194499676456522304
- 378816133816995048 cubed (3788161338169950483) is 54360745264906223157133960392085146332111341669550592
-
The
square root of 378816133816995048 is 615480408.9627833541 -
The
cube root of 378816133816995048 is 723562.6751950689
Scales and comparisons
How big is 378816133816995048?- 378,816,133,816,995,048 seconds is equal to 12,045,181,300 years, 7 weeks, 3 days, 6 hours, 10 minutes, 48 seconds.
-
To count from 1 to 378,816,133,816,995,048 would take you about thirty-six billion, one hundred thirty-five million, five hundred forty-three thousand, nine 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 378816133816995048 cubic inches would be around 60296.9 feet tall.
Recreational maths with 378816133816995048
- 378816133816995048 backwards is 840599618331618873
- The number of decimal digits it has is: 18
- The sum of 378816133816995048's digits is 90
- More coming soon!
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"Number 378816133816995048 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 378816133816995048 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/378816133816995048/
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The information we have on file for 378816133816995048 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 378816133816995048, math, Factors of 378816133816995048, curriculum, school, college, exams, university, Prime factorization of 378816133816995048, STEM, science, technology, engineering, physics, economics, calculator, three hundred seventy-eight quadrillion, eight hundred sixteen trillion, one hundred thirty-three billion, eight hundred sixteen million, nine hundred ninety-five thousand and forty-eight.