47918114942164992
47,918,114,942,164,992 is an even composite number composed of five prime numbers multiplied together.
47918114942164992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 47918114942164992:
213 × 32 × 72 × 412 × 534
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 41 × 41 × 53 × 53 × 53 × 53)See below for interesting mathematical facts about the number 47918114942164992 from the Numbermatics database.
Names of 47918114942164992
- Cardinal: 47918114942164992 can be written as Forty-seven quadrillion, nine hundred eighteen trillion, one hundred fourteen billion, nine hundred forty-two million, one hundred sixty-four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 4.7918114942164992 × 1016
Factors of 47918114942164992
Divisors of 47918114942164992
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 49 53 56 63 64 72 82 84 96 98 106 112 123 126 128 144 147 159 164 168 192 196 212 224 246 252 256 287 288 294 318 328 336 369 371 384 392 424 441 448 477 492 504 512 574 576 588 636 656 672 738 742 768 784 848 861 882 896 954 984 1008 1024 1113 1148 1152 1176 1272 1312 1344 1476 1484 1536 1568 1681 1696 1722 1764 1792 1908 1968 2009 2016 2048 2173 2226 2296 2304 2352 2544 2583 2597 2624 2688 2809 2952 2968 3072 3136 3339 3362 3392 3444 3528 3584 3816 3936 4018 4032 4096 4346 4452 4592 4608 4704 5043 5088 5166 5194 5248 5376 5618 5904 5936 6027 6144 6272 6519 6678 6724 6784 6888 7056 7168 7632 7791 7872 8036 8064 8192 8427 8692 8904 9184 9216 9408 10086 10176 10332 10388 10496 10752 11236 11767 11808 11872 12054 12288 12544 13038 13356 13448 13568 13776 14112 14336 15129 15211 15264 15582 15744 16072 16128 16854 17384 17808 18081 18368 18432 18816 19557 19663 20172 20352 20664 20776 20992 21504 22472 23373 23534 23616 23744 24108 24576 25088 25281 26076 26712 26896 27136 27552 28224 28672 30258 30422 30528 31164 31488 32144 32256 33708 34768 35301 35616 36162 36736 36864 37632 39114 39326 40344 40704 41328 41552 41984 43008 44944 45633 46746 47068 47232 47488 48216 50176 50562 52152 53424 53792 54272 55104 56448 57344 58989 60516 60844 61056 62328 62976 64288 64512 67416 69536 70602 71232 72324 73472 73728 75264 78228 78652 80688 81408 82369 82656 83104 83968 86016 89093 89888 91266 93492 94136 94464 94976 96432 100352 101124 104304 105903 106477 106848 107584 108544 110208 112896 115169 117978 121032 121688 122112 124656 125952 128576 129024 134832 136899 137641 139072 141204 142464 144648 146944 148877 150528 156456 157304 161376 162816 164738 165312 166208 167936 172032 176967 178186 179776 182532 186984 188272 188928 189952 192864 200704 202248 208608 211806 212954 213696 215168 217088 220416 225792 230338 235956 242064 243376 244224 247107 249312 251904 257152 258048 267279 269664 273798 275282 278144 282408 284928 289296 293888 297754 301056 312912 314608 319431 322752 325632 329476 330624 332416 335872 345507 353934 356372 359552 365064 373968 376544 377856 379904 385728 401408 404496 412923 417216 423612 425908 427392 430336 434176 440832 446631 451584 460676 471912 484128 486752 488448 494214 498624 503808 514304 516096 534558 539328 547596 550564 556288 564816 569856 578592 587776 595508 602112 623651 625824 629216 638862 645504 651264 658952 661248 664832 691014 707868 712744 719104 730128 741321 747936 753088 755712 759808 771456 801837 806183 808992 825846 834432 847224 851816 854784 860672 881664 893262 903168 921352 943824 958293 968256 973504 976896 988428 997248 1007616 1028608 1036521 1042139 1069116 1078656 1095192 1101128 1112576 1129632 1139712 1157184 1175552 1191016 1204224 1238769 1247302 1251648 1258432 1277724 1291008 1302528 1317904 1322496 1329664 1339893 1382028 1415736 1425488 1438208 1460256 1482642 1495872 1506176 1511424 1519616 1542912 1603674 1612366 1617984 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113117935616 114852054912 116046127104 118463754752 119375087049 124227732864 126132167448 126815810632 127257677568 128134265344 131259491328 133271724096 134460942336 135387148288 138689273856 142667786961 144151048512 144932355008 145437345792 147154195356 148467290496 150010847232 152310541824 153136073216 159166782732 160931893248 163048899384 165636977152 168176223264 169676903424 172278082368 174069190656 175012655104 177695632128 179281256448 185694579854 186341599296 190223715948 192201398016 193916461056 196205593808 196889236992 197956387328 203080722432 208033910784 212222376976 217398532512 220731293034 222700935744 224234964352 225016270848 226235871232 229704109824 236927509504 238750174098 248455465728 252264334896 253631621264 254515355136 256268530688 262518982656 266543448192 268921884672 270774296576 278541869781 285335573922 288302097024 289864710016 290874691584 294308390712 296934580992 304621083648 306272146432 318333565464 321863786496 326097798768 331273954304 336352446528 339353806848 344556164736 348138381312 350025310208 355391264256 371389159708 372683198592 380447431896 384402796032 392411187616 393778473984 395912774656 406161444864 416067821568 424444753952 434797065024 441462586068 445401871488 448469928704 450032541696 452471742464 459408219648 473855019008 477500348196 496910931456 504528669792 507263242528 509030710272 512537061376 525037965312 533086896384 537843769344 557083739562 570671147844 576604194048 579729420032 581749383168 588616781424 593869161984 609242167296 612544292864 636667130928 649931029489 652195597536 662547908608 672704893056 678707613696 689112329472 710782528512 742778319416 745366397184 760894863792 768805592064 784822375232 787556947968 791825549312 812322889728 835625609343 848889507904 869594130048 882925172136 890803742976 896939857408 918816439296 947710038016 955000696392 993821862912 1009057339584 1014526485056 1018061420544 1025074122752 1050075930624 1066173792768 1114167479124 1141342295688 1153208388096 1159458840064 1177233562848 1187738323968 1218484334592 1225088585728 1273334261856 1299862058978 1304391195072 1325095817216 1345409786112 1357415227392 1378224658944 1421565057024 1485556638832 1490732794368 1521789727584 1537611184128 1569644750464 1575113895936 1583651098624 1671251218686 1697779015808 1739188260096 1765850344272 1781607485952 1793879714816 1837632878592 1895420076032 1910001392784 1949793088467 1987643725824 2018114679168 2029052970112 2036122841088 2050148245504 2132347585536 2228334958248 2282684591376 2306416776192 2318917680128 2354467125696 2375476647936 2436968669184 2450177171456 2546668523712 2599724117956 2608782390144 2650191634432 2690819572224 2756449317888 2843130114048 2971113277664 2981465588736 3043579455168 3075222368256 3139289500928 3150227791872 3167302197248 3342502437372 3395558031616 3478376520192 3531700688544 3563214971904 3587759429632 3675265757184 3820002785568 3899586176934 3975287451648 4036229358336 4058105940224 4072245682176 4264695171072 4456669916496 4565369182752 4612833552384 4637835360256 4708934251392 4750953295872 5093337047424 5199448235912 5217564780288 5381639144448 5512898635776 5686260228096 5849379265401 5942226555328 5962931177472 6087158910336 6150444736512 6278579001856 6685004874744 6791116063232 6956753040384 7063401377088 7126429943808 7175518859264 7350531514368 7640005571136 7799172353868 7950574903296 8072458716672 8116211880448 8529390342144 8913339832992 9130738365504 9225667104768 9275670720512 9417868502784 9501906591744 10186674094848 10398896471824 10435129560576 10763278288896 11025797271552 11698758530802 11884453110656 11925862354944 12174317820672 12557158003712 13370009749488 13582232126464 13913506080768 14126802754176 14252859887616 14351037718528 15280011142272 15598344707736 16144917433344 16232423760896 17058780684288 17826679665984 18261476731008 18451334209536 18551341441024 18835737005568 20373348189696 20797792943648 20870259121152 21526556577792 22051594543104 23397517061604 23768906221312 23851724709888 24348635641344 25114316007424 26740019498976 27164464252928 27827012161536 28253605508352 28505719775232 30560022284544 31196689415472 32289834866688 32464847521792 35653359331968 36522953462016 37671474011136 40746696379392 41595585887296 41740518242304 43053113155584 46795034123208 47537812442624 48697271282688 50228632014848 53480038997952 54328928505856 55654024323072 56507211016704 61120044569088 62393378830944 64579669733376 64929695043584 71306718663936 73045906924032 75342948022272 81493392758784 83191171774592 83481036484608 93590068246416 95075624885248 97394542565376 100457264029696 106960077995904 108657857011712 113014422033408 122240089138176 124786757661888 129159339466752 129859390087168 142613437327872 146091813848064 150685896044544 162986785517568 166382343549184 166962072969216 187180136492832 190151249770496 194789085130752 213920155991808 226028844066816 244480178276352 249573515323776 285226874655744 292183627696128 301371792089088 325973571035136 332764687098368 374360272985664 380302499540992 389578170261504 427840311983616 452057688133632 488960356552704 499147030647552 570453749311488 584367255392256 665529374196736 748720545971328 760604999081984 855680623967232 904115376267264 977920713105408 998294061295104 1140907498622976 1168734510784512 1331058748393472 1497441091942656 1711361247934464 1996588122590208 2281814997245952 2662117496786944 2994882183885312 3422722495868928 3993176245180416 5324234993573888 5989764367770624 6845444991737856 7986352490360832 11979528735541248 15972704980721664 23959057471082496 47918114942164992
- Sum of all divisors σ(n): 168218176166503749
- Sum of proper divisors (its aliquot sum) s(n): 120300061224338757
- 47918114942164992 is an abundant number, because the sum of its proper divisors (120300061224338757) is greater than itself. Its abundance is 72381946282173765
Bases of 47918114942164992
- Binary: 101010100011110101000101100010110110111100100000000000002
- Hexadecimal: 0xAA3D458B6F2000
- Base-36: D3TJY3VI0W0
Squares and roots of 47918114942164992
- 47918114942164992 squared (479181149421649922) is 2296145739610535874605048150360064
- 47918114942164992 cubed (479181149421649923) is 110026975474620106031409017657420881542900495679488
-
The
square root of 47918114942164992 is 218902067.0120887457 -
The
cube root of 47918114942164992 is 363217.3411819147
Scales and comparisons
How big is 47918114942164992?- 47,918,114,942,164,992 seconds is equal to 1,523,647,834 years, 36 weeks, 2 days, 14 hours, 43 minutes, 12 seconds.
-
To count from 1 to 47,918,114,942,164,992 would take you about four billion, five hundred seventy million, nine hundred forty-three thousand, five hundred 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 47918114942164992 cubic inches would be around 30268.1 feet tall.
Recreational maths with 47918114942164992
- 47918114942164992 backwards is 29946124941181974
- The number of decimal digits it has is: 17
- The sum of 47918114942164992's digits is 81
- More coming soon!
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The information we have on file for 47918114942164992 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!
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