47442899632128
47,442,899,632,128 is an even composite number composed of seven prime numbers multiplied together.
What does the number 47442899632128 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
47442899632128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 47442899632128:
217 × 3 × 72 × 11 × 13 × 67 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 13 × 67 × 257)See below for interesting mathematical facts about the number 47442899632128 from the Numbermatics database.
Names of 47442899632128
- Cardinal: 47442899632128 can be written as Forty-seven trillion, four hundred forty-two billion, eight hundred ninety-nine million, six hundred thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.7442899632128 × 1013
Factors of 47442899632128
Divisors of 47442899632128
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 49 52 56 64 66 67 77 78 84 88 91 96 98 104 112 128 132 134 143 147 154 156 168 176 182 192 196 201 208 224 231 256 257 264 268 273 286 294 308 312 336 352 364 384 392 402 416 429 448 462 469 512 514 528 536 539 546 572 588 616 624 637 672 704 728 737 768 771 784 804 832 858 871 896 924 938 1001 1024 1028 1056 1072 1078 1092 1144 1176 1232 1248 1274 1344 1407 1408 1456 1474 1536 1542 1568 1608 1617 1664 1716 1742 1792 1799 1848 1876 1911 2002 2048 2056 2112 2144 2156 2184 2211 2288 2352 2464 2496 2548 2613 2688 2814 2816 2827 2912 2948 3003 3072 3084 3136 3216 3234 3283 3328 3341 3432 3484 3584 3598 3696 3752 3822 4004 4096 4112 4224 4288 4312 4368 4422 4576 4704 4928 4992 5096 5159 5226 5376 5397 5628 5632 5654 5824 5896 6006 6097 6144 6168 6272 6432 6468 6566 6656 6682 6864 6968 7007 7168 7196 7392 7504 7644 8008 8192 8224 8448 8481 8576 8624 8736 8844 9152 9408 9581 9849 9856 9984 10023 10192 10318 10452 10752 10794 11256 11264 11308 11648 11792 12012 12194 12288 12336 12544 12593 12864 12936 13132 13312 13364 13728 13936 14014 14336 14392 14784 15008 15288 15477 16016 16384 16448 16896 16962 17152 17219 17248 17472 17688 18291 18304 18816 19162 19698 19712 19789 19968 20046 20384 20636 20904 21021 21504 21588 22512 22528 22616 23296 23387 23584 24024 24388 24576 24672 25088 25186 25728 25872 26264 26624 26728 27456 27872 28028 28672 28743 28784 29568 30016 30576 30954 32032 32768 32896 33792 33924 34304 34438 34496 34944 35376 36113 36582 36608 36751 37632 37779 38324 39396 39424 39578 39936 40092 40768 41272 41808 42042 42679 43008 43176 45024 45056 45232 46592 46774 47168 48048 48776 49152 49344 50176 50372 51456 51657 51744 52528 53248 53456 54912 55744 56056 57344 57486 57568 59136 59367 60032 61152 61908 64064 65536 65792 67067 67584 67848 68608 68876 68992 69888 70161 70752 72226 73164 73216 73502 75264 75558 76648 78792 78848 79156 79872 80184 81536 82544 83616 84084 85358 86016 86352 90048 90112 90464 93184 93548 94336 96096 97552 98304 98688 100352 100744 102912 103314 103488 105056 106496 106912 108339 109824 110253 111488 112112 114688 114972 115136 118272 118734 120064 120533 122304 123816 128037 128128 131072 131584 134134 135168 135696 137216 137752 137984 138523 139776 140322 141504 144452 146328 146432 147004 150528 151116 153296 157584 157696 158312 159744 160368 163072 163709 165088 167232 168168 170716 172032 172704 180096 180224 180928 186368 187096 188672 189409 192192 195104 196608 197376 200704 201201 201488 205824 206628 206976 210112 212992 213824 216678 219648 220506 222976 223847 224224 229376 229944 230272 236544 237468 240128 241066 244608 247632 256074 256256 257257 263168 268268 270336 271392 274432 275504 275968 277046 279552 280644 283008 288904 292656 292864 294008 301056 302232 306592 315168 315392 316624 319488 320736 326144 327418 330176 334464 336336 341432 344064 345408 360192 360448 361599 361856 372736 374192 377344 378818 384384 390208 393216 394752 401408 402402 402976 411648 413256 413952 415569 420224 425984 427648 433356 439296 441012 445952 447694 448448 458752 459888 460544 469469 473088 474936 480256 482132 489216 491127 495264 512148 512512 514514 526336 536536 540672 542784 548864 551008 551936 554092 559104 561288 566016 568227 577808 585312 585728 588016 602112 604464 613184 630336 630784 633248 638976 641472 652288 654836 660352 668928 671541 672672 682864 688128 690816 720384 720896 723198 723712 745472 748384 754688 757636 768768 771771 780416 789504 802816 804804 805952 823296 826512 827904 831138 840448 843731 851968 855296 866712 878592 882024 891904 895388 896896 917504 919776 921088 938938 946176 949872 960512 964264 978432 982254 990528 1024296 1025024 1029028 1052672 1073072 1081344 1085568 1097728 1102016 1103872 1108184 1118208 1122576 1132032 1136454 1155616 1170624 1171456 1176032 1204224 1208928 1226368 1260672 1261568 1266496 1277952 1282944 1304576 1309672 1320704 1325863 1337856 1343082 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81055744 82108416 83492864 83819008 84525056 84855232 85622784 85957248 86102016 86438352 87406592 87748024 88424448 90138048 92209152 92569344 92635136 95793152 96600064 96977408 98402304 98786688 99893248 100283456 101056512 103014912 103161856 103417314 105793536 105971712 106385664 107577344 107997568 109477888 110939136 111372492 112899072 114163712 114609664 114802688 115251136 117731328 117899264 118191216 120184064 120653533 121583616 123425792 125239296 125728512 126787584 127282848 131109888 131203072 131622036 131715584 137353216 137889752 138952704 141058048 141847552 143689728 144900096 145466112 147918848 148496656 149839872 150425184 150532096 154742784 156975104 157588288 161366016 161996352 162111488 164216832 167638016 169050112 169710464 171245568 171914496 172204032 172876704 174813184 175496048 176848896 180276096 184418304 185138688 185270272 191586304 193954816 196804608 197573376 199786496 200566912 206029824 206323712 206834628 211587072 211943424 212771328 215154688 215995136 218955776 221878272 222744984 225798144 229219328 229605376 230502272 235462656 235798528 236382432 240368128 241307066 243167232 246851584 250478592 251457024 253575168 254565696 262219776 263244072 263431168 274706432 275779504 277905408 282116096 283695104 287379456 289800192 290932224 295837696 296993312 299679744 300850368 301064192 309485568 313950208 315176576 322732032 323992704 324222976 328433664 335276032 338100224 339420928 342491136 343828992 344408064 345753408 349626368 350992096 353697792 360552192 361960599 370277376 370540544 383172608 387909632 393609216 395146752 399572992 401133824 412059648 412647424 413669256 423174144 425542656 430309376 431990272 437911552 443756544 445489968 451596288 458438656 459210752 461004544 470925312 472764864 480736256 482614132 486334464 493703168 502914048 507150336 509131392 524439552 526488144 526862336 549412864 551559008 555810816 564232192 567390208 574758912 581864448 591675392 593986624 599359488 601700736 602128384 618971136 627900416 630353152 645464064 647985408 648445952 656867328 670552064 676200448 678841856 687657984 688816128 691506816 699252736 701984192 707395584 721104384 723921198 740554752 766345216 775819264 790293504 799145984 802267648 824119296 825294848 827338512 846348288 851085312 863980544 887513088 890979936 903192576 916877312 918421504 922009088 941850624 945529728 961472512 965228264 972668928 987406336 1005828096 1014300672 1018262784 1048879104 1052976288 1053724672 1098825728 1103118016 1111621632 1128464384 1134780416 1149517824 1163728896 1183350784 1187973248 1198718976 1203401472 1204256768 1237942272 1255800832 1260706304 1290928128 1295970816 1296891904 1313734656 1341104128 1357683712 1375315968 1377632256 1383013632 1398505472 1403968384 1442208768 1447842396 1481109504 1532690432 1551638528 1580587008 1604535296 1648238592 1650589696 1654677024 1692696576 1702170624 1727961088 1775026176 1781959872 1806385152 1833754624 1844018176 1883701248 1891059456 1922945024 1930456528 1945337856 1974812672 2011656192 2028601344 2036525568 2097758208 2105952576 2107449344 2197651456 2206236032 2256928768 2269560832 2299035648 2327457792 2366701568 2375946496 2397437952 2406802944 2408513536 2475884544 2521412608 2591941632 2593783808 2682208256 2715367424 2750631936 2755264512 2766027264 2797010944 2807936768 2884417536 2895684792 2962219008 3065380864 3103277056 3161174016 3209070592 3296477184 3309354048 3385393152 3404341248 3455922176 3550052352 3563919744 3612770304 3667509248 3688036352 3767402496 3782118912 3845890048 3860913056 3890675712 3949625344 4023312384 4073051136 4195516416 4211905152 4214898688 4395302912 4412472064 4539121664 4598071296 4654915584 4733403136 4751892992 4813605888 4817027072 4951769088 5042825216 5183883264 5364416512 5430734848 5501263872 5532054528 5594021888 5615873536 5768835072 5791369584 5924438016 6206554112 6322348032 6418141184 6592954368 6618708096 6770786304 6808682496 6911844352 7100104704 7127839488 7225540608 7335018496 7376072704 7564237824 7691780096 7721826112 7781351424 7899250688 8046624768 8146102272 8391032832 8423810304 8429797376 8790605824 8824944128 9078243328 9196142592 9309831168 9503785984 9627211776 10085650432 10367766528 10728833024 10861469696 11002527744 11064109056 11231747072 11537670144 11582739168 11848876032 12413108224 12644696064 12836282368 13185908736 13237416192 13617364992 13823688704 14200209408 14255678976 14451081216 14670036992 14752145408 15128475648 15383560192 15443652224 15798501376 16093249536 16292204544 16782065664 16847620608 16859594752 17649888256 18156486656 18619662336 19007571968 19254423552 20171300864 20735533056 21457666048 21722939392 22005055488 22128218112 22463494144 23075340288 23165478336 23697752064 24826216448 25289392128 25672564736 26371817472 26474832384 27234729984 27647377408 28511357952 29340073984 29504290816 30256951296 30767120384 30887304448 32186499072 32584409088 33695241216 33719189504 35299776512 37239324672 38015143936 38508847104 40342601728 41471066112 43445878784 44010110976 44256436224 44926988288 46150680576 46330956672 47395504128 50578784256 51345129472 52949664768 54469459968 55294754816 57022715904 59008581632 60513902592 61534240768 61774608896 64372998144 65168818176 67390482432 70599553024 74478649344 76030287872 77017694208 80685203456 82942132224 86891757568 88020221952 88512872448 89853976576 92301361152 92661913344 101157568512 102690258944 105899329536 110589509632 114045431808 118017163264 121027805184 123549217792 130337636352 134780964864 141199106048 152060575744 154035388416 161370406912 165884264448 173783515136 177025744896 179707953152 184602722304 185323826688 205380517888 211798659072 228090863616 236034326528 242055610368 247098435584 260675272704 269561929728 282398212096 304121151488 308070776832 322740813824 331768528896 354051489792 359415906304 370647653376 423597318144 456181727232 484111220736 494196871168 521350545408 539123859456 564796424192 608242302976 616141553664 708102979584 718831812608 741295306752 847194636288 912363454464 968222441472 988393742336 1078247718912 1129592848384 1216484605952 1437663625216 1482590613504 1694389272576 1824726908928 1976787484672 2156495437824 2259185696768 2965181227008 3388778545152 3649453817856 3953574969344 4312990875648 5930362454016 6777557090304 7907149938688 11860724908032 15814299877376 23721449816064 47442899632128
- Sum of all divisors σ(n): 176161505280768
- Sum of proper divisors (its aliquot sum) s(n): 128718605648640
- 47442899632128 is an abundant number, because the sum of its proper divisors (128718605648640) is greater than itself. Its abundance is 81275706016512
Bases of 47442899632128
- Binary: 10101100100110001010010010111000000000000000002
- Hexadecimal: 0x2B26292E0000
- Base-36: GTEYTI22O
Squares and roots of 47442899632128
- 47442899632128 squared (474428996321282) is 2250828725504171117729808384
- 47442899632128 cubed (474428996321283) is 106785841313204975012673088759773530161152
-
The
square root of 47442899632128 is 6887880.6342827983 -
The
cube root of 47442899632128 is 36201.2645774085
Scales and comparisons
How big is 47442899632128?- 47,442,899,632,128 seconds is equal to 1,508,537 years, 23 weeks, 5 days, 15 hours, 8 minutes, 48 seconds.
-
To count from 1 to 47,442,899,632,128 would take you about three million, seven hundred seventy-one thousand, three hundred forty-three 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 47442899632128 cubic inches would be around 3016.8 feet tall.
Recreational maths with 47442899632128
- 47442899632128 backwards is 82123699824474
- The number of decimal digits it has is: 14
- The sum of 47442899632128's digits is 69
- More coming soon!
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"Number 47442899632128 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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The information we have on file for 47442899632128 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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