48628677087131378468
48,628,677,087,131,378,468 is an even composite number composed of five prime numbers multiplied together.
48628677087131378468 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 48628677087131378468:
22 × 73 × 113 × 197 × 313
(2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 19 × 19 × 19 × 19 × 19 × 19 × 19 × 31 × 31 × 31)See below for interesting mathematical facts about the number 48628677087131378468 from the Numbermatics database.
Names of 48628677087131378468
- Cardinal: 48628677087131378468 can be written as Forty-eight quintillion, six hundred twenty-eight quadrillion, six hundred seventy-seven trillion, eighty-seven billion, one hundred thirty-one million, three hundred seventy-eight thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 4.8628677087131378468 × 1019
Factors of 48628677087131378468
Divisors of 48628677087131378468
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 7 11 14 19 22 28 31 38 44 49 62 76 77 98 121 124 133 154 196 209 217 242 266 308 341 343 361 418 434 484 532 539 589 682 686 722 836 847 868 931 961 1078 1178 1331 1364 1372 1444 1463 1519 1694 1862 1922 2156 2299 2356 2387 2527 2662 2926 3038 3388 3724 3751 3773 3844 3971 4123 4598 4774 5054 5324 5852 5929 6076 6479 6517 6727 6859 7502 7546 7942 8246 9196 9317 9548 10108 10241 10571 10633 11191 11858 12958 13034 13454 13718 15004 15092 15884 16093 16492 16709 17689 18259 18634 20482 21142 21266 22382 23716 25289 25916 26068 26257 26908 27436 27797 28861 29791 32186 33418 35378 36518 37268 40964 41261 41503 42284 42532 43681 44764 45353 47089 48013 50578 52514 55594 57722 59582 64372 65219 66836 70756 71269 71687 73036 73997 75449 78337 82522 83006 87362 90706 94178 96026 101156 105028 111188 112651 115444 116281 116963 119164 123101 123823 127813 130321 130438 142538 143374 147994 150898 156674 165044 166012 174724 177023 181412 183799 188356 192052 194579 200849 202027 208537 212629 225302 232562 233926 246202 247646 255626 260642 260876 285076 286748 288827 295988 301796 305767 313348 317471 327701 329623 336091 346921 354046 367598 389158 401698 404054 417074 425258 450604 456533 465124 467852 480491 492404 495292 498883 511252 517979 521284 528143 548359 566029 577654 611534 634942 655402 659246 672182 693842 708092 735196 778316 783959 788557 803396 808108 813967 829939 834148 850516 861707 894691 912247 913066 960982 997766 1035958 1056286 1096718 1132058 1155308 1223068 1239161 1269884 1279091 1286593 1310804 1318492 1344364 1354111 1362053 1387684 1405943 1433531 1459759 1488403 1567918 1577114 1627934 1659878 1723414 1789382 1824494 1826132 1921964 1995532 2021789 2071916 2112572 2140369 2193436 2209339 2222297 2264116 2293907 2338919 2352637 2428447 2476099 2478322 2558182 2573186 2708222 2724106 2811886 2867062 2919518 2976806 3135836 3154228 3255868 3319756 3363437 3446828 3492181 3578764 3604711 3625853 3648988 3697001 3816131 3838513 3962203 4039951 4043578 4280738 4418678 4444594 4587814 4677838 4705274 4856894 4952198 4956644 5116364 5146372 5416444 5448212 5487713 5623772 5697769 5734124 5809573 5839036 5953612 6031949 6226319 6262837 6385729 6591499 6726874 6984362 7209422 7251706 7394002 7632262 7677026 7924406 8079902 8087156 8561476 8674127 8837356 8889188 8953637 9129329 9175628 9355676 9410548 9478777 9713788 9841601 9904396 10034717 10218313 10418821 10754551 10975426 11395538 11619146 12063898 12452638 12525674 12771458 13182998 13453748 13968724 14152523 14418844 14503412 14788004 14895221 14982583 15264524 15354052 15465373 15768841 15848812 16057349 16159804 16372433 16999129 17332693 17348254 17907274 18258658 18957554 19683202 20069434 20436626 20837642 21509102 21950852 22791076 23238292 23544059 24127796 24302729 24445267 24905276 25051348 25232977 25542916 25728109 25879007 26365996 26712917 27237089 27735421 28279657 28305046 29790442 29965166 30930746 31537682 32114698 32744866 33998258 34665386 34696508 35814548 36517316 37915108 38413991 39366404 39651821 39884383 40138868 40667011 40873252 41675284 41977441 42223643 43018204 43584233 44439461 44700103 46140493 47045881 47088118 48605458 48890534 50465954 51456218 51758014 53425834 54474178 55470842 56559314 56610092 59580884 59930332 61861492 62675459 63075364 63905303 64229396 65489732 66351439 67996516 68489509 68891207 69330772 70243019 72506489 72931747 75281857 76759069 76827982 79303642 79768766 81334022 83954882 84447286 87168466 88878922 89400206 92280986 94091762 94176236 97210916 97781068 100931908 102912436 103516028 104266547 106851668 108257611 108948356 110381887 110941684 112401443 113118628 114607031 118300061 118993903 121328851 125238481 125350918 127810606 132702878 136979018 137782414 140486038 145012978 145863494 150563714 153518138 153655964 158607284 159537532 162668044 164808413 167909764 168894572 170119103 173457251 174336932 176630839 177757844 178800412 180096763 184561972 186990419 188183524 190659623 194147947 197957599 204336469 208533094 216515222 220763774 224802886 229214062 236600122 237987806 242657702 250476962 250701836 255621212 265405756 268897937 273958036 275564828 277562747 280972076 283009199 284669077 290025956 291726988 293842087 299607979 301127428 305089631 307036276 311076227 322983451 329321167 329616826 340238206 346914502 353261678 360193526 373980838 381319246 388295894 395915198 408672938 417066188 433030444 438728213 441527548 447337121 449605772 458428124 461751851 464460073 473200244 475975612 479426563 485315404 488834071 491701133 500953924 507545423 517504691 526972999 537313483 537795874 555125494 566018398 569338154 587684174 599215958 610179262 622152454 645966902 658642334 659233652 680476412 693829004 706523356 720387052 729865829 747961676 753384599 757803277 762638492 772673209 776591788 791830396 797571379 802249217 817345876 828100427 844349759 849301957 876669367 877456426 893871739 894674242 923503702 928920146 958853126 977668142 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9449118152969 9504538200787 9810806886097 9819614863366 10012299442222 10334929929082 10395545353886 10599531081062 10941084177122 11005254758806 11359881657586 12026150376506 12036947251868 12273141251756 12668623784036 12742926562828 13153547182468 13326620171711 13411651571956 13490312284988 13588120671587 13925016225428 14108240123131 14458031200564 14648268453203 14935702886951 15416982249581 15507404432863 16335856984678 16656405984526 16961152945814 17293971763838 17851242604778 17955941974894 18898236305938 19009076401574 19621613772194 19639229726732 20024598884444 20669859858164 20791090707772 21199062162124 21477997190573 21882168354244 22010509517612 22170091622063 22719763315172 23018707569319 23470390250923 24052300753012 24368778394499 25301554600987 26629332976549 26653240343422 27176241343174 28216480246262 29296536906406 29871405773902 30833964499162 31014808865726 32671713969356 33312811969052 33922305891628 34587943527676 35043048047777 35702485209556 35911883949788 36172254751787 36882041822879 37098358783717 37796472611876 38018152803148 38293794619927 39243227544388 39759585801551 42091526317771 42955994381146 44340183244126 46037415138638 46940780501846 48737556788998 50603109201974 53258665953098 53306480686844 54352482686348 56432960492524 57175499446373 58297420945841 58593073812812 59742811547804 60175962974171 60528901173433 61667928998324 62029617731452 62479349116723 66143827070783 68675648202679 70086096095554 72344509503574 73764083645758 74196717567434 76587589239854 79519171603102 84183052635542 85911988762292 88680366488252 92074830277276 93286341201977 93881561003692 95116844701109 97475113577996 98181834326279 98757680861917 101206218403948 103940299682659 104549920208657 106517331906196 107918875747067 114350998892746 116594841891682 120351925948342 121057802346866 124958698233446 132287654141566 137351296405358 140172192191108 144689019007148 147528167291516 148393435134868 153175178479708 155190641354441 159038343206204 161130952985233 164292731756461 168366105271084 169586804745391 170581448761493 186405330835843 186572682403954 190233689402218 196363668652558 197515361723834 207880599365318 209099840417314 215837751494134 228701997785492 233189683783364 240703851896684 242115604693732 249917396466892 253205783262509 258174292760153 264575308283132 268056562339489 274702592810716 278317100610857 292922662742039 294640684224397 310381282708882 322261905970466 328585463512922 339173609490782 341162897522986 372810661671686 373145364807908 380467378804436 392727337305116 395030723447668 408081946620887 415761198730636 418199680834628 421231740819197 431675502988268 437355443817061 463006789495481 480729537418753 506411566525018 516348585520306 536113124678978 556634201221714 585845325484078 589281368448794 620762565417764 644523811940932 657170927025844 665817912907763 678347218981564 682325795045972 687272840283953 727582097778613 745621323343372 755432130229469 816163893241774 842463481638394 874710887634122 926013578990962 961459074837506 1012823133050036 1032697171040612 1072226249357956 1086334489481087 1113268402443428 1143343296509249 1150049122295227 1171690650968156 1178562736897588 1187107633217737 1304837315850901 1331635825815526 1374545680567906 1455164195557226 1510864260458938 1632327786483548 1684926963276788 1749421775268244 1772440482837563 1807220049321071 1852027157981924 1865454852199301 1876395936376423 1922918149675012 2050458639194273 2172668978962174 2286686593018498 2300098244590454 2374215266435474 2609674631701802 2663271651631052 2749091361135812 2910328391114452 2948622185734379 3021728520917876 3061488106719427 3222149290162429 3241047526468367 3544880965675126 3614440098642142 3730909704398602 3752791872752846 4100917278388546 4345337957924348 4573373186036996 4600196489180908 4748430532870948 4810909881987671 5093074684450291 5219349263403604 5288024911606283 5897244371468758 6122976213438854 6444298580324858 6482095052936734 7089761931350252 7228880197284284 7461819408797204 7505583745505692 8003403075564743 8201834556777092 8309753432524159 9133861210956307 9621819763975342 10186149368900582 10576049823212566 11794488742937516 12245952426877708 12650540345247497 12888597160649716 12964190105873468 13058183965395107 14353210474359911 16006806151129486 16619506865048318 18267722421912614 19243639527950684 20372298737801164 20640355300140653 21152099646425132 22555045031137003 25301080690494994 26116367930790214 28706420948719822 32013612302258972 33239013730096636 33676369173913697 35443642191786719 35651522791152037 36535444843825228 41280710600281306 45110090062274006 50602161380989988 52232735861580428 56023821528953201 57412841897439644 58168274027669113 67352738347827394 70887284383573438 71303045582304074 82561421200562612 90220180124548012 91407287757765749 100472473320519377 112047643057906402 116336548055338226 134705476695654788 141774568767146876 142606091164608148 157885315217959021 182814575515531498 200944946641038754 224095286115812804 232673096110676452 248105495342507033 315770630435918042 365629151031062996 392166750702672407 401889893282077508 496210990685014066 631541260871836084 639851014304360243 784333501405344814 992421981370028132 1105197206525713147 1279702028608720486 1568667002810689628 1736738467397549231 2210394413051426294 2559404057217440972 3473476934795098462 4420788826102852588 6946953869590196924 12157169271782844617 24314338543565689234 48628677087131378468
- Sum of all divisors σ(n): 119063997852893184000
- Sum of proper divisors (its aliquot sum) s(n): 70435320765761805532
- 48628677087131378468 is an abundant number, because the sum of its proper divisors (70435320765761805532) is greater than itself. Its abundance is 21806643678630427064
Bases of 48628677087131378468
- Binary: 1010100010110110111100010000101010001110111010010010100011001001002
- Hexadecimal: 0x2A2DBC42A3BA4A324
- Base-36: A9GHFCQNERCPW
Squares and roots of 48628677087131378468
- 48628677087131378468 squared (486286770871313784682) is 2364748235244496327762130785733854027024
- 48628677087131378468 cubed (486286770871313784683) is 114994578324068401417054096859486188415190017596894043719232
-
The
square root of 48628677087131378468 is 6973426495.4275798595 -
The
cube root of 48628677087131378468 is 3650038.8333175313
Scales and comparisons
How big is 48628677087131378468?- 48,628,677,087,131,378,468 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,628,677,087,131,378,468 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 48628677087131378468 cubic inches would be around 304169.9 feet tall.
Recreational maths with 48628677087131378468
- 48628677087131378468 backwards is 86487313178077682684
- The number of decimal digits it has is: 20
- The sum of 48628677087131378468's digits is 104
- More coming soon!
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MLA style:
"Number 48628677087131378468 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 48628677087131378468 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/48628677087131378468/
Chicago style:
Numbermatics. 2024. "Number 48628677087131378468 - Facts about the integer". https://numbermatics.com/n/48628677087131378468/
The information we have on file for 48628677087131378468 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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