48842142171633216
48,842,142,171,633,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 48842142171633216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1134 divisors.
48842142171633216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 48842142171633216:
26 × 38 × 72 × 4872 × 10009
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 487 × 487 × 10009)See below for interesting mathematical facts about the number 48842142171633216 from the Numbermatics database.
Names of 48842142171633216
- Cardinal: 48842142171633216 can be written as Forty-eight quadrillion, eight hundred forty-two trillion, one hundred forty-two billion, one hundred seventy-one million, six hundred thirty-three thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.8842142171633216 × 1016
Factors of 48842142171633216
Divisors of 48842142171633216
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 378 392 432 441 448 486 487 504 567 576 588 648 672 729 756 784 864 882 972 974 1008 1134 1176 1296 1323 1344 1458 1461 1512 1568 1701 1728 1764 1944 1948 2016 2187 2268 2352 2592 2646 2916 2922 3024 3136 3402 3409 3528 3888 3896 3969 4032 4374 4383 4536 4704 5103 5184 5292 5832 5844 6048 6561 6804 6818 7056 7776 7792 7938 8748 8766 9072 9408 10009 10206 10227 10584 11664 11688 11907 12096 13122 13149 13608 13636 14112 15309 15552 15584 15876 17496 17532 18144 20018 20412 20454 21168 23328 23376 23814 23863 26244 26298 27216 27272 28224 30027 30618 30681 31168 31752 34992 35064 35721 36288 39447 40036 40824 40908 42336 45927 46656 46752 47628 47726 52488 52596 54432 54544 60054 61236 61362 63504 69984 70063 70128 71442 71589 78894 80072 81648 81816 84672 90081 91854 92043 93504 95256 95452 104976 105192 107163 108864 109088 118341 120108 122472 122724 127008 139968 140126 140256 142884 143178 157788 160144 163296 163632 180162 183708 184086 190512 190904 209952 210189 210384 214326 214767 218176 236682 237169 240216 244944 245448 254016 270243 276129 280252 280512 285768 286356 315576 320288 321489 326592 327264 355023 360324 367416 368172 381024 381808 419904 420378 420768 428652 429534 473364 474338 480432 489888 490441 490896 540486 552258 560504 571536 572712 630567 631152 640576 642978 644301 654528 710046 711507 720648 734832 736344 762048 763616 810729 828387 840756 841536 857304 859068 946728 948676 960864 979776 980882 981792 1065069 1080972 1104516 1121008 1143072 1145424 1261134 1262304 1285956 1288602 1420092 1423014 1441296 1469664 1471323 1472688 1527232 1621458 1656774 1660183 1681512 1714608 1718136 1891701 1893456 1897352 1921728 1932903 1961764 1963584 2130138 2134521 2161944 2209032 2242016 2286144 2290848 2432187 2485161 2522268 2524608 2571912 2577204 2840184 2846028 2882592 2939328 2942646 2945376 3195207 3242916 3313548 3320366 3363024 3429216 3436272 3783402 3786912 3794704 3865806 3923528 4260276 4269042 4323888 4413969 4418064 4484032 4581696 4864374 4874383 4970322 4980549 5044536 5143824 5154408 5675103 5680368 5692056 5765184 5798709 5885292 5890752 6390414 6403563 6485832 6627096 6640732 6726048 6858432 6872544 7296561 7455483 7566804 7573824 7589408 7731612 7847056 8520552 8538084 8647776 8827938 8836128 9728748 9748766 9940644 9961098 10089072 10287648 10308816 11350206 11360736 11384112 11597418 11621281 11770584 12780828 12807126 12971664 13241907 13254192 13281464 13452096 13745088 14593122 14623149 14910966 14941647 15133608 15178816 15463224 15694112 17025309 17041104 17076168 17295552 17396127 17655876 17672256 19210689 19457496 19497532 19881288 19922196 20178144 20575296 20617632 21889683 22366449 22700412 22721472 22768224 23194836 23242562 23541168 25561656 25614252 25943328 26483814 26508384 26562928 29186244 29246298 29821932 29883294 30267216 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204724086 204914016 208753524 209183058 211870512 230528268 233489952 233970384 238354326 238575456 238844767 239066352 262676196 263216682 268949646 272404944 272965448 278338032 278910744 282494016 306455562 307086129 307371024 311960512 313130286 313774587 317805768 318755136 345792402 350234928 350955576 357531489 357863184 358599528 363206592 371117376 371880992 394825023 403424469 408607416 409448172 409828032 417507048 418366116 423741024 459683343 461056536 466979904 467940768 476708652 477150912 477689534 478132704 518688603 525352392 526433364 537899292 544809888 545930896 556676064 557821488 612911124 614172258 614742048 626260572 627549174 635611536 691584804 700469856 701911152 715062978 715726368 716534301 717199056 743761984 789650046 806848938 817214832 818896344 835014096 836732232 847482048 919366686 921258387 922113072 935881536 941323761 953417304 955379068 956265408 1037377206 1050704784 1052866728 1072594467 1075798584 1089619776 1091861792 1113352128 1115642976 1184475069 1210273407 1225822248 1228344516 1229484096 1252521144 1255098348 1271223072 1383169608 1400939712 1403822304 1430125956 1431452736 1433068602 1434398112 1556065809 1579300092 1613697876 1634429664 1637792688 1670028192 1673464464 1838733372 1842516774 1844226144 1882647522 1906834608 1910758136 2074754412 2101409568 2105733456 2145188934 2149602903 2151597168 2183723584 2231285952 2368950138 2373824521 2420546814 2451644496 2456689032 2505042288 2510196696 2542446144 2763775161 2766339216 2807644608 2823971283 2860251912 2866137204 2868796224 3112131618 3158600184 3217783401 3227395752 3268859328 3275585376 3340056384 3346928928 3553425207 3630820221 3677466744 3685033548 3688452288 3765295044 3813669216 3821516272 4149508824 4202819136 4211466912 4290377868 4299205806 4303194336 4737900276 4747649042 4841093628 4903288992 4913378064 5010084576 5020393392 5527550322 5532678432 5647942566 5720503824 5732274408 6224263236 6317200368 6435566802 6448808709 6454791504 6551170752 6693857856 7106850414 7121473563 7261640442 7354933488 7370067096 7530590088 7627338432 7643032544 8291325483 8299017648 8422933824 8471913849 8580755736 8598411612 8606388672 9475800552 9495298084 9682187256 9806577984 9826756128 10020169152 10040786784 10660275621 10892460663 11055100644 11065356864 11295885132 11441007648 11464548816 12448526472 12634400736 12871133604 12897617418 12909583008 14213700828 14242947126 14523280884 14709866976 14740134192 15061180176 15286065088 16582650966 16598035296 16616771647 16943827698 17161511472 17196823224 18951601104 18990596168 19346426127 19364374512 19653512256 20081573568 21320551242 21364420689 21784921326 22110201288 22591770264 22882015296 22929097632 24873976449 24897052944 25268801472 25415741547 25742267208 25795234836 25819166016 28427401656 28485894252 29046561768 29419733952 29480268384 30122360352 31980826863 33165301932 33196070592 33233543294 33887655396 34323022944 34393646448 37903202208 37981192336 38692852254 38728749024 42641102484 42728841378 43569842652 44220402576 45183540528 45858195264 49747952898 49794105888 49850314941 50831483094 51484534416 51590469672 56854803312 56971788504 58039278381 58093123536 58960536768 60244720704 63961653726 64093262067 66330603864 66467086588 67775310792 68646045888 68787292896 74621929347 75806404416 75962384672 76247224641 77385704508 77457498048 85282204968 85457682756 87139685304 88440805152 90367081056 99495905796 99588211776 99700629882 101662966188 102969068832 103180939344 113709606624 113943577008 116078556762 116186247072 116317401529 127923307452 128186524134 132661207728 132934173176 135550621584 137574585792 149243858694 149550944823 151924769344 152494449282 154771409016 170564409936 170915365512 174117835143 174279370608 176881610304 180734162112 192279786201 198991811592 199401259764 203325932376 205938137664 206361878688 223865788041 227419213248 227887154016 232157113524 232372494144 232634803058 255846614904 256373048268 265322415456 265868346352 271101243168 298487717388 299101889646 304988898564 309542818032 341128819872 341830731024 348235670286 348558741216 348952204587 384559572402 397983623184 398802519528 406651864752 412723757376 447731576082 448652834469 455774308032 464314227048 465269606116 511693229808 512746096536 522353505429 530644830912 531736692704 542202486336 576839358603 596975434776 598203779292 609977797128 619085636064 682257639744 683661462048 696471340572 697117482432 697904409174 769119144804 795967246368 797605039056 813303729504 895463152164 897305668938 928628454096 930539212232 1023386459616 1025492193072 1044707010858 1046856613761 1063473385408 1153678717206 1193950869552 1196407558584 1219955594256 1238171272128 1345958503407 1367322924096 1392942681144 1395808818348 1538238289608 1567060516287 1591934492736 1595210078112 1626607459008 1730518075809 1790926304328 1794611337876 1857256908192 1861078424464 2046772919232 2050984386144 2089414021716 2093713227522 2307357434412 2387901739104 2392815117168 2439911188512 2691917006814 2785885362288 2791617636696 3076476579216 3134121032574 3140569841283 3190420156224 3461036151618 3581852608656 3589222675752 3714513816384 3722156848928 4037875510221 4101968772288 4178828043432 4187426455044 4614714868824 4775803478208 4785630234336 4879822377024 5191554227427 5383834013628 5571770724576 5583235273392 6152953158432 6268242065148 6281139682566 6922072303236 7163705217312 7178445351504 7444313697856 8075751020442 8357656086864 8374852910088 9229429737648 9421709523849 9571260468672 10383108454854 10767668027256 11143541449152 11166470546784 12113626530663 12305906316864 12536484130296 12562279365132 13844144606472 14327410434624 14356890703008 15574662682281 16151502040884 16715312173728 16749705820176 18458859475296 18843419047698 20766216909708 21535336054512 22332941093568 24227253061326 25072968260592 25124558730264 27688289212944 28265128571547 28713781406016 31149325364562 32303004081768 33430624347456 33499411640352 36340879591989 36917718950592 37686838095396 41532433819416 43070672109024 48454506122652 50145936521184 50249117460528 55376578425888 56530257143094 62298650729124 64606008163536 66998823280704 72681759183978 75373676190792 83064867638832 84795385714641 86141344218048 96909012245304 100291873042368 100498234921056 109022638775967 110753156851776 113060514286188 124597301458248 129212016327072 145363518367956 150747352381584 166129735277664 169590771429282 193818024490608 200996469842112 218045277551934 226121028572376 249194602916496 254386157143923 258424032654144 290727036735912 301494704763168 332259470555328 339181542858564 387636048981216 436090555103868 452242057144752 498389205832992 508772314287846 581454073471824 602989409526336 678363085717128 763158471431769 775272097962432 872181110207736 904484114289504 996778411665984 1017544628575692 1162908146943648 1356726171434256 1526316942863538 1744362220415472 1808968228579008 2035089257151384 2325816293887296 2713452342868512 3052633885727076 3488724440830944 4070178514302768 5426904685737024 6105267771454152 6977448881661888 8140357028605536 12210535542908304 16280714057211072 24421071085816608 48842142171633216
- Sum of all divisors σ(n): 169473772321283430
- Sum of proper divisors (its aliquot sum) s(n): 120631630149650214
- 48842142171633216 is an abundant number, because the sum of its proper divisors (120631630149650214) is greater than itself. Its abundance is 71789487978016998
Bases of 48842142171633216
- Binary: 101011011000010110101011011001100011010110010110010000002
- Hexadecimal: 0xAD85AB66359640
- Base-36: DCX3ECU9000
Squares and roots of 48842142171633216
- 48842142171633216 squared (488421421716332162) is 2385554851914031845035304834502656
- 48842142171633216 cubed (488421421716332163) is 116515609235414566346145394829888226015190609821696
-
The
square root of 48842142171633216 is 221002584.0836102441 -
The
cube root of 48842142171633216 is 365537.1890416031
Scales and comparisons
How big is 48842142171633216?- 48,842,142,171,633,216 seconds is equal to 1,553,029,042 years, 20 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 48,842,142,171,633,216 would take you about four billion, six hundred fifty-nine million, eighty-seven thousand, one hundred twenty-seven 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 48842142171633216 cubic inches would be around 30461.4 feet tall.
Recreational maths with 48842142171633216
- 48842142171633216 backwards is 61233617124124884
- 48842142171633216 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48842142171633216's digits is 63
- More coming soon!
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"Number 48842142171633216 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 48842142171633216 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/48842142171633216/
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The information we have on file for 48842142171633216 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 48842142171633216, math, Factors of 48842142171633216, curriculum, school, college, exams, university, Prime factorization of 48842142171633216, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, eight hundred forty-two trillion, one hundred forty-two billion, one hundred seventy-one million, six hundred thirty-three thousand, two hundred sixteen.