42146912735464521728
42,146,912,735,464,521,728 is an even composite number composed of four prime numbers multiplied together.
What does the number 42146912735464521728 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 690 divisors.
42146912735464521728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred ninety divisors.
Prime factorization of 42146912735464521728:
222 × 192 × 107 × 1274
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 19 × 19 × 107 × 127 × 127 × 127 × 127)See below for interesting mathematical facts about the number 42146912735464521728 from the Numbermatics database.
Names of 42146912735464521728
- Cardinal: 42146912735464521728 can be written as Forty-two quintillion, one hundred forty-six quadrillion, nine hundred twelve trillion, seven hundred thirty-five billion, four hundred sixty-four million, five hundred twenty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2146912735464521728 × 1019
Factors of 42146912735464521728
Divisors of 42146912735464521728
- Number of divisors d(n): 690
-
Complete list of divisors:
1 2 4 8 16 19 32 38 64 76 107 127 128 152 214 254 256 304 361 428 508 512 608 722 856 1016 1024 1216 1444 1712 2032 2033 2048 2413 2432 2888 3424 4064 4066 4096 4826 4864 5776 6848 8128 8132 8192 9652 9728 11552 13589 13696 16129 16256 16264 16384 19304 19456 23104 27178 27392 32258 32512 32528 32768 38608 38627 38912 45847 46208 54356 54784 64516 65024 65056 65536 77216 77254 77824 91694 92416 108712 109568 129032 130048 130112 131072 154432 154508 155648 183388 184832 217424 219136 258064 258191 260096 260224 262144 306451 308864 309016 311296 366776 369664 434848 438272 516128 516382 520192 520448 524288 612902 617728 618032 622592 733552 739328 869696 876544 1032256 1032764 1040384 1040896 1048576 1225804 1235456 1236064 1245184 1467104 1478656 1725803 1739392 1753088 2048383 2064512 2065528 2080768 2081792 2097152 2451608 2470912 2472128 2490368 2934208 2957312 3451606 3478784 3506176 4096766 4129024 4131056 4161536 4163584 4194304 4903216 4905629 4941824 4944256 4980736 5822569 5868416 5914624 6903212 6957568 7012352 8193532 8258048 8262112 8323072 8327168 9806432 9811258 9883648 9888512 9961472 11645138 11736832 11829248 13806424 13915136 14024704 16387064 16516096 16524224 16646144 16654336 19612864 19622516 19767296 19777024 19922944 23290276 23473664 23658496 27612848 27830272 28049408 32774128 32790257 33032192 33048448 33292288 33308672 38919277 39225728 39245032 39534592 39554048 39845888 46580552 46947328 47316992 55225696 55660544 56098816 65548256 65580514 66064384 66096896 66584576 66617344 77838554 78451456 78490064 79069184 79108096 79691776 93161104 93894656 94633984 110451392 111321088 112197632 131096512 131161028 132128768 132193792 133169152 133234688 155677108 156902912 156980128 158138368 158216192 186322208 187789312 189267968 219176981 220902784 222642176 224395264 260144641 262193024 262322056 264257536 264387584 266338304 266469376 311354216 313805824 313960256 316276736 316432384 372644416 375578624 378535936 438353962 441805568 445284352 448790528 520289282 524386048 524644112 528515072 528775168 532676608 532938752 622708432 623014883 627611648 627920512 632553472 632864768 739466263 745288832 751157248 757071872 876707924 883611136 890568704 1040578564 1048772096 1049288224 1057030144 1057550336 1065877504 1245416864 1246029766 1255223296 1255841024 1265106944 1265729536 1478932526 1490577664 1502314496 1514143744 1753415848 1767222272 1781137408 2081157128 2097544192 2098576448 2114060288 2115100672 2131755008 2490833728 2492059532 2510446592 2511682048 2530213888 2531459072 2957865052 2981155328 3004628992 3506831696 3534444544 3562274816 4162314256 4164362639 4195088384 4197152896 4228120576 4230201344 4263510016 4942748179 4981667456 4984119064 5020893184 5023364096 5060427776 5062918144 5915730104 5962310656 6009257984 7013663392 7068889088 7124549632 8324628512 8328725278 8390176768 8394305792 8456241152 8460402688 8527020032 9885496358 9963334912 9968238128 10041786368 10046728192 10120855552 10125836288 11831460208 11924621312 12018515968 14027326784 14137778176 14249099264 16649257024 16657450556 16780353536 16788611584 16912482304 16920805376 19770992716 19926669824 19936476256 20083572736 20093456384 20251672576 23662920416 23849242624 24037031936 27835476587 28054653568 28275556352 28498198528 33298514048 33314901112 33560707072 33577223168 33824964608 33841610752 39541985432 39853339648 39872952512 40167145472 40186912768 40503345152 47325840832 47698485248 48074063872 55670953174 56109307136 56551112704 56996397056 66597028096 66629802224 67121414144 67154446336 67649929216 67683221504 79083970864 79122890141 79706679296 79745905024 80334290944 80373825536 81006690304 93912215401 94651681664 95396970496 96148127744 111341906348 112218614272 113102225408 133194056192 133259604448 134242828288 134308892672 135366443008 158167941728 158245780282 159413358592 159491810048 160668581888 160747651072 162013380608 187824430802 189303363328 190793940992 192296255488 222683812696 224437228544 226204450816 266388112384 266519208896 268485656576 268617785344 270732886016 316335883456 316491560564 318826717184 318983620096 321337163776 321495302144 375648861604 378606726656 381587881984 445367625392 448874457088 452408901632 528874055153 532776224768 533038417792 536971313152 537235570688 541465772032 632671766912 632983121128 637653434368 637967240192 642674327552 642990604288 751297723208 757213453312 763175763968 890735250784 897748914176 904817803264 1057748110306 1065552449536 1066076835584 1073942626304 1074471141376 1082931544064 1265343533824 1265966242256 1275306868736 1275934480384 1285348655104 1285981208576 1502595446416 1514426906624 1526351527936 1781470501568 1795497828352 1809635606528 2115496220612 2131104899072 2132153671168 2147885252608 2148942282752 2530687067648 2531932484512 2550613737472 2551868960768 2571962417152 3005190892832 3028853813248 3052703055872 3562941003136 3590995656704 3619271213056 4230992441224 4262209798144 4264307342336 4295770505216 4297884565504 5061374135296 5063864969024 5101227474944 5103737921536 5143924834304 6010381785664 6057707626496 6105406111744 7125882006272 7181991313408 7238542426112 8461984882448 8524419596288 8528614684672 8591541010432 8595769131008 10048607047907 10122748270592 10127729938048 10202454949888 10207475843072 10287849668608 12020763571328 12115415252992 12210812223488 14251764012544 14363982626816 16923969764896 17048839192576 17057229369344 17191538262016 20097214095814 20245496541184 20255459876096 20404909899776 20414951686144 20575699337216 24041527142656 24230830505984 24421624446976 28503528025088 28727965253632 33847939529792 34097678385152 34114458738688 34383076524032 40194428191628 40490993082368 40510919752192 40809819799552 40829903372288 48083054285312 48461661011968 57007056050176 57455930507264 67695879059584 68195356770304 68228917477376 68766153048064 80388856383256 80981986164736 81021839504384 81619639599104 81659806744576 96166108570624 96923322023936 114014112100352 114911861014528 135391758119168 136390713540608 136457834954752 137532306096128 160777712766512 161963972329472 162043679008768 163239279198208 163319613489152 192332217141248 193846644047872 228028224200704 229823722029056 270783516238336 272781427081216 272915669909504 321555425533024 323927944658944 324087358017536 326639226978304 384664434282496 387693288095744 456056448401408 459647444058112 541567032476672 545562854162432 545831339819008 643110851066048 647855889317888 648174716035072 653278453956608 769328868564992 775386576191488 912112896802816 919294888116224 1083134064953344 1091125708324864 1091662679638016 1286221702132096 1295711778635776 1296349432070144 1306556907913216 1538657737129984 1550773152382976 1824225793605632 2166268129906688 2183325359276032 2572443404264192 2591423557271552 2592698864140288 2613113815826432 3077315474259968 3101546304765952 3648451587211264 4332536259813376 4366650718552064 5144886808528384 5182847114543104 5185397728280576 6154630948519936 7296903174422528 8665072519626752 8733301437104128 10289773617056768 10365694229086208 10370795456561152 12309261897039872 14593806348845056 17330145039253504 17466602874208256 20579547234113536 20731388458172416 20741590913122304 24618523794079744 29187612697690112 34660290078507008 41159094468227072 41483181826244608 49237047588159488 58375225395380224 69320580157014016 82318188936454144 82966363652489216 98474095176318976 116750450790760448 138641160314028032 164636377872908288 165932727304978432 196948190352637952 277282320628056064 329272755745816576 331865454609956864 393896380705275904 554564641256112128 658545511491633152 1109129282512224256 1317091022983266304 2218258565024448512 2634182045966532608 5268364091933065216 10536728183866130432 21073456367732260864 42146912735464521728
- Sum of all divisors σ(n): 90507931462813358916
- Sum of proper divisors (its aliquot sum) s(n): 48361018727348837188
- 42146912735464521728 is an abundant number, because the sum of its proper divisors (48361018727348837188) is greater than itself. Its abundance is 6214105991884315460
Bases of 42146912735464521728
- Binary: 1001001000111001111110100111010100001110001100000000000000000000002
- Hexadecimal: 0x248E7E9D438C00000
- Base-36: 8W7NDNIUWHYBK
Squares and roots of 42146912735464521728
- 42146912735464521728 squared (421469127354645217282) is 1776362253130861493692270592595784105984
- 42146912735464521728 cubed (421469127354645217283) is 74868184869279558773398202801319844479723816944666622820352
-
The
square root of 42146912735464521728 is 6492065367.4670067763 -
The
cube root of 42146912735464521728 is 3480074.8854130447
Scales and comparisons
How big is 42146912735464521728?- 42,146,912,735,464,521,728 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,146,912,735,464,521,728 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 42146912735464521728 cubic inches would be around 290006.2 feet tall.
Recreational maths with 42146912735464521728
- 42146912735464521728 backwards is 82712546453721964124
- The number of decimal digits it has is: 20
- The sum of 42146912735464521728's digits is 83
- More coming soon!
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The information we have on file for 42146912735464521728 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 42146912735464521728, math, Factors of 42146912735464521728, curriculum, school, college, exams, university, Prime factorization of 42146912735464521728, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, one hundred forty-six quadrillion, nine hundred twelve trillion, seven hundred thirty-five billion, four hundred sixty-four million, five hundred twenty-one thousand, seven hundred twenty-eight.