48108388713758720
48,108,388,713,758,720 is an even composite number composed of five prime numbers multiplied together.
What does the number 48108388713758720 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
48108388713758720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 48108388713758720:
226 × 5 × 19 × 412 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 19 × 41 × 41 × 67 × 67)See below for interesting mathematical facts about the number 48108388713758720 from the Numbermatics database.
Names of 48108388713758720
- Cardinal: 48108388713758720 can be written as Forty-eight quadrillion, one hundred eight trillion, three hundred eighty-eight billion, seven hundred thirteen million, seven hundred fifty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.810838871375872 × 1016
Factors of 48108388713758720
Divisors of 48108388713758720
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 32 38 40 41 64 67 76 80 82 95 128 134 152 160 164 190 205 256 268 304 320 328 335 380 410 512 536 608 640 656 670 760 779 820 1024 1072 1216 1273 1280 1312 1340 1520 1558 1640 1681 2048 2144 2432 2546 2560 2624 2680 2747 3040 3116 3280 3362 3895 4096 4288 4489 4864 5092 5120 5248 5360 5494 6080 6232 6365 6560 6724 7790 8192 8405 8576 8978 9728 10184 10240 10496 10720 10988 12160 12464 12730 13120 13448 13735 15580 16384 16810 17152 17956 19456 20368 20480 20992 21440 21976 22445 24320 24928 25460 26240 26896 27470 31160 31939 32768 33620 34304 35912 38912 40736 40960 41984 42880 43952 44890 48640 49856 50920 52193 52480 53792 54940 62320 63878 65536 67240 68608 71824 77824 81472 81920 83968 85291 85760 87904 89780 97280 99712 101840 104386 104960 107584 109880 112627 124640 127756 131072 134480 137216 143648 155648 159695 162944 163840 167936 170582 171520 175808 179560 184049 194560 199424 203680 208772 209920 215168 219760 225254 249280 255512 260965 262144 268960 274432 287296 311296 319390 325888 327680 335872 341164 343040 351616 359120 368098 389120 398848 407360 417544 419840 426455 430336 439520 450508 498560 511024 521930 524288 537920 548864 563135 574592 622592 638780 651776 655360 671744 682328 686080 703232 718240 736196 778240 797696 814720 835088 839680 852910 860672 879040 901016 920245 997120 1022048 1043860 1048576 1075840 1097728 1126270 1149184 1245184 1277560 1303552 1310720 1343488 1364656 1372160 1406464 1436480 1472392 1556480 1595392 1629440 1670176 1679360 1705820 1721344 1758080 1802032 1840490 1994240 2044096 2087720 2097152 2139913 2151680 2195456 2252540 2298368 2490368 2555120 2607104 2621440 2686976 2729312 2744320 2812928 2872960 2944784 3112960 3190784 3258880 3340352 3358720 3411640 3442688 3496931 3516160 3604064 3680980 3988480 4088192 4175440 4194304 4279826 4303360 4390912 4505080 4596736 4980736 5110240 5214208 5242880 5373952 5458624 5488640 5625856 5745920 5889568 6225920 6381568 6517760 6680704 6717440 6823280 6885376 6993862 7032320 7208128 7361960 7546009 7976960 8176384 8350880 8388608 8559652 8606720 8781824 9010160 9193472 9961472 10220480 10428416 10485760 10699565 10747904 10917248 10977280 11251712 11491840 11779136 12451840 12763136 13035520 13361408 13434880 13646560 13770752 13987724 14064640 14416256 14723920 15092018 15953920 16352768 16701760 16777216 17119304 17213440 17484655 17563648 18020320 18386944 19922944 20440960 20856832 20971520 21399130 21495808 21834496 21954560 22503424 22983680 23558272 24903680 25526272 26071040 26722816 26869760 27293120 27541504 27975448 28129280 28832512 29447840 30184036 31907840 32705536 33403520 33554432 34238608 34426880 34969310 35127296 36040640 36773888 37730045 39845888 40881920 41713664 41943040 42798260 42991616 43668992 43909120 45006848 45967360 47116544 49807360 51052544 52142080 53445632 53739520 54586240 55083008 55950896 56258560 57665024 58895680 60368072 63815680 65411072 66807040 67108864 68477216 68853760 69938620 70254592 72081280 73547776 75460090 79691776 81763840 83427328 83886080 85596520 85983232 87337984 87818240 90013696 91934720 94233088 99614720 102105088 104284160 106891264 107479040 109172480 110166016 111901792 112517120 115330048 117791360 120736144 127631360 130822144 133614080 136954432 137707520 139877240 140509184 143374171 144162560 147095552 150920180 159383552 163527680 166854656 167772160 171193040 171966464 174675968 175636480 180027392 183869440 188466176 199229440 204210176 208568320 213782528 214958080 218344960 220332032 223803584 225034240 230660096 235582720 241472288 255262720 261644288 267228160 273908864 275415040 279754480 281018368 286748342 288325120 294191104 301840360 318767104 327055360 333709312 335544320 342386080 343932928 349351936 351272960 360054784 367738880 376932352 398458880 408420352 417136640 427565056 429916160 436689920 440664064 447607168 450068480 461320192 471165440 482944576 510525440 523288576 534456320 547817728 550830080 559508960 562036736 573496684 576650240 588382208 603680720 637534208 654110720 667418624 684772160 687865856 698703872 702545920 716870855 720109568 735477760 753864704 796917760 816840704 834273280 855130112 859832320 873379840 881328128 895214336 900136960 922640384 942330880 965889152 1021050880 1046577152 1068912640 1095635456 1101660160 1119017920 1124073472 1146993368 1153300480 1176764416 1207361440 1275068416 1308221440 1334837248 1369544320 1375731712 1397407744 1405091840 1433741710 1440219136 1470955520 1507729408 1593835520 1633681408 1668546560 1710260224 1719664640 1746759680 1762656256 1790428672 1800273920 1845280768 1884661760 1931778304 2042101760 2093154304 2137825280 2191270912 2203320320 2238035840 2248146944 2293986736 2306600960 2353528832 2414722880 2616442880 2669674496 2739088640 2751463424 2794815488 2810183680 2867483420 2880438272 2941911040 3015458816 3187671040 3267362816 3337093120 3420520448 3439329280 3493519360 3525312512 3580857344 3600547840 3690561536 3769323520 3863556608 4084203520 4186308608 4275650560 4382541824 4406640640 4476071680 4496293888 4587973472 4613201920 4707057664 4829445760 5232885760 5339348992 5478177280 5589630976 5620367360 5734966840 5760876544 5883822080 6030917632 6375342080 6534725632 6674186240 6841040896 6878658560 6987038720 7050625024 7161714688 7201095680 7381123072 7538647040 7727113216 8168407040 8372617216 8551301120 8765083648 8813281280 8952143360 9175946944 9226403840 9414115328 9658891520 10465771520 10678697984 10956354560 11179261952 11240734720 11469933680 11521753088 11767644160 12061835264 13069451264 13348372480 13682081792 13757317120 13974077440 14101250048 14323429376 14402191360 14762246144 15077294080 15454226432 16336814080 16745234432 17102602240 17530167296 17626562560 17904286720 18351893888 18452807680 18828230656 19317783040 20931543040 21357395968 21912709120 22358523904 22481469440 22939867360 23043506176 23535288320 24123670528 26138902528 26696744960 27364163584 27948154880 28202500096 28646858752 28804382720 29524492288 30154588160 30908452864 32673628160 33490468864 34205204480 35060334592 35253125120 35808573440 36703787776 36905615360 37656461312 38635566080 41863086080 42714791936 43825418240 44717047808 45879734720 46087012352 47070576640 48247341056 52277805056 53393489920 54728327168 55896309760 56405000192 57293717504 57608765440 59048984576 60309176320 61816905728 65347256320 66980937728 68410408960 70120669184 70506250240 71617146880 73407575552 73811230720 75312922624 77271132160 83726172160 85429583872 87650836480 89434095616 91759469440 92174024704 94141153280 96494682112 106786979840 109456654336 111792619520 112810000384 114587435008 115217530880 118097969152 120618352640 123633811456 130694512640 133961875456 136820817920 140241338368 141012500480 143234293760 146815151104 147622461440 150625845248 154542264320 167452344320 175301672960 178868191232 183518938880 184348049408 188282306560 192989364224 213573959680 218913308672 223585239040 229174870016 230435061760 236195938304 241236705280 247267622912 261389025280 267923750912 273641635840 280482676736 282025000960 286468587520 293630302208 295244922880 301251690496 309084528640 334904688640 350603345920 357736382464 367037877760 376564613120 385978728448 427147919360 437826617344 447170478080 458349740032 460870123520 472391876608 482473410560 494535245824 535847501824 547283271680 560965353472 564050001920 572937175040 587260604416 590489845760 618169057280 669809377280 701206691840 715472764928 734075755520 753129226240 771957456896 875653234688 894340956160 916699480064 921740247040 944783753216 964946821120 989070491648 1071695003648 1094566543360 1121930706944 1145874350080 1174521208832 1180979691520 1236338114560 1339618754560 1402413383680 1430945529856 1468151511040 1506258452480 1543914913792 1751306469376 1788681912320 1833398960128 1889567506432 1929893642240 1978140983296 2143390007296 2189133086720 2243861413888 2291748700160 2349042417664 2361959383040 2472676229120 2679237509120 2804826767360 2861891059712 2936303022080 3087829827584 3502612938752 3577363824640 3666797920256 3779135012864 3859787284480 3956281966592 4378266173440 4487722827776 4583497400320 4698084835328 4723918766080 4945352458240 5358475018240 5609653534720 5723782119424 5872606044160 6175659655168 7154727649280 7333595840512 7558270025728 7719574568960 7912563933184 8756532346880 8975445655552 9166994800640 9396169670656 9447837532160 9890704916480 10716950036480 11219307069440 11745212088320 12351319310336 14309455298560 14667191681024 15439149137920 15825127866368 17513064693760 17950891311104 18333989601280 18792339341312 18895675064320 19781409832960 22438614138880 23490424176640 28618910597120 29334383362048 30878298275840 31650255732736 35901782622208 36667979202560 37584678682624 37791350128640 39562819665920 44877228277760 46980848353280 58668766724096 61756596551680 63300511465472 71803565244416 73335958405120 75169357365248 79125639331840 89754456555520 93961696706560 117337533448192 126601022930944 143607130488832 146671916810240 150338714730496 158251278663680 179508913111040 187923393413120 234675066896384 253202045861888 293343833620480 300677429460992 316502557327360 359017826222080 375846786826240 506404091723776 586687667240960 601354858921984 633005114654720 718035652444160 751693573652480 1173375334481920 1202709717843968 1266010229309440 1503387147304960 2405419435687936 2532020458618880 3006774294609920 4810838871375872 6013548589219840 9621677742751744 12027097178439680 24054194356879360 48108388713758720
- Sum of all divisors σ(n): 126460656417707640
- Sum of proper divisors (its aliquot sum) s(n): 78352267703948920
- 48108388713758720 is an abundant number, because the sum of its proper divisors (78352267703948920) is greater than itself. Its abundance is 30243878990190200
Bases of 48108388713758720
- Binary: 101010101110101001010011000111000000000000000000000000002
- Hexadecimal: 0xAAEA531C000000
- Base-36: D5P00O6DU68
Squares and roots of 48108388713758720
- 48108388713758720 squared (481083887137587202) is 2314417064634107389738230376038400
- 48108388713758720 cubed (481083887137587203) is 111342875791174077938591764205941698365487054848000
-
The
square root of 48108388713758720 is 219336245.7820383137 -
The
cube root of 48108388713758720 is 363697.4620404763
Scales and comparisons
How big is 48108388713758720?- 48,108,388,713,758,720 seconds is equal to 1,529,697,952 years, 4 weeks, 1 day, 9 hours, 25 minutes, 20 seconds.
-
To count from 1 to 48,108,388,713,758,720 would take you about four billion, five hundred eighty-nine million, ninety-three thousand, eight hundred fifty-six 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 48108388713758720 cubic inches would be around 30308.1 feet tall.
Recreational maths with 48108388713758720
- 48108388713758720 backwards is 02785731788380184
- 48108388713758720 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48108388713758720's digits is 80
- More coming soon!
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The information we have on file for 48108388713758720 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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