48668407947213120
48,668,407,947,213,120 is an even composite number composed of seven prime numbers multiplied together.
48668407947213120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 48668407947213120:
26 × 33 × 5 × 11 × 19 × 1314143 × 20509
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 19 × 1314143 × 20509)See below for interesting mathematical facts about the number 48668407947213120 from the Numbermatics database.
Names of 48668407947213120
- Cardinal: 48668407947213120 can be written as Forty-eight quadrillion, six hundred sixty-eight trillion, four hundred seven billion, nine hundred forty-seven million, two hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.866840794721312 × 1016
Factors of 48668407947213120
Divisors of 48668407947213120
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 32 33 36 38 40 44 45 48 54 55 57 60 64 66 72 76 80 88 90 95 96 99 108 110 114 120 132 135 144 152 160 165 171 176 180 190 192 198 209 216 220 228 240 264 270 285 288 297 304 320 330 342 352 360 380 396 418 432 440 456 480 495 513 528 540 570 576 594 608 627 660 684 704 720 760 792 836 855 864 880 912 960 990 1026 1045 1056 1080 1140 1188 1216 1254 1320 1368 1440 1485 1520 1584 1672 1710 1728 1760 1824 1881 1980 2052 2090 2112 2160 2280 2376 2508 2565 2640 2736 2880 2970 3040 3135 3168 3344 3420 3520 3648 3762 3960 4104 4180 4320 4560 4752 5016 5130 5280 5472 5643 5940 6080 6270 6336 6688 6840 7524 7920 8208 8360 8640 9120 9405 9504 10032 10260 10560 10944 11286 11880 12540 13376 13680 15048 15840 16416 16720 18240 18810 19008 20064 20509 20520 22572 23760 25080 27360 28215 30096 31680 32832 33440 37620 40128 41018 41040 45144 47520 50160 54720 56430 60192 61527 66880 75240 82036 82080 90288 95040 100320 102545 112860 120384 123054 150480 164072 164160 180576 184581 200640 205090 225599 225720 246108 300960 307635 328144 361152 369162 389671 410180 451198 451440 492216 553743 601920 615270 656288 676797 738324 779342 820360 902396 902880 922905 984432 1107486 1127995 1169013 1230540 1312576 1314143 1353594 1476648 1558684 1640720 1804792 1805760 1845810 1948355 1968864 2030391 2214972 2255990 2338026 2461080 2628286 2707188 2768715 2953296 3117368 3281440 3383985 3507039 3609584 3691620 3896710 3937728 3942429 4060782 4286381 4429944 4511980 4676052 4922160 5256572 5414376 5537430 5845065 5906592 6091173 6234736 6562880 6570715 6767970 7014078 7219168 7383240 7793420 7884858 8121564 8572762 8859888 9023960 9352104 9844320 10151955 10513144 10521117 10828752 11074860 11690130 11813184 11827287 12182346 12469472 12859143 13141430 13535940 14028156 14438336 14455573 14766480 15586840 15769716 16243128 17145524 17535195 17719776 18047920 18704208 19688640 19712145 20303910 21026288 21042234 21431905 21657504 22149720 23380260 23654574 24364692 24938944 24968717 25718286 26282860 27071880 28056312 28911146 29532960 30455865 31173680 31539432 32486256 34291048 35070390 35439552 35481861 36095840 37408416 38577429 39424290 40607820 42052576 42084468 42863810 43315008 43366719 44299440 46760520 47309148 48729384 49937434 51436572 52565720 52605585 54143760 56112624 57822292 59065920 59136435 60911730 62347360 63078864 64295715 64972512 68582096 70140780 70963722 72191680 72277865 74816832 74906151 77154858 78848580 81215640 84105152 84168936 85727620 86733438 88598880 93521040 94618296 97458768 99874868 102873144 105131440 105211170 108287520 112225248 115644584 115732287 118272870 121823460 124694720 124843585 126157728 128591430 129945024 130100157 137164192 140281560 141927444 144555730 149812302 154309716 157697160 162431280 168337872 171455240 173466876 177197760 177409305 187042080 189236592 192887145 194917536 199749736 205746288 210262880 210422340 216575040 216833595 224450496 224718453 231289168 231464574 236545740 243646920 249687170 252315456 257182860 260200314 274328384 274655887 280563120 283854888 289111460 299624604 308619432 315394320 324862560 336675744 342910480 346933752 354818610 374084160 374530755 378473184 385774290 389835072 390300471 399499472 411492576 420525760 420844680 433667190 449436906 462578336 462929148 473091480 487293840 499374340 514365720 520400628 549311774 561126240 567709776 578222920 578661435 599249208 617238864 630788640 649725120 650500785 673351488 674155359 685820960 693867504 709637220 749061510 756946368 771548580 780600942 798998944 822985152 823967661 841689360 867334380 898873812 925156672 925858296 946182960 974587680 998748680 1028731440 1040801256 1098623548 1122252480 1123592265 1135419552 1156445840 1157322870 1198498416 1234477728 1261577280 1301001570 1348310718 1371641920 1373279435 1387735008 1419274440 1498123020 1543097160 1561201884 1597997888 1647935322 1683378720 1734668760 1797747624 1851716592 1892365920 1949175360 1951502355 1997497360 2057462880 2081602512 2197247096 2247184530 2270839104 2312891680 2314645740 2396996832 2468955456 2471902983 2602003140 2696621436 2746558870 2775470016 2838548880 2996246040 3086194320 3122403768 3295870644 3366757440 3370776795 3469337520 3595495248 3703433184 3784731840 3903004710 3994994720 4114925760 4119838305 4163205024 4394494192 4494369060 4625783360 4629291480 4793993664 4943805966 5204006280 5393242872 5493117740 5677097760 5992492080 6172388640 6244807536 6591741288 6741553590 6938675040 7190990496 7406866368 7415708949 7806009420 7989989440 8239676610 8326410048 8788988384 8988738120 9258582960 9887611932 10408012560 10786485744 10986235480 11354195520 11984984160 12344777280 12359514915 12489615072 13183482576 13483107180 13877350080 14381980992 14831417898 15612018840 16479353220 17577976768 17977476240 18517165920 19775223864 20816025120 21572971488 21972470960 23969968320 24719029830 24979230144 26366965152 26951758787 26966214360 29662835796 31224037680 32958706440 35954952480 37034331840 37078544745 39550447728 41632050240 43145942976 43944941920 49438059660 52733930304 53903517574 53932428720 59325671592 62448075360 65917412880 71909904960 74157089490 79100895456 80855276361 87889883840 98876119320 107807035148 107864857440 118651343184 124896150720 131834825760 134758793935 148314178980 158201790912 161710552722 197752238640 215614070296 215729714880 237302686368 242565829083 263669651520 269517587870 296469346657 296628357960 323421105444 395504477280 404276381805 431228140592 474605372736 485131658166 512083416953 539035175740 592938693314 593256715920 646842210888 727697487249 791008954560 808552763610 862456281184 889408039971 970263316332 1024166833906 1078070351480 1185877386628 1186513431840 1212829145415 1293684421776 1455394974498 1482346733285 1536250250859 1617105527220 1724912562368 1778816079942 1940526632664 2048333667812 2156140702960 2371754773256 2373026863680 2425658290830 2560417084765 2587368843552 2668224119913 2910789948996 2964693466570 3072500501718 3234211054440 3557632159884 3638487436245 3881053265328 4096667335624 4312281405920 4447040199855 4608750752577 4743509546512 4851316581660 5120834169530 5174737687104 5336448239826 5632917586483 5821579897992 5929386933140 6145001003436 6468422108880 7115264319768 7276974872490 7681251254295 7762106530656 8004672359739 8193334671248 8624562811840 8894080399710 9217501505154 9487019093024 9702633163320 10241668339060 10672896479652 11265835172966 11643159795984 11858773866280 12290002006872 12936844217760 13341120599565 13826252257731 14230528639536 14553949744980 15362502508590 15524213061312 16009344719478 16386669342496 16898752759449 17788160799420 18435003010308 18974038186048 19405266326640 20483336678120 21345792959304 22531670345932 23043753762885 23286319591968 23717547732560 24580004013744 25873688435520 26682241199130 27652504515462 28164587932415 28461057279072 29107899489960 30725005017180 32018689438956 32773338684992 33797505518898 35576321598840 36870006020616 38810532653280 40023361798695 40966673356240 42691585918608 45063340691864 46087507525770 46572639183936 47435095465120 49160008027488 50696258278347 53364482398260 55305009030924 56329175864830 56922114558144 58215798979920 61450010034360 64037378877912 67595011037796 69131261288655 71152643197680 73740012041232 77621065306560 80046723597390 81933346712480 84493763797245 85383171837216 90126681383728 92175015051540 94870190930240 98320016054976 101392516556694 106728964796520 110610018061848 112658351729660 116431597959840 122900020068720 128074757755824 135190022075592 138262522577310 142305286395360 147480024082464 152088774835041 160093447194780 163866693424960 168987527594490 170766343674432 180253362767456 184350030103080 202785033113388 213457929593040 221220036123696 225316703459320 232863195919680 245800040137440 253481291391735 256149515511648 270380044151184 276525045154620 284610572790720 294960048164928 304177549670082 320186894389560 337975055188980 360506725534912 368700060206160 405570066226776 426915859186080 442440072247392 450633406918640 491600080274880 506962582783470 512299031023296 540760088302368 553050090309240 608355099340164 640373788779120 675950110377960 737400120412320 760443874175205 811140132453552 853831718372160 884880144494784 901266813837280 1013925165566940 1081520176604736 1106100180618480 1216710198680328 1280747577558240 1351900220755920 1474800240824640 1520887748350410 1622280264907104 1802533627674560 2027850331133880 2212200361236960 2433420397360656 2561495155116480 2703800441511840 3041775496700820 3244560529814208 4055700662267760 4424400722473920 4866840794721312 5407600883023680 6083550993401640 8111401324535520 9733681589442624 12167101986803280 16222802649071040 24334203973606560 48668407947213120
- Sum of all divisors σ(n): 197167269132288000
- Sum of proper divisors (its aliquot sum) s(n): 148498861185074880
- 48668407947213120 is an abundant number, because the sum of its proper divisors (148498861185074880) is greater than itself. Its abundance is 99830453237861760
Bases of 48668407947213120
- Binary: 101011001110011110101000101111110111101000111001010000002
- Hexadecimal: 0xACE7A8BF7A3940
- Base-36: DB7IDYEPQO0
Squares and roots of 48668407947213120
- 48668407947213120 squared (486684079472131202) is 2368613932116357177012374700134400
- 48668407947213120 cubed (486684079472131203) is 115276669117691435163612180614927652224169443328000
-
The
square root of 48668407947213120 is 220609174.6669052745 -
The
cube root of 48668407947213120 is 365103.2620755999
Scales and comparisons
How big is 48668407947213120?- 48,668,407,947,213,120 seconds is equal to 1,547,504,831 years, 23 weeks, 3 days, 7 hours, 12 minutes.
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To count from 1 to 48,668,407,947,213,120 would take you about four billion, six hundred forty-two million, five hundred fourteen thousand, four hundred ninety-four 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 48668407947213120 cubic inches would be around 30425.3 feet tall.
Recreational maths with 48668407947213120
- 48668407947213120 backwards is 02131274970486684
- 48668407947213120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48668407947213120's digits is 72
- More coming soon!
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The information we have on file for 48668407947213120 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 48668407947213120, math, Factors of 48668407947213120, curriculum, school, college, exams, university, Prime factorization of 48668407947213120, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, six hundred sixty-eight trillion, four hundred seven billion, nine hundred forty-seven million, two hundred thirteen thousand, one hundred twenty.