3982638671136000
3,982,638,671,136,000 is an even composite number composed of five prime numbers multiplied together.
3982638671136000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 3982638671136000:
28 × 36 × 53 × 17 × 31692
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 3169 × 3169)See below for interesting mathematical facts about the number 3982638671136000 from the Numbermatics database.
Names of 3982638671136000
- Cardinal: 3982638671136000 can be written as Three quadrillion, nine hundred eighty-two trillion, six hundred thirty-eight billion, six hundred seventy-one million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 3.982638671136 × 1015
Factors of 3982638671136000
Divisors of 3982638671136000
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 243 250 255 256 270 272 288 300 306 320 324 340 360 375 384 400 405 408 425 432 450 459 480 486 500 510 540 544 576 600 612 640 648 675 680 720 729 750 765 768 800 810 816 850 864 900 918 960 972 1000 1020 1080 1088 1125 1152 1200 1215 1224 1275 1280 1296 1350 1360 1377 1440 1458 1500 1530 1600 1620 1632 1700 1728 1800 1836 1920 1944 2000 2025 2040 2125 2160 2176 2250 2295 2304 2400 2430 2448 2550 2592 2700 2720 2754 2880 2916 3000 3060 3169 3200 3240 3264 3375 3400 3456 3600 3645 3672 3825 3840 3888 4000 4050 4080 4131 4250 4320 4352 4500 4590 4800 4860 4896 5100 5184 5400 5440 5508 5760 5832 6000 6075 6120 6338 6375 6400 6480 6528 6750 6800 6885 6912 7200 7290 7344 7650 7776 8000 8100 8160 8262 8500 8640 9000 9180 9507 9600 9720 9792 10125 10200 10368 10800 10880 11016 11475 11520 11664 12000 12150 12240 12393 12676 12750 12960 13056 13500 13600 13770 14400 14580 14688 15300 15552 15845 16000 16200 16320 16524 17000 17280 18000 18225 18360 19014 19125 19200 19440 19584 20250 20400 20655 20736 21600 21760 22032 22950 23328 24000 24300 24480 24786 25352 25500 25920 27000 27200 27540 28521 28800 29160 29376 30375 30600 31104 31690 32000 32400 32640 33048 34000 34425 34560 36000 36450 36720 38028 38250 38880 39168 40500 40800 41310 43200 44064 45900 46656 47535 48000 48600 48960 49572 50704 51000 51840 53873 54000 54400 55080 57042 57375 57600 58320 58752 60750 61200 61965 62208 63380 64800 65280 66096 68000 68850 72000 72900 73440 76056 76500 77760 79225 81000 81600 82620 85563 86400 88128 91125 91800 93312 95070 96000 97200 97920 99144 101408 102000 103275 103680 107746 108000 108800 110160 114084 114750 116640 117504 121500 122400 123930 126760 129600 132192 136000 137700 142605 144000 145800 146880 152112 153000 155520 158450 161619 162000 163200 165240 171126 172125 172800 176256 182250 183600 186624 190140 194400 195840 198288 202816 204000 206550 215492 216000 220320 228168 229500 233280 237675 243000 244800 247860 253520 256689 259200 264384 269365 272000 275400 285210 288000 291600 293760 304224 306000 309825 311040 316900 323238 324000 326400 330480 342252 344250 352512 364500 367200 380280 388800 396125 396576 405632 408000 413100 427815 430984 432000 440640 456336 459000 466560 475350 484857 486000 489600 495720 507040 513378 516375 518400 528768 538730 544000 550800 570420 583200 587520 608448 612000 619650 633800 646476 648000 660960 684504 688500 713025 729000 734400 760560 770067 777600 792250 793152 808095 811264 816000 826200 855630 861968 864000 881280 912672 918000 933120 950700 969714 972000 979200 991440 1014080 1026756 1032750 1057536 1077460 1101600 1140840 1166400 1188375 1216896 1224000 1239300 1267600 1283445 1292952 1296000 1321920 1346825 1369008 1377000 1426050 1454571 1458000 1468800 1521120 1540134 1549125 1555200 1584500 1586304 1616190 1632000 1652400 1711260 1723936 1762560 1825344 1836000 1901400 1939428 1944000 1982880 2028160 2053512 2065500 2139075 2154920 2203200 2281680 2310201 2332800 2376750 2424285 2433792 2448000 2478600 2535200 2566890 2585904 2592000 2643840 2693650 2738016 2754000 2852100 2909142 2916000 2937600 3042240 3080268 3098250 3169000 3172608 3232380 3304800 3422520 3447872 3565125 3650688 3672000 3802800 3850335 3878856 3888000 3965760 4040475 4056320 4107024 4131000 4278150 4309840 4363713 4406400 4563360 4620402 4665600 4753500 4848570 4896000 4957200 5070400 5133780 5171808 5287680 5387300 5476032 5508000 5704200 5818284 5832000 6084480 6160536 6196500 6338000 6417225 6464760 6609600 6734125 6845040 6895744 7130250 7272855 7301376 7344000 7605600 7700670 7757712 7776000 7931520 8080950 8214048 8262000 8556300 8619680 8727426 8812800 9126720 9240804 9507000 9697140 9914400 10042561 10140800 10267560 10343616 10695375 10774600 10952064 11016000 11408400 11551005 11636568 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109263063680 110628851976 115238387475 115690302720 117136431504 120510732000 122017116150 122920946640 124457458473 125674934400 128042652750 130151590560 131115676416 135574573500 136578829600 138286064970 139638816000 144612878400 146420539380 147505135968 153651183300 156181908672 157093668000 160680976000 162689488200 163894595520 165943277964 170723537000 173535454080 180766098000 183025674225 184381419960 192063979125 192817171200 195227385840 196673514624 203361860250 204868244400 207429097455 208242544896 209458224000 216919317600 218526127360 221257703952 230476774950 234272863008 241021464000 244034232300 245841893280 248914916946 251349868800 256085305500 260303181120 271149147000 273157659200 276572129940 289225756800 292841078760 295010271936 305042790375 307302366600 312363817344 314187336000 321361952000 325378976400 327789191040 331886555928 341447074000 345715162425 347070908160 361532196000 366051348450 368762839920 384127958250 390454771680 393347029248 406723720500 409736488800 414858194910 418916448000 433838635200 442515407904 460953549900 468545726016 482042928000 488068464600 491683786560 497829833892 512170611000 520606362240 542298294000 546315318400 553144259880 576191937375 578451513600 585682157520 590020543872 610085580750 614604733200 622287292365 624727634688 628374672000 650757952800 655578382080 663773111856 682894148000 691430324850 723064392000 732102696900 737525679840 768255916500 780909543360 813447441000 819472977600 829716389820 867677270400 885030815808 915128371125 921907099800 937091452032 964085856000 976136929200 983367573120 995659667784 1024341222000 1037145487275 1041212724480 1084596588000 1092630636800 1106288519760 1152383874750 1171364315040 1180041087744 1220171161500 1229209466400 1244574584730 1256749344000 1301515905600 1327546223712 1365788296000 1382860649700 1446128784000 1464205393800 1475051359680 1536511833000 1561819086720 1626894882000 1638945955200 1659432779640 1728575812125 1735354540800 1770061631616 1830256742250 1843814199600 1874182904064 1952273858400 1966735146240 1991319335568 2048682444000 2074290974550 2169193176000 2212577039520 2304767749500 2342728630080 2440342323000 2458418932800 2489149169460 2603031811200 2655092447424 2731576592000 2765721299400 2892257568000 2928410787600 2950102719360 3073023666000 3111436461825 3123638173440 3253789764000 3277891910400 3318865559280 3457151624250 3540123263232 3660513484500 3687628399200 3904547716800 3982638671136 4097364888000 4148581949100 4338386352000 4425154079040 4609535499000 4685457260160 4880684646000 4916837865600 4978298338920 5185727436375 5206063622400 5310184894848 5463153184000 5531442598800 5856821575200 5900205438720 6146047332000 6222872923650 6507579528000 6637731118560 6914303248500 7321026969000 7375256798400 7809095433600 7965277342272 8194729776000 8297163898200 8676772704000 8850308158080 9219070998000 9370914520320 9761369292000 9833675731200 9956596677840 10371454872750 10620369789696 11062885197600 11713643150400 12292094664000 12445745847300 13015159056000 13275462237120 13828606497000 14642053938000 14750513596800 15557182309125 15618190867200 15930554684544 16389459552000 16594327796400 17700616316160 18438141996000 19522738584000 19913193355680 20742909745500 22125770395200 23427286300800 24584189328000 24891491694600 26030318112000 26550924474240 27657212994000 29284107876000 29501027193600 31114364618250 31861109369088 33188655592800 36876283992000 39045477168000 39826386711360 41485819491000 44251540790400 46854572601600 49168378656000 49782983389200 53101848948480 55314425988000 58568215752000 62228729236500 66377311185600 73752567984000 78090954336000 79652773422720 82971638982000 88503081580800 99565966778400 110628851976000 117136431504000 124457458473000 132754622371200 147505135968000 159305546845440 165943277964000 199131933556800 221257703952000 234272863008000 248914916946000 265509244742400 331886555928000 398263867113600 442515407904000 497829833892000 663773111856000 796527734227200 995659667784000 1327546223712000 1991319335568000 3982638671136000
- Sum of all divisors σ(n): 15755047257398904
- Sum of proper divisors (its aliquot sum) s(n): 11772408586262904
- 3982638671136000 is an abundant number, because the sum of its proper divisors (11772408586262904) is greater than itself. Its abundance is 7789769915126904
Bases of 3982638671136000
- Binary: 11100010011000110000010100110100001100000101000000002
- Hexadecimal: 0xE263053430500
- Base-36: 137Q6Y44000
Squares and roots of 3982638671136000
- 3982638671136000 squared (39826386711360002) is 15861410784827923959530496000000
- 3982638671136000 cubed (39826386711360003) is 63170267970429301908610190031906963456000000000
-
The
square root of 3982638671136000 is 63108150.5919481053 -
The
cube root of 3982638671136000 is 158510.1105265657
Scales and comparisons
How big is 3982638671136000?- 3,982,638,671,136,000 seconds is equal to 126,635,590 years, 32 weeks, 6 days.
-
To count from 1 to 3,982,638,671,136,000 would take you about three hundred seventy-nine million, nine hundred six thousand, seven hundred seventy-one 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 3982638671136000 cubic inches would be around 13209.2 feet tall.
Recreational maths with 3982638671136000
- 3982638671136000 backwards is 0006311768362893
- The number of decimal digits it has is: 16
- The sum of 3982638671136000's digits is 63
- More coming soon!
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"Number 3982638671136000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 3982638671136000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/3982638671136000/
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The information we have on file for 3982638671136000 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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