2138815427392000

Names of 2138815427392000

• Cardinal: 2138815427392000 can be written as Two quadrillion, one hundred thirty-eight trillion, eight hundred fifteen billion, four hundred twenty-seven million, three hundred ninety-two thousand.

Scientific notation

• Scientific notation: 2.138815427392 × 10¹⁵

Factors of 2138815427392000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2069

Divisors of 2138815427392000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 53 56 64 70 80 92 100 106 112 115 125 128 140 160 161 175 184 200 212 224 230 250 256 265 280 320 322 350 368 371 400 424 448 460 500 512 530 560 575 640 644 700 736 742 800 805 848 875 896 920 1000 1060 1120 1150 1219 1280 1288 1325 1400 1472 1484 1600 1610 1696 1750 1792 1840 1855 1979 2000 2120 2240 2300 2438 2560 2576 2650 2800 2875 2944 2968 3200 3220 3392 3500 3584 3680 3710 3958 4000 4025 4240 4480 4600 4876 5152 5300 5600 5750 5888 5936 6095 6400 6440 6625 6784 7000 7360 7420 7916 8000 8050 8480 8533 8960 9200 9275 9752 9895 10304 10600 11200 11500 11776 11872 12190 12800 12880 13250 13568 13853 14000 14720 14840 15832 16000 16100 16960 17066 17920 18400 18550 19504 19790 20125 20608 21200 22400 23000 23744 24380 25760 26500 27136 27706 28000 29440 29680 30475 31664 32000 32200 33920 34132 36800 37100 39008 39580 40250 41216 42400 42665 44800 45517 46000 46375 47488 48760 49475 51520 53000 55412 56000 58880 59360 60950 63328 64000 64400 67840 68264 69265 73600 74200 78016 79160 80500 82432 84800 85330 89600 91034 92000 92750 94976 97520 98950 103040 104887 106000 110824 112000 118720 121900 126656 128800 135680 136528 138530 147200 148400 152375 156032 158320 161000 169600 170660 182068 184000 185500 189952 195040 197900 206080 209774 212000 213325 221648 224000 227585 237440 243800 247375 253312 257600 273056 277060 294400 296800 304750 312064 316640 318619 322000 339200 341320 346325 364136 368000 371000 390080 395800 412160 419548 424000 426650 443296 448000 455170 474880 487600 494750 506624 515200 524435 546112 554120 593600 609500 624128 633280 637238 644000 678400 682640 692650 728272 734209 736000 742000 780160 791600 839096 848000 853300 886592 910340 949760 975200 989500 1013248 1030400 1048870 1066625 1092224 1108240 1137925 1187200 1219000 1266560 1274476 1288000 1365280 1385300 1456544 1468418 1472000 1484000 1560320 1583200 1593095 1678192 1696000 1706600 1731625 1773184 1820680 1950400 1979000 2060800 2097740 2133250 2184448 2216480 2275850 2374400 2412401 2438000 2533120 2548952 2576000 2622175 2730560 2770600 2913088 2936836 2968000 3120640 3166400 3186190 3356384 3392000 3413200 3463250 3546368 3641360 3671045 3900800 3916441 3958000 4195480 4266500 4368896 4432960 4551700 4748800 4824802 4876000 5066240 5097904 5152000 5244350 5461120 5541200 5689625 5826176 5873672 5936000 6332800 6372380 6712768 6826400 6926500 7092736 7282720 7342090 7801600 7832882 7916000 7965475 8390960 8533000 8865920 9103400 9649604 9752000 10195808 10304000 10488700 10922240 11082400 11379250 11652352 11747344 11872000 12062005 12665600 12744760 13110875 13425536 13652800 13853000 14565440 14684180 15603200 15665764 15832000 15930950 16781920 16886807 17066000 17731840 18206800 18355225 19299208 19504000 19582205 20391616 20977400 21844480 22164800 22758500 23304704 23494688 23744000 24124010 25331200 25489520 26221750 26851072 27305600 27415087 27706000 29130880 29368360 31331528 31664000 31861900 33563840 33773614 34132000 35463680 36413600 36710450 38598416 39008000 39164410 39827375 40783232 41954800 44329600 45517000 46989376 48248020 50979040 52443500 53702144 54611200 54830174 55412000 58261760 58736720 60310025 62663056 63328000 63723800 67127680 67547228 68264000 72827200 73420900 77196832 78016000 78328820 79654750 81566464 83909600 84434035 88659200 90078143 91034000 91776125 93978752 96496040 97911025 101958080 104887000 109222400 109660348 110824000 116523520 117473440 120620050 125326112 126656000 127447600 134255360 135094456 136528000 137075435 145654400 146841800 154393664 156657640 159309500 163132928 167819200 168868070 177318400 180156286 182068000 183552250 187957504 192992080 195822050 203916160 207571373 209774000 219320696 221648000 234946880 241240100 250652224 254895200 268510720 270188912 273056000 274150870 291308800 293683600 301550125 308787328 313315280 318619000 335638400 337736140 360312572 364136000 367104500 375915008 385984160 391644100 407832320 415142746 419548000 422170175 438641392 443296000 450390715 469893760 482480200 489555125 501304448 509790400 540377824 546112000 548301740 582617600 587367200 603100250 617574656 626630560 630547001 637238000 671276800 675472280 685377175 720625144 728272000 734209000 771968320 783288200 815664640 830285492 839096000 844340350 877282784 886592000 900781430 939787520 964960400 979110250 1002608896 1019580800 1037856865 1080755648 1096603480 1174734400 1206200500 1235149312 1253261120 1261094002 1274476000 1342553600 1350944560 1370754350 1441250288 1452999611 1456544000 1468418000 1543936640 1566576400 1660570984 1678192000 1688680700 1754565568 1801562860 1879575040 1929920800 1958220500 2005217792 2039161600 2075713730 2110850875 2161511296 2193206960 2251953575 2349468800 2412401000 2506522240 2522188004 2548952000 2701889120 2741508700 2882500576 2905999222 2913088000 2936836000 3087873280 3133152800 3152735005 3321141968 3356384000 3377361400 3426885875 3509131136 3603125720 3859841600 3916441000 4078323200 4151427460 4221701750 4323022592 4386413920 4503907150 4698937600 4774141579 4824802000 5013044480 5044376008 5097904000 5189284325 5403778240 5483017400 5765001152 5811998444 5873672000 6175746560 6266305600 6305470010 6642283936 6712768000 6754722800 6853771750 7018262272 7206251440 7264998055 7719683200 7832882000 8302854920 8443403500 8646045184 8772827840 9007814300 9397875200 9548283158 9649604000 10026088960 10088752016 10195808000 10378568650 10807556480 10966034800 11259767875 11530002304 11623996888 11747344000 12532611200 12610940020 13284567872 13509445600 13707543500 14036524544 14412502880 14529996110 15439366400 15665764000 15763675025 16605709840 16886807000 17545655680 18015628600 19096566316 19299208000 20177504032 20391616000 20757137300 21615112960 21932069600 22519535750 23060004608 23247993776 23494688000 23870707895 25065222400 25221880040 25946421625 26569135744 27018891200 27415087000 28825005760 29059992220 30878732800 31331528000 31527350050 33211419680 33418991053 33773614000 35091311360 36031257200 36324990275 38193132632 38598416000 40355008064 41514274600 43230225920 43864139200 45039071500 46120009216 46495987552 46989376000 47741415790 50130444800 50443760080 51892843250 53138271488 54037782400 54830174000 57650011520 58119984440 62663056000 63054700100 66422839360 66837982106 67547228000 70182622720 72062514400 72649980550 76386265264 77196832000 78818375125 80710016128 83028549200 87728278400 90078143000 92991975104 95482831580 100887520160 103785686500 106276542976 108075564800 109660348000 115300023040 116239968880 119353539475 125326112000 126109400200 132845678720 133675964212 135094456000 144125028800 145299961100 152772530528 154393664000 157636750250 161420032256 166057098400 167094955265 175456556800 180156286000 181624951375 185983950208 190965663160 201775040320 207571373000 216151129600 219320696000 230600046080 232479937760 238707078950 250652224000 252218800400 265691357440 267351928424 270188912000 288250057600 290599922200 305545061056 315273500500 322840064512 332114196800 334189910530 350913113600 360312572000 363249902750 371967900416 381931326320 403550080640 415142746000 438641392000 464959875520 477414157900 504437600800 531382714880 534703856848 540377824000 576500115200 581199844400 596767697375 611090122112 630547001000 664228393600 668379821060 720625144000 726499805500 743935800832 763862652640 807100161280 830285492000 835474776325 877282784000 929919751040 954828315800 1008875201600 1069407713696 1080755648000 1153000230400 1162399688800 1193535394750 1222180244224 1261094002000 1328456787200 1336759642120 1441250288000 1452999611000 1527725305280 1614200322560 1660570984000 1670949552650 1754565568000 1859839502080 1909656631600 2017750403200 2138815427392 2324799377600 2387070789500 2444360488448 2522188004000 2656913574400 2673519284240 2882500576000 2905999222000 3055450610560 3321141968000 3341899105300 3719679004160 3819313263200 4035500806400 4177373881625 4277630854784 4649598755200 4774141579000 5044376008000 5347038568480 5765001152000 5811998444000 6110901221120 6642283936000 6683798210600 7638626526400 8071001612800 8354747763250 8555261709568 9299197510400 9548283158000 10088752016000 10694077136960 11623996888000 12221802442240 13284567872000 13367596421200 15277253052800 16709495526500 17110523419136 18598395020800 19096566316000 20177504032000 21388154273920 23247993776000 26735192842400 30554506105600 33418991053000 38193132632000 40355008064000 42776308547840 46495987552000 53470385684800 61109012211200 66837982106000 76386265264000 85552617095680 92991975104000 106940771369600 133675964212000 152772530528000 213881542739200 267351928424000 305545061056000 427763085478400 534703856848000 1069407713696000 2138815427392000
• Sum of all divisors σ(n): 6483452238641664
• Sum of proper divisors (its aliquot sum) s(n): 4344636811249664
• 2138815427392000 is an abundant number, because the sum of its proper divisors (4344636811249664) is greater than itself. Its abundance is 2205821383857664

Bases of 2138815427392000

• Binary: 111100110010011110111000101110010100011001000000000₂
• Hexadecimal: 0x7993DC5CA3200
• Base-36: L25A8QW35S

Squares and roots of 2138815427392000

• 2138815427392000 squared (2138815427392000²) is 4574531432450023623921664000000
• 2138815427392000 cubed (2138815427392000³) is 9784078400813735254878510463287820288000000000
• The square root of 2138815427392000 is 46247328.8676438047
• The cube root of 2138815427392000 is 128842.0924536673

Scales and comparisons

• 2,138,815,427,392,000 seconds is equal to 68,007,714 years, 41 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 2,138,815,427,392,000 would take you about two hundred four million, twenty-three thousand, one hundred forty-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 2138815427392000 cubic inches would be around 10736.8 feet tall.

Recreational maths with 2138815427392000

• 2138815427392000 backwards is 0002937245188312
• The number of decimal digits it has is: 16
• The sum of 2138815427392000's digits is 55
• More coming soon!