12427949441936000

Names of 12427949441936000

• Cardinal: 12427949441936000 can be written as Twelve quadrillion, four hundred twenty-seven trillion, nine hundred forty-nine billion, four hundred forty-one million, nine hundred thirty-six thousand.

Scientific notation

• Scientific notation: 1.2427949441936 × 10¹⁶

Factors of 12427949441936000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 108

Divisors of 12427949441936000

• Number of divisors d(n): 1600
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 53 56 64 70 80 82 98 100 106 112 125 128 140 160 164 175 196 200 205 212 224 245 250 265 280 287 320 328 343 350 371 392 400 410 424 448 490 500 530 560 574 640 656 686 700 742 784 800 820 848 875 896 980 1000 1025 1060 1120 1148 1225 1312 1325 1372 1400 1435 1484 1568 1600 1640 1696 1715 1750 1855 1960 2000 2009 2050 2120 2173 2240 2296 2401 2450 2597 2624 2650 2744 2800 2809 2870 2968 3136 3200 3280 3392 3430 3500 3710 3920 4000 4018 4100 4240 4346 4480 4592 4802 4900 5125 5194 5248 5300 5488 5600 5618 5740 5936 6125 6272 6560 6625 6784 6860 7000 7175 7420 7840 8000 8036 8200 8480 8575 8692 9184 9275 9604 9800 10045 10250 10388 10600 10865 10976 11200 11236 11480 11872 12005 12250 12985 13120 13250 13720 14000 14045 14063 14350 14840 15211 15680 16000 16072 16400 16960 17150 17384 18179 18368 18550 19208 19600 19663 20090 20500 20776 21200 21730 21952 22400 22472 22960 23744 24010 24500 25970 26240 26500 27440 28000 28090 28126 28700 29680 30422 31360 32144 32800 33920 34300 34768 35875 36358 36736 37100 38416 39200 39326 40180 41000 41552 42400 42875 43460 43904 44944 45920 46375 47488 48020 49000 50225 51940 53000 54325 54880 56000 56180 56252 57400 59360 60025 60844 64288 64925 65600 68600 69536 70225 70315 71750 72716 74200 76055 76832 78400 78652 80360 82000 83104 84800 85750 86920 89888 90895 91840 92750 96040 98000 98315 98441 100450 103880 106000 106477 108650 109760 112000 112360 112504 114800 115169 118720 120050 121688 127253 128576 129850 131200 137200 137641 139072 140450 140630 143500 145432 148400 148877 152110 153664 156800 157304 160720 164000 166208 169600 171500 173840 179776 181790 183680 185500 192080 196000 196630 196882 200900 207760 212000 212954 217300 219520 224720 225008 229600 230338 237440 240100 243376 251125 254506 257152 259700 271625 274400 275282 278144 280900 281260 287000 290864 296800 297754 300125 304220 307328 314608 321440 324625 328000 332416 343000 347680 351125 351575 359552 363580 371000 380275 384160 392000 393260 393764 401800 415520 424000 425908 434600 449440 450016 454475 459200 460676 480200 486752 491575 492205 502250 509012 519400 532385 543250 548800 550564 561800 562520 574000 575845 581728 593600 595508 600250 608440 629216 636265 642880 649250 656000 686000 688205 695360 702250 703150 727160 742000 744385 745339 760550 768320 784000 786520 787528 803600 806183 831040 848000 851816 869200 898880 900032 908950 918400 921352 960400 963487 973504 983150 984410 1004500 1018024 1038800 1042139 1064770 1086500 1097600 1101128 1123600 1125040 1148000 1151690 1163456 1187200 1191016 1200500 1216880 1258432 1272530 1285760 1298500 1372000 1376410 1390720 1404500 1406300 1454320 1484000 1488770 1490678 1521100 1536640 1573040 1575056 1607200 1612366 1662080 1703632 1738400 1757875 1797760 1800064 1817900 1842704 1901375 1920800 1926974 1947008 1966300 1968820 2009000 2036048 2077600 2084278 2129540 2173000 2202256 2247200 2250080 2272375 2296000 2303380 2326912 2382032 2401000 2433760 2457875 2461025 2516864 2545060 2597000 2661925 2744000 2752820 2809000 2812600 2879225 2908640 2968000 2977540 2981356 3042200 3146080 3150112 3181325 3214400 3224732 3407264 3441025 3476800 3515750 3635800 3685408 3721925 3726695 3802750 3841600 3853948 3932600 3937640 4018000 4030915 4072096 4155200 4168556 4259080 4346000 4404512 4494400 4500160 4544750 4592000 4606760 4764064 4802000 4817435 4867520 4915750 4922050 5090120 5194000 5210695 5217373 5323850 5488000 5505640 5618000 5625200 5643281 5758450 5817280 5936000 5955080 5962712 6084400 6103957 6292160 6300224 6362650 6428800 6449464 6744409 6814528 6882050 6953600 7031500 7271600 7294973 7370816 7443850 7453390 7605500 7683200 7707896 7865200 7875280 7890481 8036000 8061830 8144192 8310400 8337112 8518160 8692000 8809024 8988800 9000320 9089500 9213520 9528128 9604000 9634870 9735040 9831500 9844100 10180240 10388000 10421390 10434746 10647700 11011280 11236000 11250400 11286562 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21363849500 21582108800 21651479864 22093346800 22121661520 22573124000 22645680470 22877035328 23343913600 23927511440 24415828000 24744548416 25249539200 25281898880 25532405500 25880777680 26977636000 27064349830 27345727360 27616683500 27652076900 28596294160 29179892000 29311201514 29909389300 30930685520 31561924000 31602373600 31703952658 32350972100 32681479040 33498516016 34182159200 34565096125 35349354880 35394658432 35745367700 36233088752 37386736625 37890089762 38284018304 38663356900 39502967000 40438715125 40851848800 41409244288 41738984000 41873145020 42727699000 43302959728 44186693600 44243323040 44681709625 45146248000 45291360940 45754070656 47855022880 48329196125 48831656000 49489096832 51064811000 51761555360 52341431275 53955272000 54128699660 55233367000 55304153800 56614201175 57192588320 58359784000 58622403028 59818778600 61861371040 63123848000 63204747200 63407905316 64701944200 66997032032 67660874575 68364318400 69130192250 71490735400 72466177504 73278003785 74773473250 75780179524 77326713800 79005934000 79259881645 80877430250 81703697600 83477968000 83746290040 85455398000 86605919456 88373387200 88486646080 89363419250 90292496000 90582721880 94725224405 95710045760 96658392250 97663312000 102129622000 103523110720 104682862550 107910544000 108257399320 110466734000 110608307600 110963834303 113228402350 114385176640 116719568000 117244806056 119637557200 123722742080 126247696000 126409494400 126815810632 129403888400 133994064064 135321749150 136728636800 138260384500 142981470800 144932355008 146556007570 149546946500 151560359048 154653427600 158011868000 158519763290 161754860500 163407395200 167492580080 170910796000 173211838912 176746774400 176973292160 178726838500 181165443760 189450448810 191420091520 193316784500 204259244000 207046221440 209365725100 216514798640 220933468000 221216615200 221927668606 226456804700 228770353280 234489612112 239275114400 247445484160 253631621264 258807776800 261707156375 267988128128 270643498300 276520769000 283071005875 285962941600 289864710016 293112015140 299093893000 303120718096 309306855200 316023736000 317039526580 323509721000 334985160160 338304372875 341821592000 346423677824 357453677000 362330887520 366390018925 378900897620 386633569000 396299408225 408518488000 418731450200 433029597280 441866936000 442433230400 443855337212 452913609400 468979224224 473626122025 478550228800 507263242528 517615553600 523414312750 541286996600 553041538000 554819171515 566142011750 571925883200 586224030280 598187786000 606241436192 618613710400 632047472000 634079053160 647019442000 669970320320 676608745750 683643184000 714907354000 724661775040 732780037850 757801795240 773267138000 776746840121 792598816450 817036976000 837462900400 866059194560 883733872000 884866460800 887710674424 905827218800 937958448448 947252244050 957100457600 1014526485056 1035231107200 1046828625500 1082573993200 1106083076000 1109638343030 1132284023500 1143851766400 1172448060560 1196375572000 1212482872384 1237227420800 1268158106320 1294038884000 1339940640640 1353217491500 1429814708000 1449323550080 1465560075700 1515603590480 1546534276000 1553493680242 1585197632900 1674925800800 1732118389120 1775421348848 1811654437600 1831950094625 1875916896896 1894504488100 1981497041125 2029052970112 2093657251000 2165147986400 2212166152000 2219276686060 2264568047000 2344896121120 2368130610125 2392751144000 2424965744768 2536316212640 2588077768000 2706434983000 2774095857575 2859629416000 2931120151400 3031207180960 3093068552000 3106987360484 3170395265800 3349851601600 3550842697696 3623308875200 3663900189250 3789008976200 3883734200605 3962994082250 4187314502000 4330295972800 4424332304000 4438553372120 4529136094000 4689792242240 4736261220250 4785502288000 5072632425280 5176155536000 5412869966000 5548191715150 5719258832000 5862240302800 6062414361920 6186137104000 6213974720968 6340790531600 6699703203200 7101685395392 7246617750400 7327800378500 7578017952400 7767468401210 7925988164500 8374629004000 8660591945600 8877106744240 9058272188000 9379584484480 9472522440500 10145264850560 10825739932000 11096383430300 11724480605600 12124828723840 12427949441936 12681581063200 13870479287875 14203370790784 14655600757000 15156035904800 15534936802420 15851976329000 16749258008000 17754213488480 18116544376000 18945044881000 19418671003025 21651479864000 22192766860600 23448961211200 24855898883872 25363162126400 27740958575750 29311201514000 30312071809600 31069873604840 31703952658000 33498516016000 35508426976960 36233088752000 37890089762000 38837342006050 43302959728000 44385533721200 46897922422400 49711797767744 50726324252800 55481917151500 58622403028000 60624143619200 62139747209680 63407905316000 71016853953920 75780179524000 77674684012100 88771067442400 97093355015125 99423595535488 110963834303000 117244806056000 124279494419360 126815810632000 151560359048000 155349368024200 177542134884800 194186710030250 221927668606000 234489612112000 248558988838720 253631621264000 303120718096000 310698736048400 355084269769600 388373420060500 443855337212000 497117977677440 621397472096800 776746840121000 887710674424000 1242794944193600 1553493680242000 1775421348848000 2485589888387200 3106987360484000 6213974720968000 12427949441936000
• Sum of all divisors σ(n): 37635975863445960
• Sum of proper divisors (its aliquot sum) s(n): 25208026421509960
• 12427949441936000 is an abundant number, because the sum of its proper divisors (25208026421509960) is greater than itself. Its abundance is 12780076979573960

Bases of 12427949441936000

• Binary: 101100001001110010011101110111110001011110101010000000₂
• Hexadecimal: 0x2C272777C5EA80
• Base-36: 3EDC95LKZNK

Squares and roots of 12427949441936000

• 12427949441936000 squared (12427949441936000²) is 154453927331317333835428096000000
• 12427949441936000 cubed (12427949441936000³) is 1919545599982068756815732016148855033856000000000
• The square root of 12427949441936000 is 111480713.3182058537
• The cube root of 12427949441936000 is 231632.6767659547

Scales and comparisons

• 12,427,949,441,936,000 seconds is equal to 395,170,350 years, 4 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 12,427,949,441,936,000 would take you about one billion, one hundred eighty-five million, five hundred eleven thousand and fifty 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 12427949441936000 cubic inches would be around 19302.7 feet tall.

Recreational maths with 12427949441936000

• 12427949441936000 backwards is 00063914494972421
• The number of decimal digits it has is: 17
• The sum of 12427949441936000's digits is 65
• More coming soon!