3968148434206720

Names of 3968148434206720

• Cardinal: 3968148434206720 can be written as Three quadrillion, nine hundred sixty-eight trillion, one hundred forty-eight billion, four hundred thirty-four million, two hundred six thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 3.96814843420672 × 10¹⁵

Factors of 3968148434206720

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 362

Divisors of 3968148434206720

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 5 8 10 16 20 32 37 40 61 64 74 80 122 128 148 160 185 244 256 257 296 305 320 370 488 512 514 592 610 640 740 976 1024 1028 1184 1220 1280 1285 1369 1480 1952 2048 2056 2257 2368 2440 2560 2570 2738 2960 3721 3904 4096 4112 4514 4736 4880 5120 5140 5476 5920 6845 7442 7808 8192 8224 9028 9472 9509 9760 10240 10280 10952 11285 11840 13690 14884 15616 15677 16384 16448 18056 18605 18944 19018 19520 20480 20560 21904 22570 23680 27380 29768 31232 31354 32896 36112 37210 37888 38036 39040 40960 41120 43808 45140 47360 47545 50653 54760 59536 62464 62708 65792 72224 74420 75776 76072 78080 78385 81920 82240 83509 87616 90280 94720 95090 101306 109520 119072 124928 125416 131584 137677 144448 148840 151552 152144 156160 156770 164480 167018 175232 180560 189440 190180 202612 219040 238144 249856 250832 253265 263168 275354 288896 297680 303104 304288 312320 313540 328960 334036 350464 351833 361120 378880 380360 405224 417545 438080 476288 499712 501664 506530 526336 550708 577792 580049 595360 606208 608576 624640 627080 657920 668072 688385 700928 703666 722240 757760 760720 810448 835090 876160 952576 956297 999424 1003328 1013060 1052672 1101416 1155584 1160098 1190720 1217152 1249280 1254160 1315840 1336144 1376770 1401856 1407332 1444480 1515520 1521440 1620896 1670180 1752320 1759165 1905152 1912594 2006656 2026120 2105344 2202832 2311168 2320196 2381440 2434304 2498560 2508320 2631680 2672288 2753540 2803712 2814664 2888960 2900245 3031040 3042880 3089833 3241792 3340360 3504640 3518330 3810304 3825188 4013312 4052240 4210688 4405664 4622336 4640392 4762880 4781485 4868608 4997120 5016640 5094049 5263360 5344576 5507080 5607424 5629328 5777920 5800490 6085760 6179666 6483584 6680720 7009280 7036660 7620608 7650376 8026624 8104480 8811328 9244672 9280784 9525760 9562970 9737216 10033280 10188098 10526720 10689152 11014160 11214848 11258656 11555840 11600980 12171520 12359332 12967168 13017821 13361440 14018560 14073320 15241216 15300752 15449165 16053248 16208960 17622656 18489344 18561568 19051520 19125940 19474432 20066560 20376196 21053440 21378304 21461813 22028320 22429696 22517312 23111680 23201960 24343040 24718664 25470245 25934336 26035642 26722880 28037120 28146640 30482432 30601504 30898330 32106496 32417920 35245312 35382989 36978688 37123136 38103040 38251880 38948864 40133120 40752392 42756608 42923626 44056640 45034624 46223360 46403920 48686080 49437328 50940490 51868672 52071284 53445760 56074240 56293280 60964864 61203008 61796660 64212992 64835840 65089105 70490624 70765978 74246272 76206080 76503760 77897728 80266240 81504784 85513216 85847252 88113280 90069248 92446720 92807840 97372160 98874656 101880980 103737344 104142568 106891520 107309065 112148480 112586560 122406016 123593320 128425984 129671680 130178210 140981248 141531956 148492544 152412160 153007520 155795456 160532480 163009568 171026432 171694504 176226560 176914945 180138496 184893440 185615680 188479813 194744320 197749312 203761960 207474688 208285136 213783040 214618130 225173120 244812032 247186640 256851968 259343360 260356420 281962496 283063912 296985088 304824320 306015040 321064960 326019136 342052864 343389008 352453120 353829890 360276992 371231360 376959626 389488640 395498624 407523920 414949376 416570272 427566080 429236260 450346240 489624064 494373280 518686720 520712840 563924992 566127824 593970176 612030080 642129920 652038272 684105728 686778016 704906240 707659780 720553984 742462720 753919252 778977280 790997248 794087081 815047840 829898752 833140544 855132160 858472520 900692480 942399065 979248128 988746560 1037373440 1041425680 1127849984 1132255648 1187940352 1224060160 1284259840 1304076544 1309170593 1368211456 1373556032 1409812480 1415319560 1441107968 1484925440 1507838504 1581994496 1588174162 1630095680 1666281088 1710264320 1716945040 1801384960 1884798130 1958496256 1977493120 2074746880 2082851360 2255699968 2264511296 2375880704 2448120320 2608153088 2618341186 2747112064 2819624960 2830639120 2882215936 2969850880 3015677008 3163988992 3176348324 3260191360 3332562176 3420528640 3433890080 3602769920 3769596260 3916992512 3954986240 3970435405 4149493760 4165702720 4529022592 4751761408 4896240640 5216306176 5236682372 5494224128 5639249920 5661278240 5764431872 5939701760 6031354016 6327977984 6352696648 6520382720 6545852965 6665124352 6841057280 6867780160 7205539840 7539192520 7833985024 7909972480 7940870810 8331405440 9058045184 9503522816 9792481280 10432612352 10473364744 10988448256 11278499840 11322556480 11879403520 12062708032 12655955968 12705393296 13040765440 13091705930 13330248704 13735560320 14411079680 15078385040 15667970048 15819944960 15881741620 16662810880 18116090368 19584962560 20865224704 20946729488 21976896512 22645112960 23758807040 24125416064 25311911936 25410786592 26081530880 26183411860 26660497408 27471120640 28822159360 30156770080 31639889920 31763483240 33325621760 36232180736 39169925120 41730449408 41893458976 43953793024 45290225920 47517614080 48250832128 48439311941 50623823872 50821573184 52163061760 52366823720 53320994816 54942241280 60313540160 63279779840 63526966480 66651243520 72464361472 78339850240 83460898816 83786917952 87907586048 90580451840 96501664256 96878623882 101643146368 104326123520 104733647440 106641989632 109884482560 120627080320 126559559680 127053932960 133302487040 144928722944 167573835904 175815172096 181160903680 193003328512 193757247764 203286292736 208652247040 209467294880 213283979264 219768965120 241254160640 242196559705 253119119360 254107865920 266604974080 289857445888 335147671808 351630344192 362321807360 386006657024 387514495528 406572585472 417304494080 418934589760 439537930240 482508321280 484393119410 508215731840 533209948160 579714891776 670295343616 724643614720 772013314048 775028991056 813145170944 837869179520 879075860480 965016642560 968786238820 1016431463680 1066419896320 1340590687232 1449287229440 1544026628096 1550057982112 1626290341888 1675738359040 1758151720960 1930033285120 1937572477640 2032862927360 2681181374464 2898574458880 3088053256192 3100115964224 3252580683776 3351476718080 3860066570240 3875144955280 4065725854720 5362362748928 6200231928448 6505161367552 6702953436160 7720133140480 7750289910560 8131451709440 10724725497856 12400463856896 13010322735104 13405906872320 15440266280960 15500579821120 16262903418880 21449450995712 24800927713792 26811813744640 31001159642240 32525806837760 49601855427584 53623627489280 62002319284480 65051613675520 99203710855168 107247254978560 124004638568960 198407421710336 248009277137920 396814843420672 496018554275840 793629686841344 992037108551680 1984074217103360 3968148434206720
• Sum of all divisors σ(n): 9989601008521680
• Sum of proper divisors (its aliquot sum) s(n): 6021452574314960
• 3968148434206720 is an abundant number, because the sum of its proper divisors (6021452574314960) is greater than itself. Its abundance is 2053304140108240

Bases of 3968148434206720

• Binary: 1110000110010000001010001101110101100100000000000000₂
• Hexadecimal: 0xE19028DD64000
• Base-36: 132LA8364N4

Squares and roots of 3968148434206720

• 3968148434206720 squared (3968148434206720²) is 15746201995897243644595693158400
• 3968148434206720 cubed (3968148434206720³) is 62483266794722376669810730575860295635304448000
• The square root of 3968148434206720 is 62993241.1787702825
• The cube root of 3968148434206720 is 158317.6384435871

Scales and comparisons

• 3,968,148,434,206,720 seconds is equal to 126,174,845 years, 47 weeks, 5 days, 10 hours, 18 minutes, 40 seconds.
• To count from 1 to 3,968,148,434,206,720 would take you about three hundred seventy-eight million, five hundred twenty-four thousand, five hundred thirty-seven 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 3968148434206720 cubic inches would be around 13193.1 feet tall.

Recreational maths with 3968148434206720

• 3968148434206720 backwards is 0276024348418693
• The number of decimal digits it has is: 16
• The sum of 3968148434206720's digits is 67
• More coming soon!