3968014417920

Names of 3968014417920

• Cardinal: 3968014417920 can be written as Three trillion, nine hundred sixty-eight billion, fourteen million, four hundred seventeen thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.96801441792 × 10¹²

Factors of 3968014417920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 130

Divisors of 3968014417920

• Number of divisors d(n): 1632
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 113 120 126 128 135 140 144 147 160 162 168 180 189 192 196 210 216 224 226 240 243 245 252 256 270 280 288 294 315 320 324 336 339 360 378 384 392 405 420 432 441 448 452 480 486 490 504 512 540 560 565 567 576 588 630 640 648 672 678 720 729 735 756 768 784 791 810 840 864 882 896 904 945 960 972 980 1008 1017 1024 1080 1120 1130 1134 1152 1176 1215 1260 1280 1296 1323 1344 1356 1440 1458 1470 1512 1536 1568 1582 1620 1680 1695 1701 1728 1764 1792 1808 1890 1920 1944 1960 2016 2034 2048 2160 2187 2205 2240 2260 2268 2304 2352 2373 2430 2520 2560 2592 2646 2688 2712 2835 2880 2916 2940 3024 3051 3072 3136 3164 3240 3360 3390 3402 3456 3528 3584 3616 3645 3780 3840 3888 3920 3955 3969 4032 4068 4096 4320 4374 4410 4480 4520 4536 4608 4704 4746 4860 5040 5085 5103 5120 5184 5292 5376 5424 5537 5670 5760 5832 5880 6048 6102 6144 6272 6328 6480 6615 6720 6780 6804 6912 7056 7119 7168 7232 7290 7560 7680 7776 7840 7910 7938 8064 8136 8192 8505 8640 8748 8820 8960 9040 9072 9153 9216 9408 9492 9720 10080 10170 10206 10240 10368 10584 10752 10848 10935 11074 11340 11520 11664 11760 11865 11907 12096 12204 12288 12544 12656 12960 13230 13440 13560 13608 13824 14112 14238 14336 14464 14580 15120 15255 15309 15360 15552 15680 15820 15876 16128 16272 16384 16611 17010 17280 17496 17640 17920 18080 18144 18306 18432 18816 18984 19440 19845 20160 20340 20412 20480 20736 21168 21357 21504 21696 21870 22148 22680 23040 23328 23520 23730 23814 24192 24408 24576 25088 25312 25515 25920 26460 26880 27120 27216 27459 27648 27685 28224 28476 28672 28928 29160 30240 30510 30618 30720 31104 31360 31640 31752 32256 32544 32768 33222 34020 34560 34992 35280 35595 35721 35840 36160 36288 36612 36864 37632 37968 38880 39690 40320 40680 40824 40960 41472 42336 42714 43008 43392 43740 44296 45360 45765 46080 46656 47040 47460 47628 48384 48816 49152 49833 50176 50624 51030 51840 52920 53760 54240 54432 54918 55296 55370 56448 56952 57344 57856 58320 59535 60480 61020 61236 61440 62208 62720 63280 63504 64071 64512 65088 65536 66444 68040 69120 69984 70560 71190 71442 71680 72320 72576 73224 73728 75264 75936 76545 77760 79380 80640 81360 81648 81920 82377 82944 83055 84672 85428 86016 86784 87480 88592 90720 91530 92160 93312 94080 94920 95256 96768 97632 98304 99666 100352 101248 102060 103680 105840 106785 107163 107520 108480 108864 109836 110592 110740 112896 113904 114688 115712 116640 119070 120960 122040 122472 122880 124416 125440 126560 127008 128142 129024 130176 132888 136080 137295 138240 139968 141120 142380 142884 143360 144640 145152 146448 147456 149499 150528 151872 153090 155520 158760 161280 162720 163296 163840 164754 165888 166110 169344 170856 172032 173568 174960 177184 178605 181440 183060 184320 186624 188160 189840 190512 192213 193536 195264 196608 199332 200704 202496 204120 207360 211680 213570 214326 215040 216960 217728 219672 221184 221480 225792 227808 229376 231424 233280 238140 241920 244080 244944 245760 247131 248832 249165 250880 253120 254016 256284 258048 260352 265776 272160 274590 276480 279936 282240 284760 285768 286720 289280 290304 292896 294912 298998 301056 303744 306180 311040 317520 320355 322560 325440 326592 327680 329508 331776 332220 338688 341712 344064 347136 349920 354368 357210 362880 366120 368640 373248 376320 379680 381024 384426 387072 390528 398664 401408 404992 408240 411885 414720 423360 427140 428652 430080 433920 435456 439344 442368 442960 448497 451584 455616 458752 462848 466560 476280 483840 488160 489888 491520 494262 497664 498330 501760 506240 508032 512568 516096 520704 531552 535815 544320 549180 552960 559872 564480 569520 571536 573440 576639 578560 580608 585792 589824 597996 602112 607488 612360 622080 635040 640710 645120 650880 653184 659016 663552 664440 677376 683424 688128 694272 699840 708736 714420 725760 732240 737280 746496 747495 752640 759360 762048 768852 774144 781056 797328 802816 809984 816480 823770 829440 846720 854280 857304 860160 867840 870912 878688 884736 885920 896994 903168 911232 925696 933120 952560 961065 967680 976320 979776 983040 988524 995328 996660 1003520 1012480 1016064 1025136 1032192 1041408 1063104 1071630 1088640 1098360 1105920 1119744 1128960 1139040 1143072 1146880 1153278 1157120 1161216 1171584 1195992 1204224 1214976 1224720 1235655 1244160 1270080 1281420 1290240 1301760 1306368 1318032 1327104 1328880 1345491 1354752 1366848 1376256 1388544 1399680 1417472 1428840 1451520 1464480 1474560 1492992 1494990 1505280 1518720 1524096 1537704 1548288 1562112 1594656 1605632 1619968 1632960 1647540 1658880 1693440 1708560 1714608 1720320 1729917 1735680 1741824 1757376 1769472 1771840 1793988 1806336 1822464 1851392 1866240 1905120 1922130 1935360 1952640 1959552 1977048 1990656 1993320 2007040 2024960 2032128 2050272 2064384 2082816 2126208 2143260 2177280 2196720 2211840 2239488 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6531840 6590160 6635520 6727455 6773760 6834240 6858432 6881280 6919668 6942720 6967296 7029504 7087360 7175952 7225344 7289856 7405568 7464960 7620480 7688520 7741440 7810560 7838208 7908192 7962624 7973280 8028160 8072946 8099840 8128512 8201088 8331264 8504832 8573040 8649585 8709120 8786880 8847360 8957952 8969940 9031680 9112320 9144576 9226224 9256960 9289728 9372672 9567936 9633792 9719808 9797760 9885240 9953280 10160640 10251360 10321920 10414080 10450944 10544256 10631040 10763928 10838016 10934784 11108352 11197440 11339776 11430720 11532780 11612160 11715840 11943936 11959920 12042240 12109419 12149760 12192768 12301632 12386304 12496896 12757248 12959744 13063680 13180320 13271040 13454910 13547520 13668480 13716864 13839336 13885440 13934592 14059008 14174720 14351904 14450688 14579712 14929920 15240960 15377040 15482880 15621120 15676416 15816384 15925248 15946560 16056320 16145892 16199680 16257024 16402176 16662528 17009664 17146080 17299170 17418240 17573760 17915904 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49987584 51028992 51838976 52254720 52721280 53819640 54190080 54673920 54867456 55357344 55541760 55738368 56236032 56698880 57407616 58318848 59719680 60547095 60963840 61508160 61931520 62484480 62705664 63265536 63786240 64583568 64798720 65028096 65608704 66650112 68038656 68584320 69196680 69672960 70295040 71663616 71759520 72253440 72898560 73156608 73809792 74981376 76543488 77758464 78382080 79081920 79626240 80729460 81285120 82010880 83312640 83607552 84354048 85048320 86111424 86704128 87478272 89579520 90718208 91445760 92262240 92897280 93726720 95679360 96875352 97198080 97542144 98413056 99975168 102057984 104509440 105442560 107639280 108380160 109347840 109734912 110714688 111083520 111476736 112472064 113397760 114815232 116637696 119439360 121094190 121927680 123016320 124968960 125411328 126531072 127572480 129167136 129597440 130056192 131217408 136077312 137168640 138393360 139345920 140590080 143327232 143519040 144506880 145797120 146313216 147619584 149962752 153086976 155516928 156764160 158163840 161458920 162570240 164021760 166625280 167215104 168708096 170096640 172222848 174956544 179159040 181436416 182891520 184524480 185794560 187453440 191358720 193750704 194396160 195084288 196826112 199950336 204115968 209018880 210885120 215278560 216760320 218695680 219469824 221429376 224944128 226795520 229630464 233275392 238878720 242188380 243855360 246032640 249937920 250822656 253062144 255144960 258334272 259194880 260112384 262434816 272154624 274337280 276786720 278691840 281180160 287038080 291594240 292626432 295239168 299925504 306173952 313528320 316327680 322917840 325140480 328043520 333250560 334430208 337416192 340193280 344445696 349913088 358318080 362872832 365783040 369048960 374906880 382717440 387501408 388792320 390168576 393652224 408231936 418037760 421770240 430557120 433520640 437391360 438939648 442858752 449888256 453591040 459260928 466550784 484376760 487710720 492065280 499875840 501645312 506124288 510289920 516668544 524869632 544309248 548674560 553573440 557383680 562360320 574076160 583188480 585252864 590478336 599851008 612347904 627056640 632655360 645835680 650280960 656087040 674832384 680386560 688891392 699826176 716636160 731566080 738097920 749813760 765434880 775002816 777584640 780337152 787304448 816463872 836075520 843540480 861114240 874782720 877879296 885717504 899776512 907182080 918521856 968753520 975421440 984130560 999751680 1003290624 1012248576 1020579840 1033337088 1049739264 1088618496 1097349120 1107146880 1124720640 1148152320 1166376960 1170505728 1180956672 1224695808 1254113280 1265310720 1291671360 1300561920 1312174080 1349664768 1360773120 1377782784 1399652352 1463132160 1476195840 1499627520 1530869760 1550005632 1574608896 1632927744 1672151040 1687080960 1722228480 1749565440 1755758592 1771435008 1799553024 1814364160 1837043712 1937507040 1950842880 1968261120 2024497152 2041159680 2066674176 2099478528 2194698240 2214293760 2249441280 2296304640 2332753920 2341011456 2361913344 2449391616 2508226560 2530621440 2583342720 2624348160 2699329536 2721546240 2755565568 2926264320 2952391680 2999255040 3061739520 3100011264 3149217792 3265855488 3374161920 3444456960 3499130880 3511517184 3542870016 3674087424 3875014080 3901685760 3936522240 4048994304 4082319360 4133348352 4198957056 4389396480 4428587520 4498882560 4592609280 4723826688 4898783232 5016453120 5061242880 5166685440 5248696320 5398659072 5443092480 5511131136 5852528640 5904783360 6123479040 6200022528 6298435584 6748323840 6888913920 6998261760 7023034368 7085740032 7348174848 7750028160 7873044480 8097988608 8164638720 8266696704 8778792960 8857175040 8997765120 9185218560 9447653376 9797566464 10122485760 10333370880 10497392640 11022262272 11705057280 11809566720 12246958080 12400045056 12596871168 13496647680 13777827840 14171480064 14696349696 15500056320 15746088960 16195977216 16329277440 16533393408 17557585920 17714350080 18370437120 18895306752 20244971520 20666741760 20994785280 22044524544 23619133440 24493916160 24800090112 26993295360 27555655680 28342960128 29392699392 31000112640 31492177920 33066786816 35115171840 35428700160 36740874240 37790613504 40489943040 41333483520 44089049088 47238266880 48987832320 49600180224 55111311360 56685920256 62000225280 62984355840 66133573632 70857400320 73481748480 80979886080 82666967040 88178098176 94476533760 99200360448 110222622720 113371840512 124000450560 132267147264 141714800640 146963496960 165333934080 188953067520 198400720896 220445245440 248000901120 264534294528 283429601280 330667868160 396801441792 440890490880 496001802240 566859202560 661335736320 793602883584 992003604480 1322671472640 1984007208960 3968014417920
• Sum of all divisors σ(n): 16761443365440
• Sum of proper divisors (its aliquot sum) s(n): 12793428947520
• 3968014417920 is an abundant number, because the sum of its proper divisors (12793428947520) is greater than itself. Its abundance is 8825414529600

Bases of 3968014417920

• Binary: 111001101111100000000101110000000000000000₂
• Hexadecimal: 0x39BE0170000
• Base-36: 1EMVPC000

Squares and roots of 3968014417920

• 3968014417920 squared (3968014417920²) is 15745138420820996417126400
• 3968014417920 cubed (3968014417920³) is 62476936265963854106618217615065088000
• The square root of 3968014417920 is 1991987.5546599181
• The cube root of 3968014417920 is 15831.5856136193

Scales and comparisons

• 3,968,014,417,920 seconds is equal to 126,170 years, 30 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 3,968,014,417,920 would take you about three hundred fifteen thousand, four hundred twenty-six 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 3968014417920 cubic inches would be around 1319.3 feet tall.

Recreational maths with 3968014417920

• 3968014417920 backwards is 0297144108693
• 3968014417920 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3968014417920's digits is 54
• More coming soon!