3948343967568

Names of 3948343967568

• Cardinal: 3948343967568 can be written as Three trillion, nine hundred forty-eight billion, three hundred forty-three million, nine hundred sixty-seven thousand, five hundred sixty-eight.

Scientific notation

• Scientific notation: 3.948343967568 × 10¹²

Factors of 3948343967568

• Number of distinct prime factors ω(n): 9
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 950

Divisors of 3948343967568

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 17 21 22 24 26 28 33 34 39 42 44 48 51 52 56 61 66 68 77 78 84 88 91 102 104 109 112 119 122 132 136 143 154 156 168 176 182 183 187 204 208 218 221 231 238 244 264 272 273 286 308 312 327 336 357 364 366 374 408 427 429 436 442 462 476 488 528 546 561 572 616 624 654 663 671 714 727 728 732 748 763 793 816 854 858 872 884 924 952 976 1001 1037 1092 1122 1144 1199 1232 1281 1308 1309 1326 1342 1417 1428 1454 1456 1464 1496 1526 1547 1586 1708 1716 1744 1768 1848 1853 1904 2002 2013 2074 2181 2184 2244 2288 2289 2379 2398 2431 2562 2616 2618 2652 2684 2834 2856 2908 2928 2992 3003 3052 3094 3111 3172 3416 3432 3536 3597 3696 3706 3927 4004 4026 4148 4251 4362 4368 4488 4578 4641 4697 4758 4796 4862 5089 5124 5232 5236 5304 5368 5551 5559 5668 5712 5816 6006 6104 6188 6222 6344 6649 6832 6864 7194 7259 7293 7412 7854 7997 8008 8052 8296 8393 8502 8723 8724 8976 9156 9282 9394 9451 9516 9592 9724 9919 10178 10248 10472 10608 10736 11102 11118 11336 11407 11632 12012 12208 12359 12376 12444 12688 12971 13298 13481 14091 14388 14518 14586 14824 15267 15587 15708 15994 16016 16104 16592 16653 16786 17004 17017 17446 17448 18312 18564 18788 18902 19032 19184 19448 19838 19947 20356 20383 20496 20944 21777 22204 22236 22672 22814 23991 24024 24089 24718 24752 24888 25179 25942 26169 26596 26962 28182 28353 28776 29036 29172 29648 29757 30534 31174 31416 31988 32208 33306 33572 34008 34034 34221 34892 34896 36624 37077 37128 37576 37804 38064 38896 38913 39676 39894 40443 40712 40766 43554 44347 44408 44472 45628 46543 46761 47982 48048 48178 49436 49776 50358 51051 51884 52338 53192 53924 55979 56364 56706 57552 58072 58344 59514 61061 61068 61149 62348 62832 63976 66157 66612 67144 68016 68068 68442 69784 72267 73139 74154 74256 75152 75608 77826 79243 79352 79788 79849 80886 81424 81532 86437 86513 87108 88694 88816 88944 91256 93086 93522 94367 95964 96356 98872 100716 102102 103768 103961 104676 106384 107848 109109 111958 112728 113033 113412 116144 116688 119028 122122 122136 122298 124696 127952 132314 133041 133224 134288 135949 136136 136884 139568 139629 142681 144534 146278 148291 148308 151216 155652 158486 158704 159576 159698 160667 161772 163064 167937 168623 172874 173026 174216 177388 182512 183183 186172 187044 188734 191928 192712 197744 198471 201432 204204 207536 207922 209352 215696 218218 219417 223916 225456 226066 226824 237729 238056 239547 244244 244272 244596 249392 259311 259539 264628 264979 266082 266448 271898 272272 273768 279258 283101 285362 289068 292556 296582 296616 310429 311304 311883 316972 319152 319396 321334 323544 326128 327327 335874 337246 339099 345748 346052 348432 354776 366366 372344 374088 377468 383856 385424 396942 402864 407847 408408 415844 418704 428043 436436 438834 444873 447832 452132 453648 475458 476112 479094 482001 487817 488488 489192 505869 511973 518622 519078 529256 529958 532164 543796 547536 554701 558516 566202 570724 576511 578136 585112 593164 593232 605059 620858 622608 623766 633944 638792 642668 647088 654654 671748 674492 678198 691496 692104 709552 727727 732732 744688 748176 753899 754936 791231 793884 794937 815694 816816 831688 856086 871673 872872 877668 889746 895664 904264 931287 950807 950916 951643 958188 964002 975634 976976 978384 1011738 1023946 1030159 1037244 1038037 1038156 1058512 1059916 1064328 1087592 1109402 1117032 1124669 1132404 1141448 1153022 1156272 1170224 1186328 1210118 1241716 1243363 1247532 1267888 1277584 1285336 1309308 1343496 1347131 1348984 1356396 1382992 1384208 1455454 1463451 1465464 1469429 1507798 1509872 1535919 1582462 1587768 1589874 1631388 1663376 1664103 1712172 1729533 1743346 1745744 1755336 1767337 1779492 1808528 1815177 1854853 1862574 1901614 1901832 1903286 1916376 1928004 1951268 2023476 2047892 2060318 2074488 2076074 2076312 2119832 2128656 2175184 2183181 2218804 2234064 2249338 2261697 2264808 2282896 2306044 2372656 2373693 2420236 2483432 2486726 2495064 2570672 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10604022 10777048 11129118 11331749 11409684 11419716 11643632 11707608 11755432 12062384 12106731 12203422 12287352 12361908 12371359 12456444 12659696 12683242 12718992 13311298 13312824 13496028 13658876 13836264 13946768 14138696 14422226 14501469 14521416 14818441 14838824 14900592 14920356 15212912 15226288 15831879 16142308 16163719 16165572 16482544 16585778 16608592 17407082 17465448 17512703 17633148 17994704 18093576 18305133 18859834 18989544 19024863 19335292 19601374 19893808 19966947 20488314 20572006 20920152 21109172 21208044 21554096 21633339 22258236 22663498 22819368 22839432 23415216 23510864 24213462 24406844 24574704 24723816 24742718 24878667 24912888 25366484 26110623 26622596 26625648 26992056 27317752 27672528 28277392 28289751 28844452 29002938 29042832 29402061 29636882 29677648 29840712 30858009 31663758 32284616 32327438 32331144 33171556 33836761 33995247 34814164 34930896 35025406 35266296 36187152 36610266 37114077 37719668 37979088 38049726 38670584 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164349982 164576048 173066712 174150669 177565388 177821292 181307984 188519097 192639733 193707696 193964628 197941744 199029336 203020566 205814427 207458174 208884984 210152436 212688212 215615114 226292066 226318008 232023504 232200892 235216488 237095056 237966729 245177842 246524973 246864072 251358796 253310064 258619504 266348082 270694088 271961976 274419236 280203248 292882128 296912616 304397808 311187261 317288972 319032318 319471152 323422671 328699964 339438099 346133424 348301338 355130776 355642584 367766763 372204371 377038194 385279466 387929256 398058672 406041132 411628854 414916348 417769968 420304872 425376424 431230228 439877893 452584132 452636016 464401784 470432976 475933458 490355684 493049946 493728144 502717592 532696164 541388176 543923952 548838472 575224937 577919199 593825232 622374522 634577944 638064636 646845342 657399928 678876198 691236689 696602676 710261552 711285168 735533526 744408742 754076388 754652899 770558932 775858512 812082264 823257708 829832696 840609744 850752848 862460456 879755786 903924901 905168264 928803568 951866916 980711368 986099892 1005435184 1065392328 1068274883 1097676944 1116613113 1150449874 1155838398 1244749044 1269155888 1276129272 1293690684 1314799856 1319633679 1348478131 1357752396 1382473378 1393205352 1471067052 1488817484 1508152776 1509305798 1541117864 1624164528 1646515416 1659665392 1724920912 1725674811 1759511572 1807849802 1810336528 1903733832 1961422736 1972199784 2073710067 2130784656 2136549766 2233226226 2263958697 2300899748 2311676796 2489498088 2552258544 2587381368 2639267358 2696956262 2711774703 2715504792 2764946756 2786410704 2942134104 2977634968 3016305552 3018611596 3082235728 3204824649 3293030832 3451349622 3519023144 3615699604 3807467664 3944399568 4045434393 4147420134 4273099532 4466452452 4527917394 4601799496 4623353592 4838656823 4978996176 5174762736 5278534716 5393912524 5423549406 5431009584 5529893512 5884268208 5955269936 6037223192 6327474307 6409649298 6902699244 7038046288 7231399208 7477924181 8090868786 8294840268 8546199064 8932904904 9055834788 9203598992 9246707184 9677313646 10557069432 10787825048 10847098812 11059787024 11751023713 12074446384 12654948614 12819298596 13805398488 14462798416 14515970469 14955848362 16181737572 16589680536 17092398128 17865809808 18111669576 18982422921 19354627292 21114138864 21575650096 21694197624 22433772543 23502047426 25309897228 25638597192 27610796976 29031940938 29911696724 32363475144 33179361072 35253071139 36223339152 37964845842 38709254584 43388395248 44867545086 47004094852 50619794456 51277194384 58063881876 59823393448 64726950288 70506142278 75929691684 77418509168 82257165991 89735090172 94008189704 101239588912 116127763752 119646786896 141012284556 151859383368 164514331982 179470180344 188016379408 232255527504 246771497973 282024569112 303718766736 329028663964 358940360688 493542995946 564049138224 658057327928 987085991892 1316114655856 1974171983784 3948343967568
• Sum of all divisors σ(n): 14893926727680
• Sum of proper divisors (its aliquot sum) s(n): 10945582760112
• 3948343967568 is an abundant number, because the sum of its proper divisors (10945582760112) is greater than itself. Its abundance is 6997238792544

Bases of 3948343967568

• Binary: 111001011101001011101000111011111101010000₂
• Hexadecimal: 0x3974BA3BF50
• Base-36: 1EDUE1ZDC

Squares and roots of 3948343967568

• 3948343967568 squared (3948343967568²) is 15589420086230615835834624
• 3948343967568 cubed (3948343967568³) is 61552392755352062415091289874867474432
• The square root of 3948343967568 is 1987044.0275867065
• The cube root of 3948343967568 is 15805.3818758889

Scales and comparisons

• 3,948,343,967,568 seconds is equal to 125,545 years, 6 weeks, 3 days, 13 hours, 12 minutes, 48 seconds.
• To count from 1 to 3,948,343,967,568 would take you about three hundred thirteen thousand, eight hundred sixty-two 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 3948343967568 cubic inches would be around 1317.1 feet tall.

Recreational maths with 3948343967568

• 3948343967568 backwards is 8657693438493
• The number of decimal digits it has is: 13
• The sum of 3948343967568's digits is 75
• More coming soon!