3968398706688

Names of 3968398706688

• Cardinal: 3968398706688 can be written as Three trillion, nine hundred sixty-eight billion, three hundred ninety-eight million, seven hundred six thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 3.968398706688 × 10¹²

Factors of 3968398706688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 114

Divisors of 3968398706688

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 53 64 72 78 86 96 104 106 117 128 129 144 156 159 169 172 192 208 212 234 256 258 288 312 318 338 344 384 387 416 424 468 477 507 512 516 559 576 624 636 676 688 689 768 774 832 848 936 954 1014 1024 1032 1118 1152 1248 1272 1352 1376 1378 1521 1536 1548 1664 1677 1696 1849 1872 1908 2028 2048 2064 2067 2197 2236 2279 2304 2496 2544 2704 2752 2756 3042 3072 3096 3328 3354 3392 3698 3744 3816 4056 4128 4134 4394 4472 4558 4608 4992 5031 5088 5408 5504 5512 5547 6084 6144 6192 6201 6591 6656 6708 6784 6837 7267 7396 7488 7632 8112 8256 8268 8788 8944 8957 9116 9216 9984 10062 10176 10816 11008 11024 11094 12168 12384 12402 13182 13312 13416 13568 13674 14534 14792 14976 15264 16224 16512 16536 16641 17576 17888 17914 18232 18432 19773 19968 20124 20352 20511 21632 21801 22016 22048 22188 24037 24336 24768 24804 26364 26624 26832 26871 27136 27348 29068 29584 29627 29952 30528 32448 33024 33072 33282 35152 35776 35828 36464 39546 39936 40248 40704 41022 43264 43602 44032 44096 44376 48074 48672 49536 49608 52728 53664 53742 54272 54696 58136 59168 59254 59904 61056 64896 65403 66048 66144 66564 70304 71552 71656 72111 72928 79092 79872 80496 80613 81408 82044 86528 87204 88064 88192 88752 88881 94471 96148 97344 97997 99072 99216 105456 107328 107484 108544 109392 116272 116441 118336 118508 119808 122112 129792 130806 132096 132288 133128 140608 143104 143312 144222 145856 158184 160992 161226 162816 164088 173056 174408 176384 177504 177762 188942 192296 194688 195994 198144 198432 210912 214656 214968 216333 218784 232544 232882 236672 237016 239616 244224 259584 261612 264192 264576 266256 266643 281216 283413 286208 286624 288444 291712 293991 312481 316368 321984 322452 325632 328176 346112 348816 349323 352768 355008 355524 377884 384592 385151 389376 391988 396288 396864 421824 429312 429936 432666 437568 465088 465764 473344 474032 488448 519168 523224 529152 532512 533286 562432 566826 572416 573248 576888 583424 587982 624962 632736 643968 644904 656352 697632 698646 705536 710016 711048 755768 769184 770302 778752 783976 792576 793728 843648 850239 858624 859872 865332 875136 881973 930176 931528 937443 946688 948064 976896 1038336 1046448 1047969 1058304 1065024 1066572 1124864 1133652 1144832 1146496 1153776 1155453 1166848 1175964 1249924 1265472 1273961 1287936 1289808 1312704 1395264 1397292 1411072 1420032 1422096 1511536 1538368 1540604 1557504 1567952 1587456 1687296 1700478 1717248 1719744 1730664 1750272 1763946 1860352 1863056 1874886 1893376 1896128 2092896 2095938 2116608 2130048 2133144 2249728 2267304 2292992 2307552 2310906 2333696 2351928 2499848 2530944 2547922 2575872 2579616 2625408 2790528 2794584 2812329 2840064 2844192 3023072 3076736 3081208 3115008 3135904 3174912 3374592 3400956 3434496 3439488 3461328 3466359 3500544 3527892 3720704 3726112 3749772 3786752 3792256 3821883 4062253 4185792 4191876 4233216 4260096 4266288 4499456 4534608 4585984 4615104 4621812 4667392 4703856 4999696 5006963 5061888 5095844 5151744 5159232 5250816 5581056 5589168 5624658 5680128 5688384 6046144 6153472 6162416 6271808 6349824 6749184 6801912 6878976 6922656 6932718 7001088 7055784 7441408 7452224 7499544 7584512 7643766 8124506 8371584 8383752 8520192 8532576 9069216 9171968 9230208 9243624 9407712 9999392 10013926 10123776 10191688 10303488 10318464 10501632 11162112 11178336 11249316 11360256 11376768 11465649 12092288 12186759 12306944 12324832 12543616 12699648 13498368 13603824 13757952 13845312 13865436 14002176 14111568 14882816 14904448 14999088 15020889 15169024 15287532 16249012 16561493 16743168 16767504 17040384 17065152 18138432 18343936 18460416 18487248 18815424 19998784 20027852 20247552 20383376 20636928 21003264 22324224 22356672 22498632 22753536 22931298 24184576 24373518 24613888 24649664 25087232 27207648 27515904 27690624 27730872 28223136 29808896 29998176 30041778 30338048 30575064 32498024 33122986 33486336 33535008 34080768 34130304 36276864 36560277 36920832 36974496 37630848 39997568 40055704 40495104 40766752 41273856 42006528 44648448 44713344 44997264 45062667 45507072 45862596 48369152 48747036 49227776 49299328 49684479 50174464 54415296 55031808 55381248 55461744 56446272 59617792 59996352 60083556 60676096 61150128 64996048 66245972 66972672 67070016 68260608 72553728 73120554 73841664 73948992 75261696 79995136 80111408 81533504 82547712 89426688 89994528 90125334 91014144 91725192 96738304 97494072 98598656 99368958 100348928 108830592 110762496 110923488 112892544 119235584 119992704 120167112 122300256 129992096 132491944 133945344 134140032 136521216 145107456 146241108 147683328 147897984 149053437 150523392 159990272 160222816 163067008 165095424 178853376 179989056 180250668 182028288 183450384 193476608 194988144 197197312 198737916 200697856 215299409 217661184 221524992 221846976 225785088 238471168 239985408 240334224 244600512 259984192 264983888 268280064 273042432 290214912 292482216 295795968 298106874 301046784 319980544 320445632 326134016 357706752 359978112 360501336 366900768 389976288 394394624 397475832 430598818 435322368 443049984 443693952 451570176 479970816 480668448 489201024 519968384 529967776 536560128 546084864 580429824 584964432 591591936 596213748 602093568 639961088 640891264 645898227 652268032 715413504 719956224 721002672 733801536 779952576 788789248 794951664 861197636 870644736 887387904 903140352 959941632 961336896 978402048 1039936768 1059935552 1073120256 1169928864 1183183872 1192427496 1281782528 1291796454 1304536064 1439912448 1442005344 1467603072 1559905152 1589903328 1722395272 1741289472 1774775808 1806280704 1919883264 1922673792 1937694681 1956804096 2079873536 2119871104 2146240512 2339857728 2366367744 2384854992 2563565056 2583592908 2609072128 2879824896 2884010688 2935206144 3119810304 3179806656 3444790544 3549551616 3845347584 3875389362 3913608192 4159747072 4239742208 4679715456 4769709984 5127130112 5167185816 5759649792 5768021376 5870412288 6239620608 6359613312 6889581088 7099103232 7690695168 7750778724 7827216384 8319494144 8479484416 9359430912 9539419968 10254260224 10334371632 11536042752 11740824576 12479241216 12719226624 13779162176 15381390336 15501557448 16958968832 18718861824 19078839936 20668743264 23072085504 23481649152 24958482432 25438453248 27558324352 30762780672 31003114896 33917937664 37437723648 38157679872 41337486528 46144171008 50876906496 55116648704 62006229792 74875447296 76315359744 82674973056 92288342016 101753812992 110233297408 124012459584 152630719488 165349946112 220466594816 248024919168 305261438976 330699892224 440933189632 496049838336 661399784448 992099676672 1322799568896 1984199353344 3968398706688
• Sum of all divisors σ(n): 12951455844600
• Sum of proper divisors (its aliquot sum) s(n): 8983057137912
• 3968398706688 is an abundant number, because the sum of its proper divisors (8983057137912) is greater than itself. Its abundance is 5014658431224

Bases of 3968398706688

• Binary: 111001101111110110111111101100100000000000₂
• Hexadecimal: 0x39BF6FEC800
• Base-36: 1EN224N40

Squares and roots of 3968398706688

• 3968398706688 squared (3968398706688²) is 15748188295242991055929344
• 3968398706688 cubed (3968398706688³) is 62495090063521385209046760203508252672
• The square root of 3968398706688 is 1992084.0109513453
• The cube root of 3968398706688 is 15832.0966756181

Scales and comparisons

• 3,968,398,706,688 seconds is equal to 126,182 years, 41 weeks, 5 days, 14 hours, 4 minutes, 48 seconds.
• To count from 1 to 3,968,398,706,688 would take you about three hundred fifteen thousand, four hundred fifty-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 3968398706688 cubic inches would be around 1319.3 feet tall.

Recreational maths with 3968398706688

• 3968398706688 backwards is 8866078938693
• The number of decimal digits it has is: 13
• The sum of 3968398706688's digits is 81
• More coming soon!