990765138568128
990,765,138,568,128 is an even composite number composed of eight prime numbers multiplied together.
What does the number 990765138568128 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
990765138568128 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 990765138568128:
26 × 3 × 72 × 11 × 23 × 53 × 193 × 40693
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 23 × 53 × 193 × 40693)See below for interesting mathematical facts about the number 990765138568128 from the Numbermatics database.
Names of 990765138568128
- Cardinal: 990765138568128 can be written as Nine hundred ninety trillion, seven hundred sixty-five billion, one hundred thirty-eight million, five hundred sixty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.90765138568128 × 1014
Factors of 990765138568128
Divisors of 990765138568128
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 32 33 42 44 46 48 49 53 56 64 66 69 77 84 88 92 96 98 106 112 132 138 147 154 159 161 168 176 184 192 193 196 212 224 231 253 264 276 294 308 318 322 336 352 368 371 386 392 424 448 462 483 506 528 539 552 579 583 588 616 636 644 672 704 736 742 759 772 784 848 924 966 1012 1056 1078 1104 1113 1127 1158 1166 1176 1219 1232 1272 1288 1344 1351 1472 1484 1518 1544 1568 1617 1696 1749 1771 1848 1932 2024 2112 2123 2156 2208 2226 2254 2316 2332 2352 2438 2464 2544 2576 2597 2702 2968 3036 3088 3136 3234 3381 3392 3498 3542 3657 3696 3864 4048 4053 4081 4246 4312 4416 4439 4452 4508 4632 4664 4704 4876 4928 5088 5152 5194 5313 5404 5936 6072 6176 6369 6468 6762 6996 7084 7314 7392 7728 7791 8096 8106 8162 8492 8533 8624 8878 8904 9016 9264 9328 9408 9457 9752 10176 10229 10304 10388 10626 10808 11872 12144 12243 12352 12397 12738 12936 13317 13409 13524 13992 14168 14628 14784 14861 15456 15582 16192 16212 16324 16984 17066 17248 17756 17808 18032 18528 18656 18914 19504 20458 20776 21252 21616 23744 24288 24486 24794 25476 25599 25872 26634 26818 27048 27984 28336 28371 28567 29256 29722 30687 30912 31073 31164 32424 32648 33968 34132 34496 35512 35616 36064 37056 37191 37312 37828 39008 40227 40693 40916 41552 42504 43232 44583 48576 48829 48972 49588 50952 51198 51744 53268 53636 54096 55968 56672 56742 57134 58512 59444 59731 61374 62146 62328 64848 65296 67936 68264 71024 71232 71603 72128 74382 75656 78016 80454 81386 81832 83104 85008 85701 86464 89166 93219 93863 97658 97944 99176 101904 102396 103488 104027 106536 107272 108192 111936 112519 113344 113484 114268 117024 118888 119462 122079 122748 124292 124656 129696 130592 135872 136528 142048 143206 146487 148764 151312 160908 162772 163664 166208 170016 171402 178332 179193 186438 187726 195316 195888 198352 203808 204792 208054 213072 214544 214809 216384 217511 225038 226968 228536 234048 235267 237776 238924 244158 245496 248584 249312 259392 261184 273056 281589 284096 284851 286412 292974 297528 302624 312081 321816 325544 327328 337557 340032 341803 342804 356664 358386 372876 375452 390632 391776 396704 407616 409584 416108 426144 429088 429618 435022 447623 450076 453936 457072 470534 475552 477848 488316 490992 497168 498624 501221 546112 563178 569702 572824 585948 595056 605248 624162 643632 651088 652533 654656 657041 675114 683606 685608 705801 713328 716772 745752 750904 781264 783552 787633 793408 819168 832216 852288 854553 858176 859236 870044 895246 900152 907872 914144 935939 941068 951104 955696 976632 981984 994336 1002442 1025409 1126356 1139404 1145648 1171896 1190112 1248324 1287264 1302176 1305066 1314082 1342869 1350228 1367212 1371216 1411602 1426656 1433544 1491504 1501808 1503663 1562528 1575266 1638336 1646869 1664432 1709106 1718472 1740088 1790492 1800304 1815744 1828288 1871878 1882136 1911392 1953264 1963968 1971123 1988672 1993957 2004884 2050818 2156729 2252712 2278808 2291296 2343792 2362899 2380224 2392621 2496648 2574528 2587937 2604352 2610132 2628164 2685738 2700456 2734424 2742432 2807817 2823204 2853312 2867088 2983008 3003616 3007326 3125056 3133361 3150532 3293738 3328864 3418212 3436944 3480176 3580984 3600608 3743756 3764272 3822784 3906528 3942246 3987914 4009768 4101636 4313458 4505424 4557616 4582592 4687584 4725798 4785242 4940607 4993296 5175874 5220264 5256328 5371476 5400912 5468848 5484864 5513431 5615634 5646408 5734176 5966016 5981871 6007232 6014652 6266722 6301064 6470187 6551573 6587476 6657728 6836424 6873888 6960352 7161968 7177863 7201216 7487512 7528544 7763811 7813056 7853749 7884492 7975828 8019536 8203272 8626916 9010848 9115232 9375168 9400083 9451596 9570484 9881214 9986592 10295329 10351748 10440528 10512656 10742952 10801824 10937696 11026862 11231268 11292816 11468352 11528083 11963742 12029304 12533444 12602128 12940374 13103146 13174952 13672848 13747776 13920704 14323936 14355726 14975024 15057088 15097103 15527622 15707498 15768984 15951656 16039072 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9299815448 9524115264 9573720031 9675818768 9722534332 9989968728 10115628712 10145253216 10555438656 10628360512 11111467808 11458701177 11560718528 11654963516 11921990982 12107306904 12173655648 12314678432 12699512133 13095658488 13319958304 13736207001 13836922176 13908989479 13949723172 14513728152 14583801498 15173443068 15278268236 15895987976 15942540768 16143075872 16587117888 16667201712 16932682844 17341077792 17460877984 17482445274 17702350246 18314942668 18472017648 18599630896 19147440062 19351637536 19445068664 19979937456 20231257424 20290506432 20396186153 22222935616 22917402354 23309927032 23843981964 24214613808 24347311296 24629356864 25399024266 26191316976 26553525369 26639916608 26736969413 27472414002 27817978958 27899446344 28721160093 29027456304 29167602996 30346886136 30556536472 31791975952 31885081536 32051149669 32286151744 33334403424 33865365688 34682155584 34921755968 34964890548 35404700492 36629885336 36944035296 37199261792 38294880124 38703275072 38890137328 39959874912 40462514848 40792372306 41726968437 45834804708 46619854064 47687963928 48429227616 50798048532 52382633952 53107050738 53473938826 54944828004 55635957916 55798892688 57442320186 58054912608 58335205992 60693772272 61113072944 61188558459 63583951904 64102299338 66668806848 67016040217 67730731376 69929781096 70809400984 73259770672 73888070592 74398523584 76589760248 77780274656 79919749824 80210908239 80925029696 81584744612 83453936874 91669609416 93239708128 95375927856 96153449007 96858455232 97362926353 101596097064 104765267904 105310920341 106214101476 106947877652 109889656008 111271915832 111597785376 114884640372 116109825216 116670411984 121387544544 122226145888 122377116918 127167903808 128204598676 134032080434 135461462752 139859562192 141618801968 146519541344 153179520496 155560549312 160421816478 163169489224 166907873748 183339218832 186479416256 190751855712 192306898014 194725852706 201048120651 203192194128 210621840682 212428202952 213895755304 219779312016 222543831664 223195570752 224358047683 229769280744 233340823968 242775089088 244452291776 244754233836 256409197352 268064160868 270922925504 279719124384 283237603936 292088779059 293039082688 306359040992 315932761023 320843632956 326338978448 333815747496 366678437664 381503711424 384613796028 389451705412 402096241302 406384388256 421243681364 424856405904 427791510608 439558624032 445087663328 448716095366 459538561488 466681647936 469112281519 489508467672 512818394704 536128321736 559438248768 566475207872 584177558118 612718081984 631865522046 641687265912 652677956896 667631494992 673074143049 733356875328 737176442387 769227592056 778903410824 804192482604 812768776512 842487362728 849712811808 855583021216 879117248064 890175326656 897432190732 919077122976 938224563038 979016935344 1025636789408 1072256643472 1168355116236 1263731044092 1283374531824 1305355913792 1335262989984 1346148286098 1407336844557 1474352884774 1538455184112 1557806821648 1608384965208 1684974725456 1699425623616 1711166042432 1794864381464 1838154245952 1876449126076 1958033870688 2051273578816 2144513286944 2211529327161 2336710232472 2527462088184 2566749063648 2670525979968 2692296572196 2814673689114 2948705769548 3076910368224 3115613643296 3216769930416 3369949450912 3589728762928 3752898252152 3916067741376 4289026573888 4423058654322 4673420464944 5054924176368 5133498127296 5160235096709 5384593144392 5629347378228 5897411539096 6153820736448 6231227286592 6433539860832 6739898901824 7179457525856 7505796504304 8846117308644 9346840929888 10109848352736 10320470193418 10769186288784 11258694756456 11794823078192 12867079721664 14358915051712 15011593008608 15480705290127 17692234617288 18693681859776 20219696705472 20640940386836 21538372577568 22517389512912 23589646156384 30023186017216 30961410580254 35384469234576 41281880773672 43076745155136 45034779025824 47179292312768 61922821160508 70768938469152 82563761547344 90069558051648 123845642321016 141537876938304 165127523094688 247691284642032 330255046189376 495382569284064 990765138568128
- Sum of all divisors σ(n): 3555141788408832
- Sum of proper divisors (its aliquot sum) s(n): 2564376649840704
- 990765138568128 is an abundant number, because the sum of its proper divisors (2564376649840704) is greater than itself. Its abundance is 1573611511272576
Bases of 990765138568128
- Binary: 111000010100011000011111000010001111100011110000002
- Hexadecimal: 0x385187C23E3C0
- Base-36: 9R737YPEIO
Squares and roots of 990765138568128
- 990765138568128 squared (9907651385681282) is 981615559801921876966097424384
- 990765138568128 cubed (9907651385681283) is 972550476127781665856680808108253322512433152
-
The
square root of 990765138568128 is 31476421.9467227247 -
The
cube root of 990765138568128 is 99691.2188087301
Scales and comparisons
How big is 990765138568128?- 990,765,138,568,128 seconds is equal to 31,503,266 years, 39 weeks, 6 days, 19 hours, 8 minutes, 48 seconds.
-
To count from 1 to 990,765,138,568,128 would take you about seventy-eight million, seven hundred fifty-eight thousand, one hundred sixty-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 990765138568128 cubic inches would be around 8307.6 feet tall.
Recreational maths with 990765138568128
- 990765138568128 backwards is 821865831567099
- The number of decimal digits it has is: 15
- The sum of 990765138568128's digits is 78
- More coming soon!
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The information we have on file for 990765138568128 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 990765138568128, math, Factors of 990765138568128, curriculum, school, college, exams, university, Prime factorization of 990765138568128, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety trillion, seven hundred sixty-five billion, one hundred thirty-eight million, five hundred sixty-eight thousand, one hundred twenty-eight.