968011265005120

Names of 968011265005120

• Cardinal: 968011265005120 can be written as Nine hundred sixty-eight trillion, eleven billion, two hundred sixty-five million, five thousand, one hundred twenty.

Scientific notation

• Scientific notation: 9.6801126500512 × 10¹⁴

Factors of 968011265005120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 123

Divisors of 968011265005120

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 29 32 35 37 40 43 49 56 58 64 70 74 80 86 98 112 116 140 145 148 160 172 185 196 203 215 224 232 245 259 280 290 296 301 320 344 370 392 406 430 448 464 490 518 560 580 592 602 688 740 784 812 841 860 928 980 1015 1036 1073 1120 1160 1184 1204 1247 1295 1369 1376 1421 1480 1505 1568 1591 1624 1682 1720 1813 1849 1856 1960 2030 2072 2107 2146 2240 2320 2368 2408 2494 2590 2738 2752 2842 2960 3010 3136 3182 3248 3364 3440 3626 3698 3920 4060 4144 4205 4214 4292 4640 4816 4988 5180 5365 5476 5684 5887 5920 6020 6235 6364 6496 6728 6845 6880 7105 7252 7396 7511 7840 7955 8120 8288 8410 8428 8584 8729 9065 9245 9280 9583 9632 9976 10360 10535 10730 10952 11137 11368 11774 11840 12040 12470 12728 12943 12992 13456 13690 13760 14210 14504 14792 15022 15680 15910 16240 16576 16820 16856 17168 17458 18130 18490 19166 19264 19952 20720 21070 21460 21904 22274 22736 23548 24080 24389 24940 25456 25886 26912 27380 28420 29008 29435 29584 30044 31117 31820 32480 33640 33712 34336 34916 36163 36260 36980 37555 38332 39701 39904 41209 41440 42140 42920 43645 43808 44548 45472 46139 47096 47915 48160 48778 49880 50912 51772 52577 53621 53824 54760 55685 56840 58016 58867 58870 59168 60088 61103 62234 63640 64715 64960 67081 67280 67424 68413 68672 69832 72326 72520 73960 75110 76664 77959 79402 79808 82418 82880 84280 85840 87290 87616 89096 90601 90944 92278 94192 95830 96320 97556 99760 101824 103544 105154 107242 109520 111370 113680 116032 117734 117740 118336 120176 121945 122206 124468 127280 129430 134162 134560 134848 136826 139664 144652 145040 147920 150220 153328 155585 155918 158804 164836 168560 170723 171680 174580 178192 180815 181202 184556 188384 191660 195112 198505 199520 206045 207088 210308 214484 217819 219040 222740 227360 230695 235468 235480 240352 243890 244412 248936 253141 254560 258860 262885 268105 268324 269120 273652 277907 279328 289304 290080 294335 295840 300440 305515 306656 311170 311836 317608 322973 329672 335405 337120 341446 342065 343360 349160 356384 361630 362404 369112 375347 376768 383320 389795 390224 397010 399040 412069 412090 414176 420616 428968 435638 438080 445480 453005 454720 461390 470936 470960 478891 480704 487780 488824 497872 506282 509120 517720 525770 536210 536648 547304 555814 558656 578608 580160 588670 591680 600880 611030 613312 622340 623672 635216 645946 659344 670810 674240 682892 684130 698320 712768 723260 724808 738224 750694 766640 779590 780448 794020 824138 824180 828352 841232 853615 857936 871276 890960 902393 906010 922780 941872 941920 957782 975560 977648 995744 1012564 1035440 1048727 1051540 1072420 1073296 1089095 1094608 1111628 1151329 1157216 1177340 1195061 1201760 1222060 1244680 1247344 1265705 1270432 1291892 1318688 1338031 1341620 1365784 1368260 1389535 1396640 1446520 1449616 1476448 1501388 1524733 1533280 1555009 1559180 1560896 1588040 1614865 1648276 1648360 1682464 1707143 1707230 1715872 1742552 1771987 1781920 1804786 1812020 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9348791480 9506710255 9703400812 9922621520 10049950841 10101338464 10277000860 10490163040 10644036605 10684333120 10864811720 11048338945 11089600928 11276925268 11485658104 11679672599 11745143840 12129251015 12191270560 12416927680 12626673080 12887914592 13088308072 13348197256 13384001120 13862001160 14096156585 14149522240 14357072630 14387801204 14430483520 14901651247 14958066368 15210736408 15554379680 15842287040 16109893240 16360385090 16443201376 16444039360 16685246570 17030458568 17383698752 17677342312 17984751505 18052838720 18411306560 18697582960 19013420510 19406801624 19845243040 20099901682 20202676928 20554001720 20980326080 21288073210 21729623440 22096677890 22179201856 22553850536 22971316208 23359345198 23490287680 24258502030 24382541120 25253346160 25775829184 26176616144 26696394512 26768002240 27724002320 28192313170 28714145260 28775602408 29803302494 30421472816 31108759360 32219786480 32720770180 32886402752 33370493140 34060917136 35354684624 35969503010 37395165920 38026841020 38813603248 39690486080 40199803364 41108003440 42576146420 43459246880 44193355780 45107701072 45942632416 46718690396 48517004060 50249754205 50506692320 52353232288 53392789024 55448004640 56384626340 57428290520 57551204816 58398362995 59606604988 60842945632 61735412309 64439572960 65441540360 66740986280 68121834272 70349655887 70709369248 71939006020 74508256235 74790331840 76053682040 77627206496 80399606728 81757708193 82216006880 85152292840 86918493760 88386711560 90215402144 91885264832 93437380792 97034008120 100499508410 101013384640 104311558729 104706464576 106785578048 110896009280 112769252680 114856581040 115102409632 116796725990 119213209976 121685891264 123470824618 128879145920 130883080720 133481972560 136243668544 140699311774 141418738496 143878012040 149016512470 152107364080 155254412992 160799213456 163515416386 164432013760 170304585680 176773423120 180430804288 186874761584 194068016240 200999016820 208623117458 225538505360 229713162080 230204819264 233593451980 238426419952 246941649236 261766161440 266963945120 281398623548 287756024080 298033024940 304214728160 308677061545 321598426912 327030832772 340609171360 351748279435 353546846240 373749523168 388136032480 401998033640 408788540965 417246234916 432147886163 451077010720 459426324160 467186903960 476852839904 493883298472 521557793645 523532322880 533927890240 562797247096 575512048160 596066049880 608429456320 617354123090 643196853824 654061665544 681218342720 703496558870 707093692480 747499046336 776272064960 803996067280 817577081930 834492469832 864295772326 902154021440 934373807920 953705679808 987766596944 1043115587290 1125594494192 1151024096320 1192132099760 1234708246180 1308123331088 1406993117740 1607992134560 1635154163860 1668984939664 1728591544652 1868747615840 1975533193888 2086231174580 2160739430815 2251188988384 2384264199520 2469416492360 2616246662176 2813986235480 3025035203141 3215984269120 3270308327720 3337969879328 3457183089304 3737495231680 3951066387776 4172462349160 4321478861630 4502377976768 4768528399040 4938832984720 5232493324352 5627972470960 6050070406282 6540616655440 6675939758656 6914366178608 8344924698320 8642957723260 9877665969440 11255944941920 12100140812564 13081233310880 13828732357216 15125176015705 16689849396640 17285915446520 19755331938880 22511889883840 24200281625128 26162466621760 27657464714432 30250352031410 33379698793280 34571830893040 48400563250256 60500704062820 69143661786080 96801126500512 121001408125640 138287323572160 193602253001024 242002816251280 484005632502560 968011265005120
• Sum of all divisors σ(n): 2922186194340840
• Sum of proper divisors (its aliquot sum) s(n): 1954174929335720
• 968011265005120 is an abundant number, because the sum of its proper divisors (1954174929335720) is greater than itself. Its abundance is 986163664330600

Bases of 968011265005120

• Binary: 11011100000110011010101111100101101101011001000000₂
• Hexadecimal: 0x37066AF96D640
• Base-36: 9J4Q8HVGHS

Squares and roots of 968011265005120

• 968011265005120 squared (968011265005120²) is 937045809176812660353626214400
• 968011265005120 cubed (968011265005120³) is 907070899108992706559914339959515782217728000
• The square root of 968011265005120 is 31112879.4071702723
• The cube root of 968011265005120 is 98922.1325942043

Scales and comparisons

• 968,011,265,005,120 seconds is equal to 30,779,763 years, 50 weeks, 3 days, 16 hours, 58 minutes, 40 seconds.
• To count from 1 to 968,011,265,005,120 would take you about seventy-six million, nine hundred forty-nine thousand, four hundred nine 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 968011265005120 cubic inches would be around 8243.5 feet tall.

Recreational maths with 968011265005120

• 968011265005120 backwards is 021500562110869
• The number of decimal digits it has is: 15
• The sum of 968011265005120's digits is 46
• More coming soon!