83964811147113120

Names of 83964811147113120

• Cardinal: 83964811147113120 can be written as Eighty-three quadrillion, nine hundred sixty-four trillion, eight hundred eleven billion, one hundred forty-seven million, one hundred thirteen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 8.396481114711312 × 10¹⁶

Factors of 83964811147113120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 389

Divisors of 83964811147113120

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 41 42 48 49 56 60 70 80 82 84 96 98 105 112 120 123 140 147 160 164 168 196 205 210 224 240 245 246 280 287 294 328 331 336 343 392 410 420 480 490 492 560 574 588 615 656 662 672 686 735 784 820 840 861 980 984 993 1029 1120 1148 1176 1230 1312 1324 1372 1435 1470 1568 1640 1655 1680 1715 1722 1960 1968 1986 2009 2058 2296 2317 2352 2401 2460 2648 2744 2870 2940 3280 3310 3360 3430 3444 3920 3936 3972 4018 4116 4305 4592 4634 4704 4802 4920 4965 5145 5296 5488 5740 5880 6027 6560 6620 6860 6888 6951 7203 7840 7944 8036 8232 8610 9184 9268 9604 9840 9930 10045 10290 10592 10976 11480 11585 11760 12005 12054 13240 13571 13720 13776 13902 14063 14406 15888 16072 16219 16464 16807 17220 18536 19208 19680 19860 20090 20580 22960 23170 23520 24010 24108 26480 27142 27440 27552 27804 28126 28812 30135 31776 32144 32438 32928 33614 34440 34755 36015 37072 38416 39720 40180 40713 41160 42189 45920 46340 48020 48216 48657 50421 52960 54284 54880 55608 56252 57624 60270 64288 64876 67228 67855 68880 69510 70315 72030 74144 76832 79440 80360 81095 81426 82320 84035 84378 92680 94997 96040 96432 97314 98441 100842 108568 109561 111216 112504 113533 115248 117649 120540 129752 134456 135710 137760 139020 140630 144060 158880 160720 162190 162852 164640 168070 168756 185360 189994 192080 192864 194628 196882 201684 203565 210945 217136 219122 222432 225008 227066 230496 235298 241080 243285 252105 259504 268912 271420 278040 281260 284991 288120 295323 321440 324380 325704 328683 336140 337512 340599 352947 370720 379988 384160 389256 393764 403368 407130 421890 434272 438244 450016 454132 470596 474985 482160 486570 492205 504210 519008 537824 542840 547805 556080 562520 567665 569982 576240 588245 590646 648760 651408 657366 664979 672280 675024 681198 689087 705894 759976 766927 778512 787528 794731 806736 814260 843780 876488 908264 941192 949970 964320 973140 984410 1008420 1085680 1095610 1112160 1125040 1135330 1139964 1152480 1176490 1181292 1297520 1302816 1314732 1329958 1344560 1350048 1362396 1378174 1411788 1424955 1476615 1519952 1533854 1557024 1575056 1589462 1613472 1628520 1643415 1687560 1702995 1752976 1764735 1816528 1882384 1899940 1946280 1968820 1994937 2016840 2067261 2171360 2191220 2250080 2270660 2279928 2300781 2352980 2362584 2384193 2595040 2629464 2659916 2689120 2724792 2756348 2823576 2849910 2953230 3039904 3067708 3150112 3178924 3257040 3286830 3324895 3375120 3405990 3445435 3505952 3529470 3633056 3764768 3799880 3834635 3892560 3937640 3973655 3989874 4033680 4134522 4382440 4492001 4541320 4559856 4601562 4654853 4705960 4725168 4768386 4823609 5258928 5319832 5368489 5449584 5512696 5563117 5647152 5699820 5906460 6135416 6357848 6514080 6573660 6649790 6750240 6811980 6890870 7058940 7599760 7669270 7785120 7875280 7947310 7979748 8067360 8269044 8764880 8984002 9082640 9119712 9203124 9309706 9411920 9450336 9536772 9647218 9974685 10336305 10517856 10639664 10736978 10899168 11025392 11126234 11294304 11399640 11503905 11812920 11920965 12270832 12715696 13147320 13299580 13476003 13623960 13781740 13964559 14117880 14470827 15199520 15338540 15750560 15894620 15959496 16105467 16538088 16689351 17529760 17968004 18165280 18406248 18619412 18823840 19073544 19294436 19949370 20672610 21279328 21473956 22050784 22252468 22460005 22799280 23007810 23274265 23625840 23841930 24118045 24541664 25431392 26294640 26599160 26842445 26952006 27247920 27563480 27815585 27929118 28235760 28941654 30677080 31444007 31789240 31918992 32210934 32583971 33076176 33378702 35936008 36264691 36812496 37238824 37579423 38147088 38588872 38941819 39898740 41345220 42947912 44504936 44920010 45598560 46015620 46548530 47251680 47683860 48236090 52589280 53198320 53684890 53904012 54495840 55126960 55631170 55858236 56471520 57883308 61354160 62888014 63578480 63837984 64421868 65167942 66152352 66757404 67380015 69822795 71872016 72354135 72529382 73624992 74477648 75158846 76294176 77177744 77883638 79797480 80527335 82690440 83446755 85895824 89009872 89840020 92031240 93097060 94332021 95367720 96472180 97751913 106396640 107369780 107808024 108794073 110253920 111262340 111716472 112738269 115766616 116825457 122708320 125776028 127156960 128843736 130335884 133514808 134760030 139645590 143744032 144708270 145058764 148955296 150317692 154355488 155767276 157220035 159594960 161054670 162919855 165380880 166893510 171791648 178019744 179680040 181323455 184062480 186194120 187897115 188664042 190735440 192944360 194709095 195503826 214739560 215616048 217588146 220108049 222524680 223432944 225476538 228087797 231533232 233650914 251552056 253852837 257687472 260671768 263055961 267029616 269520060 279291180 289416540 290117528 300635384 311534552 314440070 319189920 322109340 325839710 330761760 333787020 359360080 362646910 368124960 372388240 375794230 377328084 381470880 385888720 389418190 391007652 429479120 431232096 435176292 440216098 445049360 446865888 450953076 456175594 463066464 467301828 471660105 488759565 503104112 507705674 515374944 521343536 526111922 534059232 539040120 543970365 558582360 563691345 578833080 580235056 584127285 601270768 623069104 628880140 644218680 651679420 660324147 667574040 684263391 718720160 725293820 744776480 751588460 754656168 761558511 771777440 778836380 782015304 789167883 858958240 870352584 880432196 890098720 901906152 912351188 934603656 943320210 977519130 1006208224 1015411348 1042687072 1052223844 1078080240 1087940730 1100540245 1117164720 1127382690 1140438985 1157666160 1160470112 1168254570 1202541536 1246138208 1257760280 1269264185 1288437360 1303358840 1315279805 1320648294 1335148080 1368526782 1450587640 1486852331 1503176920 1509312336 1523117022 1540756343 1557672760 1564030608 1578335766 1596614579 1740705168 1760864392 1776969859 1803812304 1824702376 1841391727 1869207312 1886640420 1955038260 2030822696 2104447688 2156160480 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10407966317 10522238440 10565186352 10661819154 10785294401 10948214256 11048350362 11894818648 12184936176 12326050744 12438789013 12626686128 12772916632 12889742089 13206482940 13685267820 14215758872 14731133816 14868523310 15093123360 15231170220 15407563430 15640306080 15783357660 15966145790 17407051680 17608643920 17769698590 17842227972 18038123040 18247023760 18413917270 18489076116 18692073120 19159374948 20308226960 20815932634 21044476880 21130372704 21323638308 21570588802 21896428512 22096700724 22302784965 23111345145 23789637296 23949218685 24369872352 24652101488 24877578026 25253372256 25545833264 25779484178 26412965880 26654547885 27370535640 27620875905 28431517744 29462267632 29737046620 30462340440 30815126860 31223898951 31566715320 31932291580 32355883203 35217287840 35539397180 35684455944 36494047520 36827834540 36978152232 37316367039 38318749896 38669226267 40616453920 41631865268 42088953760 42647276616 43141177604 44193401448 44605569930 46222690290 47579274592 47898437370 49304202976 49755156052 51091666528 51558968356 52039831585 52825931760 53309095770 53926472005 54741071280 55241751810 56863035488 58924535264 59474093240 60924680880 61630253720 62193945065 62447797902 63133430640 63864583160 64448710445 64711766406 71078794360 71368911888 72855764219 73655669080 73956304464 74632734078 75497060807 76637499792 77338452534 83263730536 85294553232 86282355208 87071523091 88386802896 89211139860 92445380580 95796874740 99510312104 103117936712 104079663170 105651863520 106618191540 107852944010 109482142560 110483503620 118948186480 121849361760 123260507440 124387890130 124895595804 126266861280 127729166320 128897420890 129423532812 142157588720 142737823776 145711528438 147311338160 147912608928 149265468156 150994121614 153274999584 154676905068 156119494755 161779416015 166527461072 170589106464 172564710416 174143046182 176773605792 178422279720 184890761160 186581835195 191593749480 193346131335 199020624208 206235873424 208159326340 213236383080 215705888020 218567292657 220967007240 226491182421 237896372960 246521014880 248775780260 249791191608 255458332640 257794841780 258847065624 261214569273 284315177440 291423056876 294622676320 298530936312 301988243228 309353810136 312238989510 323558832030 333054922144 345129420832 348286092364 356844559440 364278821095 369781522320 373163670390 377485304035 383187498960 386692262670 398041248416 412471746848 416318652680 426472766160 431411776040 435357615455 437134585314 441934014480 452982364842 497551560520 499582383216 509990349533 515589683560 517694131248 522429138546 528479425649 582846113752 597061872624 603976486456 609500661637 618707620272 624477979020 647117664060 696572184728 713689118880 728557642190 739563044640 746327340780 754970608070 766374997920 773384525340 832637305360 852945532320 862823552080 870715230910 874269170628 883868028960 905964729684 995103121040 999164766432 1019980699066 1031179367120 1035388262496 1044858277092 1056958851298 1092836463285 1132455912105 1165692227504 1194123745248 1207952972912 1219001323274 1237415240544 1248955958040 1294235328120 1306072846365 1393144369456 1457115284380 1492654681560 1509941216140 1529971048599 1546769050680 1585438276947 1665274610720 1725647104160 1741430461820 1748538341256 1811929459368 1828501984911 1990206242080 2039961398132 2062358734240 2089716554184 2113917702596 2185672926570 2264911824210 2331384455008 2415905945824 2438002646548 2497911916080 2549951747665 2588470656240 2612145692730 2642397128245 2786288738912 2914230568760 2985309363120 3019882432280 3047503308185 3059942097198 3093538101360 3170876553894 3482860923640 3497076682512 3569932446731 3623858918736 3657003969822 4079922796264 4179433108368 4227835405192 4266504631459 4371345853140 4529823648420 4876005293096 4995823832160 5099903495330 5176941312480 5224291385460 5284794256490 5828461137520 5970618726240 6039764864560 6095006616370 6119884194396 6187076202720 6341753107788 6965721847280 6994153365024 7139864893462 7247717837472 7314007939644 7649855242995 7927191384735 8159845592528 8358866216736 8455670810384 8533009262918 8742691706280 9059647296840 9142509924555 9752010586192 10199806990660 10448582770920 10569588512980 10709797340193 11656922275040 12079529729120 12190013232740 12239768388792 12683506215576 12799513894377 13931443694560 14279729786924 14628015879288 15299710485990 15854382769470 16319691185056 16911341620768 17066018525836 17485383412560 17849662233655 18119294593680 18285019849110 19504021172384 20399613981320 20897165541840 21139177025960 21332523157295 21419594680386 24380026465480 24479536777584 24989527127117 25367012431152 25599027788754 28559459573848 29256031758576 30599420971980 31708765538940 34132037051672 34970766825120 35699324467310 36238589187360 36570039698220 40799227962640 41794331083680 42278354051920 42665046314590 42839189360772 48760052930960 48959073555168 49979054254234 50734024862304 51198055577508 53548986700965 57118919147696 58512063517152 61198841943960 63417531077880 63997569471885 68264074103344 71398648934620 73140079396440 74968581381351 81598455925280 84556708103840 85330092629180 85678378721544 97520105861920 99958108508468 102396111155016 107097973401930 114237838295392 122397683887920 124947635635585 126835062155760 127995138943770 136528148206688 142797297869240 146280158792880 149937162762702 170660185258360 171356757443088 174926689889819 199916217016936 204792222310032 214195946803860 244795367775840 249895271271170 253670124311520 255990277887540 285594595738480 292560317585760 299874325525404 341320370516720 342713514886176 349853379779638 374842906906755 399832434033872 409584444620064 428391893607720 499790542542340 511980555775080 524780069669457 571189191476960 599748651050808 682640741033440 699706759559276 749685813813510 799664868067744 856783787215440 874633449449095 999581085084680 1023961111550160 1049560139338914 1199497302101616 1399413519118552 1499371627627020 1713567574430880 1749266898898190 1999162170169360 2047922223100320 2099120278677828 2398994604203232 2623900348347285 2798827038237104 2998743255254040 3498533797796380 3998324340338720 4198240557355656 5247800696694570 5597654076474208 5997486510508080 6997067595592760 8396481114711312 10495601393389140 11994973021016160 13994135191185520 16792962229422624 20991202786778280 27988270382371040 41982405573556560 83964811147113120
• Sum of all divisors σ(n): 317054279196692352
• Sum of proper divisors (its aliquot sum) s(n): 233089468049579232
• 83964811147113120 is an abundant number, because the sum of its proper divisors (233089468049579232) is greater than itself. Its abundance is 149124656902466112

Bases of 83964811147113120

• Binary: 100101010010011011000110100000110000011100111001010100000₂
• Hexadecimal: 0x12A4D8D060E72A0
• Base-36: MYR1HQHT76O

Squares and roots of 83964811147113120

• 83964811147113120 squared (83964811147113120²) is 7050089510970371654482910076134400
• 83964811147113120 cubed (83964811147113120³) is 591959434358870346806540448923163394577969123328000
• The square root of 83964811147113120 is 289766822.0261131277
• The cube root of 83964811147113120 is 437890.7505842519

Scales and comparisons

• 83,964,811,147,113,120 seconds is equal to 2,669,821,274 years, 13 weeks, 5 days, 7 hours, 52 minutes.
• To count from 1 to 83,964,811,147,113,120 would take you about eight billion, nine million, four hundred sixty-three thousand, eight hundred twenty-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 83964811147113120 cubic inches would be around 36490.9 feet tall.

Recreational maths with 83964811147113120

• 83964811147113120 backwards is 02131174111846938
• 83964811147113120 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 83964811147113120's digits is 60
• More coming soon!