34968129910161120

Names of 34968129910161120

• Cardinal: 34968129910161120 can be written as Thirty-four quadrillion, nine hundred sixty-eight trillion, one hundred twenty-nine billion, nine hundred ten million, one hundred sixty-one thousand, one hundred twenty.

Scientific notation

• Scientific notation: 3.496812991016112 × 10¹⁶

Factors of 34968129910161120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1259

Divisors of 34968129910161120

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 72 76 80 90 95 96 108 114 120 135 137 144 152 160 171 180 190 216 228 240 270 274 285 288 304 342 360 361 380 411 432 456 480 513 540 548 570 608 684 685 720 722 760 822 855 864 912 1026 1080 1083 1093 1096 1140 1233 1368 1370 1440 1444 1520 1644 1710 1805 1824 2052 2055 2160 2166 2186 2192 2280 2466 2565 2603 2736 2740 2888 3040 3249 3279 3288 3420 3610 3699 4104 4110 4320 4332 4372 4384 4560 4932 5130 5206 5415 5465 5472 5480 5776 6165 6498 6558 6576 6840 7220 7398 7809 8208 8220 8664 8744 9120 9747 9837 9864 10260 10412 10830 10930 10960 11552 12330 12996 13015 13116 13152 13680 14440 14796 15618 16245 16395 16416 16440 17328 17488 18495 18769 19494 19674 19728 20520 20767 20824 21660 21860 21920 23427 24660 25992 26030 26232 27360 28880 29511 29592 31236 32490 32790 32880 34656 34976 36990 37538 38988 39045 39348 39456 41040 41534 41648 43320 43720 46854 48735 49185 49320 49457 51984 52060 52464 56307 57760 59022 59184 62301 62472 64980 65580 65760 70281 73980 75076 77976 78090 78696 82080 83068 83296 86640 87440 93708 93845 97470 98370 98640 98914 103835 103968 104120 104928 112614 117135 118044 118368 124602 124944 129960 131160 140562 147555 147960 148371 149741 150152 155952 156180 157392 166136 168921 173280 174880 186903 187416 187690 194940 196740 197280 197828 207670 208240 225228 234270 236088 247285 249204 249888 259920 262320 281124 281535 295110 295920 296742 299482 300304 311505 311904 312360 314784 332272 337842 351405 356611 373806 374832 375380 389880 393480 394573 395656 415340 416480 445113 449223 450456 468540 472176 494570 498408 506763 519840 524640 560709 562248 563070 590220 591840 593484 598964 600608 623010 624720 664544 675684 702810 713222 741855 747612 748705 749664 750760 779760 786960 789146 791312 830680 844605 890226 898446 900912 934515 937080 944352 989140 996816 1013526 1069833 1121418 1124496 1126140 1180440 1183719 1186968 1194649 1197928 1246020 1249440 1335339 1347669 1351368 1405620 1426444 1483710 1495224 1497410 1501520 1559520 1573920 1578292 1582624 1661360 1689210 1780452 1783055 1796892 1801824 1869030 1874160 1972865 1978280 1993632 2027052 2139666 2225565 2242836 2246115 2248992 2252280 2360880 2367438 2373936 2389298 2395856 2492040 2533815 2670678 2695338 2702736 2803545 2811240 2845079 2852888 2967420 2990448 2994820 3003040 3156584 3209499 3322720 3378420 3551157 3560904 3566110 3583947 3593784 3738060 3748320 3945730 3956560 4043007 4054104 4279332 4451130 4485672 4492230 4504560 4721760 4734876 4747872 4778596 4791712 4984080 5067630 5341356 5349165 5390676 5405472 5607090 5622480 5690158 5705776 5918595 5934840 5973245 5980896 5989640 6313168 6418998 6676695 6738345 6756840 6775609 7102314 7121808 7132220 7167894 7187568 7476120 7891460 7913120 8086014 8108208 8535237 8558664 8902260 8971344 8984460 9009120 9469752 9557192 9628497 9968160 10135260 10653471 10682712 10698330 10751841 10781352 11214180 11244960 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71023140 71218080 71678940 71875680 76817133 77027976 80860140 81082080 81307308 82058068 85227768 85352370 85586640 86014728 89713440 90793324 91042528 94697520 95571920 96284970 101634135 102422844 102572585 102703968 106534710 106827120 107518410 107813520 108113002 108409744 113491655 113637024 113803160 114686304 121960962 123087102 128028555 128379960 129022092 129376224 135512180 136189986 136563792 142046280 143357880 153634266 154055952 161277615 161720280 162169503 162614616 163666913 164116136 170455536 170704740 171173280 172029456 181586648 182941443 184630653 189395040 191143840 192569940 203268270 204284979 204845688 205145170 213069420 213654240 215036820 215627040 216226004 216819488 226983310 227606320 243921924 246174204 256057110 256759920 258044184 270282505 271024360 272379972 273127584 284092560 286715760 304902405 307268532 307717755 308111904 322555230 323440560 324339006 325229232 327333826 328232272 340474965 340911072 341409480 344058912 363173296 365882886 369261306 384085665 385139880 389775823 406536540 408569958 409691376 410290340 426138840 430073640 431268289 432452008 453966620 455212640 486508509 487843848 491000739 492348408 512114220 513519840 516088368 540565010 542048720 544759944 553891959 568185120 573431520 609804810 612854937 614537064 615435510 645110460 646881120 648678012 650458464 654667652 656464544 680949930 682818960 726346592 731765772 738522612 768171330 770279760 779551646 810847515 813073080 817139916 818334565 819382752 820580680 852277680 860147280 862536578 864904016 907933240 914707215 923153265 973017018 975687696 982001478 984696816 1021424895 1024228440 1032176736 1081130020 1084097440 1089519888 1107783918 1169327469 1219609620 1225709874 1229074128 1230871020 1290220920 1293804867 1297356024 1309335304 1361899860 1365637920 1459525527 1463531544 1473002217 1477045224 1536342660 1540559520 1559103292 1621695030 1626146160 1634279832 1636669130 1641161360 1704555360 1720294560 1725073156 1729808032 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8171399160 8625365780 8649040160 8838013302 8862271344 9329014041 9354619752 9730170180 9756876960 9805678992 9820014780 9846968160 10350438936 10523947221 10895198880 11077839180 11644243803 11676204216 11693274690 11784017736 12257098740 12290741280 12438685388 12472826336 12938048670 12973560240 13093353040 13800585248 14031929628 14595255270 14635315440 14730022170 14770452240 14811481274 15525658404 15548356735 15568272288 15591032920 15712023648 16342798320 17250731560 17539912035 17676026604 17724542688 18658028082 18709239504 19407073005 19460340360 19611357984 19640029560 20700877872 21047894442 22095033255 22155678360 22217221911 22422367081 23288487606 23352408432 23386549380 23568035472 24514197480 24877370776 25876097340 25947120480 26186706080 27987042123 28063859256 29190510540 29270630880 29460044340 29540904480 29622962548 31051316808 31096713470 31182065840 32685596640 34501463120 35079824070 35352053208 37028703185 37316056164 37418479008 38814146010 38920680720 39280059120 41401755744 42095788884 44190066510 44311356720 44434443822 44844734162 46576975212 46645070205 46704816864 46773098760 47136070944 49028394960 49754741552 51752194680 52619736105 55974084246 56127718512 58221219015 58381021080 58920088680 59083755593 59245925096 62102633616 62193426940 62364131680 66651665733 67267101243 69002926240 70159648140 70704106416 74057406370 74632112328 77628292020 77841361440 78560118240 83961126369 84191577768 88380133020 88622713440 88868887644 89689468324 93153950424 93290140410 93546197520 98056789920 99509483104 103504389360 105239472210 111086109555 111948168492 112111835405 112255437024 116442438030 116762042160 117840177360 118167511186 118491850192 124205267232 124386853880 133303331466 134534202486 139935210615 140319296280 141408212832 148114812740 149264224656 155256584040 167922252738 168383155536 176760266040 177251266779 177737775288 179378936648 186307900848 186580280820 187092395040 199954997199 201801303729 207008778720 210478944420 222172219110 223896336984 224223670810 232884876060 233524084320 235680354720 236335022372 236983700384 248773707760 266606662932 269068404972 279870421230 280638592560 295418777965 296229625480 298528449312 310513168080 333258328665 335844505476 336335506215 336766311072 353520532080 354502533558 355475550576 358757873296 372615801696 373160561640 399909994398 403602607458 419805631845 420957888840 426024974539 444344438220 447792673968 448447341620 465769752120 472670044744 497547415520 531753800337 533213325864 538136809944 559740842460 561277185120 590837555930 592459250960 605403911187 621026336160 666516657330 671689010952 672671012430 707041064160 709005067116 710951101152 717515746592 746321123280 799819988796 807205214916 839611263690 841915777680 852049949078 886256333895 888688876440 895585347936 896894683240 931539504240 945340089488 999774985995 1009006518645 1063507600674 1066426651728 1076273619888 1119481684920 1181675111860 1184918501920 1210807822374 1278074923617 1333033314660 1343378021904 1345342024860 1418010134232 1492642246560 1595261401011 1599639977592 1614410429832 1679222527380 1683831555360 1704099898156 1772512667790 1777377752880 1793789366480 1863079008480 1890680178976 1999549971990 2018013037290 2127015201348 2130124872695 2132853303456 2152547239776 2238963369840 2363350223720 2421615644748 2556149847234 2658769001685 2666066629320 2686756043808 2690684049720 2836020268464 3027019555935 3190522802022 3199279955184 3228820859664 3358445054760 3408199796312 3545025335580 3554755505760 3587578732960 3834224770851 3999099943980 4036026074580 4254030402696 4260249745390 4477926739680 4726700447440 4843231289496 5112299694468 5317538003370 5332133258640 5381368099440 5672040536928 6054039111870 6381045604044 6390374618085 6398559910368 6457641719328 6716890109520 6816399592624 7090050671160 7668449541702 7976307005055 7998199887960 8072052149160 8094474516241 8508060805392 8520499490780 9453400894880 9686462578992 10224599388936 10635076006740 10664266517280 10762736198880 11502674312553 12108078223740 12762091208088 12780749236170 13433780219040 13632799185248 14180101342320 15336899083404 15952614010110 15996399775920 16144104298320 16188949032482 17016121610784 17040998981560 19171123854255 19372925157984 20449198777872 21270152013480 23005348625106 24216156447480 24283423548723 25524182416176 25561498472340 28360202684640 30673798166808 31905228020220 31992799551840 32288208596640 32377898064964 34081997963120 38342247708510 40472372581205 40898397555744 42540304026960 46010697250212 48432312894960 48566847097446 51048364832352 51122996944680 57513371562765 61347596333616 63810456040440 64755796129928 68163995926240 72850270646169 76684495417020 80944745162410 85080608053920 92021394500424 96864625789920 97133694194892 102245993889360 115026743125530 121417117743615 122695192667232 127620912080880 129511592259856 145700541292338 153368990834040 161889490324820 184042789000848 194267388389784 204491987778720 218550811938507 230053486251060 242834235487230 255241824161760 259023184519712 291401082584676 306737981668080 323778980649640 364251353230845 368085578001696 388534776779568 437101623877014 460106972502120 485668470974460 582802165169352 613475963336160 647557961299280 728502706461690 777069553559136 874203247754028 920213945004240 971336941948920 1092754059692535 1165604330338704 1295115922598560 1457005412923380 1748406495508056 1840427890008480 1942673883897840 2185508119385070 2331208660677408 2914010825846760 3496812991016112 3885347767795680 4371016238770140 5828021651693520 6993625982032224 8742032477540280 11656043303387040 17484064955080560 34968129910161120
• Sum of all divisors σ(n): 130237856007048720
• Sum of proper divisors (its aliquot sum) s(n): 95269726096887600
• 34968129910161120 is an abundant number, because the sum of its proper divisors (95269726096887600) is greater than itself. Its abundance is 60301596186726480

Bases of 34968129910161120

• Binary: 1111100001110110101010000110001110000010011111011100000₂
• Hexadecimal: 0x7C3B5431C13EE0
• Base-36: 9KB61425FC0

Squares and roots of 34968129910161120

• 34968129910161120 squared (34968129910161120²) is 1222770109413904738282224359654400
• 34968129910161120 cubed (34968129910161120³) is 42757984036247347568646139983593653891931516928000
• The square root of 34968129910161120 is 186997673.5421088601
• The cube root of 34968129910161120 is 327007.3159375371

Scales and comparisons

• 34,968,129,910,161,120 seconds is equal to 1,111,878,367 years, 32 weeks, 1 hour, 12 minutes.
• To count from 1 to 34,968,129,910,161,120 would take you about three billion, three hundred thirty-five million, six hundred thirty-five thousand, one hundred 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 34968129910161120 cubic inches would be around 27250.6 feet tall.

Recreational maths with 34968129910161120

• 34968129910161120 backwards is 02116101992186943
• The number of decimal digits it has is: 17
• The sum of 34968129910161120's digits is 63
• More coming soon!