34768983932928
34,768,983,932,928 is an even composite number composed of five prime numbers multiplied together.
34768983932928 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 34768983932928:
214 × 33 × 73 × 43 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 43 × 73 × 73)See below for interesting mathematical facts about the number 34768983932928 from the Numbermatics database.
Names of 34768983932928
- Cardinal: 34768983932928 can be written as Thirty-four trillion, seven hundred sixty-eight billion, nine hundred eighty-three million, nine hundred thirty-two thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 3.4768983932928 × 1013
Factors of 34768983932928
Divisors of 34768983932928
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 63 64 72 73 84 86 96 98 108 112 126 128 129 144 146 147 168 172 189 192 196 216 219 224 252 256 258 288 292 294 301 336 343 344 378 384 387 392 432 438 441 448 504 511 512 516 576 584 588 602 657 672 686 688 756 768 774 784 864 876 882 896 903 1008 1022 1024 1029 1032 1152 1161 1168 1176 1204 1314 1323 1344 1372 1376 1512 1533 1536 1548 1568 1728 1752 1764 1792 1806 1971 2016 2044 2048 2058 2064 2107 2304 2322 2336 2352 2408 2628 2646 2688 2709 2744 2752 3024 3066 3072 3087 3096 3136 3139 3456 3504 3528 3577 3584 3612 3942 4032 4088 4096 4116 4128 4214 4599 4608 4644 4672 4704 4816 5256 5292 5329 5376 5418 5488 5504 6048 6132 6144 6174 6192 6272 6278 6321 6912 7008 7056 7154 7168 7224 7884 8064 8127 8176 8192 8232 8256 8428 9198 9216 9261 9288 9344 9408 9417 9632 10512 10584 10658 10731 10752 10836 10976 11008 12096 12264 12288 12348 12384 12544 12556 12642 13797 13824 14016 14112 14308 14336 14448 14749 15768 15987 16128 16254 16352 16384 16464 16512 16856 18396 18432 18522 18576 18688 18816 18834 18963 19264 21024 21168 21316 21462 21504 21672 21952 21973 22016 24192 24528 24576 24696 24768 25039 25088 25112 25284 27594 27648 28032 28224 28251 28616 28672 28896 29498 31536 31974 32193 32256 32508 32704 32928 33024 33712 36792 36864 37044 37152 37303 37376 37632 37668 37926 38528 42048 42336 42632 42924 43008 43344 43904 43946 44032 44247 47961 48384 49056 49152 49392 49536 50078 50176 50224 50568 55188 55296 56064 56448 56502 56889 57232 57344 57792 58996 63072 63948 64386 64512 65016 65408 65856 65919 66048 67424 73584 73728 74088 74304 74606 74752 75117 75264 75336 75852 77056 84096 84672 84753 85264 85848 86016 86688 87808 87892 88064 88494 95922 96579 96768 98112 98784 99072 100156 100352 100448 101136 110376 110592 111909 112128 112896 113004 113778 114464 114688 115584 117992 126144 127896 128772 129024 130032 130816 131712 131838 132096 132741 134848 143883 147168 147456 148176 148608 149212 149504 150234 150528 150672 151704 153811 154112 168192 169344 169506 170528 171696 172032 173376 175616 175784 176128 176988 191844 193158 193536 196224 197568 197757 198144 200312 200704 200896 202272 220752 221184 223818 224256 225351 225792 226008 227556 228928 229147 231168 235984 252288 255792 257544 258048 260064 261121 261632 263424 263676 264192 265482 269696 287766 294336 296352 297216 298424 299008 300468 301056 301344 303408 307622 308224 335727 336384 338688 339012 341056 343392 344064 346752 351232 351568 352256 353976 383688 386316 387072 392448 395136 395514 396288 398223 400624 401408 401792 404544 441504 442368 447636 448512 450702 451584 452016 455112 457856 458294 461433 462336 471968 504576 511584 515088 516096 520128 522242 523264 526848 527352 528384 530964 539392 575532 588672 592704 593271 594432 596848 598016 600936 602112 602688 606816 615244 616448 671454 672768 676053 677376 678024 682112 686784 687441 693504 702464 703136 704512 707952 767376 772632 774144 783363 784896 790272 791028 792576 796446 801248 802816 803584 809088 883008 895272 897024 901404 903168 904032 910224 915712 916588 922866 924672 943936 1007181 1009152 1023168 1030176 1032192 1040256 1044484 1046528 1053696 1054704 1056768 1061928 1076677 1078784 1151064 1177344 1185408 1186542 1188864 1193696 1196032 1201872 1204224 1205376 1213632 1230488 1232896 1342908 1345536 1352106 1354752 1356048 1364224 1373568 1374882 1384299 1387008 1404928 1406272 1415904 1534752 1545264 1548288 1566726 1569792 1580544 1582056 1585152 1592892 1602496 1604029 1607168 1618176 1766016 1790544 1794048 1802808 1806336 1808064 1820448 1827847 1831424 1833176 1845732 1849344 1887872 2014362 2018304 2046336 2060352 2062323 2080512 2088968 2093056 2107392 2109408 2113536 2123856 2153354 2157568 2302128 2350089 2354688 2370816 2373084 2377728 2387392 2403744 2408448 2410752 2427264 2460976 2465792 2685816 2691072 2704212 2709504 2712096 2728448 2747136 2749764 2768598 2774016 2809856 2812544 2831808 3069504 3090528 3096576 3133452 3139584 3161088 3164112 3170304 3185784 3204992 3208058 3214336 3230031 3236352 3532032 3581088 3588096 3605616 3612672 3616128 3640896 3655694 3662848 3666352 3691464 3698688 3775744 4028724 4036608 4092672 4120704 4124646 4152897 4161024 4177936 4186112 4214784 4218816 4247712 4306708 4315136 4604256 4700178 4709376 4741632 4746168 4755456 4774784 4807488 4812087 4821504 4854528 4921952 4931584 5371632 5382144 5408424 5419008 5424192 5456896 5483541 5494272 5499528 5537196 5548032 5619712 5625088 5663616 6139008 6181056 6186969 6266904 6279168 6322176 6328224 6340608 6371568 6409984 6416116 6428672 6460062 6472704 7050267 7064064 7162176 7211232 7225344 7232256 7281792 7311388 7325696 7332704 7382928 7397376 7551488 8057448 8073216 8185344 8241408 8249292 8305794 8322048 8355872 8372224 8429568 8437632 8495424 8613416 8630272 9208512 9400356 9418752 9483264 9492336 9510912 9549568 9614976 9624174 9643008 9690093 9709056 9843904 10743264 10764288 10816848 10838016 10848384 10913792 10967082 10988544 10999056 11074392 11096064 11228203 11250176 11327232 12278016 12362112 12373938 12533808 12558336 12644352 12656448 12743136 12819968 12832232 12857344 12920124 12945408 14100534 14128128 14324352 14422464 14436261 14464512 14563584 14622776 14651392 14665408 14765856 14794752 15102976 16114896 16146432 16370688 16450623 16482816 16498584 16611588 16644096 16711744 16859136 16875264 16990848 17226832 17260544 18417024 18800712 18837504 18966528 18984672 19021824 19099136 19229952 19248348 19286016 19380186 19418112 19687808 21486528 21633696 21676032 21696768 21827584 21934164 21977088 21998112 22148784 22192128 22456406 22500352 22654464 24556032 24724224 24747876 25067616 25116672 25288704 25312896 25486272 25639936 25664464 25714688 25840248 25890816 28201068 28256256 28648704 28844928 28872522 28929024 29070279 29127168 29245552 29302784 29330816 29531712 30205952 32229792 32292864 32741376 32901246 32965632 32997168 33223176 33288192 33423488 33684609 33750528 33981696 34453664 34521088 36834048 37601424 37675008 37933056 37969344 38198272 38459904 38496696 38572032 38760372 38836224 39375616 42973056 43267392 43308783 43393536 43655168 43868328 43954176 43996224 44297568 44384256 44912812 45000704 45308928 49112064 49351869 49448448 49495752 50135232 50577408 50625792 50972544 51279872 51328928 51429376 51680496 51781632 56402136 56512512 57297408 57689856 57745044 57858048 58140558 58254336 58491104 58605568 58661632 59063424 60411904 64459584 65482752 65802492 65931264 65994336 66446352 66576384 66846976 67369218 67501056 67963392 68907328 73668096 75202848 75350016 75866112 75938688 76396544 76919808 76993392 77144064 77520744 77672448 78597421 78751232 85946112 86534784 86617566 86787072 87310336 87736656 87908352 87992448 88595136 89825624 90001408 90617856 98224128 98703738 98896896 98991504 100270464 101053827 101251584 101945088 102559744 102657856 103360992 103563264 112804272 113025024 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362471424 392896512 394814952 395587584 395966016 401081856 404215308 405006336 407780352 410238976 410631424 413443968 451217088 458379264 461518848 461960352 462864384 465124464 466034688 467928832 469293056 471584526 472507392 515676672 526419936 527450112 527954688 531570816 534775808 538953744 540008448 543707136 551258624 589344768 601622784 606322962 607509504 611172352 615358464 615947136 620165952 628779368 630009856 687568896 692278272 692940528 694296576 701893248 703939584 707376789 708761088 718604992 724942848 785793024 789629904 791175168 791932032 802163712 808430616 810012672 815560704 821262848 826887936 902434176 916758528 923037696 923920704 930248928 932069376 935857664 938586112 943169052 945014784 1031353344 1052839872 1055909376 1063141632 1069551616 1077907488 1080016896 1087414272 1102517248 1178689536 1203245568 1212645924 1215019008 1230716928 1231894272 1240331904 1257558736 1260019712 1375137792 1384556544 1385881056 1388593152 1403786496 1407879168 1414753578 1417522176 1437209984 1579259808 1582350336 1583864064 1604327424 1616861232 1620025344 1631121408 1642525696 1653775872 1804868352 1833517056 1846075392 1847841408 1860497856 1871715328 1877172224 1886338104 1890029568 2062706688 2105679744 2111818752 2122130367 2126283264 2139103232 2155814976 2174828544 2205034496 2357379072 2406491136 2425291848 2430038016 2463788544 2480663808 2515117472 2520039424 2750275584 2769113088 2771762112 2807572992 2815758336 2829507156 2835044352 2874419968 3158519616 3167728128 3208654848 3233722464 3240050688 3262242816 3285051392 3307551744 3609736704 3692150784 3695682816 3720995712 3743430656 3754344448 3772676208 3780059136 4125413376 4211359488 4223637504 4244260734 4252566528 4278206464 4311629952 4410068992 4812982272 4850583696 4860076032 4927577088 4961327616 5030234944 5500551168 5538226176 5543524224 5615145984 5631516672 5659014312 5670088704 5748839936 6317039232 6335456256 6417309696 6467444928 6524485632 6570102784 6615103488 7219473408 7391365632 7441991424 7486861312 7545352416 7560118272 8250826752 8422718976 8447275008 8488521468 8505133056 8623259904 8820137984 9625964544 9701167392 9720152064 9855154176 9922655232 10060469888 11076452352 11087048448 11230291968 11263033344 11318028624 11340177408 11497679872 12634078464 12670912512 12834619392 12934889856 13140205568 13230206976 14438946816 14782731264 14883982848 14973722624 15090704832 16501653504 16845437952 16894550016 16977042936 17010266112 17246519808 17640275968 19251929088 19402334784 19710308352 19845310464 20120939776 22174096896 22460583936 22636057248 22680354816 22995359744 25268156928 25341825024 25869779712 26280411136 26460413952 28877893632 29565462528 29767965696 29947445248 30181409664 33690875904 33789100032 33954085872 34020532224 34493039616 38503858176 38804669568 39420616704 39690620928 40241879552 44348193792 44921167872 45272114496 45990719488 50536313856 50683650048 51739559424 52920827904 57755787264 59130925056 59535931392 60362819328 67381751808 67908171744 68041064448 68986079232 77609339136 78841233408 79381241856 80483759104 88696387584 89842335744 90544228992 91981438976 101072627712 101367300096 103479118848 115511574528 118261850112 119071862784 120725638656 134763503616 135816343488 137972158464 155218678272 158762483712 160967518208 177392775168 181088457984 183962877952 202145255424 206958237696 236523700224 238143725568 241451277312 269527007232 271632686976 275944316928 310437356544 321935036416 354785550336 362176915968 404290510848 413916475392 476287451136 482902554624 543265373952 551888633856 620874713088 643870072832 709571100672 724353831936 808581021696 827832950784 965805109248 1086530747904 1241749426176 1287740145664 1448707663872 1655665901568 1931610218496 2173061495808 2483498852352 2897415327744 3863220436992 4346122991616 4966997704704 5794830655488 8692245983232 11589661310976 17384491966464 34768983932928
- Sum of all divisors σ(n): 124636231104000
- Sum of proper divisors (its aliquot sum) s(n): 89867247171072
- 34768983932928 is an abundant number, because the sum of its proper divisors (89867247171072) is greater than itself. Its abundance is 55098263238144
Bases of 34768983932928
- Binary: 1111110011111010010001110111111000000000000002
- Hexadecimal: 0x1F9F48EFC000
- Base-36: CBONFBPC0
Squares and roots of 34768983932928
- 34768983932928 squared (347689839329282) is 1208882243728205414802653184
- 34768983932928 cubed (347689839329283) is 42031607308987924564648618130401501642752
-
The
square root of 34768983932928 is 5896523.0375983439 -
The
cube root of 34768983932928 is 32638.5357128573
Scales and comparisons
How big is 34768983932928?- 34,768,983,932,928 seconds is equal to 1,105,546 years, 7 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 34,768,983,932,928 would take you about two million, seven hundred sixty-three thousand, eight hundred sixty-five 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 34768983932928 cubic inches would be around 2719.9 feet tall.
Recreational maths with 34768983932928
- 34768983932928 backwards is 82923938986743
- The number of decimal digits it has is: 14
- The sum of 34768983932928's digits is 81
- More coming soon!
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The information we have on file for 34768983932928 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!
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