134312648320204800
134,312,648,320,204,800 is an even composite number composed of five prime numbers multiplied together.
134312648320204800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 134312648320204800:
214 × 3 × 52 × 295 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 29 × 29 × 29 × 29 × 73 × 73)See below for interesting mathematical facts about the number 134312648320204800 from the Numbermatics database.
Names of 134312648320204800
- Cardinal: 134312648320204800 can be written as One hundred thirty-four quadrillion, three hundred twelve trillion, six hundred forty-eight billion, three hundred twenty million, two hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.343126483202048 × 1017
Factors of 134312648320204800
Divisors of 134312648320204800
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 73 75 80 87 96 100 116 120 128 145 146 150 160 174 192 200 219 232 240 256 290 292 300 320 348 365 384 400 435 438 464 480 512 580 584 600 640 696 725 730 768 800 841 870 876 928 960 1024 1095 1160 1168 1200 1280 1392 1450 1460 1536 1600 1682 1740 1752 1825 1856 1920 2048 2117 2175 2190 2320 2336 2400 2523 2560 2784 2900 2920 3072 3200 3364 3480 3504 3650 3712 3840 4096 4205 4234 4350 4380 4640 4672 4800 5046 5120 5329 5475 5568 5800 5840 6144 6351 6400 6728 6960 7008 7300 7424 7680 8192 8410 8468 8700 8760 9280 9344 9600 10092 10240 10585 10658 10950 11136 11600 11680 12288 12615 12702 12800 13456 13920 14016 14600 14848 15360 15987 16384 16820 16936 17400 17520 18560 18688 19200 20184 20480 21025 21170 21316 21900 22272 23200 23360 24389 24576 25230 25404 25600 26645 26912 27840 28032 29200 29696 30720 31755 31974 33640 33872 34800 35040 37120 37376 38400 40368 40960 42050 42340 42632 43800 44544 46400 46720 48778 49152 50460 50808 51200 52925 53290 53824 55680 56064 58400 59392 61393 61440 63075 63510 63948 67280 67744 69600 70080 73167 74240 74752 76800 79935 80736 81920 84100 84680 85264 87600 89088 92800 93440 97556 100920 101616 102400 105850 106580 107648 111360 112128 116800 118784 121945 122786 122880 126150 127020 127896 133225 134560 135488 139200 140160 146334 148480 149504 153600 154541 158775 159870 161472 168200 169360 170528 175200 178176 184179 185600 186880 195112 201840 203232 204800 211700 213160 215296 222720 224256 233600 237568 243890 245572 245760 252300 254040 255792 266450 269120 270976 278400 280320 292668 296960 299008 306965 307200 309082 317550 319740 322944 336400 338720 341056 350400 356352 365835 368358 371200 373760 390224 399675 403680 406464 409600 423400 426320 430592 445440 448512 463623 467200 475136 487780 491144 504600 508080 511584 532900 538240 541952 556800 560640 585336 593920 598016 609725 613930 614400 618164 635100 639480 645888 672800 677440 682112 700800 707281 712704 731670 736716 742400 747520 772705 780448 799350 807360 812928 846800 852640 861184 890880 897024 920895 927246 934400 975560 982288 1009200 1016160 1023168 1065800 1076480 1083904 1113600 1121280 1170672 1187840 1196032 1219450 1227860 1228800 1236328 1270200 1278960 1291776 1345600 1354880 1364224 1401600 1414562 1425408 1463340 1473432 1484800 1495040 1534825 1545410 1560896 1598700 1614720 1625856 1693600 1705280 1722368 1780397 1781760 1794048 1829175 1841790 1854492 1868800 1951120 1964576 2018400 2032320 2046336 2121843 2131600 2152960 2167808 2227200 2242560 2318115 2341344 2375680 2438900 2455720 2472656 2540400 2557920 2583552 2691200 2709760 2728448 2803200 2829124 2926680 2946864 2969600 2990080 3069650 3090820 3121792 3197400 3229440 3251712 3387200 3410560 3444736 3536405 3560794 3563520 3588096 3658350 3683580 3708984 3737600 3863525 3902240 3929152 4036800 4064640 4092672 4243686 4263200 4305920 4335616 4454400 4481689 4485120 4604475 4636230 4682688 4877800 4911440 4945312 5080800 5115840 5167104 5341191 5382400 5419520 5456896 5606400 5658248 5853360 5893728 5939200 5980160 6139300 6181640 6243584 6394800 6458880 6503424 6774400 6821120 6889472 7072810 7121588 7127040 7316700 7367160 7417968 7475200 7727050 7804480 7858304 8073600 8129280 8185344 8487372 8526400 8611840 8671232 8901985 8908800 8963378 8970240 9208950 9272460 9365376 9755600 9822880 9890624 10161600 10231680 10334208 10609215 10682382 10764800 10839040 10913792 11212800 11316496 11590575 11706720 11787456 11878400 12278600 12363280 12487168 12789600 12917760 13006848 13445067 13548800 13642240 13778944 14145620 14243176 14633400 14734320 14835936 14950400 15454100 15608960 15716608 16147200 16258560 16370688 16974744 17052800 17223680 17342464 17682025 17803970 17817600 17926756 17940480 18417900 18544920 18730752 19511200 19645760 19781248 20323200 20463360 20511149 20668416 21218430 21364764 21529600 21678080 21827584 22408445 22425600 22632992 23181150 23413440 23574912 24557200 24726560 24974336 25579200 25835520 26013696 26705955 26890134 27097600 27284480 28291240 28486352 29266800 29468640 29671872 29900800 30908200 31217920 31433216 32294400 32517120 32741376 33949488 34105600 34447360 34684928 35364050 35607940 35635200 35853512 36835800 37089840 37461504 39022400 39291520 39562496 40646400 40926720 41022298 41336832 42436860 42729528 43059200 43356160 43655168 44509925 44816890 44851200 45265984 46362300 46826880 47149824 49114400 49453120 49948672 51158400 51631513 51671040 52027392 53046075 53411910 53780268 54195200 54568960 56582480 56972704 58533600 58937280 59343744 61533447 61816400 62435840 62866432 64588800 65034240 65482752 67225335 67898976 68211200 68894720 70728100 71215880 71707024 73671600 74179680 74923008 78044800 78583040 79124992 81292800 81853440 82044596 84873720 85459056 86118400 86712320 87310336 89019850 89633780 89702400 90531968 92724600 93653760 94299648 98228800 98906240 99897344 102316800 102555745 103263026 103342080 104054784 106092150 106823820 107560536 108390400 109137920 112042225 113164960 113945408 117067200 117874560 118687488 123066894 123632800 124871680 125732864 129177600 129968981 130068480 130965504 133529775 134450670 135797952 136422400 141456200 142431760 143414048 147343200 148359360 149846016 154894539 156089600 157166080 158249984 162585600 163706880 164089192 169747440 170918112 172236800 173424640 178039700 179267560 181063936 185449200 187307520 188599296 196457600 197812480 199794688 204633600 205111490 206526052 206684160 212184300 213647640 215121072 216780800 218275840 224084450 226329920 227890816 234134400 235749120 237374976 246133788 247265600 249743360 251465728 258157565 258355200 259937962 260136960 261931008 267059550 268901340 271595904 272844800 282912400 284863520 286828096 294686400 296718720 299692032 307667235 309789078 312179200 314332160 316499968 325171200 327413760 328178384 336126675 339494880 341836224 344473600 356079400 358535120 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546519565105 546937958400 550709944320 565365067350 574968528768 598925550800 603056071840 623851108800 630102497280 634448031744 655823478126 660883366400 665441182720 688387430400 718710660960 723667286208 729250611200 753820089800 766624705024 787628121600 793060039680 798529419264 831801478400 840136663040 845930708992 869106892800 874431304168 898388326200 904584107760 917849907200 958280881280 964889714944 991325049600 998161774080 1008163995648 1050170828800 1057413386240 1064705892352 1093039130210 1093875916800 1101419888640 1130730134700 1149937057536 1197851101600 1206112143680 1247702217600 1260204994560 1268896063488 1311646956252 1321766732800 1330882365440 1376774860800 1437421321920 1447334572416 1507640179600 1533249410048 1575256243200 1586120079360 1597058838528 1639558695315 1663602956800 1680273326080 1748862608336 1796776652400 1809168215520 1835699814400 1916561762560 1929779429888 1982650099200 1996323548160 2100341657600 2114826772480 2129411784704 2186078260420 2187751833600 2261460269400 2299874115072 2395702203200 2412224287360 2495404435200 2520409989120 2537792126976 2623293912504 2643533465600 2661764730880 2732597825525 2753549721600 2874842643840 2894669144832 3015280359200 3066498820096 3150512486400 3172240158720 3194117677056 3279117390630 3327205913600 3497725216672 3593553304800 3618336431040 3833123525120 3859558859776 3965300198400 3992647096320 4200683315200 4229653544960 4372156520840 4522920538800 4599748230144 4791404406400 4824448574720 4990808870400 5040819978240 5246587825008 5287066931200 5323529461760 5465195651050 5507099443200 5749685287680 5789338289664 6030560718400 6132997640192 6301024972800 6344480317440 6388235354112 6558234781260 6654411827200 6995450433344 7187106609600 7236672862080 7666247050240 7719117719552 7930600396800 7985294192640 8197793476575 8401366630400 8744313041680 9045841077600 9199496460288 9582808812800 9648897149440 9981617740800 10493175650016 10574133862400 10647058923520 10930391302100 11499370575360 11578676579328 12061121436800 12265995280384 12602049945600 12688960634880 13116469562520 13308823654400 13990900866688 14374213219200 14473345724160 15332494100480 15438235439104 15861200793600 15970588385280 16395586953150 17488626083360 18091682155200 18398992920576 19165617625600 19297794298880 19963235481600 20986351300032 21148267724800 21860782604200 22998741150720 23157353158656 24122242873600 24531990560768 25204099891200 26232939125040 26617647308800 27981801733376 28748426438400 28946691448320 30664988200960 30876470878208 31722401587200 31941176770560 32791173906300 34977252166720 36183364310400 36797985841152 38331235251200 38595588597760 39926470963200 41972702600064 43721565208400 45997482301440 46314706317312 48244485747200 52465878250080 53235294617600 55963603466752 57496852876800 57893382896640 61329976401920 61752941756416 63444803174400 65582347812600 69954504333440 72366728620800 73595971682304 76662470502400 77191177195520 79852941926400 83945405200128 87443130416800 91994964602880 92629412634624 96488971494400 104931756500160 111927206933504 114993705753600 115786765793280 122659952803840 131164695625200 139909008666880 144733457241600 153324941004800 154382354391040 159705883852800 167890810400256 174886260833600 183989929205760 185258825269248 192977942988800 209863513000320 223854413867008 229987411507200 231573531586560 262329391250400 279818017333760 289466914483200 306649882009600 308764708782080 335781620800512 349772521667200 367979858411520 385955885977600 419727026000640 447708827734016 459974823014400 463147063173120 524658782500800 559636034667520 578933828966400 613299764019200 671563241601024 699545043334400 771911771955200 839454052001280 895417655468032 919949646028800 926294126346240 1049317565001600 1119272069335040 1157867657932800 1343126483202048 1399090086668800 1543823543910400 1678908104002560 1790835310936064 1839899292057600 2098635130003200 2238544138670080 2315735315865600 2686252966404096 2798180173337600 3357816208005120 4197270260006400 4477088277340160 4631470631731200 5372505932808192 5596360346675200 6715632416010240 8394540520012800 8954176554680320 11192720693350400 13431264832020480 16789081040025600 22385441386700800 26862529664040960 33578162080051200 44770882773401600 67156324160102400 134312648320204800
- Sum of all divisors σ(n): 466362142878373560
- Sum of proper divisors (its aliquot sum) s(n): 332049494558168760
- 134312648320204800 is an abundant number, because the sum of its proper divisors (332049494558168760) is greater than itself. Its abundance is 197736846237963960
Bases of 134312648320204800
- Binary: 1110111010010110010100100010110111111011111000000000000002
- Hexadecimal: 0x1DD2CA45BF7C000
- Base-36: 10QHUYTS1BEO
Squares and roots of 134312648320204800
- 134312648320204800 squared (1343126483202048002) is 18039887498787013283151913943040000
- 134312648320204800 cubed (1343126483202048003) is 2422985065360639110642903178886825543668334592000000
-
The
square root of 134312648320204800 is 366486900.6120202381 -
The
cube root of 134312648320204800 is 512120.6689869499
Scales and comparisons
How big is 134312648320204800?- 134,312,648,320,204,800 seconds is equal to 4,270,726,760 years, 14 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 134,312,648,320,204,800 would take you about twelve billion, eight hundred twelve million, one hundred eighty thousand, two hundred eighty 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 134312648320204800 cubic inches would be around 42676.7 feet tall.
Recreational maths with 134312648320204800
- 134312648320204800 backwards is 008402023846213431
- The number of decimal digits it has is: 18
- The sum of 134312648320204800's digits is 51
- More coming soon!
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"Number 134312648320204800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 134312648320204800 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/134312648320204800/
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The information we have on file for 134312648320204800 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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