137324420984343273300
137,324,420,984,343,273,300 is an even composite number composed of five prime numbers multiplied together.
137324420984343273300 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 137324420984343273300:
22 × 310 × 52 × 174 × 6533
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 17 × 17 × 653 × 653 × 653)See below for interesting mathematical facts about the number 137324420984343273300 from the Numbermatics database.
Names of 137324420984343273300
- Cardinal: 137324420984343273300 can be written as One hundred thirty-seven quintillion, three hundred twenty-four quadrillion, four hundred twenty trillion, nine hundred eighty-four billion, three hundred forty-three million, two hundred seventy-three thousand, three hundred.
Scientific notation
- Scientific notation: 1.373244209843432733 × 1020
Factors of 137324420984343273300
Divisors of 137324420984343273300
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 81 85 90 100 102 108 135 150 153 162 170 180 204 225 243 255 270 289 300 306 324 340 405 425 450 459 486 510 540 578 612 653 675 729 765 810 850 867 900 918 972 1020 1156 1215 1275 1306 1350 1377 1445 1458 1530 1620 1700 1734 1836 1959 2025 2187 2295 2430 2550 2601 2612 2700 2754 2890 2916 3060 3265 3468 3645 3825 3918 4050 4131 4335 4374 4590 4860 4913 5100 5202 5508 5780 5877 6075 6530 6561 6885 7225 7290 7650 7803 7836 8100 8262 8670 8748 9180 9795 9826 10404 10935 11101 11475 11754 12150 12393 13005 13060 13122 13770 14450 14580 14739 15300 15606 16325 16524 17340 17631 18225 19590 19652 19683 20655 21675 21870 22202 22950 23409 23508 24300 24565 24786 26010 26244 27540 28900 29385 29478 31212 32650 32805 33303 34425 35262 36450 37179 39015 39180 39366 41310 43350 43740 44217 44404 45900 46818 48975 49130 49572 52020 52893 54675 55505 58770 58956 59049 61965 65025 65300 65610 66606 68850 70227 70524 72900 73695 74358 78030 78732 82620 83521 86700 88155 88434 93636 97950 98260 98415 99909 103275 105786 109350 111010 111537 117045 117540 118098 122825 123930 130050 131220 132651 133212 137700 140454 146925 147390 148716 156060 158679 164025 166515 167042 176310 176868 185895 188717 195075 195900 196830 199818 206550 210681 211572 218700 221085 222020 223074 234090 236196 245650 247860 250563 260100 264465 265302 277525 280908 293850 294780 295245 299727 309825 317358 328050 333030 334084 334611 351135 352620 368475 371790 377434 390150 393660 397953 399636 413100 417605 421362 426409 440775 442170 446148 468180 476037 491300 492075 499545 501126 528930 530604 555050 557685 566151 585225 587700 590490 599454 619650 632043 634716 656100 663255 666060 669222 702270 736950 743580 751689 754868 780300 793395 795906 832575 835210 842724 852818 881550 884340 899181 929475 943585 952074 984150 999090 1002252 1003833 1053405 1057860 1105425 1110100 1115370 1132302 1170450 1180980 1193859 1198908 1239300 1252815 1264086 1279227 1322325 1326510 1338444 1404540 1428111 1473900 1476225 1498635 1503378 1586790 1591812 1665150 1670420 1673055 1698453 1705636 1755675 1763100 1798362 1858950 1887170 1896129 1904148 1968300 1989765 1998180 2007666 2088025 2106810 2132045 2210850 2230740 2255067 2264604 2340900 2380185 2387718 2497725 2505630 2528172 2558454 2644650 2653020 2697543 2788425 2830755 2856222 2952450 2997270 3006756 3160215 3173580 3208189 3316275 3330300 3346110 3396906 3511350 3581577 3596724 3717900 3758445 3774340 3792258 3837681 3966975 3979530 4015332 4176050 4213620 4264090 4284333 4421700 4495905 4510134 4717925 4760370 4775436 4995450 5011260 5019165 5095359 5116908 5267025 5289300 5395086 5576850 5661510 5688387 5712444 5904900 5969295 5994540 6264075 6320430 6396135 6416378 6632550 6692220 6765201 6793812 7022700 7140555 7163154 7248953 7493175 7516890 7584516 7675362 7933950 7959060 8092629 8352100 8365275 8492265 8528180 8568666 8991810 9020268 9435850 9480645 9520740 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369360179091270 372683142640188 389440250083215 391087248449580 410400198990300 411047583794325 412348500088110 418608202970106 432711388981350 443232214909524 458165000097900 465120225522340 465853928300235 467328300099858 488859060561975 494818200105732 517615475889150 519253666777620 527967785406933 548063445059100 554040268636905 559024713960282 581400281902925 586630872674370 615600298485450 618522750132165 621138571066980 627912304455159 649067083472025 651812080749300 664848322364286 687247500146850 697680338283510 700992450149787 703957047209244 727673823684900 738720358182540 776423213833725 778880500166430 822095167588650 824697000176220 837216405940212 865422777962700 879946309011555 923400447728175 931707856600470 934656600199716 977718121123950 997272483546429 1030871250220275 1035230951778300 1046520507425265 1055935570813866 1108080537273810 1118049427920564 1162800563805850 1168320750249645 1173261745348740 1231200596970900 1237045500264330 1255824608910318 1298134166944050 1329696644728572 1374495000293700 1395360676567020 1397561784900705 1401984900299574 1466577181685925 1552846427667450 1557761000332860 1583903356220799 1644190335177300 1662120805910715 1744200845708775 1759892618023110 1846800895456350 1863415713200940 1883736913365477 1947201250416075 1955436242247900 1994544967092858 2061742500440550 2093041014850530 2102977350449361 2111871141627732 2216161074547620 2325601127611700 2329269641501175 2336641500499290 2474091000528660 2511649217820636 2596268333888100 2639838927034665 2770201343184525 2795123569801410 2803969800599148 2933154363371850 2991817450639287 3092613750660825 3105692855334900 3139561522275795 3167806712441598 3324241611821430 3488401691417550 3504962250748935 3519785236046220 3693601790912700 3767473826730954 3894402500832150 3989089934185716 4123485000881100 4186082029701060 4205954700898722 4399731545057775 4658539283002350 4673283000998580 4751710068662397 4986362417732145 5232602537126325 5279677854069330 5540402686369050 5590247139602820 5651210740096431 5841603751248225 5866308726743700 5983634901278574 6185227501321650 6279123044551590 6335613424883196 6648483223642860 6976803382835100 6987808924503525 7009924501497870 7534947653461908 7788805001664300 7919516781103995 8310604029553575 8411909401797444 8799463090115550 8975452351917861 9317078566004700 9418684566827385 9503420137324794 9972724835464290 10465205074252650 10514886752246805 10559355708138660 11080805372738100 11302421480192862 11683207502496450 11967269802557148 12370455002643300 12558246089103180 13199194635173325 13975617849007050 14019849002995740 14959087253196435 15697807611378975 15839033562207990 16621208059107150 16953632220289293 17524811253744675 17598926180231100 17950904703835722 18837369133654770 19006840274649588 19945449670928580 20930410148505300 21029773504493610 22604842960385724 23366415004992900 23758550343311985 24931812088660725 26398389270346650 26926357055753583 27951235698014100 28256053700482155 29918174506392870 31395615222757950 31678067124415980 33242416118214300 33907264440578586 35049622507489350 35901809407671444 37674738267309540 39597583905519975 42059547008987220 44877261759589305 47093422834136925 47517100686623970 49863624177321450 50860896660867879 52574433761234025 52796778540693300 53852714111507166 56512107400964310 59836349012785740 62791230445515900 67814528881157172 70099245014978700 74795436265982175 79195167811039950 80779071167260749 84768161101446465 89754523519178610 94186845668273850 95034201373247940 99727248354642900 101721793321735758 105148867522468050 107705428223014332 113024214801928620 118792751716559925 134631785278767915 141280268502410775 149590872531964350 152582689982603637 158390335622079900 161558142334521498 169536322202892930 179509047038357220 188373691336547700 203443586643471516 210297735044936100 224386308797946525 237585503433119850 254304483304339395 269263570557535830 282560537004821550 299181745063928700 305165379965207274 323116284669042996 339072644405785860 403895355836303745 423840805507232325 448772617595893050 457748069947810911 475171006866239700 508608966608678790 538527141115071660 565121074009643100 610330759930414548 673158926393839575 762913449913018185 807790711672607490 847681611014464650 897545235191786100 915496139895621822 1017217933217357580 1271522416521696975 1346317852787679150 1373244209843432733 1525826899826036370 1615581423345214980 1695363222028929300 1830992279791243644 2019476779181518725 2288740349739054555 2543044833043393950 2692635705575358300 2746488419686865466 3051653799652072740 3814567249565090925 4038953558363037450 4577480699478109110 5086089666086787900 5492976839373730932 6866221049217163665 7629134499130181850 8077907116726074900 9154961398956218220 11443701748695272775 13732442098434327330 15258268998260363700 22887403497390545550 27464884196868654660 34331105246085818325 45774806994781091100 68662210492171636650 137324420984343273300
- Sum of all divisors σ(n): 475653324166591127340
- Sum of proper divisors (its aliquot sum) s(n): 338328903182247854040
- 137324420984343273300 is an abundant number, because the sum of its proper divisors (338328903182247854040) is greater than itself. Its abundance is 201004482197904580740
Bases of 137324420984343273300
- Binary: 11101110001110000100101100101001111001011011111101010011111010101002
- Hexadecimal: 0x771C2594F2DFA9F54
- Base-36: SZBR8IGFATT90
Squares and roots of 137324420984343273300
- 137324420984343273300 squared (1373244209843432733002) is 18857996598685139142579651690958492890000
- 137324420984343273300 cubed (1373244209843432733003) is 2589663463839151595204044311935704031645336705777376837000000
-
The
square root of 137324420984343273300 is 11718550293.6303206063 -
The
cube root of 137324420984343273300 is 5159202.7114843647
Scales and comparisons
How big is 137324420984343273300?- 137,324,420,984,343,273,300 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,324,420,984,343,273,300 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137324420984343273300 cubic inches would be around 429933.6 feet tall.
Recreational maths with 137324420984343273300
- 137324420984343273300 backwards is 003372343489024423731
- The number of decimal digits it has is: 21
- The sum of 137324420984343273300's digits is 72
- More coming soon!
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"Number 137324420984343273300 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 137324420984343273300 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/137324420984343273300/
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Numbermatics. 2024. "Number 137324420984343273300 - Facts about the integer". https://numbermatics.com/n/137324420984343273300/
The information we have on file for 137324420984343273300 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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