137744822689904640
137,744,822,689,904,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137744822689904640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
137744822689904640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137744822689904640:
211 × 3 × 5 × 7 × 17 × 23 × 1638246601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 23 × 1638246601)See below for interesting mathematical facts about the number 137744822689904640 from the Numbermatics database.
Names of 137744822689904640
- Cardinal: 137744822689904640 can be written as One hundred thirty-seven quadrillion, seven hundred forty-four trillion, eight hundred twenty-two billion, six hundred eighty-nine million, nine hundred four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3774482268990464 × 1017
Factors of 137744822689904640
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 1638246658
Divisors of 137744822689904640
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 23 24 28 30 32 34 35 40 42 46 48 51 56 60 64 68 69 70 80 84 85 92 96 102 105 112 115 119 120 128 136 138 140 160 161 168 170 184 192 204 210 224 230 238 240 255 256 272 276 280 320 322 336 340 345 357 368 384 391 408 420 448 460 476 480 483 510 512 544 552 560 595 640 644 672 680 690 714 736 768 782 805 816 840 896 920 952 960 966 1020 1024 1088 1104 1120 1173 1190 1280 1288 1344 1360 1380 1428 1472 1536 1564 1610 1632 1680 1785 1792 1840 1904 1920 1932 1955 2040 2048 2176 2208 2240 2346 2380 2415 2560 2576 2688 2720 2737 2760 2856 2944 3072 3128 3220 3264 3360 3570 3584 3680 3808 3840 3864 3910 4080 4352 4416 4480 4692 4760 4830 5120 5152 5376 5440 5474 5520 5712 5865 5888 6144 6256 6440 6528 6720 7140 7168 7360 7616 7680 7728 7820 8160 8211 8704 8832 8960 9384 9520 9660 10240 10304 10752 10880 10948 11040 11424 11730 11776 12512 12880 13056 13440 13685 14280 14336 14720 15232 15360 15456 15640 16320 16422 17408 17664 17920 18768 19040 19320 20608 21504 21760 21896 22080 22848 23460 23552 25024 25760 26112 26880 27370 28560 29440 30464 30720 30912 31280 32640 32844 34816 35328 35840 37536 38080 38640 41055 41216 43008 43520 43792 44160 45696 46920 47104 50048 51520 52224 53760 54740 57120 58880 60928 61824 62560 65280 65688 70656 71680 75072 76160 77280 82110 82432 87040 87584 88320 91392 93840 100096 103040 104448 107520 109480 114240 117760 121856 123648 125120 130560 131376 141312 150144 152320 154560 164220 164864 174080 175168 176640 182784 187680 200192 206080 215040 218960 228480 235520 243712 247296 250240 261120 262752 300288 304640 309120 328440 329728 350336 353280 365568 375360 400384 412160 437920 456960 494592 500480 522240 525504 600576 609280 618240 656880 700672 706560 731136 750720 800768 824320 875840 913920 989184 1000960 1051008 1201152 1218560 1236480 1313760 1401344 1501440 1648640 1751680 1827840 2001920 2102016 2402304 2472960 2627520 2802688 3002880 3503360 3655680 4003840 4204032 4945920 5255040 5605376 6005760 7006720 8408064 10510080 12011520 14013440 16816128 21020160 28026880 42040320 84080640 1638246601 3276493202 4914739803 6552986404 8191233005 9829479606 11467726207 13105972808 16382466010 19658959212 22935452414 24573699015 26211945616 27850192217 32764932020 34403178621 37679671823 39317918424 45870904828 49147398030 52423891232 55700384434 57338631035 65529864040 68806357242 75359343646 78635836848 83550576651 91741809656 98294796060 104847782464 111400768868 113039015469 114677262070 131059728080 137612714484 139250961085 150718687292 157271673696 167101153302 172015893105 183483619312 188398359115 194951345519 196589592120 209695564928 222801537736 226078030938 229354524140 262119456160 263757702761 275225428968 278501922170 301437374584 314543347392 334202306604 344031786210 366967238624 376796718230 389902691038 393179184240 417752883255 419391129856 445603075472 452156061876 458709048280 524238912320 527515405522 550450857936 557003844340 565195077345 584854036557 602874749168 629086694784 640554420991 668404613208 688063572420 733934477248 753593436460 779805382076 786358368480 791273108283 835505766510 838782259712 891206150944 904312123752 917418096560 974756727595 1048477824640 1055030811044 1100901715872 1114007688680 1130390154690 1169708073114 1205749498336 1258173389568 1281108841982 1318788513805 1336809226416 1376127144840 1467868954496 1507186872920 1559610764152 1572716736960 1582546216566 1671011533020 1677564519424 1782412301888 1808624247504 1834836193120 1921663262973 1949513455190 2096955649280 2110061622088 2201803431744 2228015377360 2260780309380 2339416146228 2411498996672 2516346779136 2562217683964 2637577027610 2673618452832 2752254289680 2924270182785 2935737908992 3014373745840 3119221528304 3145433473920 3165092433132 3202772104955 3342023066040 3355129038848 3564824603776 3617248495008 3669672386240 3843326525946 3899026910380 3956365541415 4193911298560 4220123244176 4403606863488 4456030754720 4483880946937 4521560618760 4678832292456 4822997993344 5032693558272 5124435367928 5275154055220 5347236905664 5504508579360 5848540365570 5871475817984 6028747491680 6238443056608 6290866947840 6330184866264 6405544209910 6684046132080 7129649207552 7234496990016 7339344772480 7686653051892 7798053820760 7912731082830 8387822597120 8440246488352 8807213726976 8912061509440 8967761893874 9043121237520 9357664584912 9608316314865 9645995986688 10065387116544 10248870735856 10550308110440 10694473811328 11009017158720 11697080731140 11742951635968 12057494983360 12476886113216 12581733895680 12660369732528 12811088419820 13368092264160 13451642840811 14259298415104 14468993980032 14678689544960 15373306103784 15596107641520 15825462165660 16775645194240 16880492976704 17614427453952 17824123018880 17935523787748 18086242475040 18715329169824 19216632629730 19291991973376 20497741471712 21100616220880 21388947622656 22018034317440 22419404734685 23394161462280 23485903271936 24114989966720 24953772226432 25163467791360 25320739465056 25622176839640 26736184528320 26903285681622 28518596830208 28937987960064 29357379089920 30746612207568 31192215283040 31650924331320 33760985953408 35228854907904 35648246037760 35871047575496 36172484950080 37430658339648 38433265259460 38583983946752 40995482943424 42201232441760 42777895245312 44036068634880 44838809469370 46788322924560 48229979933440 49907544452864 50326935582720 50641478930112 51244353679280 53472369056640 53806571363244 57037193660416 57875975920128 58714758179840 61493224415136 62384430566080 63301848662640 67258214204055 67521971906816 70457709815808 71296492075520 71742095150992 72344969900160 74861316679296 76866530518920 77167967893504 81990965886848 84402464883520 85555790490624 88072137269760 89677618938740 93576645849120 96459959866880 99815088905728 101282957860224 102488707358560 106944738113280 107613142726488 115751951840256 117429516359680 122986448830272 124768861132160 126603697325280 134516428408110 135043943813632 142592984151040 143484190301984 144689939800320 149722633358592 153733061037840 163981931773696 168804929767040 171111580981248 176144274539520 179355237877480 187153291698240 192919919733760 199630177811456 202565915720448 204977414717120 213889476226560 215226285452976 231503903680512 245972897660544 249537722264320 253207394650560 269032856816220 270087887627264 285185968302080 286968380603968 289379879600640 299445266717184 307466122075680 327963863547392 337609859534080 352288549079040 358710475754960 374306583396480 385839839467520 399260355622912 405131831440896 409954829434240 427778952453120 430452570905952 491945795321088 499075444528640 506414789301120 538065713632440 540175775254528 573936761207936 578759759201280 598890533434368 614932244151360 655927727094784 675219719068160 717420951509920 748613166792960 810263662881792 819909658868480 855557904906240 860905141811904 983891590642176 998150889057280 1012829578602240 1076131427264880 1147873522415872 1157519518402560 1197781066868736 1229864488302720 1311855454189568 1350439438136320 1434841903019840 1497226333585920 1620527325763584 1639819317736960 1721810283623808 1967783181284352 1996301778114560 2025659157204480 2152262854529760 2295747044831744 2459728976605440 2700878876272640 2869683806039680 2994452667171840 3279638635473920 3443620567247616 3935566362568704 4051318314408960 4304525709059520 4591494089663488 4919457953210880 5739367612079360 5988905334343680 6559277270947840 6887241134495232 8102636628817920 8609051418119040 9182988179326976 9838915906421760 11478735224158720 13774482268990464 17218102836238080 19677831812843520 22957470448317440 27548964537980928 34436205672476160 45914940896634880 68872411344952320 137744822689904640
- Sum of all divisors σ(n): 556439763609999360
- Sum of proper divisors (its aliquot sum) s(n): 418694940920094720
- 137744822689904640 is an abundant number, because the sum of its proper divisors (418694940920094720) is greater than itself. Its abundance is 280950118230190080
Bases of 137744822689904640
- Binary: 1111010010101111000101111101110100001010010111000000000002
- Hexadecimal: 0x1E95E2FBA14B800
- Base-36: 11OAGPYRN11C
Squares and roots of 137744822689904640
- 137744822689904640 squared (1377448226899046402) is 18973636177873268143516572293529600
- 137744822689904640 cubed (1377448226899046403) is 2613520151103913295773593728798635645932713017344000
-
The
square root of 137744822689904640 is 371139896.3866652803 -
The
cube root of 137744822689904640 is 516446.2101496909
Scales and comparisons
How big is 137744822689904640?- 137,744,822,689,904,640 seconds is equal to 4,379,859,288 years, 43 weeks, 3 hours, 44 minutes.
-
To count from 1 to 137,744,822,689,904,640 would take you about thirteen billion, one hundred thirty-nine million, five hundred seventy-seven thousand, eight hundred sixty-six 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 137744822689904640 cubic inches would be around 43037.2 feet tall.
Recreational maths with 137744822689904640
- 137744822689904640 backwards is 046409986228447731
- 137744822689904640 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137744822689904640's digits is 84
- More coming soon!
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The information we have on file for 137744822689904640 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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