137631516506193920
137,631,516,506,193,920 is an even composite number composed of five prime numbers multiplied together.
137631516506193920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-two divisors.
Prime factorization of 137631516506193920:
222 × 5 × 72 × 712 × 1632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 71 × 71 × 163 × 163)See below for interesting mathematical facts about the number 137631516506193920 from the Numbermatics database.
Names of 137631516506193920
- Cardinal: 137631516506193920 can be written as One hundred thirty-seven quadrillion, six hundred thirty-one trillion, five hundred sixteen billion, five hundred six million, one hundred ninety-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3763151650619392 × 1017
Factors of 137631516506193920
Divisors of 137631516506193920
- Number of divisors d(n): 1242
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 71 80 98 112 128 140 142 160 163 196 224 245 256 280 284 320 326 355 392 448 490 497 512 560 568 640 652 710 784 815 896 980 994 1024 1120 1136 1141 1280 1304 1420 1568 1630 1792 1960 1988 2048 2240 2272 2282 2485 2560 2608 2840 3136 3260 3479 3584 3920 3976 4096 4480 4544 4564 4970 5041 5120 5216 5680 5705 6272 6520 6958 7168 7840 7952 7987 8192 8960 9088 9128 9940 10082 10240 10432 11360 11410 11573 12544 13040 13916 14336 15680 15904 15974 16384 17395 17920 18176 18256 19880 20164 20480 20864 22720 22820 23146 25088 25205 26080 26569 27832 28672 31360 31808 31948 32768 34790 35287 35840 36352 36512 39760 39935 40328 40960 41728 45440 45640 46292 50176 50410 52160 53138 55664 57344 57865 62720 63616 63896 65536 69580 70574 71680 72704 73024 79520 79870 80656 81011 81920 83456 90880 91280 92584 100352 100820 104320 106276 111328 114688 115730 125440 127232 127792 131072 132845 139160 141148 143360 145408 146048 159040 159740 161312 162022 163840 166912 176435 181760 182560 185168 185983 200704 201640 208640 212552 222656 229376 231460 247009 250880 254464 255584 262144 265690 278320 282296 286720 290816 292096 318080 319480 322624 324044 327680 333824 352870 363520 365120 370336 371966 401408 403280 405055 417280 425104 445312 458752 462920 494018 501760 508928 511168 524288 531380 556640 564592 567077 573440 581632 584192 636160 638960 645248 648088 655360 667648 705740 727040 730240 740672 743932 802816 806560 810110 821683 834560 850208 890624 917504 925840 929915 988036 1003520 1017856 1022336 1048576 1062760 1113280 1129184 1134154 1146880 1163264 1168384 1235045 1272320 1277920 1290496 1296176 1301881 1310720 1335296 1411480 1454080 1460480 1481344 1487864 1605632 1613120 1620220 1643366 1669120 1700416 1781248 1835008 1851680 1859830 1886399 1976072 2007040 2035712 2044672 2097152 2125520 2226560 2258368 2268308 2293760 2326528 2336768 2470090 2544640 2555840 2580992 2592352 2603762 2621440 2670592 2822960 2835385 2908160 2920960 2962688 2975728 3211264 3226240 3240440 3286732 3338240 3400832 3562496 3670016 3703360 3719660 3772798 3952144 4014080 4071424 4089344 4108415 4194304 4251040 4453120 4516736 4536616 4587520 4653056 4673536 4940180 5089280 5111680 5161984 5184704 5207524 5242880 5341184 5645920 5670770 5751781 5816320 5841920 5925376 5951456 6422528 6452480 6480880 6509405 6573464 6676480 6801664 7124992 7340032 7406720 7439320 7545596 7904288 8028160 8142848 8178688 8216830 8502080 8906240 9033472 9073232 9175040 9306112 9347072 9431995 9880360 10178560 10223360 10323968 10369408 10415048 10485760 10682368 11291840 11341540 11503562 11632640 11683840 11850752 11902912 12845056 12904960 12961760 13018810 13146928 13204793 13352960 13603328 14249984 14680064 14813440 14878640 15091192 15808576 16056320 16285696 16357376 16433660 17004160 17812480 18066944 18146464 18350080 18612224 18694144 18863990 19760720 20357120 20446720 20647936 20738816 20830096 20971520 21364736 22583680 22683080 23007124 23265280 23367680 23701504 23805824 25690112 25809920 25923520 26037620 26293856 26409586 26705920 27206656 28499968 28758905 29360128 29626880 29757280 30182384 31617152 32112640 32571392 32714752 32867320 34008320 35624960 36133888 36292928 36700160 37224448 37388288 37727980 39521440 40262467 40714240 40893440 41295872 41477632 41660192 42729472 45167360 45366160 46014248 46530560 46735360 47403008 47611648 51380224 51619840 51847040 52075240 52587712 52819172 53411840 54413312 56999936 57517810 59253760 59514560 60364768 63234304 64225280 65142784 65429504 65734640 66023965 68016640 71249920 72267776 72585856 73400320 74448896 74776576 75455960 79042880 80524934 81428480 81786880 82591744 82955264 83320384 85458944 90334720 90732320 92028496 92433551 93061120 93470720 94806016 95223296 102760448 103239680 103694080 104150480 105175424 105638344 106823680 108826624 113999872 115035620 118507520 119029120 120729536 126468608 128450560 130285568 130859008 131469280 132047930 133934329 136033280 142499840 144535552 145171712 146800640 148897792 149553152 150911920 158085760 161049868 162856960 163573760 165183488 165910528 166640768 170917888 180669440 181464640 184056992 184867102 186122240 186941440 189612032 190446592 201312335 205520896 206479360 207388160 208300960 210350848 211276688 213647360 217653248 227999744 230071240 237015040 238058240 241459072 252937216 256901120 260571136 261718016 262938560 264095860 267868658 272066560 284999680 289071104 290343424 297795584 299106304 301823840 316171520 322099736 325713920 327147520 330366976 331821056 333281536 341835776 361338880 362929280 368113984 369734204 372244480 373882880 379224064 380893184 402624670 412958720 414776320 416601920 420701696 422553376 427294720 435306496 455999488 460142480 462167755 474030080 476116480 482918144 505874432 513802240 521142272 523436032 525877120 528191720 535737316 544133120 569999360 578142208 580686848 598212608 603647680 632343040 644199472 651427840 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12188581888 12883989440 13125564242 13214679040 13272842240 13331261440 13462454272 13521708032 13929807872 14591983616 14724559360 14789368160 15000644848 15168962560 15235727360 15453380608 16187981824 16749953024 16828067840 16902135040 17143594112 17412259840 18239979520 18500550656 18581979136 18750806060 19316725760 20234977280 20614383104 20937441280 21143486464 21236547584 21330018304 21429492640 23125688320 23227473920 23559294976 23662989056 23928504320 24270340096 24377163776 25767978880 26251128484 26429358080 26545684480 26662522880 26924908544 27043416064 27859615744 29449118720 29578736320 30001289696 30337925120 30471454720 30906761216 32375963648 32813910605 33499906048 33656135680 33804270080 34287188224 34824519680 36479959040 37001101312 37163958272 37501612120 38633451520 40469954560 41228766208 41874882560 42473095168 42660036608 42858985280 46251376640 46454947840 47118589952 47325978112 48540680192 48754327552 51535957760 52502256968 52858716160 53091368960 53325045760 53849817088 54086832128 55719231488 58898237440 59157472640 60002579392 60675850240 60942909440 61813522432 64751927296 65627821210 67312271360 67608540160 68574376448 69649039360 72959918080 74002202624 74327916544 75003224240 77266903040 80939909120 82457532416 83749765120 84946190336 85320073216 85717970560 92502753280 92909895680 94237179904 94651956224 97508655104 103071915520 105004513936 105717432320 106182737920 106650091520 107699634176 108173664256 111438462976 117796474880 118314945280 120005158784 121351700480 121885818880 123627044864 129503854592 131255642420 134624542720 135217080320 137148752896 139298078720 148004405248 148655833088 150006448480 154533806080 161879818240 164915064832 167499530240 169892380672 170640146432 171435941120 185005506560 185819791360 188474359808 189303912448 195017310208 206143831040 210009027872 212365475840 213300183040 215399268352 216347328512 235592949760 236629890560 240010317568 242703400960 243771637760 247254089728 259007709184 262511284840 269249085440 270434160640 274297505792 278596157440 297311666176 300012896960 309067612160 323759636480 329830129664 339784761344 341280292864 342871882240 370011013120 371639582720 376948719616 378607824896 390034620416 412287662080 420018055744 424730951680 426600366080 430798536704 432694657024 471185899520 473259781120 480020635136 487543275520 494508179456 518015418368 525022569680 538498170880 540868321280 548595011584 557192314880 594623332352 600025793920 618135224320 647519272960 659660259328 682560585728 685743764480 740022026240 743279165440 753897439232 757215649792 780069240832 824575324160 840036111488 849461903360 853200732160 861597073408 865389314048 942371799040 946519562240 960041270272 975086551040 989016358912 1036030836736 1050045139360 1076996341760 1081736642560 1097190023168 1189246664704 1200051587840 1236270448640 1295038545920 1319320518656 1365121171456 1371487528960 1486558330880 1507794878464 1514431299584 1649150648320 1680072222976 1698923806720 1706401464320 1723194146816 1730778628096 1884743598080 1893039124480 1920082540544 1950173102080 1978032717824 2100090278720 2153992683520 2163473285120 2194380046336 2378493329408 2400103175680 2472540897280 2590077091840 2638641037312 2730242342912 2742975057920 2973116661760 3015589756928 3028862599168 3298301296640 3360144445952 3412802928640 3446388293632 3461557256192 3769487196160 3786078248960 3840165081088 3900346204160 3956065435648 4200180557440 4307985367040 4326946570240 4388760092672 4800206351360 4945081794560 5180154183680 5277282074624 5460484685824 5485950115840 5946233323520 6031179513856 6057725198336 6596602593280 6720288891904 6825605857280 6923114512384 7538974392320 7572156497920 7680330162176 7912130871296 8400361114880 8615970734080 8653893140480 8777520185344 9600412702720 9890163589120 10554564149248 10971900231680 11892466647040 12062359027712 12115450396672 13193205186560 13440577783808 13651211714560 13846229024768 15077948784640 15144312995840 15360660324352 16800722229760 17231941468160 17307786280960 17555040370688 19200825405440 19780327178240 21109128298496 21943800463360 24124718055424 24230900793344 26386410373120 26881155567616 27302423429120 27692458049536 30155897569280 30288625991680 30721320648704 33601444459520 34615572561920 35110080741376 38401650810880 39560654356480 42218256596992 43887600926720 48461801586688 52772820746240 53762311135232 55384916099072 60311795138560 60577251983360 61442641297408 67202888919040 69231145123840 70220161482752 76803301621760 84436513193984 87775201853440 96923603173376 105545641492480 107524622270464 120623590277120 121154503966720 122885282594816 134405777838080 138462290247680 140440322965504 153606603243520 168873026387968 175550403706880 193847206346752 211091282984960 215049244540928 242309007933440 245770565189632 268811555676160 276924580495360 280880645931008 307213206487040 351100807413760 387694412693504 422182565969920 430098489081856 484618015866880 491541130379264 537623111352320 561761291862016 614426412974080 702201614827520 844365131939840 860196978163712 969236031733760 983082260758528 1075246222704640 1228852825948160 1404403229655040 1720393956327424 1938472063467520 1966164521517056 2150492445409280 2457705651896320 2808806459310080 3440787912654848 3932329043034112 4300984890818560 4915411303792640 6881575825309696 8601969781637120 9830822607585280 13763151650619392 17203939563274240 19661645215170560 27526303301238784 34407879126548480 68815758253096960 137631516506193920
- Sum of all divisors σ(n): 392138466066969426
- Sum of proper divisors (its aliquot sum) s(n): 254506949560775506
- 137631516506193920 is an abundant number, because the sum of its proper divisors (254506949560775506) is greater than itself. Its abundance is 116875433054581586
Bases of 137631516506193920
- Binary: 1111010001111011100100010100100110100000000000000000000002
- Hexadecimal: 0x1E8F72293400000
- Base-36: 11N6ATTNC54W
Squares and roots of 137631516506193920
- 137631516506193920 squared (1376315165061939202) is 18942434335794729455397724644966400
- 137631516506193920 cubed (1376315165061939203) is 2607075963954426770534773644204526798178550284288000
-
The
square root of 137631516506193920 is 370987218.7908822285 -
The
cube root of 137631516506193920 is 516304.5651372889
Scales and comparisons
How big is 137631516506193920?- 137,631,516,506,193,920 seconds is equal to 4,376,256,502 years, 34 weeks, 3 days, 20 hours, 5 minutes, 20 seconds.
-
To count from 1 to 137,631,516,506,193,920 would take you about thirteen billion, one hundred twenty-eight million, seven hundred sixty-nine thousand, five hundred seven 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 137631516506193920 cubic inches would be around 43025.4 feet tall.
Recreational maths with 137631516506193920
- 137631516506193920 backwards is 029391605615136731
- The number of decimal digits it has is: 18
- The sum of 137631516506193920's digits is 68
- More coming soon!
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"Number 137631516506193920 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 137631516506193920 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/137631516506193920/
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The information we have on file for 137631516506193920 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!
Keywords: Divisors of 137631516506193920, math, Factors of 137631516506193920, curriculum, school, college, exams, university, Prime factorization of 137631516506193920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, six hundred thirty-one trillion, five hundred sixteen billion, five hundred six million, one hundred ninety-three thousand, nine hundred twenty.