137992391404993125
137,992,391,404,993,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137992391404993125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
137992391404993125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 137992391404993125:
32 × 54 × 72 × 113 × 13 × 3073
(3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 13 × 307 × 307 × 307)See below for interesting mathematical facts about the number 137992391404993125 from the Numbermatics database.
Names of 137992391404993125
- Cardinal: 137992391404993125 can be written as One hundred thirty-seven quadrillion, nine hundred ninety-two trillion, three hundred ninety-one billion, four hundred four million, nine hundred ninety-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.37992391404993125 × 1017
Factors of 137992391404993125
Divisors of 137992391404993125
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 3 5 7 9 11 13 15 21 25 33 35 39 45 49 55 63 65 75 77 91 99 105 117 121 125 143 147 165 175 195 225 231 245 273 275 307 315 325 363 375 385 429 441 455 495 525 539 585 605 625 637 693 715 735 819 825 847 875 921 975 1001 1089 1125 1155 1225 1287 1331 1365 1375 1535 1573 1575 1617 1625 1815 1875 1911 1925 2145 2149 2205 2275 2475 2541 2625 2695 2763 2925 3003 3025 3185 3377 3465 3575 3675 3991 3993 4095 4125 4235 4375 4605 4719 4851 4875 5005 5445 5625 5733 5775 5929 6125 6435 6447 6655 6825 6875 7007 7623 7675 7865 7875 8085 8125 9009 9075 9317 9555 9625 10131 10725 10745 11011 11025 11375 11973 11979 12375 12705 13125 13475 13815 14157 14625 15015 15043 15125 15925 16885 17303 17325 17787 17875 18375 19341 19955 19965 20475 20625 21021 21175 23025 23595 23639 24255 24375 25025 27225 27937 27951 28665 28875 29645 30393 30625 32175 32235 33033 33275 34125 35035 35919 37147 38115 38375 39325 39375 40425 43901 45045 45129 45375 46585 47775 48125 50655 51909 53361 53625 53725 55055 55125 56875 59865 59895 61875 63063 63525 65219 67375 69075 70785 70917 73125 75075 75215 75625 77077 79625 83811 83853 84425 86515 86625 88935 89375 91875 94249 96705 99099 99775 99825 102375 105105 105875 111441 115125 117975 118195 121121 121275 125125 131703 135387 136125 139685 139755 143325 144375 148225 151965 155727 160875 161175 165165 165473 166375 170625 175175 179595 185735 190575 191875 195559 195657 196625 202125 212751 219505 225225 225645 226875 231231 232925 238875 251433 253275 259545 260029 266805 268125 268625 275275 275625 282747 299325 299475 307307 315315 317625 326095 334323 336875 345375 353925 354585 363363 375375 376075 385385 395109 398125 408617 419055 419265 422125 432575 433125 444675 471245 482911 483525 495495 496419 498875 499125 511875 525525 529375 557205 575625 586677 586971 589875 590975 605605 606375 625625 658515 659743 676935 680625 693693 698425 698775 716625 741125 759825 778635 780087 804375 805875 825825 827365 831875 847847 848241 875875 897975 921921 928675 952875 977795 978285 983125 1010625 1036739 1063755 1090089 1097525 1126125 1128225 1156155 1164625 1194375 1225237 1225851 1257165 1266375 1297725 1300145 1334025 1343125 1376375 1413735 1448733 1489257 1496625 1497375 1536535 1576575 1588125 1630475 1671615 1726875 1760031 1769625 1772925 1816815 1820203 1876875 1880375 1926925 1975545 1979229 2043085 2095275 2096325 2110625 2151149 2162875 2223375 2340261 2356225 2414555 2417625 2477475 2482095 2494375 2495625 2543541 2627625 2765763 2786025 2860319 2933385 2934855 2949375 2954875 3028025 3031875 3110217 3292575 3298715 3380377 3384675 3468465 3492125 3493875 3583125 3675711 3677553 3705625 3799125 3893175 3900435 4029375 4129125 4136825 4239235 4241205 4346199 4379375 4489875 4609605 4618201 4643375 4764375 4888975 4891425 5183695 5312021 5318775 5450445 5460609 5487625 5630625 5641125 5780775 5823125 5937687 6126185 6129255 6285825 6331875 6453447 6488625 6500725 6670125 6881875 7068675 7243665 7257173 7446285 7483125 7486875 7630623 7682675 7882875 8152375 8358075 8576659 8580957 8800155 8848125 8864625 9084075 9101015 9330651 9401875 9634625 9877725 9896145 10141131 10215425 10476375 10481625 10755745 10814375 11027133 11116875 11404129 11701305 11781125 12072775 12088125 12387375 12410475 12717705 13138125 13477607 13828815 13854603 13930125 14301595 14666925 14674275 14774375 15140125 15551085 15936063 16381827 16462875 16493575 16901885 16923375 17342325 17460625 17469375 18378555 18387765 18995625 19360341 19465875 19502175 20022233 20645625 20684125 21196175 21206025 21730995 21771519 22449375 23048025 23091005 23216875 23662639 24444875 24457125 25729977 25742871 25918475 26560105 26593875 27252225 27303045 27438125 28205625 28903875 28934443 29688435 30423393 30630925 30646275 31429125 32267235 32443125 32503625 33350625 34212387 35343375 36218325 36285865 37184147 37231425 38153115 38413375 39414375 40432821 40761875 41563809 41790375 42883295 42904785 44000775 44323125 45420375 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246943125 247403625 253528275 254001055 255385625 260289029 260409987 268893625 275678325 283029747 285103225 292532625 300183065 300333495 301819375 310261875 317942625 318278873 326572785 334657323 336940175 345720375 346365075 354939585 357539875 366673125 366856875 376147759 376336257 385949655 388777125 398401575 399144515 409545675 412339375 422547125 433558125 434016645 444761031 457201899 459463875 459694125 471716245 484008525 487554375 500555825 513185805 529904375 530150625 540329517 543274875 544287975 557762205 558802321 576200625 577275125 591565975 606492315 607623303 627227095 643249425 643571775 647961875 660402743 664002625 681305625 682576125 718460127 723361075 741268385 742210875 760584825 762003165 765773125 766156875 780867087 806680875 849089241 855309675 878117933 900549195 901000485 905458125 907146625 929603675 930785625 953827875 954836619 1010820525 1012705505 1037775739 1039095225 1064818755 1072082375 1072619625 1100019375 1128443277 1129008771 1137626875 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310321901175 318597151873 319002234075 326899357785 329129289125 329294224875 337705948125 346605692697 349251450625 358063732125 366927850575 367612098315 379764564375 389165902125 389891619425 399543659515 409624909551 412751714375 423166228875 434450661645 437633450375 449037579375 460781004775 461011914825 488041929375 500652667229 501289224975 513698990805 514656937641 517203168625 530680775625 531670390125 544832262975 548823708125 577676154495 592432720425 596772886875 608230926303 611546417625 612686830525 628652611125 648609836875 682708182585 701804914965 705277048125 705630481875 719178587127 724084436075 742953085875 768353191375 787740210675 808746616293 829405808595 833926933125 835482041625 856164984675 857761562735 886117316875 908053771625 930965703525 955791455619 962793590825 987387867375 987882674625 1013718210505 1019244029375 1047754351875 1102836294945 1137846970975 1139293693125 1167497706375 1169674858275 1198630978545 1238255143125 1303351984935 1312900351125 1347911027155 1382343014325 1383035744475 1392470069375 1426941641125 1464125788125 1501958001687 1543970812923 1551609505875 1592985759365 1595011170375 1634496788925 1645646445625 1646471124375 1733028463485 1790318660625 1824692778909 1834639252875 1838060491575 1887075438017 1945829510625 1949458097125 1997718297575 2048124547755 2115831144375 2172253308225 2188167251875 2230180063111 2303905023875 2305059574125 2426239848879 2503263336145 2506446124875 2568494954025 2573284688205 2586015843125 2658351950625 2724161314875 2867374366857 2888380772475 2962163602125 3041154631515 3057732088125 3063434152625 3143263055625 3413540912925 3504568670603 3509024574825 3595892935635 3620422180375 3714765429375 3841765956875 3938701053375 4043733081465 4147029042975 4177410208125 4280824923375 4288807813675 4505874005061 4540268858125 4654828517625 4778957278095 4813967954125 4936939336875 4939413373125 5068591052525 5514181474725 5661226314051 5689234854875 5837488531875 5848374291375 5993154892725 6516759924675 6564501755625 6690540189333 6739555135775 6911715071625 6915178722375 7134708205625 7509790008435 7719854064615 7758047529375 7964928796825 7975055851875 8172483944625 8665142317425 9123463894545 9173196264375 9190302457875 9435377190085 9747290485625 9988591487875 10240622738775 10513706011809 10861266541125 11150900315555 11519525119375 11525297870625 12131199244395 12516316680725 12532230624375 12842474770125 12866423441025 13620806574375 14336871834285 14441903862375 14810818010625 15205773157575 15317170763125 16983678942153 17067704564625 17522843353015 17545122874125 17979464678175 18102110901875 19693505266875 20071620567999 20218665407325 20735145214875 21404124616875 21444039068375 22529370025305 23274142588125 23894786390475 24069839770625 24531980694221 25342955262625 27570907373625 28306131570255 28446174274375 29241871456875 29965774463625 31541118035427 32583799623375 33452700946665 33697775678875 34558575358125 34575893611875 37548950042175 38599270323075 39824643984125 40862419723125 43325711587125 45617319472725 45951512289375 47176885950425 49942957439375 51203113693875 52568530059045 54306332705625 55754501577775 60655996221975 62581583403625 64212373850625 64332117205125 71684359171425 72209519311875 73595942082663 76028865787875 84918394710765 85338522823125 87614216765075 87725614370625 89897323390875 100358102839995 101093327036625 103675726074375 107220195341875 112646850126525 119473931952375 122659903471105 126714776313125 137854536868125 141530657851275 149828872318125 157705590177135 162918998116875 167263504733325 168488878394375 187744750210875 192996351615375 199123219920625 216628557935625 220787826247989 228086597363625 235884429752125 256015568469375 262842650295225 278772507888875 303279981109875 312907917018125 321660586025625 358421795857125 367979710413315 380144328939375 424591973553825 438071083825375 449486616954375 501790514199975 505466635183125 563234250632625 597369659761875 613299517355525 707653289256375 788527950885675 836317523666625 938723751054375 964981758076875 1103939131239945 1140432986818125 1179422148760625 1314213251476125 1393862539444375 1516399905549375 1792108979285625 1839898552066575 2122959867769125 2190355419126875 2508952570999875 2816171253163125 3066497586777625 3538266446281875 3942639754428375 4181587618333125 5519695656199725 6571066257380625 9199492760332875 10614799338845625 12544762854999375 15332487933888125 19713198772141875 27598478280998625 45997463801664375 137992391404993125
- Sum of all divisors σ(n): 344326485366864000
- Sum of proper divisors (its aliquot sum) s(n): 206334093961870875
- 137992391404993125 is an abundant number, because the sum of its proper divisors (206334093961870875) is greater than itself. Its abundance is 68341702556877750
Bases of 137992391404993125
- Binary: 1111010100011111101011001010011110110011010111010011001012
- Hexadecimal: 0x1EA3F594F66BA65
- Base-36: 11QQ7XGOKGV9
Squares and roots of 137992391404993125
- 137992391404993125 squared (1379923914049931252) is 19041900085668820478643181297265625
- 137992391404993125 cubed (1379923914049931253) is 2627637329716383993630520343765863109380534423828125
-
The
square root of 137992391404993125 is 371473271.4543445117 -
The
cube root of 137992391404993125 is 516755.4278274427
Scales and comparisons
How big is 137992391404993125?- 137,992,391,404,993,125 seconds is equal to 4,387,731,208 years, 9 weeks, 5 days, 18 minutes, 45 seconds.
-
To count from 1 to 137,992,391,404,993,125 would take you about thirteen billion, one hundred sixty-three million, one hundred ninety-three thousand, six hundred twenty-four 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 137992391404993125 cubic inches would be around 43063 feet tall.
Recreational maths with 137992391404993125
- 137992391404993125 backwards is 521399404193299731
- The number of decimal digits it has is: 18
- The sum of 137992391404993125's digits is 81
- More coming soon!
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"Number 137992391404993125 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 137992391404993125 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/137992391404993125/
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The information we have on file for 137992391404993125 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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