137009193742761984
137,009,193,742,761,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 137009193742761984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
137009193742761984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137009193742761984:
226 × 32 × 7 × 23 × 11872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 23 × 1187 × 1187)See below for interesting mathematical facts about the number 137009193742761984 from the Numbermatics database.
Names of 137009193742761984
- Cardinal: 137009193742761984 can be written as One hundred thirty-seven quadrillion, nine trillion, one hundred ninety-three billion, seven hundred forty-two million, seven hundred sixty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.37009193742761984 × 1017
Factors of 137009193742761984
Divisors of 137009193742761984
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 64 69 72 84 92 96 112 126 128 138 144 161 168 184 192 207 224 252 256 276 288 322 336 368 384 414 448 483 504 512 552 576 644 672 736 768 828 896 966 1008 1024 1104 1152 1187 1288 1344 1449 1472 1536 1656 1792 1932 2016 2048 2208 2304 2374 2576 2688 2898 2944 3072 3312 3561 3584 3864 4032 4096 4416 4608 4748 5152 5376 5796 5888 6144 6624 7122 7168 7728 8064 8192 8309 8832 9216 9496 10304 10683 10752 11592 11776 12288 13248 14244 14336 15456 16128 16384 16618 17664 18432 18992 20608 21366 21504 23184 23552 24576 24927 26496 27301 28488 28672 30912 32256 32768 33236 35328 36864 37984 41216 42732 43008 46368 47104 49152 49854 52992 54602 56976 57344 61824 64512 65536 66472 70656 73728 74781 75968 81903 82432 85464 86016 92736 94208 98304 99708 105984 109204 113952 114688 123648 129024 131072 132944 141312 147456 149562 151936 163806 164864 170928 172032 185472 188416 191107 196608 199416 211968 218408 227904 229376 245709 247296 258048 262144 265888 282624 294912 299124 303872 327612 329728 341856 344064 370944 376832 382214 393216 398832 423936 436816 455808 458752 491418 494592 516096 524288 531776 565248 573321 589824 598248 607744 655224 659456 683712 688128 741888 753664 764428 786432 797664 847872 873632 911616 917504 982836 989184 1032192 1048576 1063552 1130496 1146642 1179648 1196496 1215488 1310448 1318912 1367424 1376256 1408969 1483776 1507328 1528856 1572864 1595328 1695744 1719963 1747264 1823232 1835008 1965672 1978368 2064384 2097152 2127104 2260992 2293284 2359296 2392992 2430976 2620896 2637824 2734848 2752512 2817938 2967552 3014656 3057712 3145728 3190656 3391488 3439926 3494528 3646464 3670016 3931344 3956736 4128768 4194304 4226907 4254208 4521984 4586568 4718592 4785984 4861952 5241792 5275648 5469696 5505024 5635876 5935104 6029312 6115424 6291456 6381312 6782976 6879852 6989056 7292928 7340032 7862688 7913472 8257536 8388608 8453814 8508416 9043968 9173136 9437184 9571968 9723904 9862783 10483584 10551296 10939392 11010048 11271752 11870208 12058624 12230848 12582912 12680721 12762624 13565952 13759704 13978112 14585856 14680064 15725376 15826944 16515072 16777216 16907628 17016832 18087936 18346272 18874368 19143936 19447808 19725566 20967168 21102592 21878784 22020096 22543504 23740416 24117248 24461696 25165824 25361442 25525248 27131904 27519408 27956224 29171712 29360128 29588349 31450752 31653888 32406287 33030144 33554432 33815256 34033664 36175872 36692544 37748736 38287872 38895616 39451132 41934336 42205184 43757568 44040192 45087008 47480832 48234496 48923392 50331648 50722884 51050496 54263808 55038816 55912448 58343424 58720256 59176698 62901504 63307776 64812574 66060288 67108864 67630512 68067328 72351744 73385088 75497472 76575744 77791232 78902264 83868672 84410368 87515136 88080384 88765047 90174016 94961664 96468992 97218861 97846784 100663296 101445768 102100992 108527616 110077632 111824896 116686848 117440512 118353396 125803008 126615552 129625148 132120576 135261024 136134656 144703488 146770176 150994944 153151488 155582464 157804528 167737344 168820736 175030272 176160768 177530094 180348032 189923328 192937984 194437722 195693568 201326592 202891536 204201984 217055232 220155264 223649792 226844009 233373696 234881024 236706792 251606016 253231104 259250296 264241152 270522048 272269312 289406976 291656583 293540352 301989888 306302976 311164928 315609056 335474688 337641472 350060544 352321536 355060188 360696064 379846656 385875968 388875444 391387136 405783072 408403968 434110464 440310528 447299584 453688018 466747392 469762048 473413584 503212032 506462208 518500592 528482304 541044096 544538624 578813952 583313166 587080704 603979776 612605952 622329856 631218112 670949376 675282944 680532027 700121088 704643072 710120376 721392128 759693312 771751936 777750888 782774272 811566144 816807936 868220928 880621056 894599168 907376036 933494784 946827168 1006424064 1012924416 1037001184 1056964608 1082088192 1089077248 1157627904 1166626332 1174161408 1225211904 1244659712 1262436224 1341898752 1350565888 1361064054 1400242176 1409286144 1420240752 1442784256 1519386624 1543503872 1555501776 1565548544 1623132288 1633615872 1736441856 1761242112 1789198336 1814752072 1866989568 1893654336 2012848128 2025848832 2041596081 2074002368 2113929216 2164176384 2178154496 2315255808 2333252664 2348322816 2450423808 2489319424 2524872448 2683797504 2701131776 2722128108 2800484352 2840481504 2885568512 3038773248 3111003552 3131097088 3246264576 3267231744 3472883712 3522484224 3578396672 3629504144 3733979136 3787308672 4025696256 4051697664 4083192162 4148004736 4227858432 4328352768 4356308992 4630511616 4666505328 4696645632 4900847616 4978638848 5049744896 5367595008 5402263552 5444256216 5600968704 5680963008 5771137024 6077546496 6222007104 6262194176 6492529152 6534463488 6945767424 7044968448 7156793344 7259008288 7467958272 7574617344 8051392512 8103395328 8166384324 8296009472 8656705536 8712617984 9333010656 9393291264 9801695232 9957277696 10099489792 10735190016 10804527104 10888512432 11201937408 11361926016 11542274048 12155092992 12444014208 12524388352 12985058304 13068926976 13891534848 14089936896 14313586688 14518016576 14935916544 15149234688 16102785024 16206790656 16332768648 16592018944 17313411072 17425235968 18666021312 18786582528 19603390464 19914555392 20198979584 21470380032 21777024864 22403874816 22723852032 23084548096 24310185984 24888028416 25048776704 25970116608 26137853952 28179873792 28627173376 29036033152 29871833088 30298469376 32205570048 32413581312 32665537296 33184037888 34626822144 34850471936 37332042624 37573165056 39206780928 39829110784 40397959168 42940760064 43554049728 44807749632 45447704064 46169096192 48620371968 49776056832 50097553408 51940233216 52275707904 56359747584 57254346752 58072066304 59743666176 60596938752 64411140096 65331074592 66368075776 69253644288 69700943872 74664085248 75146330112 78413561856 79658221568 80795918336 85881520128 87108099456 89615499264 90895408128 92338192384 97240743936 99552113664 100195106816 103880466432 104551415808 112719495168 114508693504 116144132608 119487332352 121193877504 128822280192 130662149184 132736151552 138507288576 139401887744 149328170496 150292660224 156827123712 161591836672 171763040256 174216198912 179230998528 181790816256 184676384768 199104227328 200390213632 207760932864 209102831616 225438990336 229017387008 232288265216 238974664704 242387755008 257644560384 261324298368 265472303104 277014577152 278803775488 298656340992 300585320448 313654247424 323183673344 343526080512 348432397824 358461997056 363581632512 369352769536 398208454656 400780427264 415521865728 418205663232 450877980672 458034774016 464576530432 484775510016 515289120768 522648596736 530944606208 554029154304 557607550976 597312681984 601170640896 627308494848 646367346688 687052161024 696864795648 716923994112 727163265024 738705539072 796416909312 801560854528 831043731456 836411326464 901755961344 916069548032 929153060864 969551020032 1030578241536 1045297193472 1061889212416 1108058308608 1194625363968 1202341281792 1254616989696 1292734693376 1374104322048 1393729591296 1454326530048 1477411078144 1592833818624 1603121709056 1662087462912 1672822652928 1803511922688 1832139096064 1858306121728 1939102040064 2061156483072 2090594386944 2123778424832 2216116617216 2389250727936 2404682563584 2509233979392 2585469386752 2748208644096 2787459182592 2908653060096 2954822156288 3185667637248 3206243418112 3324174925824 3607023845376 3716612243456 3878204080128 4122312966144 4181188773888 4247556849664 4432233234432 4778501455872 4809365127168 5018467958784 5170938773504 5496417288192 5574918365184 5817306120192 5909644312576 6371335274496 6412486836224 6648349851648 7214047690752 7433224486912 7756408160256 8244625932288 8362377547776 8495113699328 8864466468864 9557002911744 9618730254336 10341877547008 11149836730368 11634612240384 11819288625152 12742670548992 12824973672448 13296699703296 14428095381504 14866448973824 15512816320512 16489251864576 16724755095552 16990227398656 17728932937728 19114005823488 19237460508672 20683755094016 22299673460736 23269224480768 23638577250304 25485341097984 26593399406592 28856190763008 29732897947648 31025632641024 33449510191104 33980454797312 35457865875456 38228011646976 38474921017344 41367510188032 44599346921472 46538448961536 47277154500608 50970682195968 53186798813184 57712381526016 59465795895296 62051265282048 66899020382208 67960909594624 70915731750912 76456023293952 82735020376064 89198693842944 93076897923072 94554309001216 101941364391936 106373597626368 115424763052032 118931591790592 124102530564096 133798040764416 135921819189248 141831463501824 152912046587904 165470040752128 178397387685888 186153795846144 203882728783872 212747195252736 237863183581184 248205061128192 267596081528832 271843638378496 283662927003648 305824093175808 330940081504256 356794775371776 372307591692288 407765457567744 425494390505472 475726367162368 496410122256384 535192163057664 543687276756992 611648186351616 661880163008512 713589550743552 744615183384576 815530915135488 850988781010944 951452734324736 992820244512768 1070384326115328 1087374553513984 1223296372703232 1427179101487104 1489230366769152 1631061830270976 1902905468649472 1985640489025536 2140768652230656 2174749107027968 2446592745406464 2854358202974208 2978460733538304 3262123660541952 3805810937298944 4281537304461312 4893185490812928 5708716405948416 5956921467076608 6524247321083904 7611621874597888 8563074608922624 9786370981625856 11417432811896832 15223243749195776 17126149217845248 19572741963251712 22834865623793664 34252298435690496 45669731247587328 68504596871380992 137009193742761984
- Sum of all divisors σ(n): 472413095863834944
- Sum of proper divisors (its aliquot sum) s(n): 335403902121072960
- 137009193742761984 is an abundant number, because the sum of its proper divisors (335403902121072960) is greater than itself. Its abundance is 198394708378310976
Bases of 137009193742761984
- Binary: 1111001101100000100100010110001000000000000000000000000002
- Hexadecimal: 0x1E6C122C4000000
- Base-36: 11H1PEOXVY80
Squares and roots of 137009193742761984
- 137009193742761984 squared (1370091937427619842) is 18771519170041689589533188875616256
- 137009193742761984 cubed (1370091937427619843) is 2571870706814212488452642176798577615340867529211904
-
The
square root of 137009193742761984 is 370147529.6996617591 -
The
cube root of 137009193742761984 is 515525.2049200591
Scales and comparisons
How big is 137009193742761984?- 137,009,193,742,761,984 seconds is equal to 4,356,468,563 years, 39 weeks, 2 days, 21 hours, 26 minutes, 24 seconds.
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To count from 1 to 137,009,193,742,761,984 would take you about thirteen billion, sixty-nine million, four hundred five thousand, six hundred ninety-one 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 137009193742761984 cubic inches would be around 42960.4 feet tall.
Recreational maths with 137009193742761984
- 137009193742761984 backwards is 489167247391900731
- The number of decimal digits it has is: 18
- The sum of 137009193742761984's digits is 81
- More coming soon!
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The information we have on file for 137009193742761984 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 137009193742761984, math, Factors of 137009193742761984, curriculum, school, college, exams, university, Prime factorization of 137009193742761984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine trillion, one hundred ninety-three billion, seven hundred forty-two million, seven hundred sixty-one thousand, nine hundred eighty-four.