137438492696505
137,438,492,696,505 is an odd composite number composed of nine prime numbers multiplied together.
137438492696505 is an odd composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 137438492696505:
33 × 5 × 7 × 11 × 13 × 29 × 61 × 67 × 8581
(3 × 3 × 3 × 5 × 7 × 11 × 13 × 29 × 61 × 67 × 8581)See below for interesting mathematical facts about the number 137438492696505 from the Numbermatics database.
Names of 137438492696505
- Cardinal: 137438492696505 can be written as One hundred thirty-seven trillion, four hundred thirty-eight billion, four hundred ninety-two million, six hundred ninety-six thousand, five hundred five.
Scientific notation
- Scientific notation: 1.37438492696505 × 1014
Factors of 137438492696505
Divisors of 137438492696505
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 3 5 7 9 11 13 15 21 27 29 33 35 39 45 55 61 63 65 67 77 87 91 99 105 117 135 143 145 165 183 189 195 201 203 231 261 273 297 305 315 319 335 351 377 385 427 429 435 455 469 495 549 585 603 609 671 693 715 737 783 793 819 871 915 945 957 1001 1005 1015 1131 1155 1281 1287 1305 1365 1407 1485 1595 1647 1755 1769 1809 1827 1885 1943 2013 2079 2135 2145 2211 2233 2345 2379 2457 2613 2639 2745 2871 3003 3015 3045 3355 3393 3465 3685 3843 3861 3915 3965 4087 4095 4147 4221 4355 4697 4785 5005 5159 5307 5481 5551 5655 5829 6039 6097 6405 6435 6633 6699 7035 7137 7839 7917 8235 8581 8613 8723 8845 9009 9045 9135 9581 9715 10065 10179 10395 11055 11165 11529 11895 12261 12285 12383 12441 12663 13065 13195 13601 14091 14355 15015 15477 15921 16653 16965 17487 18117 18291 19215 19305 19459 19899 20097 20435 20735 21105 21373 21411 22997 23485 23517 23751 25259 25743 25795 26169 26535 27027 27405 27755 28609 28743 29029 29145 30195 30485 33165 33495 35685 36783 37149 37323 39195 39585 40803 42273 42905 43065 43615 44957 45045 46431 47763 47905 49959 50895 52461 53131 54873 57645 58377 60067 60291 61061 61305 61915 62205 63315 64119 67067 68005 68991 70455 71253 75777 77229 77385 78507 79605 83265 85827 86229 87087 87435 90585 91455 94391 97295 99495 100485 106865 107055 110349 111447 111553 111969 114985 117585 118523 118755 122409 126295 126819 128715 130845 134871 135135 136213 139293 143045 143715 145145 149611 149877 159393 160979 164619 175131 176813 180201 183183 183915 185745 186615 192357 201201 204015 206973 211365 224785 227331 231687 232155 235521 238815 248849 249795 252967 257481 258687 261261 262305 265655 274365 277849 283173 291885 300335 301455 305305 314699 320595 334341 334659 335335 344955 355569 356265 367227 371917 378885 386145 392535 404613 408639 429135 431145 435435 448833 471955 478179 482937 523441 525393 530439 540603 549549 551745 557235 557765 559845 574927 577071 584441 592615 603603 612045 620919 634095 660737 674355 681065 681993 696465 746547 748055 749385 758901 772443 780871 783783 796965 804895 823095 829661 833547 849519 875655 884065 901005 915915 944097 961785 1003977 1006005 1034865 1066707 1115751 1136655 1158435 1177605 1213839 1225917 1227083 1244245 1264835 1287405 1293435 1303753 1306305 1346499 1389245 1415865 1434537 1448811 1540799 1570323 1573495 1591317 1621809 1648647 1671705 1673295 1724781 1741943 1753323 1770769 1777845 1810809 1836135 1859585 1944943 1982211 2023065 2043195 2239641 2244165 2276703 2342613 2390895 2414685 2488983 2500641 2548557 2617205 2626965 2652195 2703015 2737339 2747745 2832291 2874635 2885355 2922205 3011931 3018015 3104595 3200121 3235037 3303685 3347253 3409965 3664087 3677751 3681249 3732735 3794505 3862215 3904355 3911259 3918915 4024489 4039497 4091087 4148305 4167735 4247595 4346433 4622397 4710969 4720485 4773951 5019885 5174343 5225829 5259969 5312307 5333535 5578755 5757851 5834829 5946633 6069195 6129585 6135415 6324197 6518765 6718923 6732495 6804733 6830109 7027839 7172685 7244055 7466949 7474051 7501923 7703995 7851615 7956585 8109045 8212017 8243235 8496873 8589581 8623905 8709715 8766615 8853845 9054045 9126271 9705111 9724715 9911055 10041759 10785593 10992261 11043747 11198205 11383515 11713065 11733777 12073467 12273261 12444915 12503205 12742785 13686695 13867191 14132907 14161455 15059655 15179789 15523029 15677487 15779907 15936921 16000605 16175185 16672883 16736265 16948789 17273553 17504487 17839899 18320435 18388755 18406245 18972591 19161373 19556295 20122445 20197485 20414199 20455435 21083517 21732165 22400847 22422153 22645259 23111985 23554845 23869755 24636051 25768743 25871715 26129145 26299845 26561535 27378813 28789255 29115333 29174145 29733165 31620985 32356779 32976783 33131241 33594615 34023665 34150545 35070547 35139195 35201331 35585407 36220401 36819783 37334745 37370255 37509615 40304957 41060085 41601573 42484365 42947905 44269379 45539367 45631355 47032461 47633131 47810763 48525555 50018649 50208795 50846367 51820659 52318357 52513461 53927965 54961305 55218735 56917773 57484119 58668885 60367335 61242597 61366305 67266459 67935777 69335955 70664535 73908153 74852063 75898945 77306229 77615145 78387435 78899535 79684605 82136439 82214561 83364415 84743945 86367765 87345999 87522435 89199495 94862955 95806865 97070337 98930349 102070995 105211641 105417585 106258523 106756221 108661203 110459349 112004235 112110765 113226295 116710181 118641523 120914871 123180255 128843715 132808137 136618101 136894065 142899393 145576665 150055947 152539101 155461977 156955071 161783895 164883915 165656205 166977679 170753319 172452357 175352735 176006655 177927035 181102005 183401713 183727791 184098915 197337257 201524785 201799377 203807331 208007865 216747479 221346895 224556189 227696835 231918687 235162305 238165655 239053815 245493829 246409317 246643683 249097849 250093245 254231835 259103295 261591785 262567305 284588865 287420595 291211011 306212985 315634923 318775569 320268663 336332295 339678885 350130543 355924569 362744613 369540765 374260315 385776017 386531145 398424411 409854303 410682195 411072805 428698179 436729995 450167841 455917111 457617303 470865213 485351685 494651745 500933037 517357071 523964441 526058205 531292615 533781105 543306015 550205139 552296745 575501927 583550905 592011771 593207615 604574355 611421993 650242437 664040685 673668567 683090505 714496965 736481487 739931049 747293547 750279735 762695505 777309885 784775355 834888395 853766595 862261785 917008565 918638955 946904769 956326707 960805989 986686285 1008996885 1017045863 1019036655 1050391629 1067773707 1083737395 1088233839 1122780945 1157328051 1159593435 1168843753 1195273233 1227469145 1232046585 1233218415 1245489245 1283811991 1286094537 1367751333 1381360799 1412595639 1456055055 1502799111 1517232353 1571893323 1578174615 1593877845 1601343315 1650615417 1726505781 1750652715 1776035313 1779622845 1813723065 1928880085 1950727311 1992122055 2021005701 2049271515 2143490895 2170709827 2209444461 2219793147 2241880641 2250839205 2279585555 2288086515 2354326065 2384222269 2504665185 2586785355 2619822205 2700432119 2751025695 2868980121 2877509635 2960058855 3051137589 3057109965 3151174887 3191419777 3203321121 3251212185 3368342835 3471984153 3506531259 3682407435 3699655245 3736467735 3851435973 4103253999 4144082397 4508397333 4551697059 4715679969 4734523845 4781633535 4804029945 4951846251 5015088221 5085229315 5179517343 5251958145 5328105939 5338868535 5441169195 5786640255 5844218765 5852181933 5976366165 6419059955 6430472685 6512129481 6628333383 6725641923 6838756665 6906803995 7062978195 7119321041 7152666807 7513995555 7586161765 7859466615 8101296357 8253077085 8632528905 8880176565 9153412767 9574259331 9753636555 10105028505 10415952459 10519593777 10853549135 11047222305 11098965735 11187504493 11209403205 11554307919 11921111345 12309761997 12432247191 13221596219 13502160595 13655091177 14147039907 14344900605 15045264663 15194968789 15255687945 15538552029 15755874435 15957098885 16016605605 16689555883 17359920765 17532656295 19257179865 19536388443 20516269995 20720411985 21357963123 21458000421 22541986665 22758485295 23578399845 24303889071 24759231255 25075441105 25897586715 26640529695 27460238301 28722777993 29260909665 31558781331 32560647405 33141666915 33562513479 33628209615 34662923757 35105617547 35596605205 35763334035 37296741573 39664788657 40506481785 40965273531 45135793989 45584906367 45767063835 47871296655 50068667649 52079762295 52597968885 55937522465 57771539595 58609165329 61548809985 62161235955 64073889369 64374001263 66107981095 68275455885 70735199535 72911667213 75226323315 75974843945 77692760145 78312531451 83447779415 86168333979 92551173533 97681942215 100687540437 105316852641 106789815615 107290002105 118994365971 121519445355 135407381967 136754719101 137301191505 143613889965 145437558409 150206002947 157793906655 167812567395 173314618785 175528087735 186483707865 192221668107 198323943285 204826367655 225678969945 227924531835 234937594353 250343338245 277653520599 293045826645 302062621311 315950557923 320369446845 321870006315 356983097913 364558336065 391562657255 410264157303 430841669895 436312675227 450618008841 462755867665 503437702185 526584263205 594971829855 677036909835 683773595505 704812783059 727187792045 751030014735 832960561797 947851673769 961108340535 1018062908863 1174687971765 1308938025681 1388267602995 1510313106555 1579752789615 1784915489565 2051320786515 2114438349177 2181563376135 2253090044205 2498881685391 3054188726589 3524063915295 3926814077043 4164802808985 4739258368845 5090314544315 6544690128405 9162566179767 10572191745885 12494408426955 15270943632945 19634070385215 27487698539301 45812830898835 137438492696505
- Sum of all divisors σ(n): 350123190681600
- Sum of proper divisors (its aliquot sum) s(n): 212684697985095
- 137438492696505 is an abundant number, because the sum of its proper divisors (212684697985095) is greater than itself. Its abundance is 75246205288590
Bases of 137438492696505
- Binary: 111110011111111111001001000100100011111101110012
- Hexadecimal: 0x7CFFE4891FB9
- Base-36: 1CPUDDZT89
Squares and roots of 137438492696505
- 137438492696505 squared (1374384926965052) is 18889339274687258226039215025
- 137438492696505 cubed (1374384926965053) is 2596122317945909793717473636627185760987625
-
The
square root of 137438492696505 is 11723416.4259615467 -
The
cube root of 137438492696505 is 51606.3085320881
Scales and comparisons
How big is 137438492696505?- 137,438,492,696,505 seconds is equal to 4,370,118 years, 49 weeks, 2 hours, 21 minutes, 45 seconds.
-
To count from 1 to 137,438,492,696,505 would take you about ten million, nine hundred twenty-five thousand, two hundred ninety-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 137438492696505 cubic inches would be around 4300.5 feet tall.
Recreational maths with 137438492696505
- 137438492696505 backwards is 505696294834731
- The number of decimal digits it has is: 15
- The sum of 137438492696505's digits is 72
- More coming soon!
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The information we have on file for 137438492696505 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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