137243721072640
137,243,721,072,640 is an even composite number composed of six prime numbers multiplied together.
137243721072640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137243721072640:
217 × 5 × 7 × 13 × 372 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 37 × 37 × 41 × 41)See below for interesting mathematical facts about the number 137243721072640 from the Numbermatics database.
Names of 137243721072640
- Cardinal: 137243721072640 can be written as One hundred thirty-seven trillion, two hundred forty-three billion, seven hundred twenty-one million, seventy-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3724372107264 × 1014
Factors of 137243721072640
Divisors of 137243721072640
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 37 40 41 52 56 64 65 70 74 80 82 91 104 112 128 130 140 148 160 164 182 185 205 208 224 256 259 260 280 287 296 320 328 364 370 410 416 448 455 481 512 518 520 533 560 574 592 640 656 728 740 820 832 896 910 962 1024 1036 1040 1066 1120 1148 1184 1280 1295 1312 1369 1435 1456 1480 1517 1640 1664 1681 1792 1820 1924 2048 2072 2080 2132 2240 2296 2368 2405 2560 2590 2624 2665 2738 2870 2912 2960 3034 3280 3328 3362 3367 3584 3640 3731 3848 4096 4144 4160 4264 4480 4592 4736 4810 5120 5180 5248 5330 5476 5740 5824 5920 6068 6560 6656 6724 6734 6845 7168 7280 7462 7585 7696 8192 8288 8320 8405 8528 8960 9184 9472 9583 9620 10240 10360 10496 10619 10660 10952 11480 11648 11767 11840 12136 13120 13312 13448 13468 13690 14336 14560 14924 15170 15392 16384 16576 16640 16810 16835 17056 17797 17920 18368 18655 18944 19166 19240 19721 20480 20720 20992 21238 21320 21853 21904 22960 23296 23534 23680 24272 26240 26624 26896 26936 27380 28672 29120 29848 30340 30784 32768 33152 33280 33620 33670 34112 35594 35840 36736 37310 37888 38332 38480 39442 40960 41440 41984 42476 42640 43706 43808 45920 46592 47068 47360 47915 48544 52480 53095 53248 53792 53872 54760 56129 57344 58240 58835 59696 60680 61568 62197 65536 66304 66560 67240 67340 68224 71188 71680 73472 74620 75776 76664 76960 78884 81920 82880 83968 84952 85280 87412 87616 88985 91840 93184 94136 94720 95830 97088 98605 104960 106190 106496 107584 107744 109265 109520 112258 114688 116480 117670 119392 121360 123136 124394 124579 131072 132608 133120 134480 134680 136448 138047 142376 143360 146944 149240 151552 152971 153328 153920 157768 163840 165760 167936 169904 170560 174824 175232 177970 183680 186368 188272 189440 191660 194176 197210 209920 212380 212992 215168 215488 218530 219040 224516 229376 232960 235340 238784 242720 246272 248788 249158 265216 266240 268960 269360 272896 276094 280645 284752 286720 293888 298480 303104 305942 306656 307840 310985 315536 327680 331520 335872 339808 341120 349648 350464 355940 367360 372736 376544 378880 383320 388352 392903 394420 419840 424760 425984 430336 430976 435379 437060 438080 449032 458752 465920 470680 477568 485440 492544 497576 498316 530432 532480 537920 538720 545792 552188 561290 569504 573440 587776 596960 606208 611884 613312 615680 621970 622895 631072 655360 663040 671744 679616 682240 690235 699296 700928 711880 729677 734720 745472 753088 757760 764855 766640 776704 785806 788840 808561 839680 849520 851968 860672 861952 870758 874120 876160 898064 917504 931840 941360 955136 970880 985088 995152 996632 1060864 1064960 1075840 1077440 1091584 1104376 1122580 1139008 1146880 1175552 1193920 1212416 1223768 1226624 1231360 1243940 1245790 1262144 1326080 1343488 1359232 1364480 1380470 1398592 1401856 1423760 1459354 1469440 1490944 1506176 1515520 1529710 1533280 1553408 1571612 1577680 1617122 1679360 1699040 1703936 1721344 1723904 1741516 1748240 1752320 1796128 1863680 1882720 1910272 1941760 1964515 1970176 1990304 1993264 2121728 2129920 2151680 2154880 2176895 2183168 2208752 2245160 2278016 2293760 2301289 2351104 2387840 2424832 2447536 2453248 2462720 2487880 2491580 2524288 2652160 2686976 2718464 2728960 2760940 2797184 2803712 2847520 2918708 2938880 2981888 3012352 3031040 3059420 3066560 3106816 3143224 3155360 3234244 3358720 3398080 3442688 3447808 3483032 3496480 3504640 3592256 3648385 3727360 3765440 3820544 3883520 3929030 3940352 3980608 3986528 4042805 4243456 4259840 4303360 4309760 4353790 4366336 4417504 4490320 4556032 4587520 4602578 4702208 4775680 4849664 4895072 4906496 4925440 4975760 4983160 5048576 5107739 5304320 5373952 5436928 5457920 5521880 5594368 5607424 5659927 5695040 5837416 5877760 5963776 6024704 6062080 6118840 6133120 6213632 6286448 6310720 6468488 6717440 6796160 6885376 6895616 6966064 6992960 7009280 7184512 7296770 7454720 7530880 7641088 7767040 7858060 7880704 7961216 7973056 8085610 8486912 8519680 8606720 8619520 8707580 8732672 8835008 8980640 9112064 9205156 9404416 9551360 9790144 9812992 9850880 9951520 9966320 10097152 10215478 10608640 10873856 10915840 11043760 11188736 11214848 11319854 11390080 11506445 11674832 11755520 11927552 12049408 12124160 12237680 12266240 12427264 12572896 12621440 12936976 13434880 13592320 13770752 13791232 13932128 13985920 14018560 14369024 14593540 14909440 15061760 15282176 15534080 15716120 15761408 15922432 15946112 16109023 16171220 16973824 17213440 17239040 17415160 17465344 17670016 17961280 18224128 18410312 18808832 19102720 19580288 19625984 19701760 19903040 19932640 20194304 20430956 21217280 21747712 21831680 22087520 22377472 22429696 22639708 22780160 23012890 23349664 23511040 24098816 24248320 24475360 24532480 24854528 25145792 25242880 25538695 25873952 26869760 27184640 27541504 27582464 27864256 27971840 28037120 28299635 28738048 29187080 29818880 29916757 30123520 30564352 31068160 31432240 31522816 31844864 31892224 32218046 32342440 33947648 34426880 34478080 34830320 34930688 35340032 35922560 36448256 36820624 37617664 38205440 39160576 39251968 39403520 39806080 39865280 40388608 40861912 42434560 43495424 43663360 44175040 44754944 44859392 45279416 45560320 46025780 46699328 47022080 48197632 48950720 49064960 49709056 50291584 50485760 51077390 51747904 54369280 55083008 55164928 55728512 55943680 56074240 56599270 57476096 58374160 59637760 59833514 60247040 61128704 62136320 62864480 63045632 63689728 63784448 64436092 64684880 68853760 68956160 69660640 69861376 70680064 71845120 72896512 73641248 76410880 78321152 78503936 78807040 79612160 79730560 80545115 80777216 81723824 84869120 86990848 87326720 88350080 89509888 89718784 90558832 91120640 92051560 93398656 94044160 96395264 97901440 98129920 99418112 100583168 100971520 102154780 103495808 108738560 110166016 110329856 111457024 111887360 112148480 113198540 114952192 116748320 119667028 120494080 122257408 124272640 125728960 127379456 127568896 128872184 129369760 137707520 137912320 139321280 141360128 143690240 145793024 147282496 149583785 152821760 156642304 157007872 157614080 159224320 159461120 161090230 161554432 163447648 169738240 173981696 174653440 176700160 179019776 179437568 181117664 182241280 184103120 186797312 188088320 192790528 195802880 196259840 198836224 201166336 201943040 204309560 206991616 209417299 217477120 220332032 220659712 222914048 223774720 224296960 226397080 229904384 233496640 239334056 240988160 244514816 248545280 251457920 254758912 255137792 257744368 258739520 275415040 275824640 278642560 282720256 287380480 291586048 294564992 299167570 305643520 313284608 314015744 315228160 318448640 318922240 322180460 323108864 326895296 347963392 349306880 353400320 358039552 362235328 364482560 368206240 373594624 385581056 391605760 392519680 402332672 403886080 408619120 413983232 418834598 434954240 441319424 445828096 447549440 448593920 452794160 459808768 466993280 478668112 481976320 489029632 497090560 502915840 509517824 510275584 515488736 517479040 550830080 551649280 557285120 565440512 574760960 583172096 589129984 598335140 611287040 626569216 628031488 636897280 637844480 644360920 646217728 653790592 695926784 706800640 716079104 724470656 728965120 736412480 747189248 771162112 783211520 785039360 804665344 807772160 817238240 827966464 837669196 869908480 891656192 895098880 897187840 905588320 919617536 933986560 957336224 963952640 994181120 1005831680 1019035648 1020551168 1030977472 1034958080 1047086495 1101660160 1103298560 1114570240 1130881024 1149521920 1166344192 1178259968 1196670280 1222574080 1253138432 1256062976 1273794560 1275688960 1288721840 1292435456 1307581184 1391853568 1413601280 1432158208 1448941312 1457930240 1472824960 1494378496 1542324224 1566423040 1570078720 1609330688 1615544320 1634476480 1655932928 1675338392 1739816960 1783312384 1790197760 1811176640 1839235072 1867973120 1914672448 1927905280 2011663360 2038071296 2041102336 2061954944 2069916160 2094172990 2206597120 2229140480 2261762048 2299043840 2332688384 2356519936 2393340560 2445148160 2506276864 2547589120 2551377920 2577443680 2584870912 2615162368 2827202560 2864316416 2897882624 2915860480 2945649920 2988756992 3132846080 3140157440 3218661376 3231088640 3268952960 3311865856 3350676784 3479633920 3566624768 3580395520 3622353280 3678470144 3735946240 3829344896 3855810560 4023326720 4076142592 4082204672 4123909888 4139832320 4188345980 4458280960 4523524096 4598087680 4713039872 4786681120 5012553728 5095178240 5102755840 5154887360 5230324736 5654405120 5795765248 5831720960 5891299840 5977513984 6265692160 6280314880 6437322752 6462177280 6537905920 6623731712 6701353568 6959267840 7133249536 7160791040 7244706560 7356940288 7471892480 7658689792 7711621120 8046653440 8152285184 8164409344 8247819776 8279664640 8376691960 8916561920 9047048192 9196175360 9426079744 9573362240 10025107456 10190356480 10205511680 10309774720 10460649472 11308810240 11591530496 11663441920 11782599680 11955027968 12531384320 12874645504 12924354560 13075811840 13247463424 13402707136 14266499072 14321582080 14489413120 14943784960 15317379584 16093306880 16328818688 16495639552 16559329280 16753383920 17833123840 18094096384 18392350720 18852159488 19146724480 20050214912 20380712960 20411023360 20619549440 20921298944 22617620480 23183060992 23565199360 23910055936 25062768640 25749291008 26151623680 26494926848 26805414272 28532998144 28978826240 29887569920 30634759168 32186613760 32991279104 33118658560 33506767840 35666247680 36784701440 37704318976 38293448960 40761425920 40822046720 41239098880 41842597888 45235240960 46366121984 47130398720 47820111872 50125537280 51498582016 52303247360 52989853696 53610828544 57065996288 57957652480 59775139840 61269518336 64373227520 65982558208 66237317120 67013535680 71332495360 75408637952 76586897920 81644093440 82478197760 83685195776 90470481920 92732243968 94260797440 95640223744 100251074560 104606494720 105979707392 107221657088 115915304960 119550279680 122539036672 128746455040 131965116416 132474634240 134027071360 142664990720 150817275904 153173795840 164956395520 167370391552 185464487936 188521594880 209212989440 214443314176 231830609920 239100559360 245078073344 257492910080 263930232832 264949268480 268054142720 285329981440 301634551808 306347591680 329912791040 334740783104 370928975872 377043189760 418425978880 428886628352 463661219840 478201118720 490156146688 527860465664 529898536960 536108285440 612695183360 659825582080 669481566208 741857951744 754086379520 836851957760 857773256704 927322439680 980312293376 1055720931328 1072216570880 1225390366720 1319651164160 1508172759040 1673703915520 1715546513408 1854644879360 1960624586752 2111441862656 2144433141760 2450780733440 2639302328320 3347407831040 3431093026816 3709289758720 3921249173504 4288866283520 4901561466880 5278604656640 6862186053632 8577732567040 9803122933760 10557209313280 13724372107264 17155465134080 19606245867520 27448744214528 34310930268160 68621860536320 137243721072640
- Sum of all divisors σ(n): 427058050489056
- Sum of proper divisors (its aliquot sum) s(n): 289814329416416
- 137243721072640 is an abundant number, because the sum of its proper divisors (289814329416416) is greater than itself. Its abundance is 152570608343776
Bases of 137243721072640
- Binary: 111110011010010100010110011111000000000000000002
- Hexadecimal: 0x7CD28B3E0000
- Base-36: 1CNCW7ZYF4
Squares and roots of 137243721072640
- 137243721072640 squared (1372437210726402) is 18835838973864608792156569600
- 137243721072640 cubed (1372437210726403) is 2585100630298236003906408409161734815744000
-
The
square root of 137243721072640 is 11715106.5327055391 -
The
cube root of 137243721072640 is 51581.9189640469
Scales and comparisons
How big is 137243721072640?- 137,243,721,072,640 seconds is equal to 4,363,925 years, 41 weeks, 6 days, 21 hours, 30 minutes, 40 seconds.
-
To count from 1 to 137,243,721,072,640 would take you about ten million, nine hundred nine thousand, eight hundred fourteen 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 137243721072640 cubic inches would be around 4298.5 feet tall.
Recreational maths with 137243721072640
- 137243721072640 backwards is 046270127342731
- The number of decimal digits it has is: 15
- The sum of 137243721072640's digits is 49
- More coming soon!
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"Number 137243721072640 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 137243721072640 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/137243721072640/
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The information we have on file for 137243721072640 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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