2137031417664
2,137,031,417,664 is an even composite number composed of eight prime numbers multiplied together.
What does the number 2137031417664 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
2137031417664 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 2137031417664:
26 × 32 × 11 × 13 × 31 × 41 × 137 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 31 × 41 × 137 × 149)See below for interesting mathematical facts about the number 2137031417664 from the Numbermatics database.
Names of 2137031417664
- Cardinal: 2137031417664 can be written as Two trillion, one hundred thirty-seven billion, thirty-one million, four hundred seventeen thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 2.137031417664 × 1012
Factors of 2137031417664
Divisors of 2137031417664
- Number of divisors d(n): 1344
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 31 32 33 36 39 41 44 48 52 62 64 66 72 78 82 88 93 96 99 104 117 123 124 132 137 143 144 149 156 164 176 186 192 198 208 234 246 248 264 274 279 286 288 298 312 328 341 352 369 372 396 403 411 416 429 447 451 468 492 496 528 533 548 558 572 576 596 624 656 682 704 738 744 792 806 822 832 858 894 902 936 984 992 1023 1056 1066 1096 1116 1144 1192 1209 1233 1248 1271 1287 1312 1341 1353 1364 1476 1488 1507 1584 1599 1612 1639 1644 1716 1781 1788 1804 1872 1937 1968 1984 2046 2112 2132 2192 2232 2288 2384 2418 2466 2496 2542 2574 2624 2682 2706 2728 2952 2976 3014 3069 3168 3198 3224 3278 3288 3432 3562 3576 3608 3627 3744 3813 3874 3936 4059 4092 4247 4264 4384 4433 4464 4521 4576 4619 4768 4797 4836 4917 4932 5084 5148 5343 5364 5412 5456 5617 5811 5863 5904 5952 6028 6109 6138 6336 6396 6448 6556 6576 6864 7124 7152 7216 7254 7488 7626 7748 7872 8118 8184 8494 8528 8768 8866 8928 9042 9152 9238 9536 9594 9672 9834 9864 10168 10296 10686 10728 10824 10912 11234 11439 11622 11726 11808 12056 12218 12276 12741 12792 12896 13112 13152 13299 13563 13728 13857 13981 14248 14304 14432 14508 14751 15252 15496 16029 16236 16368 16523 16851 16988 17056 17433 17589 17732 17856 18084 18327 18476 19188 19344 19591 19668 19728 20336 20413 20592 21307 21372 21456 21648 21824 22468 22878 23244 23452 23616 24112 24436 24552 25482 25584 25792 26224 26304 26598 27126 27456 27714 27962 28496 28608 28864 29016 29502 30504 30992 32058 32472 32736 33046 33702 33976 34112 34866 35178 35464 36168 36654 36952 38223 38376 38688 39182 39336 39456 39897 40672 40826 41184 41571 41943 42614 42744 42912 43296 44936 45756 46488 46717 46904 48224 48872 49104 49569 50553 50809 50964 51168 52448 52767 53196 54252 54981 55211 55428 55924 56992 58032 58773 59004 60047 61008 61239 61787 61984 63921 64116 64944 65472 66092 67199 67404 67952 69732 70356 70928 72336 73021 73308 73904 76446 76752 77376 78364 78672 78912 79417 79794 81344 81652 82368 83142 83886 85228 85488 85824 86592 89872 91512 92976 93434 93808 96448 97744 98208 99138 101106 101618 101928 102336 104896 105534 106392 108504 109962 110422 110856 111848 113984 116064 117546 118008 120094 122016 122478 123574 123968 125829 127842 128232 129888 132184 134398 134808 135904 139464 140151 140712 141856 144672 146042 146616 147808 148707 152427 152892 153504 156728 157344 158834 159588 163304 165633 166284 167772 170456 170976 174127 176319 179744 180141 181753 183024 183717 185361 185952 186868 187616 189379 191763 195488 196416 198276 201597 202212 203236 203856 211068 212784 217008 219063 219924 220844 221712 223696 224543 232128 235092 236016 238251 240188 244032 244956 247148 251658 255684 256464 259776 264368 265369 268796 269616 271808 278928 280302 281424 283712 289344 292084 293232 295616 297414 304854 305784 307008 313456 314688 317668 319176 326608 331266 332568 335544 340912 341952 348254 352638 359488 360282 363506 366048 367434 370722 371904 373736 375232 378758 383526 390976 396552 403194 404424 406472 407712 420453 422136 425568 434016 438126 439848 441688 443424 447392 449086 457281 470184 472032 476502 480376 489912 494296 496899 503316 511368 512928 522381 528736 530738 537592 539232 540423 545259 556083 557856 560604 562848 568137 584168 586464 594828 604791 607321 609708 611568 626912 632803 635336 638352 653216 657189 660517 662532 665136 671088 673629 681824 696508 705276 714753 720564 727012 732096 734868 741444 747472 757516 767052 793104 796107 803231 806388 808848 812944 815424 836933 840906 844272 851136 868032 873587 876252 879696 883376 886848 894784 898172 914562 940368 944064 953004 960752 979824 988592 993798 1006632 1022736 1025856 1044762 1057472 1061476 1075184 1078464 1080846 1090518 1112166 1115712 1121208 1125696 1136274 1168336 1172928 1189656 1209582 1214642 1219416 1223136 1253824 1265606 1270672 1276704 1306432 1314378 1321034 1325064 1330272 1342176 1347258 1363648 1393016 1410552 1429506 1441128 1454024 1469736 1482888 1494944 1515032 1534104 1567143 1586208 1592214 1606462 1612776 1617696 1625888 1635777 1673866 1681812 1688544 1704411 1747174 1752504 1759392 1766752 1796344 1821963 1829124 1880736 1898409 1906008 1915397 1921504 1959648 1977184 1981551 1987596 2013264 2020887 2045472 2083169 2089524 2122952 2150368 2161692 2181036 2224332 2242416 2263651 2272548 2336672 2379312 2388321 2409693 2419164 2429284 2438832 2446272 2461927 2510799 2531212 2541344 2553408 2620761 2628756 2642068 2650128 2660544 2684352 2694516 2786032 2821104 2859012 2882256 2908048 2919059 2939472 2965776 2989888 3030064 3068208 3134286 3172416 3184428 3212924 3225552 3235392 3251776 3271554 3347732 3363624 3377088 3408822 3494348 3505008 3518784 3533504 3592688 3643926 3658248 3761472 3796818 3812016 3830794 3843008 3919296 3954368 3963102 3975192 4026528 4041774 4090944 4166338 4179048 4245904 4300736 4323384 4362072 4448664 4484832 4527302 4545096 4673344 4758624 4776642 4819386 4838328 4858568 4877664 4923854 5021598 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16983616 17238573 17293536 17448288 17514354 17794656 18109208 18180384 18412526 18748521 19106568 19277544 19353312 19434272 19695416 20086392 20249696 20372859 20882499 20966088 21030048 21136544 21556128 21760258 21863556 22157343 22780908 22872096 22984764 23352472 23778612 24679317 24900161 24998028 25074288 25475424 25703392 25944923 26172432 26271531 26781856 26908992 27081197 27163812 27270576 27618789 27843332 27954784 28916316 29151408 29265984 29543124 30129588 30374544 30646352 31449132 31704816 31801536 32334192 32640387 32905756 33330704 33432384 34477146 34587072 34896576 35028708 35589312 36218416 36360768 36825052 37497042 38213136 38555088 38706624 38868544 39390832 40172784 40499392 40745718 41764998 41932176 42060096 42273088 43112256 43520516 43727112 44314686 45561816 45744192 45969528 46704944 47557224 49358634 49800322 49996056 50148576 50950848 51406784 51889846 52344864 52543062 53563712 54162394 54327624 54541152 55237578 55686664 55909568 57832632 58302816 59086248 60259176 60749088 61292704 62647497 62898264 63409632 64668384 65280774 65811512 66661408 68954292 70057416 72436832 73650104 74037951 74700483 74994084 76426272 77110176 77834769 78781664 80345568 81243591 81491436 82856367 83529996 83864352 87041032 87454224 88629372 90490829 91123632 91939056 93409888 95114448 97921161 98717268 99600644 99992112 100297152 103779692 104689728 105086124 108324788 108655248 109082304 110475156 111373328 115665264 116605632 118172496 119681419 120518352 121498176 122585408 125294994 125796528 126819264 129336768 130561548 131623024 133322816 137908584 140114832 144873664 147300208 148075902 149400966 149988168 152852544 154220352 155669538 157563328 160691136 162487182 162982872 165712734 167059992 167728704 174082064 174908448 177258744 180981658 182247264 183878112 186819776 190228896 195842322 197434536 199201288 199984224 207559384 210172248 216649576 217310496 220950312 222746656 224101449 231330528 233504307 236344992 239362838 241036704 243730773 250589988 251593056 261123096 263246048 271472487 275817168 280229664 285394153 294600416 296151804 298801932 299976336 311339076 324974364 325965744 331425468 334119984 337283999 348164128 349816896 354517488 359044257 361963316 364494528 367756224 380457792 391684644 394869072 398402576 399968448 415118768 420344496 433299152 434620992 441900624 445493312 448202898 462661056 467008614 472689984 478725676 482073408 487461546 501179976 503186112 522246192 526492096 542944974 551634336 560459328 570788306 589200832 592303608 597603864 599952672 622678152 649948728 651931488 662850936 668239968 674567998 696328256 709034976 718088514 723926632 783369288 789738144 796805152 814417461 830237536 840688992 856182459 866598304 883801248 896405796 934017228 957451352 974923092 1002359952 1011851997 1044492384 1077132771 1085889948 1103268672 1141576612 1184607216 1195207728 1199905344 1245356304 1299897456 1303862976 1325701872 1336479936 1349135996 1418069952 1436177028 1447853264 1566738576 1579476288 1593610304 1628834922 1660475072 1681377984 1712364918 1733196608 1767602496 1792811592 1868034456 1914902704 1949846184 2004719904 2023703994 2088984768 2154265542 2171779896 2283153224 2369214432 2390415456 2490712608 2568547377 2599794912 2651403744 2698271992 2872354056 2895706528 3035555991 3133477152 3257669844 3424729836 3585623184 3710123989 3736068912 3829805408 3899692368 4009439808 4047407988 4308531084 4343559792 4566306448 4738428864 4780830912 4981425216 5137094754 5199589824 5302807488 5396543984 5744708112 5791413056 6071111982 6266954304 6515339688 6849459672 7171246368 7420247978 7472137824 7659610816 7799384736 8094815976 8617062168 8687119584 9132612896 10274189508 10793087968 11130371967 11489416224 12142223964 13030679376 13698919344 14342492736 14840495956 14944275648 15598769472 16189631952 17234124336 17374239168 18265225792 20548379016 21586175936 22260743934 22978832448 24284447928 26061358752 27397838688 29680991912 32379263904 33391115901 34468248672 41096758032 44521487868 48568895856 52122717504 54795677376 59361983824 64758527808 66782231802 68936497344 82193516064 89042975736 97137791712 118723967648 133564463604 164387032128 178085951472 194275583424 237447935296 267128927208 356171902944 534257854416 712343805888 1068515708832 2137031417664
- Sum of all divisors σ(n): 7716599654400
- Sum of proper divisors (its aliquot sum) s(n): 5579568236736
- 2137031417664 is an abundant number, because the sum of its proper divisors (5579568236736) is greater than itself. Its abundance is 3442536819072
Bases of 2137031417664
- Binary: 111110001100100001111111110011111010000002
- Hexadecimal: 0x1F190FF9F40
- Base-36: R9QLBV40
Squares and roots of 2137031417664
- 2137031417664 squared (21370314176642) is 4566903280083005611216896
- 2137031417664 cubed (21370314176643) is 9759615790970157136932910079069650944
-
The
square root of 2137031417664 is 1461858.8911601557 -
The
cube root of 2137031417664 is 12880.6259615023
Scales and comparisons
How big is 2137031417664?- 2,137,031,417,664 seconds is equal to 67,950 years, 51 weeks, 2 days, 22 hours, 14 minutes, 24 seconds.
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To count from 1 to 2,137,031,417,664 would take you about one hundred sixty-nine thousand, eight hundred seventy-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 2137031417664 cubic inches would be around 1073.4 feet tall.
Recreational maths with 2137031417664
- 2137031417664 backwards is 4667141307312
- The number of decimal digits it has is: 13
- The sum of 2137031417664's digits is 45
- More coming soon!
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The information we have on file for 2137031417664 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 2137031417664, math, Factors of 2137031417664, curriculum, school, college, exams, university, Prime factorization of 2137031417664, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred thirty-seven billion, thirty-one million, four hundred seventeen thousand, six hundred sixty-four.