137742139684864
137,742,139,684,864 is an even composite number composed of six prime numbers multiplied together.
137742139684864 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 137742139684864:
211 × 112 × 132 × 17 × 31 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 13 × 13 × 17 × 31 × 79 × 79)See below for interesting mathematical facts about the number 137742139684864 from the Numbermatics database.
Names of 137742139684864
- Cardinal: 137742139684864 can be written as One hundred thirty-seven trillion, seven hundred forty-two billion, one hundred thirty-nine million, six hundred eighty-four thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.37742139684864 × 1014
Factors of 137742139684864
Divisors of 137742139684864
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 8 11 13 16 17 22 26 31 32 34 44 52 62 64 68 79 88 104 121 124 128 136 143 158 169 176 187 208 221 242 248 256 272 286 316 338 341 352 374 403 416 442 484 496 512 527 544 572 632 676 682 704 748 806 832 869 884 968 992 1024 1027 1054 1088 1144 1264 1343 1352 1364 1408 1496 1573 1612 1664 1738 1768 1859 1936 1984 2048 2054 2057 2108 2176 2288 2431 2449 2528 2686 2704 2728 2816 2873 2992 3146 3224 3328 3476 3536 3718 3751 3872 3968 4108 4114 4216 4352 4433 4576 4862 4898 5056 5239 5372 5408 5456 5632 5746 5797 5984 6241 6292 6448 6656 6851 6952 7072 7436 7502 7744 7936 8216 8228 8432 8704 8866 9152 9559 9724 9796 10112 10478 10744 10816 10912 11264 11297 11492 11594 11968 12482 12584 12896 13312 13351 13702 13904 14144 14773 14872 15004 15488 15872 16432 16456 16864 17408 17459 17732 18304 19118 19448 19592 20224 20449 20956 21488 21632 21824 22528 22594 22984 23188 23936 24964 25168 25792 26624 26702 26741 26939 27404 27808 28288 29546 29744 30008 30976 31603 31744 31837 32864 32912 33728 34816 34918 35464 36608 38236 38896 39184 40448 40898 41633 41912 42976 43264 43648 45188 45968 46376 47872 48763 49928 50336 51584 53404 53482 53878 54808 55616 56576 57629 59092 59488 60016 61952 63206 63488 63674 63767 65728 65824 67456 68651 69836 70928 73216 75361 76472 77792 78368 80896 81133 81796 83266 83824 85952 86528 87296 89063 90376 91936 92752 95744 97526 99856 100672 103168 106097 106808 106964 107756 109616 111232 113152 115258 118184 118976 120032 123904 124267 126412 127348 127534 131456 131648 134912 137302 139672 141856 146432 146861 150722 152944 155584 156736 161792 162266 162503 163592 166532 167648 171904 173056 174592 178126 180752 183872 185504 191488 192049 193471 195052 199712 201344 206336 212194 213616 213928 215512 219232 222464 226304 226967 230516 236368 237952 240064 247808 248534 252824 254696 255068 262912 263296 269824 274604 279344 283712 292864 293722 296329 301444 305888 311168 313472 324532 325006 327184 333064 335296 343808 346112 347633 349184 350207 356252 361504 367744 371008 382976 384098 386942 390104 399424 402688 412672 413881 424388 427232 427856 431024 438464 444928 452608 453934 457963 461032 472736 475904 480128 497068 505648 509392 510136 525824 526592 539648 541229 549208 558688 567424 587444 592658 602888 611776 622336 626944 633919 649064 650012 654368 666128 670592 687616 695266 698368 700414 712504 723008 735488 742016 755161 768196 773884 780208 798848 805376 825344 827762 828971 848776 854464 855712 862048 876928 889856 892463 907868 915926 922064 945472 951808 960256 979693 994136 1011296 1018784 1020272 1051648 1053184 1054729 1079296 1082458 1098416 1117376 1134848 1167067 1174888 1185316 1205776 1223552 1244672 1253888 1267838 1298128 1300024 1308736 1332256 1341184 1375232 1379261 1390532 1400828 1425008 1446016 1470976 1484032 1510322 1536392 1547768 1560416 1597696 1610752 1615471 1655524 1657942 1697552 1708928 1711424 1724096 1753856 1779712 1784926 1815736 1831852 1844128 1890944 1903616 1920512 1959386 1988272 2022592 2037568 2040544 2103296 2106368 2109458 2112539 2128181 2164916 2196832 2234752 2269696 2334134 2349776 2370632 2411552 2447104 2489344 2496637 2507776 2515123 2535676 2596256 2600048 2617472 2664512 2682368 2750464 2758522 2781064 2801656 2850016 2892032 2941952 2968064 3020644 3072784 3095536 3120832 3195392 3221504 3230942 3289007 3311048 3315884 3395104 3417856 3422848 3448192 3507712 3569852 3631472 3663704 3688256 3781888 3807232 3841024 3852277 3918772 3976544 4045184 4075136 4081088 4212736 4218916 4225078 4256362 4329832 4393664 4469504 4539392 4552691 4668268 4699552 4741264 4823104 4894208 4978688 4993274 5015552 5030246 5037593 5071352 5192512 5200096 5234944 5329024 5364736 5517044 5562128 5603312 5700032 5784064 5883904 5936128 5953519 6041288 6145568 6191072 6241664 6390784 6461884 6578014 6622096 6631768 6790208 6835712 6845696 6896384 7015424 7035977 7139704 7262944 7327408 7376512 7563776 7682048 7704554 7837544 7953088 8090368 8150272 8162176 8437832 8450156 8512724 8659664 8787328 8939008 9078784 9105382 9336536 9399104 9482528 9646208 9788416 9817093 9986548 10060492 10075186 10142704 10385024 10400192 10469888 10658048 10729472 10776623 11034088 11124256 11206624 11400064 11568128 11602019 11872256 11907038 12082576 12291136 12382144 12483328 12781568 12837737 12923768 13156028 13244192 13263536 13580416 13671424 13691392 13792768 14030848 14071954 14279408 14525888 14654816 14753024 15127552 15171871 15409108 15675088 15906176 16180736 16300544 16324352 16875664 16900312 17025448 17319328 17574656 17878016 17930393 18210764 18673072 18798208 18965056 19292416 19576832 19634186 19973096 20120984 20150372 20285408 20770048 20800384 20939776 21316096 21553246 22068176 22248512 22413248 22800128 23136256 23204038 23409991 23814076 24165152 24582272 24764288 24966656 25675474 25847536 26312056 26488384 26527072 27160832 27342848 27382784 27463007 27585536 27666353 28143908 28558816 29051776 29309632 29506048 30255104 30343742 30818216 31350176 31812352 32361472 32601088 32648704 32696599 33751328 33800624 34050896 34638656 35149312 35756032 35860786 36179077 36421528 37346144 37596416 37930112 38584832 39268372 39946192 40241968 40300744 40570816 41540096 41600768 41879552 42632192 42757091 43106492 44136352 44497024 44826496 45600256 46408076 46819982 47628152 48330304 49164544 49528576 49933312 50079601 51350948 51695072 52624112 52976768 53054144 54321664 54765568 54926014 55171072 55332706 56287816 57117632 58103552 58619264 59012096 60687484 61636432 62700352 63624704 64722944 65202176 65297408 65393198 65488709 67502656 67601248 68101792 69277312 70298624 71721572 72358154 72843056 74692288 75192832 75860224 77169664 77395747 78536744 79892384 80483936 80601488 81141632 83080192 83201536 85264384 85514182 86212984 88272704 88994048 89652992 91200512 92816152 93639964 95256304 96660608 98329088 99057152 99866624 100159202 102701896 103390144 105248224 105953536 106108288 108643328 109852028 110665412 112575632 114235264 116207104 117238528 118024192 121374968 123272864 125400704 127249408 127622209 130594816 130786396 130977418 135005312 135202496 136203584 138554624 140597248 143443144 144716308 145686112 149384576 150385664 151720448 154339328 154791494 157073488 159784768 160967872 161202976 162283264 166160384 166403072 166890581 171028364 172425968 176545408 177988096 179305984 182401024 185632304 187279928 190512608 193321216 196658176 197234323 198114304 200318404 205403792 206780288 210496448 211907072 212216576 217286656 219704056 221330824 225151264 228470528 232414208 234477056 242749936 246545728 250801408 254498816 255244418 261572792 261954836 270010624 270404992 272407168 277109248 286886288 289432616 291372224 298769152 300771328 303440896 304329883 309582988 314146976 319569536 321935744 322405952 324566528 332806144 333781162 342056728 344851936 353090816 355976192 358611968 359662589 371264608 374559856 381025216 386642432 393316352 394468646 396228608 397969847 400636808 410807584 413560576 420992896 423814144 424433152 439408112 442661648 450302528 456941056 464828416 468954112 470328001 485499872 493091456 501602816 510488836 523145584 523909672 540021248 540809984 544814336 554218496 555842183 573772576 578865232 582744448 597538304 606881792 608659766 619165976 628293952 639139072 643871488 644811904 649133056 667562324 684113456 689703872 706181632 711952384 717223936 719325178 742529216 749119712 762050432 773284864 788937292 795939694 801273616 821615168 827121152 841985792 847628288 848866304 851353217 878816224 885323296 900605056 913882112 937908224 940656002 970999744 986182912 1003205632 1020977672 1046291168 1047819344 1080042496 1081619968 1089628672 1108436992 1111684366 1147545152 1157730464 1165488896 1195076608 1217319532 1238331952 1256587904 1278278144 1287742976 1289623808 1298266112 1335124648 1368226912 1379407744 1412363264 1438650356 1485058432 1498239424 1524100864 1546569728 1577874584 1591879388 1602547232 1643230336 1654242304 1683971584 1697732608 1702706434 1757632448 1770646592 1801210112 1827764224 1881312004 1941999488 1972365824 2006411264 2041955344 2092582336 2095638688 2160084992 2163239936 2169577553 2179257344 2223368732 2295090304 2315460928 2330977792 2390153216 2434639064 2476663904 2513175808 2556556288 2575485952 2579247616 2670249296 2736453824 2758815488 2824726528 2877300712 2970116864 2996478848 3048201728 3155749168 3183758776 3205094464 3286460672 3308484608 3367943168 3405412868 3515264896 3541293184 3602420224 3762624008 3883998976 3944731648 3956288479 4083910688 4185164672 4191277376 4326479872 4339155106 4358514688 4446737464 4590180608 4630921856 4661955584 4869278128 4953327808 5026351616 5113112576 5150971904 5158495232 5173608011 5340498592 5472907648 5517630976 5754601424 5940233728 5992957696 6096403456 6114264013 6311498336 6367517552 6410188928 6572921344 6735886336 6810825736 7030529792 7082586368 7204840448 7525248016 7767997952 7889463296 7912576958 8167821376 8370329344 8382554752 8678310212 8893474928 9180361216 9261843712 9323911168 9738556256 9906655616 10052703232 10316990464 10347216022 10680997184 10945815296 11035261952 11509202848 11880467456 11985915392 12192806912 12228528026 12622996672 12735035104 12820377856 13145842688 13621651472 14061059584 14165172736 14409680896 15050496032 15535995904 15825153916 16335642752 16740658688 16765109504 17356620424 17786949856 18360722432 18523687424 19477112512 19813311232 20105406464 20694432044 21361994368 21891630592 22070523904 23018405696 23760934912 23971830784 24457056052 25245993344 25470070208 25640755712 26291685376 27243302944 28122119168 28330345472 30100992064 31071991808 31650307832 32671285504 33481317376 33530219008 34713240848 35573899712 36721444864 37047374848 38954225024 39626622464 41388864088 42723988736 43783261184 46036811392 47943661568 48914112104 50491986688 50940140416 51281511424 54486605888 56244238336 56660690944 60201984128 63300615664 65342571008 66962634752 67060438016 67256904143 69426481696 71147799424 74094749696 77908450048 79253244928 82777728176 85447977472 87566522368 92073622784 97828224208 100983973376 101880280832 102563022848 108973211776 120403968256 126601231328 130685142016 134120876032 134513808286 138852963392 142295598848 155816900096 158506489856 165555456352 170895954944 184147245568 195656448416 201967946752 203760561664 217946423552 240807936512 253202462656 261370284032 269027616572 277705926784 284591197696 311633800192 331110912704 341791909888 368294491136 391312896832 403935893504 407521123328 435892847104 481615873024 506404925312 538055233144 555411853568 569182395392 623267600384 662221825408 736588982272 782625793664 815042246656 871785694208 963231746048 1012809850624 1076110466288 1110823707136 1138364790784 1324443650816 1565251587328 1743571388416 2025619701248 2152220932576 2221647414272 2648887301632 3130503174656 4051239402496 4304441865152 4443294828544 5297774603264 6261006349312 8102478804992 8608883730304 10595549206528 12522012698624 17217767460608 34435534921216 68871069842432 137742139684864
- Sum of all divisors σ(n): 362881568911680
- Sum of proper divisors (its aliquot sum) s(n): 225139429226816
- 137742139684864 is an abundant number, because the sum of its proper divisors (225139429226816) is greater than itself. Its abundance is 87397289541952
Bases of 137742139684864
- Binary: 111110101000110100101110100111001111000000000002
- Hexadecimal: 0x7D46974E7800
- Base-36: 1CTPV5KKXS
Squares and roots of 137742139684864
- 137742139684864 squared (1377421396848642) is 18972897044964586037230698496
- 137742139684864 cubed (1377421396848643) is 2613367434994055421820316299105088038764544
-
The
square root of 137742139684864 is 11736359.7288453969 -
The
cube root of 137742139684864 is 51644.2857000599
Scales and comparisons
How big is 137742139684864?- 137,742,139,684,864 seconds is equal to 4,379,773 years, 50 weeks, 5 days, 20 hours, 1 minute, 4 seconds.
-
To count from 1 to 137,742,139,684,864 would take you about ten million, nine hundred forty-nine thousand, four hundred thirty-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 137742139684864 cubic inches would be around 4303.7 feet tall.
Recreational maths with 137742139684864
- 137742139684864 backwards is 468486931247731
- The number of decimal digits it has is: 15
- The sum of 137742139684864's digits is 73
- More coming soon!
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Numbermatics. (2024). Number 137742139684864 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/137742139684864/
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The information we have on file for 137742139684864 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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