137426505302016
137,426,505,302,016 is an even composite number composed of six prime numbers multiplied together.
137426505302016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137426505302016:
219 × 32 × 73 × 19 × 41 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 19 × 41 × 109)See below for interesting mathematical facts about the number 137426505302016 from the Numbermatics database.
Names of 137426505302016
- Cardinal: 137426505302016 can be written as One hundred thirty-seven trillion, four hundred twenty-six billion, five hundred five million, three hundred two thousand and sixteen.
Scientific notation
- Scientific notation: 1.37426505302016 × 1014
Factors of 137426505302016
Divisors of 137426505302016
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 41 42 48 49 56 57 63 64 72 76 82 84 96 98 109 112 114 123 126 128 133 144 147 152 164 168 171 192 196 218 224 228 246 252 256 266 287 288 294 304 327 328 336 342 343 369 384 392 399 436 441 448 456 492 504 512 532 574 576 588 608 654 656 672 684 686 738 763 768 779 784 798 861 872 882 896 912 931 981 984 1008 1024 1029 1064 1148 1152 1176 1197 1216 1308 1312 1344 1368 1372 1476 1526 1536 1558 1568 1596 1722 1744 1764 1792 1824 1862 1962 1968 2009 2016 2048 2058 2071 2128 2289 2296 2304 2337 2352 2394 2432 2583 2616 2624 2688 2736 2744 2793 2952 3052 3072 3087 3116 3136 3192 3444 3488 3528 3584 3648 3724 3924 3936 4018 4032 4096 4116 4142 4256 4469 4578 4592 4608 4674 4704 4788 4864 5166 5232 5248 5341 5376 5453 5472 5488 5586 5904 6027 6104 6144 6174 6213 6232 6272 6384 6517 6867 6888 6976 7011 7056 7168 7296 7448 7848 7872 8036 8064 8192 8232 8284 8379 8512 8938 9156 9184 9216 9348 9408 9576 9728 10332 10464 10496 10682 10752 10906 10944 10976 11172 11808 12054 12208 12288 12348 12426 12464 12544 12768 13034 13407 13734 13776 13952 14022 14063 14112 14336 14497 14592 14896 15696 15744 16023 16072 16128 16359 16384 16464 16568 16758 17024 17876 18081 18312 18368 18432 18639 18696 18816 19152 19456 19551 20664 20928 20992 21364 21504 21812 21888 21952 22344 23616 24108 24416 24576 24696 24852 24928 25088 25536 26068 26814 27468 27552 27904 28044 28126 28224 28672 28994 29184 29792 31283 31392 31488 32046 32144 32256 32718 32768 32928 33136 33516 34048 35752 36162 36624 36736 36864 37278 37387 37392 37632 38171 38304 38912 39102 40221 41328 41856 41984 42189 42728 43008 43491 43624 43776 43904 44688 47232 48069 48216 48832 49077 49152 49392 49704 49856 50176 51072 52136 53628 54936 55104 55808 56088 56252 56448 57344 57988 58368 58653 59584 62566 62784 62976 64092 64288 64512 65436 65536 65856 66272 67032 68096 71504 72324 73248 73472 73728 74556 74774 74784 75264 76342 76608 77824 78204 80442 82656 83712 83968 84378 84911 85456 86016 86982 87248 87552 87808 89376 93849 94464 96138 96432 97664 98154 98304 98784 99408 99712 100352 101479 102144 104272 107256 109872 110208 111616 112161 112176 112504 112896 114513 114688 115976 116736 117306 119168 125132 125568 125952 126567 128184 128576 129024 130473 130872 131072 131712 132544 134064 136192 143008 144648 146496 146944 147456 149112 149548 149568 150528 152684 153216 155648 156408 160884 165312 167424 167936 168756 169822 170912 172032 173964 174496 175104 175616 178752 187698 188928 192276 192864 195328 196308 196608 197568 198816 199424 200704 202958 204288 208544 214512 218981 219744 220416 223232 224322 224352 225008 225792 229026 229376 231952 233472 234612 238336 250264 251136 251904 253134 254733 256368 257152 258048 260946 261744 262144 263424 265088 267197 268128 272384 281547 286016 289296 292992 293888 294912 298224 299096 299136 301056 304437 305368 306432 311296 312816 321768 330624 334848 335872 336483 337512 339644 341824 343539 344064 347928 348992 350208 351232 357504 375396 377856 384552 385728 390656 392616 393216 395136 397632 398848 401408 405916 408576 417088 429024 437962 439488 440832 446464 448644 448704 450016 451584 458052 458752 463904 466944 469224 476672 500528 502272 503808 506268 509466 512736 514304 516096 521892 523488 524288 526848 530176 534394 536256 544768 563094 572032 578592 585984 587776 589824 594377 596448 598192 598272 602112 608874 610736 612864 622592 625632 643536 656943 661248 669696 671744 672966 675024 679288 683648 687078 688128 695856 697984 700416 702464 710353 715008 750792 755712 764199 769104 771456 781312 785232 786432 790272 795264 797696 801591 802816 811832 817152 834176 858048 875924 878976 881664 892928 897288 897408 900032 903168 913311 916104 917504 927808 933888 938448 953344 1001056 1004544 1007616 1012536 1018932 1025472 1028608 1032192 1043784 1046976 1053696 1060352 1068788 1072512 1089536 1126188 1144064 1157184 1171968 1175552 1179648 1188754 1192896 1196384 1196544 1204224 1217748 1221472 1225728 1245184 1251264 1287072 1313886 1322496 1339392 1343488 1345932 1350048 1358576 1367296 1374156 1376256 1391712 1395968 1400832 1404928 1420706 1430016 1501584 1511424 1528398 1532867 1538208 1542912 1562624 1570464 1572864 1580544 1590528 1595392 1603182 1605632 1623664 1634304 1668352 1716096 1751848 1757952 1763328 1783131 1785856 1794576 1794816 1800064 1806336 1826622 1832208 1835008 1855616 1867776 1876896 1906688 1970829 2002112 2009088 2015232 2025072 2037864 2050944 2057216 2064384 2087568 2093952 2107392 2120704 2131059 2137576 2145024 2179072 2252376 2288128 2314368 2343936 2351104 2359296 2377508 2385792 2392768 2393088 2404773 2408448 2435496 2442944 2451456 2490368 2502528 2574144 2627772 2644992 2678784 2686976 2691864 2700096 2717152 2734592 2748312 2752512 2783424 2791936 2801664 2809856 2841412 2860032 3003168 3022848 3056796 3065734 3076416 3085824 3125248 3140928 3161088 3181056 3190784 3206364 3211264 3247328 3268608 3336704 3432192 3503696 3515904 3526656 3566262 3571712 3589152 3589632 3600128 3612672 3653244 3664416 3670016 3711232 3735552 3753792 3813376 3941658 4004224 4018176 4030464 4050144 4075728 4101888 4114432 4128768 4160639 4175136 4187904 4214784 4241408 4262118 4275152 4290048 4358144 4504752 4576256 4598601 4628736 4687872 4702208 4718592 4755016 4771584 4785536 4786176 4809546 4816896 4870992 4885888 4902912 4980736 5005056 5148288 5255544 5289984 5349393 5357568 5373952 5383728 5400192 5434304 5469184 5496624 5505024 5566848 5583872 5603328 5619712 5682824 5720064 6006336 6045696 6113592 6131468 6152832 6171648 6250496 6281856 6322176 6362112 6381568 6393177 6412728 6422528 6494656 6537216 6673408 6864384 7007392 7031808 7053312 7132524 7143424 7178304 7179264 7200256 7225344 7306488 7328832 7422464 7471104 7507584 7626752 7883316 8008448 8036352 8060928 8100288 8151456 8203776 8228864 8257536 8321278 8350272 8375808 8429568 8482816 8524236 8550304 8580096 8716288 9009504 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131260416 131661824 133140448 133604352 134012928 134873088 135725056 136387776 136804864 137281536 144152064 146440192 147155232 148119552 149783004 150011904 150470656 152160512 152690688 153137152 153157632 153905472 155871744 156348416 156893184 160161792 164745216 168177408 169279488 171180576 171442176 172279296 172806144 173897728 174746838 175013888 175891968 178139136 178683904 179830784 181850368 183042048 192202752 193462272 195634944 196206976 196890624 197492736 199710672 200015872 201019392 202309632 203587584 204210176 204581664 205207296 207828992 209190912 213549056 219660288 220732848 224236544 225017856 225705984 228240768 229705728 229736448 230408192 231211008 232995784 233807616 234522624 237518848 240242688 244056064 252266112 256270336 257163264 259209216 260846592 262120257 262520832 263323648 266280896 267208704 268025856 269746176 271450112 272775552 273609728 274563072 288304128 292880384 294310464 296239104 299566008 300023808 304321024 305381376 306274304 306315264 307810944 311743488 312696832 313786368 320323584 329490432 336354816 338558976 342361152 344558592 345612288 347795456 349493676 350027776 351783936 356278272 357367808 363700736 366084096 384405504 391269888 392413952 393781248 394985472 399421344 400031744 402038784 404619264 407175168 408420352 409163328 410414592 415657984 427098112 439320576 441465696 448473088 450035712 451411968 456481536 459411456 459472896 460816384 465991568 467615232 469045248 475037696 480485376 488112128 504532224 512540672 514326528 518418432 521693184 524240514 525041664 526647296 532561792 534417408 536051712 539492352 542900224 545551104 547219456 549126144 576608256 585760768 588620928 592478208 599132016 600047616 608642048 610762752 612548608 612630528 615621888 623486976 625393664 627572736 640647168 658980864 672709632 677117952 684722304 689117184 691224576 695590912 698987352 700055552 703567872 712556544 714735616 727401472 732168192 768811008 782539776 784827904 787562496 789970944 798842688 804077568 809238528 814350336 818326656 820829184 831315968 854196224 878641152 882931392 896946176 900071424 912963072 918822912 918945792 921632768 931983136 935230464 938090496 950075392 960970752 1009064448 1025081344 1036836864 1043386368 1048481028 1050083328 1053294592 1065123584 1068834816 1072103424 1085800448 1091102208 1094438912 1098252288 1153216512 1171521536 1177241856 1184956416 1198264032 1200095232 1217284096 1221525504 1225097216 1225261056 1231243776 1246973952 1250787328 1281294336 1317961728 1345419264 1354235904 1369444608 1378234368 1382449152 1391181824 1397974704 1400111104 1407135744 1425113088 1429471232 1454802944 1464336384 1537622016 1565079552 1569655808 1575124992 1579941888 1597685376 1608155136 1618477056 1628700672 1636653312 1641658368 1662631936 1708392448 1757282304 1765862784 1793892352 1800142848 1825926144 1837645824 1837891584 1843265536 1863966272 1870460928 1876180992 1900150784 1921941504 2018128896 2050162688 2073673728 2086772736 2096962056 2100166656 2130247168 2137669632 2144206848 2182204416 2188877824 2196504576 2306433024 2343043072 2354483712 2369912832 2396528064 2434568192 2443051008 2450194432 2462487552 2493947904 2501574656 2562588672 2635923456 2690838528 2738889216 2756468736 2764898304 2782363648 2795949408 2800222208 2814271488 2850226176 2858942464 2909605888 3075244032 3130159104 3139311616 3150249984 3159883776 3195370752 3216310272 3257401344 3273306624 3283316736 3325263872 3416784896 3514564608 3531725568 3587784704 3600285696 3651852288 3675291648 3675783168 3686531072 3727932544 3740921856 3752361984 3800301568 3843883008 4036257792 4100325376 4147347456 4173545472 4193924112 4200333312 4260494336 4275339264 4288413696 4364408832 4377755648 4393009152 4612866048 4708967424 4739825664 4793056128 4869136384 4886102016 4900388864 4924975104 4987895808 5003149312 5125177344 5271846912 5381677056 5477778432 5512937472 5529796608 5564727296 5591898816 5628542976 5700452352 5819211776 6150488064 6260318208 6278623232 6300499968 6390741504 6432620544 6546613248 6566633472 6650527744 7029129216 7063451136 7175569408 7303704576 7350583296 7373062144 7455865088 7481843712 7504723968 7600603136 7687766016 8072515584 8200650752 8294694912 8347090944 8387848224 8400666624 8520988672 8550678528 8576827392 8728817664 8755511296 9225732096 9417934848 9479651328 9586112256 9738272768 9772204032 9800777728 9849950208 9975791616 10006298624 10250354688 10543693824 10763354112 10955556864 11025874944 11059593216 11129454592 11183797632 11257085952 11400904704 11638423552 12300976128 12520636416 12557246464 12600999936 12781483008 12865241088 13093226496 13133266944 13301055488 14126902272 14351138816 14607409152 14701166592 14911730176 14963687424 15009447936 15375532032 16145031168 16401301504 16589389824 16694181888 16775696448 17041977344 17101357056 17457635328 17511022592 18451464192 18835869696 19172224512 19476545536 19601555456 19699900416 19951583232 20012597248 21087387648 21526708224 21911113728 22051749888 22119186432 22258909184 22367595264 22514171904 22801809408 23276847104 24601952256 25041272832 25114492928 25201999872 25562966016 25730482176 26186452992 26266533888 26602110976 28253804544 28702277632 29214818304 29402333184 29823460352 29927374848 30018895872 30751064064 32290062336 33178779648 33388363776 33551392896 34083954688 34202714112 34915270656 35022045184 36902928384 37671739392 38344449024 38953091072 39399800832 39903166464 43053416448 43822227456 44103499776 44517818368 44735190528 45028343808 46553694208 49203904512 50082545664 50228985856 51125932032 52372905984 52533067776 53204221952 56507609088 57404555264 58429636608 58804666368 59646920704 59854749696 60037791744 64580124672 66357559296 66776727552 67102785792 68167909376 68405428224 69830541312 70044090368 73805856768 75343478784 76688898048 77906182144 78799601664 79806332928 86106832896 87644454912 88206999552 89470381056 90056687616 93107388416 100165091328 100457971712 102251864064 104745811968 105066135552 113015218176 114809110528 116859273216 119293841408 119709499392 129160249344 133553455104 134205571584 136335818752 139661082624 140088180736 147611713536 150686957568 153377796096 155812364288 157599203328 159612665856 172213665792 175288909824 176413999104 178940762112 180113375232 186214776832 200330182656 200915943424 204503728128 209491623936 210132271104 226030436352 233718546432 238587682816 239418998784 258320498688 268411143168 272671637504 279322165248 301373915136 306755592192 311624728576 315198406656 344427331584 350577819648 357881524224 372429553664 400660365312 401831886848 409007456256 418983247872 420264542208 452060872704 467437092864 477175365632 478837997568 516640997376 536822286336 545343275008 558644330496 602747830272 613511184384 630396813312 701155639296 715763048448 803663773696 818014912512 837966495744 904121745408 934874185728 954350731264 1033281994752 1073644572672 1090686550016 1117288660992 1205495660544 1227022368768 1260793626624 1402311278592 1431526096896 1636029825024 1675932991488 1808243490816 1908701462528 2147289145344 2181373100032 2410991321088 2454044737536 2804622557184 2863052193792 3272059650048 3351865982976 3616486981632 3817402925056 4294578290688 4908089475072 5726104387584 6544119300096 7232973963264 7634805850112 8589156581376 9816178950144 11452208775168 15269611700224 17178313162752 19632357900288 22904417550336 34356626325504 45808835100672 68713252651008 137426505302016
- Sum of all divisors σ(n): 503819316000000
- Sum of proper divisors (its aliquot sum) s(n): 366392810697984
- 137426505302016 is an abundant number, because the sum of its proper divisors (366392810697984) is greater than itself. Its abundance is 228966305395968
Bases of 137426505302016
- Binary: 111110011111101000110100000100000000000000000002
- Hexadecimal: 0x7CFD1A080000
- Base-36: 1CPOV50CG0
Squares and roots of 137426505302016
- 137426505302016 squared (1374265053020162) is 18886044359525031759373664256
- 137426505302016 cubed (1374265053020163) is 2595443075308376147991035659584501863940096
-
The
square root of 137426505302016 is 11722905.1562322213 -
The
cube root of 137426505302016 is 51604.8081199091
Scales and comparisons
How big is 137426505302016?- 137,426,505,302,016 seconds is equal to 4,369,737 years, 40 weeks, 4 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,426,505,302,016 would take you about ten million, nine hundred twenty-four thousand, three hundred forty-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 137426505302016 cubic inches would be around 4300.4 feet tall.
Recreational maths with 137426505302016
- 137426505302016 backwards is 610203505624731
- The number of decimal digits it has is: 15
- The sum of 137426505302016's digits is 45
- More coming soon!
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Cite this page
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"Number 137426505302016 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 137426505302016 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137426505302016/
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The information we have on file for 137426505302016 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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