137906819309376
137,906,819,309,376 is an even composite number composed of six prime numbers multiplied together.
137906819309376 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 137906819309376:
26 × 32 × 132 × 172 × 312 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 17 × 17 × 31 × 31 × 5101)See below for interesting mathematical facts about the number 137906819309376 from the Numbermatics database.
Names of 137906819309376
- Cardinal: 137906819309376 can be written as One hundred thirty-seven trillion, nine hundred six billion, eight hundred nineteen million, three hundred nine thousand, three hundred seventy-six.
Scientific notation
- Scientific notation: 1.37906819309376 × 1014
Factors of 137906819309376
Divisors of 137906819309376
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 31 32 34 36 39 48 51 52 62 64 68 72 78 93 96 102 104 117 124 136 144 153 156 169 186 192 204 208 221 234 248 272 279 288 289 306 312 338 372 403 408 416 442 468 496 507 527 544 558 576 578 612 624 663 676 744 806 816 832 867 884 936 961 992 1014 1054 1088 1116 1156 1209 1224 1248 1326 1352 1488 1521 1581 1612 1632 1734 1768 1872 1922 1984 1989 2028 2108 2232 2312 2418 2448 2496 2601 2652 2704 2873 2883 2976 3042 3162 3224 3264 3468 3536 3627 3744 3757 3844 3978 4056 4216 4464 4624 4743 4836 4896 5101 5202 5239 5304 5408 5746 5766 5952 6084 6324 6448 6851 6936 7072 7254 7488 7514 7688 7956 8112 8432 8619 8649 8928 8959 9248 9486 9672 9792 10202 10404 10478 10608 10816 11271 11492 11532 12168 12493 12648 12896 13702 13872 14144 14508 15028 15303 15376 15717 15912 16224 16337 16864 17238 17298 17856 17918 18496 18972 19344 20404 20553 20808 20956 21216 22542 22984 23064 24336 24986 25296 25792 25857 26877 27404 27744 29016 30056 30606 30752 31434 31824 32448 32674 33728 33813 34476 34596 35836 37479 37944 38688 40808 41106 41616 41912 42432 45084 45909 45968 46128 47151 48672 48841 49011 49972 50592 51714 53754 54808 55488 58032 60112 61212 61504 61659 62868 63648 65348 66313 67626 68952 69192 71672 74958 75888 77376 80631 81616 82212 83232 83824 86717 89063 90168 91818 91936 92256 94302 97344 97682 98022 99944 101184 103428 107508 109616 112437 116064 116467 120224 122424 123318 125736 127296 130696 132626 135252 137904 138384 143344 146523 147033 149916 151776 158131 161262 162409 163232 164424 166464 167648 173434 178126 180336 183636 183872 184512 188604 195364 196044 198939 199888 206856 212381 215016 219232 224874 232128 232934 240448 244848 246636 251472 260151 261392 265252 267189 270504 275808 276768 277729 286688 293046 294066 299832 303552 316262 322524 324818 326464 328848 335296 346868 349401 356252 360672 367272 377208 390728 392088 397878 399776 413712 424762 430032 438464 439569 449748 465868 474393 487227 489696 493272 502944 520302 522784 530504 534378 541008 551616 553536 555458 573376 586092 588132 596817 599664 632524 637143 645048 649636 657696 693736 698802 712504 721344 734544 754416 780453 781456 784176 795756 799552 801567 827424 833187 849524 860064 862069 879138 899496 931736 948786 974454 979392 986544 1005888 1040604 1045568 1048203 1061008 1068756 1082016 1110916 1127321 1172184 1176264 1193634 1199328 1265048 1274286 1290096 1299272 1315392 1387472 1397604 1423179 1425008 1461681 1469088 1474189 1508832 1514071 1560906 1562912 1568352 1591512 1603134 1654848 1666374 1699048 1720128 1724138 1758276 1798992 1863472 1897572 1911429 1948908 1973088 2055703 2081208 2096406 2122016 2137512 2164032 2221832 2254642 2344368 2352528 2387268 2398656 2499561 2530096 2548572 2580192 2586207 2598544 2688227 2760953 2774944 2795208 2846358 2850016 2923362 2938176 2948378 3017664 3028142 3121812 3125824 3136704 3183024 3206268 3332748 3381963 3398096 3448276 3516552 3597984 3610477 3726944 3795144 3822858 3897816 3946176 4111406 4162416 4192812 4244032 4275024 4422567 4443664 4509284 4542213 4688736 4705056 4774536 4902061 4999122 5060192 5097144 5160384 5172414 5197088 5376454 5521906 5549888 5590416 5692716 5700032 5846724 5896756 6056284 6167109 6243624 6366048 6412536 6665496 6763926 6796192 6896552 7033104 7195968 7220954 7453888 7590288 7645716 7758621 7795632 8064681 8222812 8282859 8324832 8385624 8550048 8845134 8887328 9018568 9084426 9377472 9410112 9549072 9804122 9998244 10120384 10145889 10194288 10344828 10394176 10752908 10831431 11043812 11180832 11385432 11693448 11793512 12112568 12334218 12487248 12732096 12825072 13267701 13330992 13527852 13592384 13626639 13793104 14066208 14441908 14655173 14706183 15180576 15291432 15517242 15591264 16129362 16445624 16565718 16649664 16771248 17100096 17690268 17774656 18037136 18168852 18501327 19098144 19164457 19608244 19996488 20291778 20388576 20689656 21505816 21662862 22087624 22361664 22770864 23386896 23587024 24194043 24225136 24668436 24848577 24974496 25650144 26535402 26661984 26724139 27055704 27253278 27586208 28132416 28883816 29310346 29412366 30361152 30582864 31034484 31182528 32258724 32494293 32891248 33131436 33542496 34946951 35380536 36074272 36337704 37002654 38196288 38328914 39216488 39992976 40583556 40777152 41379312 43011632 43325724 43965519 44118549 44175248 45541728 45699859 46773792 46936201 47174048 48388086 48450272 49336872 49697154 49948992 51300288 53070804 53323968 53448278 54111408 54506556 55172416 57493371 57767632 58620692 58824732 61165728 62068968 63726793 64517448 64988586 65782496 66262872 67084992 69893902 70761072 72148544 72675408 74005308 76657828 78432976 79985952 80172417 81167112 82758624 83335037 86023264 86651448 87931038 88237098 88350496 91083456 91399718 93547584 93872402 94348096 96776172 96900544 98673744 99394308 104840853 106141608 106896556 108222816 109013112 114986742 115535264 117241384 117649464 122331456 124137936 127453586 129034896 129977172 131564992 131896557 132525744 137099577 139787804 140808603 141522144 145350816 148010616 153315656 156865952 159971904 160344834 162334224 165517248 166670074 172046528 172480113 173302896 175862076 176474196 176700992 182799436 187744804 191180379 193552344 197347488 198788616 209681706 212283216 213793112 216445632 218026224 229973484 231070528 234482768 235298928 240517251 248275872 249137941 250005111 254907172 258069792 259954344 263793114 265051488 274199154 279575608 281617206 283044288 290701632 296021232 306631312 313731904 314522559 320689668 324668448 333340148 344960226 346605792 351724152 352948392 365598872 375489608 382360758 387104688 394694976 397577232 411298731 419363412 422425809 424566432 427586224 436052448 454310363 459946968 468965536 470597856 481034502 496551744 498275882 500010222 509814344 516139584 519908688 527586228 530102976 548398308 559151216 563234412 573541137 592042464 594098167 613262624 629045118 641379336 649336896 666680296 689920452 693211584 703448304 705896784 731197744 747413823 750015333 750979216 764721516 774209376 795154464 822597462 828448309 838726824 844851618 849132864 855172448 872104896 908620726 919893936 937931072 941195712 962069004 996551764 1000020444 1019628688 1039817376 1055172456 1083355481 1096796616 1118302432 1126468824 1147082274 1184084928 1188196334 1226525248 1258090236 1282758672 1333360592 1362931089 1379840904 1406896608 1411793568 1416695629 1462395488 1494827646 1500030666 1501958432 1529443032 1548418752 1590308928 1645194924 1656896618 1677453648 1689703236 1710344896 1782294501 1817241452 1839787872 1924138008 1993103528 2000040888 2039257376 2079634752 2110344912 2166710962 2193593232 2236604864 2242241469 2252937648 2294164548 2376392668 2485344927 2516180472 2565517344 2666721184 2725862178 2759681808 2813793216 2823587136 2833391258 2924790976 2989655292 3000061332 3003916864 3058886064 3250066443 3290389848 3313793236 3354907296 3379406472 3564589002 3634482904 3679575744 3848276016 3986207056 4000081776 4078514752 4088793267 4220689824 4250086887 4333421924 4387186464 4484482938 4505875296 4588329096 4752785336 4970689854 5032360944 5131034688 5333442368 5346883503 5451724356 5519363616 5666782516 5979310584 6000122664 6117772128 6500132886 6580779696 6627586472 6709814592 6758812944 7129178004 7268965808 7456034781 7696552032 7723276171 7972414112 8000163552 8177586534 8441379648 8500173774 8666843848 8774372928 8968965876 9011750592 9176658192 9505570672 9750199329 9941379708 10064721888 10693767006 10903448712 11038727232 11333565032 11958621168 12000245328 12235544256 12750260661 13000265772 13161559392 13255172944 13517625888 14083621253 14258356008 14537931616 14912069562 15393104064 15446552342 15944828224 16000327104 16355173068 17000347548 17333687696 17937931752 18353316384 18417043177 19011141344 19500398658 19882759416 20129443776 21387534012 21806897424 22667130064 23169828513 23917242336 24000490656 25500521322 26000531544 26323118784 26510345888 27035251776 28167242506 28516712016 29075863232 29824139124 30893104684 32710346136 34000695096 34667375392 35875863504 36706632768 36834086354 38022282688 39000797316 39765518832 42250863759 42775068024 43613794848 45334260128 46339657026 47834484672 48000981312 51001042644 52001063088 53020691776 55251129531 56334485012 57033424032 59648278248 61786209368 65420692272 68001390192 69334750784 69509485539 71751727008 73668172708 78001594632 79531037664 84501727518 85550136048 87227589696 90668520256 92679314052 102002085288 104002126176 110502259062 112668970024 114066848064 119296556496 123572418736 126752591277 130841384544 136002780384 139018971078 143503454016 147336345416 156003189264 159062075328 165753388593 169003455036 171100272096 185358628104 204004170576 208004252352 221004518124 225337940048 238593112992 239421561301 247144837472 253505182554 261682769088 272005560768 278037942156 294672690832 312006378528 331506777186 338006910072 342200544192 370717256208 408008341152 442009036248 450675880096 477186225984 478843122602 494289674944 507010365108 556075884312 589345381664 624012757056 663013554372 676013820144 718264683903 741434512416 816016682304 884018072496 901351760192 957686245204 1014020730216 1112151768624 1178690763328 1326027108744 1352027640288 1436529367806 1482869024832 1768036144992 1915372490408 2028041460432 2154794051709 2224303537248 2652054217488 2704055280576 2873058735612 3536072289984 3830744980816 4056082920864 4309588103418 4448607074496 5304108434976 5746117471224 7661489961632 8112165841728 8619176206836 10608216869952 11492234942448 15322979923264 17238352413672 22984469884896 34476704827344 45968939769792 68953409654688 137906819309376
- Sum of all divisors σ(n): 469922501727666
- Sum of proper divisors (its aliquot sum) s(n): 332015682418290
- 137906819309376 is an abundant number, because the sum of its proper divisors (332015682418290) is greater than itself. Its abundance is 194108863108914
Bases of 137906819309376
- Binary: 111110101101100111011101111101000011111010000002
- Hexadecimal: 0x7D6CEEFA1F40
- Base-36: 1CVTINKGG0
Squares and roots of 137906819309376
- 137906819309376 squared (1379068193093762) is 19018290812028881165601509376
- 137906819309376 cubed (1379068193093763) is 2622751994587632675939363519131967508709376
-
The
square root of 137906819309376 is 11743373.4211842211 -
The
cube root of 137906819309376 is 51664.8588631105
Scales and comparisons
How big is 137906819309376?- 137,906,819,309,376 seconds is equal to 4,385,010 years, 14 weeks, 4 days, 9 minutes, 36 seconds.
-
To count from 1 to 137,906,819,309,376 would take you about ten million, nine hundred sixty-two thousand, five hundred twenty-five 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 137906819309376 cubic inches would be around 4305.4 feet tall.
Recreational maths with 137906819309376
- 137906819309376 backwards is 673903918609731
- 137906819309376 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137906819309376's digits is 72
- More coming soon!
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The information we have on file for 137906819309376 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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