138726973030464
138,726,973,030,464 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138726973030464 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2016 divisors.
138726973030464 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138726973030464:
26 × 32 × 7 × 13 × 31 × 37 × 732 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 31 × 37 × 73 × 73 × 433)See below for interesting mathematical facts about the number 138726973030464 from the Numbermatics database.
Names of 138726973030464
- Cardinal: 138726973030464 can be written as One hundred thirty-eight trillion, seven hundred twenty-six billion, nine hundred seventy-three million, thirty thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.38726973030464 × 1014
Factors of 138726973030464
Divisors of 138726973030464
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 32 36 37 39 42 48 52 56 62 63 64 72 73 74 78 84 91 93 96 104 111 112 117 124 126 144 146 148 156 168 182 186 192 208 217 219 222 224 234 248 252 259 273 279 288 292 296 312 333 336 364 372 403 416 433 434 438 444 448 468 481 496 504 511 518 546 558 576 584 592 624 651 657 666 672 728 744 777 806 819 832 866 868 876 888 936 949 962 992 1008 1022 1036 1092 1116 1147 1168 1184 1209 1248 1299 1302 1314 1332 1344 1443 1456 1488 1533 1554 1612 1638 1732 1736 1752 1776 1872 1898 1924 1953 1984 2016 2044 2072 2184 2232 2263 2294 2331 2336 2368 2418 2496 2598 2604 2628 2664 2701 2821 2847 2886 2912 2976 3031 3066 3108 3224 3276 3367 3441 3464 3472 3504 3552 3627 3744 3796 3848 3897 3906 4032 4088 4144 4329 4368 4464 4526 4588 4599 4662 4672 4836 5196 5208 5256 5328 5329 5402 5629 5642 5694 5772 5824 5952 6062 6132 6216 6448 6552 6643 6734 6789 6882 6928 6944 7008 7104 7254 7488 7592 7696 7794 7812 8029 8103 8176 8288 8463 8541 8658 8736 8928 9052 9093 9176 9198 9324 9672 10101 10323 10392 10416 10512 10656 10658 10804 11258 11284 11388 11544 12124 12264 12432 12896 13104 13286 13423 13468 13578 13764 13856 13888 14016 14508 14911 15184 15392 15588 15624 15841 15987 16021 16058 16206 16352 16576 16887 16926 17082 17316 17472 17856 18104 18186 18352 18396 18648 18907 19344 19929 20202 20367 20646 20784 20832 21024 21312 21316 21608 22516 22568 22776 23088 24087 24248 24309 24528 24864 25389 25792 26208 26572 26846 26936 27156 27279 27528 27712 29016 29419 29822 30303 30368 30784 31176 31248 31609 31682 31974 32042 32116 32412 32704 33774 33852 34164 34632 35113 36208 36372 36704 36792 37296 37303 37814 38688 39403 39858 40269 40404 40734 41292 41568 41664 42048 42632 43216 44733 45032 45136 45552 46176 47523 47961 48063 48174 48496 48618 49056 49728 50661 50778 52416 53144 53692 53872 54312 54558 55056 56721 58032 58838 59644 59787 60606 60736 62352 62496 63218 63364 63948 64084 64232 64824 67548 67704 68328 69264 69277 70226 72261 72416 72744 73408 73584 74592 74606 75628 77376 78806 79716 80538 80808 81468 82584 83136 83731 85264 86432 88257 89466 90064 90272 91104 92352 93961 94827 95046 95922 96126 96348 96992 97236 98112 101322 101556 104377 105339 106288 107384 107744 108624 109116 110112 111909 112147 113442 116064 117676 118209 119288 119574 120807 121212 124704 124992 126436 126728 127896 128168 128464 129648 134199 135096 135408 136656 138528 138554 140452 142569 144189 144522 144832 145488 147168 149184 149212 151256 157612 159432 161076 161616 162936 165168 165199 167462 170163 170528 172864 174499 176514 178932 180128 180544 182208 187922 189654 190092 191844 192252 192696 193984 194472 197173 202644 203112 205933 207831 208273 208754 210678 212576 214768 215488 217248 218232 220224 221263 223818 224294 226884 232128 235352 236418 238576 239148 241614 242424 245791 249408 251193 252872 253456 255792 256336 256928 259296 264771 268398 270192 270816 273312 277056 277108 280904 281883 284481 285138 288378 289044 290976 294336 298424 302512 313131 315224 316017 318864 322152 323232 325872 330336 330398 334924 335727 336441 340326 341056 348998 353028 354627 357864 360256 375844 379308 380184 383688 384504 385392 388944 394346 405288 406224 410917 411866 415662 416546 417508 421356 425152 429536 434496 436464 442526 447636 448588 453768 470704 472836 477152 478296 483228 484848 484939 491582 495597 496651 502386 505744 506912 511584 512672 513856 518592 523497 529542 536796 540384 541632 546624 554216 561808 563766 568962 570276 576756 578088 581952 586117 591519 596848 605024 617799 623493 624819 626262 630448 632034 637728 644304 646464 651744 660672 660796 663789 669848 671454 672882 680652 697996 706056 709254 715728 737373 751688 753579 758616 760368 767376 769008 770784 777888 788692 810576 812448 821834 823732 831324 833092 835016 842712 845649 859072 872928 885052 895272 897176 907536 939393 941408 945672 954304 956592 966456 969696 969878 979879 983164 991194 993302 1004772 1009323 1011488 1013824 1023168 1025344 1046994 1059084 1073592 1080768 1088503 1108432 1123616 1127532 1137924 1140552 1153512 1156176 1156393 1169533 1172234 1183038 1193696 1210048 1221493 1232751 1235598 1246986 1249638 1252524 1260896 1264068 1275456 1288608 1303488 1321592 1327578 1339696 1342908 1345764 1361304 1380211 1395992 1412112 1418508 1431456 1454817 1457911 1474746 1486791 1489953 1503376 1507158 1517232 1520736 1534752 1538016 1541568 1555776 1570491 1577384 1621152 1624896 1643668 1647464 1662648 1666184 1670032 1685424 1691298 1745856 1758351 1770104 1774557 1790544 1794352 1815072 1853397 1874457 1878786 1882816 1891344 1913184 1932912 1939392 1939756 1959758 1966328 1982388 1986604 1991367 2009544 2018646 2022976 2093988 2118168 2147184 2147587 2177006 2212119 2216864 2247232 2255064 2275848 2281104 2307024 2307457 2312352 2312786 2339066 2344468 2366076 2387392 2442986 2465502 2471196 2493972 2499276 2505048 2521792 2528136 2563249 2577216 2643184 2655156 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16562532 16751904 16945344 17180696 17258514 17416048 17457804 17494932 17637822 17696952 17879436 17942743 18040512 18206784 18337089 18459656 18502288 18712528 18755744 18928608 19328283 19369389 19543888 19593054 19724016 19769568 19951776 19994208 20040384 20225088 20505992 20577459 20767113 20815074 20859342 21051594 21100212 21241248 21486528 21532224 21986874 22083376 22696128 22858563 23011352 23069241 23277072 23326576 23517096 23595936 23788656 23839248 24114528 24449452 24560193 24843798 25127856 25476854 25771044 25825852 25887771 26124072 26242398 26298688 27060768 27436612 27689484 27753432 27812456 28068792 28133616 28392912 29315832 29586024 29654352 29991312 29996941 30060576 30066218 30407858 30478084 30758988 31036096 31289013 31356128 31718208 31785664 31861872 32298336 32304398 32746924 33125064 33503808 34361392 34517028 34832096 34915608 34989864 35275644 35393904 35758872 35885486 36255523 36674178 36919312 37004576 37425056 37511488 37857216 38215281 38656566 38738778 39087776 39186108 39448032 39539136 39903552 39988416 41011984 41154918 41534226 41630148 41718684 42103188 42200424 42482496 42786541 43973748 44166752 45099327 45195241 45611787 45717126 46022704 46138482 46554144 46653152 47034192 47191872 47577312 47678496 48229056 48456597 48898904 49120386 49687596 50255712 50953708 51542088 51651704 51775542 52248144 52484796 53828229 54121536 54873224 55011267 55378968 55506864 55624912 56137584 56267232 56785824 58108167 58631664 59172048 59308704 59982624 59993882 60121152 60132436 60815716 60956168 61517976 61732377 62578026 62712256 63723744 64596672 64608796 65493848 66250128 68575689 68722784 69034056 69664192 69831216 69979728 70551288 70787808 71517744 71531167 71770972 72511046 73348356 73680579 73838624 74009152 74850112 76430562 77313132 77477556 78175552 78372216 78896064 79460719 82023968 82309836 83068452 83260296 83437368 84206376 84400848 85375909 85573082 87947496 88333504 89168989 89990823 90198654 90390482 91223574 91434252 92045408 92276964 93108288 93306304 94068384 95154624 95356992 96913194 97797808 98240772 99375192 100511424 101907416 103084176 103303408 103551084 104496288 104969592 106427503 107656458 108766569 109746448 110022534 110757936 111013728 111249824 112275168 112534464 113571648 114645843 116216334 117263328 118344096 118617408 119965248 119987764 120264872 121631432 121912336 123035952 123464754 125156052 127447488 128359623 129217592 130987696 132500256 135297981 135585723 136835361 137151378 137445568 138068112 139662432 139959456 141102576 141575616 143035488 143062334 143541944 145022092 145369791 146696712 147361158 147677248 152861124 154626264 154955112 156744432 158921438 161484687 164047936 164619672 166136904 166520592 166874736 168412752 168801696 170751818 171146164 175894992 178337978 179981646 180397308 180780964 182447148 182868504 184090816 184553928 188136768 193826388 195595616 196481544 198750384 203814832 206168352 206606816 207102168 208992576 209939184 209978587 212855006 214593501 215312916 217533138 219492896 220045068 221515872 222027456 222499648 224550336 229291686 232432668 234526656 236688192 238382157 239975528 240529744 243262864 243824672 246071904 246929508 250312104 253788661 256127727 256719246 258435184 261975392 265000512 267506967 269972469 270595962 271171446 273670722 274302756 276136224 279324864 279918912 282205152 286070976 286124668 287083888 290044184 290739582 293393424 294722316 305722248 309252528 309910224 313488864 317842876 319282509 322969374 326299707 329239344 332273808 333041184 333749472 336825504 337603392 341503636 342292328 351789984 356675956 359963292 360794616 361561928 364894296 365737008 369107856 385078869 387652776 391191232 392963088 397500768 406757169 407629664 412336704 413213632 414204336 419878368 419957174 425710012 429187002 430625832 435066276 438985792 440090136 443031744 458583372 464865336 471321799 476764314 479951056 481059488 486525728 487649344 492143808 493859016 500624208 500718169 507577322 512255454 513438492 516870368 523950784 535013934 539944938 541191924 542342892 547341444 548605512 552272448 556225033 564410304 572249336 574167776 580088368 581479164 586786848 589444632 597631363 611444496 618505056 619820448 626977728 629935761 635685752 638565018 643780503 645938748 652599414 658478688 664547616 666082368 667498944 673651008 683007272 684584656 703579968 713351912 715146471 719926584 721589232 723123856 729788592 731474016 738215712 761365983 768383181 770157738 775305552 785926176 795001536 802520901 813514338 815259328 828408672 839756736 839914348 851420024 858374004 861251664 870132552 880180272 917166744 929730672 929905171 942643598 953528628 957847527 959902112 962118976 973051456 987718032 1001248416 1001436338 1015154644 1024510908 1026876984 1033740736 1070027868 1079889876 1082383848 1084685784 1094682888 1097211024 1109886817 1112450066 1144498672 1148335552 1160176736 1162958328 1173573696 1178889264 1195262726 1222888992 1237010112 1239640896 1259871522 1271371504 1277130036 1287561006 1291877496 1305198828 1316957376 1329095232 1366014544 1369169312 1413965397 1426703824 1430292942 1439853168 1443178464 1446247712 1459577184 1462948032 1476431424 1502154507 1522731966 1536766362 1540315476 1550611104 1571852352 1605041802 1627028676 1656817344 1668675099 1679828696 1702840048 1716748008 1722503328 1740265104 1760360544 1792894089 1834333488 1859461344 1859810342 1885287196 1889807283 1907057256 1915695054 1919804224 1975436064 2002496832 2002872676 2030309288 2049021816 2053753968 2140055736 2159779752 2164767696 2169371568 2189365776 2194422048 2219773634 2224900132 2284097949 2288997344 2320353472 2325916656 2357778528 2390525452 2445777984 2519743044 2542743008 2554260072 2575122012 2583754992 2610397656 2646653179 2732029088 2738338624 2789715513 2827930794 2853407648 2860585884 2879706336 2886356928 2892495424 2919154368 3004309014 3045463932 3073532724 3080630952 3101222208 3210083604 3254057352 3299252593 3329660451 3337350198 3359657392 3405680096 3433496016 3445006656 3480530208 3520721088 3585788178 3668666976 3718922688 3719620684 3770574392 3779614566 3814114512 3831390108 3950872128 4005745352 4060618576 4098043632 4107507936 4241896191 4280111472 4319559504 4329535392 4338743136 4378731552 4388844096 4439547268 4449800264 4506463521 4568195898 4577994688 4651833312 4715557056 4781050904 5006025297 5039486088 5085486016 5108520144 5150244024 5167509984 5220795312 5293306358 5378682267 5464058176 5579431026 5655861588 5706815296 5721171768 5759412672 6008618028 6090927864 6147065448 6161261904 6420167208 6508114704 6509336197 6598505186 6659320902 6674700396 6719314784 6811360192 6866992032 6961060416 7171576356 7337333952 7439241368 7541148784 7559229132 7628229024 7662780216 7769207719 7939959537 8011490704 8121237152 8196087264 8215015872 8369146539 8483792382 8560222944 8639119008 8659070784 8677486272 8757463104 8879094536 8899600528 9012927042 9136391796 9303666624 9562101808 9897757779 9988981353 10012050594 10078972176 10217040288 10300488048 10335019968 10441590624 10586612716 10757364534 11158862052 11311723176 11442343536 12017236056 12181855728 12294130896 12322523808 12840334416 13016229408 13018672394 13197010372 13318641804 13349400792 13438629568 13733984064 14343152712 14878482736 15082297568 15118458264 15256458048 15325560432 15538415438 15879919074 16022981408 16242474304 16392174528 16738293078 16967584764 17120445888 17278238016 17758189072 17799201056 18025854084 18272783592 18526572253 19124203616 19528008591 19795515558 19977962706 20024101188 20157944352 20434080576 20600976096 20883181248 21173225432 21514729068 22317724104 22623446352 22884687072 23307623157 23819878611 24034472112 24363711456 24588261792 24645047616 25680668832 26032458816 26037344788 26394020744 26637283608 26698801584 28686305424 29693273337 29756965472 30164595136 30236916528 30651120864 31076830876 31759838148 32045962816 33476586156 33935169528 34406491327 35516378144 35598402112 36051708168 36545567184 37053144506 38248407232 39056017182 39591031116 39955925412 40048202376 40315888704 41201952192 42346450864 43029458136 44635448208 45246892704 45769374144 46615246314 47639757222 48068944224 48727422912 49176523584 51361337664 52074689576 52788041488 53274567216 53397603168 55579716759 57372610848 58584025773 59386546674 59513930944 60473833056 61302241728 62153661752 63519676296 66953172312 67870339056 68812982654 69922869471 71032756288 72103416336 73091134368 74106289012 78112034364 79182062232 79911850824 80096404752 84692901728 86058916272 89270896416 90493785408 93230492628 95279514444 96137888448 103219473981 104149379152 105576082976 106549134432 106795206336 111159433518 114745221696 117168051546 118773093348 120947666112 124307323504 127039352592 133906344624 135740678112 137625965308 139845738942 144206832672 146182268736 148212578024 156224068728 158364124464 159823701648 160192809504 166739150277 169385803456 172117832544 178541792832 186460985256 190559028888 206438947962 208298758304 211152165952 213098268864 222318867036 234336103092 237546186696 240845439289 248614647008 254078705184 267812689248 271481356224 275251930616 279691477884 288413665344 296425156048 309658421943 312448137456 316728248928 319647403296 320385619008 333478300554 344235665088 372921970512 381118057776 412877895924 416597516608 444637734072 468672206184 475092373392 481690878578 497229294016 508157410368 535625378496 550503861232 559382955768 592850312096 619316843886 624896274912 633456497856 639294806592 666956601108 722536317867 745843941024 762236115552 825755791848 889275468144 937344412368 950184746784 963381757156 1101007722464 1118765911536 1185700624192 1238633687772 1249792549824 1333913202216 1445072635734 1491687882048 1524472231104 1651511583696 1778550936288 1874688824736 1900369493568 1926763514312 2167608953601 2202015444928 2237531823072 2477267375544 2667826404432 2890145271468 3303023167392 3557101872576 3749377649472 3853527028624 4335217907202 4475063646144 4954534751088 5335652808864 5780290542936 6606046334784 7707054057248 8670435814404 9909069502176 10671305617728 11560581085872 15414108114496 17340871628808 19818139004352 23121162171744 34681743257616 46242324343488 69363486515232 138726973030464
- Sum of all divisors σ(n): 527258230646784
- Sum of proper divisors (its aliquot sum) s(n): 388531257616320
- 138726973030464 is an abundant number, because the sum of its proper divisors (388531257616320) is greater than itself. Its abundance is 249804284585856
Bases of 138726973030464
- Binary: 111111000101011111000111111001011000000010000002
- Hexadecimal: 0x7E2BE3F2C040
- Base-36: 1D6AAHX1S0
Squares and roots of 138726973030464
- 138726973030464 squared (1387269730304642) is 19245173046195086011872055296
- 138726973030464 cubed (1387269730304643) is 2669824602146118401580939394768369300537344
-
The
square root of 138726973030464 is 11778241.5084113469 -
The
cube root of 138726973030464 is 51767.0761984481
Scales and comparisons
How big is 138726973030464?- 138,726,973,030,464 seconds is equal to 4,411,088 years, 32 weeks, 5 days, 22 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,726,973,030,464 would take you about eleven million, twenty-seven thousand, seven hundred twenty-one 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 138726973030464 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138726973030464
- 138726973030464 backwards is 464030379627831
- 138726973030464 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138726973030464's digits is 63
- More coming soon!
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MLA style:
"Number 138726973030464 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 138726973030464 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138726973030464/
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Numbermatics. 2024. "Number 138726973030464 - Facts about the integer". https://numbermatics.com/n/138726973030464/
The information we have on file for 138726973030464 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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