138389416349184
138,389,416,349,184 is an even composite number composed of seven prime numbers multiplied together.
138389416349184 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138389416349184:
29 × 32 × 7 × 112 × 13 × 612 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 13 × 61 × 61 × 733)See below for interesting mathematical facts about the number 138389416349184 from the Numbermatics database.
Names of 138389416349184
- Cardinal: 138389416349184 can be written as One hundred thirty-eight trillion, three hundred eighty-nine billion, four hundred sixteen million, three hundred forty-nine thousand, one hundred eighty-four.
Scientific notation
- Scientific notation: 1.38389416349184 × 1014
Factors of 138389416349184
Divisors of 138389416349184
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 61 63 64 66 72 77 78 84 88 91 96 99 104 112 117 121 122 126 128 132 143 144 154 156 168 176 182 183 192 198 208 224 231 234 242 244 252 256 264 273 286 288 308 312 336 352 363 364 366 384 396 416 427 429 448 462 468 484 488 504 512 528 546 549 572 576 616 624 671 672 693 704 726 728 732 733 768 792 793 819 832 847 854 858 896 924 936 968 976 1001 1008 1056 1089 1092 1098 1144 1152 1232 1248 1281 1287 1342 1344 1386 1408 1452 1456 1464 1466 1536 1573 1584 1586 1638 1664 1694 1708 1716 1792 1848 1872 1936 1952 2002 2013 2016 2112 2178 2184 2196 2199 2288 2304 2379 2464 2496 2541 2562 2574 2684 2688 2772 2816 2904 2912 2928 2932 3003 3146 3168 3172 3276 3328 3388 3416 3432 3584 3696 3721 3744 3843 3872 3904 4004 4026 4032 4224 4356 4368 4392 4398 4576 4608 4697 4719 4758 4928 4992 5082 5124 5131 5148 5368 5376 5544 5551 5632 5808 5824 5856 5864 6006 6039 6292 6336 6344 6552 6597 6656 6776 6832 6864 7137 7381 7392 7442 7488 7623 7686 7744 7808 8008 8052 8063 8064 8448 8712 8723 8736 8784 8796 9009 9152 9394 9438 9516 9529 9856 9984 10164 10248 10262 10296 10736 10752 11011 11088 11102 11163 11616 11648 11712 11728 12012 12078 12584 12672 12688 13104 13194 13552 13664 13728 14091 14157 14274 14762 14784 14884 14976 15246 15372 15393 15488 15616 16016 16104 16126 16128 16653 16896 17424 17446 17472 17568 17592 18018 18304 18788 18876 19032 19058 19712 19968 20328 20496 20524 20592 21472 22022 22143 22176 22204 22326 23232 23296 23424 23456 24024 24156 24189 25168 25344 25376 26047 26169 26208 26388 27104 27328 27456 28182 28314 28548 28587 29524 29568 29768 29952 30492 30744 30786 30976 31232 32032 32208 32252 32256 33033 33306 33489 34848 34892 34944 35136 35184 36036 36608 37576 37752 38064 38116 39424 40656 40931 40992 41048 41184 42273 42944 44044 44286 44352 44408 44652 44713 46179 46464 46592 46848 46912 48048 48312 48373 48378 49959 50336 50688 50752 51667 52094 52338 52416 52776 54208 54656 54912 56364 56441 56628 57096 57174 59048 59136 59536 59904 60984 61061 61488 61572 61952 64064 64416 64504 66066 66429 66612 66703 66978 69696 69784 69888 70272 70368 72072 72567 73216 75152 75504 76128 76232 78141 78507 81312 81862 81984 82096 82368 84546 85761 85888 88088 88572 88693 88704 88816 89304 89426 92358 92928 93696 93824 95953 96096 96624 96746 96756 99099 99918 100672 101504 103334 104188 104676 104819 104832 105552 108416 109312 109824 112728 112882 113256 114192 114348 118096 118272 119072 121968 122122 122793 122976 123144 128128 128832 129008 132132 132858 133224 133406 133956 134139 139392 139568 139776 140544 140736 144144 145119 145134 150304 151008 152256 152464 155001 156282 157014 162624 163724 163968 164192 164736 169092 169323 171522 171776 176176 177144 177386 177408 177632 178608 178852 183183 184716 185856 187648 191906 192192 193248 193492 193512 198198 199836 200109 201344 203008 206668 208376 209352 209638 209664 211104 216832 218624 219648 225456 225764 226512 228384 228696 234423 236192 238144 243936 244244 245586 245952 246288 256256 257664 258016 264264 265716 266079 266448 266812 267912 268278 278784 279136 281088 281472 286517 287859 288288 290238 290268 300608 302016 304512 304928 310002 312564 312991 314028 314457 325248 327448 327936 328384 329472 338184 338611 338646 343044 343552 352352 354288 354772 354816 355264 357216 357704 366366 368379 369432 375296 383812 384384 386496 386984 387024 396396 399672 400218 402417 402688 406016 413336 416752 418704 419276 419328 422208 433664 435357 450241 450912 451528 453024 456768 457392 465003 468846 472384 476288 487872 488488 491172 491843 491904 492576 507969 512512 515328 516032 528528 531432 532103 532158 532896 533624 535824 536556 549549 557568 558272 562944 573034 575718 576576 580476 580536 581269 600327 601216 604032 609024 609856 620004 620851 625128 625982 628056 628914 650496 654896 655872 656768 658944 671671 676368 677222 677292 686088 704704 708576 709544 710528 714432 715408 732732 733733 736758 738864 767624 768768 772992 773968 774048 792792 798237 799344 800436 804834 805376 826672 833504 837408 838552 844416 859551 863577 870714 900482 901824 903056 906048 913536 914784 930006 937692 938973 943371 944768 952576 975744 976976 982344 983686 983808 985152 1015833 1015938 1030656 1032064 1057056 1062864 1064206 1064316 1065792 1067248 1071648 1073112 1099098 1116544 1125888 1146068 1151436 1153009 1153152 1160952 1161072 1162538 1200654 1202432 1208064 1218048 1219712 1240008 1241702 1250256 1251964 1256112 1257828 1300992 1309792 1313536 1343342 1350723 1352736 1354444 1354584 1372176 1409408 1417152 1419088 1421056 1428864 1430816 1465464 1467466 1473516 1475529 1477728 1535248 1537536 1545984 1547936 1548096 1585584 1596309 1596474 1598688 1600872 1609668 1653344 1667008 1674816 1677104 1688832 1719102 1727154 1741428 1743807 1800964 1803648 1806112 1812096 1827072 1829568 1860012 1862553 1875384 1877946 1886742 1889536 1905152 1951488 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613820064 630050883 633001941 638233362 655550896 660053306 660135168 661036992 664133184 669621888 681694398 687328236 691570176 692514944 698238208 715146432 715220352 716123408 720058152 721131264 737494758 744605589 749201024 755470848 773764992 774822048 779079312 780062998 780159744 781225536 785517984 805638834 806831872 817310208 818426752 840067844 842851152 844002588 845260416 850977816 881382656 885510912 892829184 907685856 908925864 916437648 920730096 953528576 953627136 960077536 983326344 984669686 990079959 991555488 992807452 1031686656 1033096064 1037355264 1038772416 1041634048 1047357312 1072719648 1074185112 1080087228 1123801536 1125336784 1127013888 1133206272 1134637088 1162233072 1170094497 1171838304 1210247808 1211901152 1221916864 1225965312 1227640128 1260101766 1266003882 1276466724 1311101792 1320106612 1320270336 1322073984 1328266368 1339243776 1363388796 1374656472 1385029888 1396476416 1430292864 1430440704 1432246816 1440116304 1442262528 1474989516 1477004529 1489211178 1498402048 1547529984 1549644096 1558158624 1560125996 1560319488 1562451072 1571035968 1611277668 1613663744 1636853504 1680135688 1685702304 1688005176 1690520832 1701955632 1762765312 1771021824 1815371712 1817851728 1832875296 1841460192 1890152649 1907057152 1920155072 1966652688 1969339372 1980159918 1983110976 1985614904 2066192128 2074710528 2077544832 2083268096 2094714624 2145439296 2148370224 2160174456 2233816767 2247603072 2250673568 2266412544 2269274176 2310186571 2324466144 2340188994 2343676608 2420495616 2423802304 2443833728 2451930624 2455280256 2520203532 2532007764 2552933448 2622203584 2640213224 2644147968 2656532736 2678487552 2726777592 2730220493 2749312944 2770059776 2860585728 2860881408 2864493632 2880232608 2949979032 2954009058 2970239877 2978422356 2996804096 3095059968 3099288192 3116317248 3120251992 3124902144 3142071936 3222555336 3273707008 3360271376 3371404608 3376010352 3381041664 3403911264 3510283491 3630743424 3635703456 3665750592 3682920384 3780305298 3840310144 3933305376 3938678744 3960319836 3966221952 3971229808 4132384256 4155089664 4189429248 4290346489 4290878592 4296740448 4320348912 4431013587 4467633534 4495206144 4501347136 4538548352 4620373142 4648932288 4680377988 4687353216 4840991232 4847604608 4887667456 4910560512 5040407064 5064015528 5105866896 5244407168 5280426448 5288295936 5313065472 5453555184 5460440986 5498625888 5721171456 5728987264 5760465216 5899958064 5908018116 5940479754 5956844712 6198576384 6232634496 6240503984 6249804288 6284143872 6445110672 6720542752 6742809216 6752020704 6807822528 6930559713 7020566982 7261486848 7271406912 7331501184 7365840768 7560610596 7680620288 7866610752 7877357488 7920639672 7932443904 7942459616 8190661479 8310179328 8580692978 8581757184 8593480896 8640697824 8862027174 8935267068 8990412288 9002694272 9077096704 9240746284 9297864576 9360755976 9374706432 9695209216 9775334912 9821121024 10080814128 10128031056 10211733792 10488814336 10560852896 10907110368 10920881972 10997251776 11457974528 11520930432 11799916128 11816036232 11880959508 11913689424 12397152768 12465268992 12481007968 12568287744 12871039467 12890221344 13441085504 13485618432 13504041408 13615645056 13861119426 14041133964 14522973696 14542813824 14663002368 14731681536 15121221192 15361240576 15733221504 15754714976 15841279344 15864887808 15884919232 16381322958 17161385956 17163514368 17186961792 17281395648 17724054348 17870534136 18005388544 18154193408 18481492568 18595729152 18721511952 18749412864 19390418432 20161628256 20256062112 20423467584 20791679139 20977628672 21121705792 21814220736 21841763944 21994503552 22915949056 23041860864 23599832256 23632072464 23761919016 23827378848 24571984437 24930537984 24962015936 25742078934 25780442688 26882171008 26971236864 27008082816 27231290112 27722238852 28082267928 29085627648 29326004736 29463363072 30032425423 30242442384 31466443008 31509429952 31682558688 31769838464 32762645916 34322771912 34373923584 34562791296 35448108696 35741068272 36010777088 36962985136 37191458304 37443023904 38613118401 40323256512 40512124224 40846935168 41583358278 42243411584 43628441472 43683527888 43989007104 46083721728 47199664512 47264144928 47523838032 47654757696 49143968874 49924031872 51484157868 51560885376 53764342016 54016165632 54462580224 55444477704 56164535856 58171255296 60064850846 60484884768 62932886016 63018859904 63365117376 63539676928 65525291832 68645543824 68747847168 69125582592 70896217392 71482136544 73925970272 74886047808 77226236802 80646513024 81024248448 81693870336 83166716556 84486823168 87256882944 87367055776 87978014208 90097276269 94399329024 94528289856 95047676064 95309515392 98287937748 99848063744 102968315736 103121770752 107528684032 108032331264 110888955408 112329071712 120129701692 120969769536 126037719808 126730234752 127079353856 131050583664 137291087648 138251165184 141792434784 142964273088 147851940544 149772095616 154452473604 161293026048 162048496896 163387740672 166333433112 168973646336 174513765888 174734111552 180194552538 188798658048 189056579712 190095352128 190619030784 196575875496 199696127488 205936631472 206243541504 221777910816 224658143424 240259403384 241939539072 252075439616 253460469504 262101167328 270291828807 274582175296 283584869568 285928546176 295703881088 299544191232 308904947208 322586052096 324096993792 332666866224 349468223104 360389105076 378113159424 380190704256 381238061568 393151750992 411873262944 443555821632 449316286848 480518806768 483879078144 506920939008 524202334656 540583657614 549164350592 567169739136 571857092352 591407762176 599088382464 617809894416 665333732448 698936446208 720778210152 756226318848 760381408512 786303501984 823746525888 887111643264 898632573696 961037613536 967758156288 1048404669312 1081167315228 1098328701184 1134339478272 1143714184704 1182815524352 1235619788832 1330667464896 1397872892416 1441556420304 1520762817024 1572607003968 1647493051776 1774223286528 1797265147392 1922075227072 2096809338624 2162334630456 2196657402368 2268678956544 2471239577664 2661334929792 2883112840608 3145214007936 3294986103552 3548446573056 3844150454144 4193618677248 4324669260912 4942479155328 5322669859584 5766225681216 6290428015872 6589972207104 7688300908288 8649338521824 9884958310656 10645339719168 11532451362432 12580856031744 15376601816576 17298677043648 19769916621312 23064902724864 34597354087296 46129805449728 69194708174592 138389416349184
- Sum of all divisors σ(n): 550073915078688
- Sum of proper divisors (its aliquot sum) s(n): 411684498729504
- 138389416349184 is an abundant number, because the sum of its proper divisors (411684498729504) is greater than itself. Its abundance is 273295082380320
Bases of 138389416349184
- Binary: 111110111011101010011000000000010001110000000002
- Hexadecimal: 0x7DDD4C008E00
- Base-36: 1D1Z7XDVK0
Squares and roots of 138389416349184
- 138389416349184 squared (1383894163491842) is 19151630557467795795017465856
- 138389416349184 cubed (1383894163491843) is 2650382974983165663458557616499158893461504
-
The
square root of 138389416349184 is 11763903.1086278503 -
The
cube root of 138389416349184 is 51725.0547747585
Scales and comparisons
How big is 138389416349184?- 138,389,416,349,184 seconds is equal to 4,400,355 years, 19 weeks, 2 days, 21 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,389,416,349,184 would take you about eleven million, eight hundred eighty-eight 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 138389416349184 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138389416349184
- 138389416349184 backwards is 481943614983831
- 138389416349184 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138389416349184's digits is 72
- More coming soon!
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MLA style:
"Number 138389416349184 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 138389416349184 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/138389416349184/
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Numbermatics. 2024. "Number 138389416349184 - Facts about the integer". https://numbermatics.com/n/138389416349184/
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