138458962721664
138,458,962,721,664 is an even composite number composed of five prime numbers multiplied together.
138458962721664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138458962721664:
27 × 38 × 13 × 193 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 19 × 19 × 43 × 43)See below for interesting mathematical facts about the number 138458962721664 from the Numbermatics database.
Names of 138458962721664
- Cardinal: 138458962721664 can be written as One hundred thirty-eight trillion, four hundred fifty-eight billion, nine hundred sixty-two million, seven hundred twenty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38458962721664 × 1014
Factors of 138458962721664
Divisors of 138458962721664
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 43 48 52 54 57 64 72 76 78 81 86 96 104 108 114 117 128 129 144 152 156 162 171 172 192 208 216 228 234 243 247 258 288 304 312 324 342 344 351 361 384 387 416 432 456 468 486 494 513 516 559 576 608 624 648 684 688 702 722 729 741 774 817 832 864 912 936 972 988 1026 1032 1053 1083 1118 1152 1161 1216 1248 1296 1368 1376 1404 1444 1458 1482 1539 1548 1634 1664 1677 1728 1824 1849 1872 1944 1976 2052 2064 2106 2166 2187 2223 2236 2322 2432 2451 2496 2592 2736 2752 2808 2888 2916 2964 3078 3096 3159 3249 3268 3354 3456 3483 3648 3698 3744 3888 3952 4104 4128 4212 4332 4374 4446 4472 4617 4644 4693 4902 4992 5031 5184 5472 5504 5547 5616 5776 5832 5928 6156 6192 6318 6498 6536 6561 6669 6708 6859 6966 7296 7353 7396 7488 7776 7904 8208 8256 8424 8664 8748 8892 8944 9234 9288 9386 9477 9747 9804 10062 10368 10449 10621 10944 11094 11232 11552 11664 11856 12312 12384 12636 12996 13072 13122 13338 13416 13718 13851 13932 14079 14706 14792 14976 15093 15523 15552 15808 16416 16512 16641 16848 17328 17496 17784 17888 18468 18576 18772 18954 19494 19608 20007 20124 20577 20898 21242 21888 22059 22188 22464 23104 23328 23712 24037 24624 24768 25272 25992 26144 26244 26676 26832 27436 27702 27864 28158 28431 29241 29412 29584 30186 31046 31104 31347 31616 31863 32832 33282 33696 34656 34992 35131 35568 35776 36936 37152 37544 37908 38988 39216 40014 40248 41154 41553 41796 42237 42484 44118 44376 44928 45279 46208 46569 46656 47424 48074 49248 49536 49923 50544 51984 52288 52488 53352 53664 54872 55404 55728 56316 56862 58482 58824 59168 60021 60372 61731 62092 62694 63726 65664 66177 66564 67392 69312 69984 70262 71136 71552 72111 73872 74304 75088 75816 77976 78432 80028 80496 82308 83106 83592 84474 84968 85293 87723 88236 88752 89167 90558 93138 93312 94041 94848 95589 96148 98496 99846 101088 103968 104576 104976 105393 106704 107328 109744 110808 111456 112632 113724 116964 117648 118336 120042 120744 123462 124184 124659 125388 126711 127452 132354 133128 134784 135837 138624 139707 139968 140524 142272 144222 147744 148608 149769 150176 151632 155952 156864 160056 160992 164616 166212 167184 168948 169936 170586 175446 176472 177504 178334 180063 181116 185193 186276 188082 191178 192296 196992 198531 199692 201799 202176 207936 209952 210786 213408 214656 216333 219488 221616 222912 225264 227448 233928 235296 236672 240084 241488 246924 248368 249318 250776 253422 254904 263169 264708 266256 267501 271674 279414 279936 281048 282123 284544 286767 288444 294937 295488 299538 300352 303264 311904 313728 316179 320112 321984 329232 332424 334368 337896 339872 341172 350892 352944 355008 356668 360126 362232 370386 372552 376164 380133 382356 384592 397062 399384 403598 404352 407511 415872 419121 419904 421572 426816 432666 438976 443232 445824 449307 450528 454896 456703 467856 470592 480168 482976 493848 496736 498636 501552 506844 509808 526338 529416 532512 535002 540189 543348 555579 558828 562096 564246 573534 576888 589874 590976 595593 599076 600704 605397 606528 623808 632358 640224 643968 648999 658464 664848 667489 668736 675792 679744 682344 701784 705888 710016 713336 720252 724464 740772 745104 752328 760266 764712 769184 789507 794124 798768 802503 807196 815022 838242 839808 843144 853632 860301 865332 877952 884811 886464 898614 901056 909792 913406 935712 941184 948537 960336 965952 987696 993472 997272 1003104 1013688 1019616 1052676 1058832 1065024 1070004 1080378 1086696 1111158 1117656 1124192 1128492 1140399 1147068 1153776 1179748 1191186 1198152 1210794 1213056 1222533 1247616 1257363 1264716 1280448 1297998 1316928 1329696 1334978 1337472 1347921 1351584 1359488 1364688 1370109 1403568 1411776 1426672 1440504 1448928 1481544 1490208 1504656 1520532 1529424 1538368 1579014 1588248 1597536 1605006 1614392 1620567 1630044 1666737 1676484 1686288 1720602 1730664 1769622 1772928 1786779 1797228 1802112 1816191 1819584 1826812 1871424 1897074 1920672 1931904 1946997 1975392 1986944 1994544 2002467 2006208 2027376 2039232 2105352 2117664 2130048 2140008 2160756 2173392 2222316 2235312 2248384 2256984 2280798 2294136 2307552 2359496 2368521 2382372 2396304 2407509 2421588 2445066 2514726 2529432 2560896 2580903 2595996 2633856 2654433 2659392 2669956 2695842 2703168 2729376 2740218 2807136 2823552 2845611 2853344 2881008 2897856 2963088 2980416 3009312 3041064 3058848 3076736 3158028 3176496 3195072 3210012 3228784 3241134 3260088 3333474 3352968 3372576 3421197 3441204 3461328 3539244 3573558 3594456 3632382 3639168 3653624 3667599 3742848 3772089 3794148 3834181 3841344 3893994 3950784 3989088 4004934 4012416 4043763 4054752 4078464 4110327 4210704 4235328 4280016 4321512 4346784 4444632 4470624 4496768 4513968 4561596 4588272 4615104 4718992 4737042 4764744 4792608 4815018 4843176 4890132 5000211 5029452 5058864 5161806 5191992 5308866 5318784 5339912 5360337 5391684 5406336 5448573 5458752 5480436 5614272 5691222 5706688 5762016 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16219008 16345719 16441308 16842816 17073666 17120064 17286048 17354714 17387136 17522973 17778528 17882496 18022203 18055872 18246384 18353088 18875968 18948168 19058976 19170432 19260072 19372704 19560528 20000844 20117808 20235456 20527182 20647224 20767968 21235464 21359648 21441348 21566736 21667581 21794292 21921744 22632534 22764888 23005086 23048064 23228127 23363964 23704704 23889897 24029604 24262578 24328512 24661962 25264224 25364582 25411968 25610499 25680096 25830272 25929072 26032071 26080704 26667792 26823744 27369576 27529632 27690624 28313952 28588464 28755648 28890108 29059056 29228992 29340792 30001266 30176712 30353184 30673448 30790773 30970836 31151952 31853196 32039472 32350104 32691438 32882616 33685632 33948801 34147332 34240128 34507629 34572096 34709428 35045946 35557056 36044406 36111744 36492768 36706176 36992943 37751936 37896336 38046873 38117952 38520144 38745408 39121056 40001688 40235616 40470912 41054364 41294448 41535936 42470928 42719296 42882696 43133472 43335162 43588584 43843488 45001899 45265068 45529776 46010172 46456254 46727928 47779794 48059208 48525156 48657024 49037157 49323924 50528448 50729164 51220998 51360192 51858144 52064142 52161408 52568919 53335584 53647488 54066609 54739152 55059264 56627904 57176928 57511296 57780216 58118112 58457984 58681584 60002532 60353424 60706368 61346896 61581546 61941672 62303904 63706392 64078944 64700208 65002743 65382876 65765232 67897602 68294664 69015258 69144192 69418856 69684381 70091892 71114112 71669691 72088812 72985536 73985886 75792672 76093746 76235904 76831497 77040288 77490816 78096213 78242112 80003376 80471232 82108728 82588896 83071872 84941856 85438592 85765392 86266944 86670324 87177168 87686976 90003798 90530136 91059552 92020344 92912508 93455856 95559588 96118416 97050312 98074314 98647848 101056896 101458328 101846403 102441996 102720384 103522887 103716288 104128284 105137838 106671168 108133218 109478304 110118528 110978829 113255808 114140619 114353856 115560432 116236224 117363168 120005064 120706848 121412736 122693792 123163092 123883344 124607808 127412784 128157888 129400416 130005486 130765752 131530464 135795204 136589328 138030516 138837712 139368762 140183784 143339382 144177624 145971072 147111471 147971772 151585344 152187492 153662994 154080576 156192426 156484224 157706757 160006752 160942464 162199827 164217456 164869783 165177792 169883712 171530784 172533888 173340648 174354336 175373952 180007596 181060272 182119104 184040688 185825016 186911712 191119176 192236832 194100624 195008229 196148628 197295696 202916656 203692806 204883992 207045774 207432576 208256568 210275676 213342336 215009073 216266436 218956608 221957658 228281238 228707712 230494491 231120864 232472448 234288639 234726336 240010128 241413696 245387584 246326184 247766688 249215616 254825568 256315776 258800832 260010972 261531504 263060928 271590408 273178656 276061032 277675424 278737524 280367568 286678764 288355248 294222942 295943544 303170688 304374984 307325988 308161152 310568661 312384852 315413514 320013504 324399654 328434912 329739566 330355584 332936487 339767424 342421857 343061568 346681296 348708672 360015192 362120544 364238208 368081376 371650032 373823424 382238352 384473664 388201248 390016458 392297256 394591392 405833312 407385612 409767984 414091548 416513136 420551352 430018146 432532872 437913216 441334413 443915316 456562476 460988982 462241728 468577278 469452672 480020256 482827392 486599481 490775168 492652368 494609349 495533376 509651136 517601664 520021944 523063008 526121856 543180816 546357312 552122064 555350848 557475048 560735136 573357528 576710496 585024687 588445884 591887088 608749968 614651976 621137322 624769704 630827028 640027008 645027219 648799308 656869824 659479132 665872974 684843714 686123136 693362592 697417344 702865917 720030384 724241088 736162752 743300064 747646848 764476704 768947328 776402496 780032916 784594512 789182784 811666624 814771224 819535968 828183096 833026272 841102704 860036292 865065744 882668826 887830632 913124952 921977964 924483456 931705983 937154556 960040512 973198962 985304736 989218698 991066752 998809461 1019302272 1027265571 1040043888 1046126016 1086361632 1092714624 1104244128 1110701696 1114950096 1121470272 1146715056 1153420992 1170049374 1176891768 1183774176 1217499936 1229303952 1242274644 1249539408 1261654056 1290054438 1297598616 1313739648 1318958264 1324003239 1331745948 1369687428 1386725184 1405731834 1440060768 1448482176 1459798443 1472325504 1483828047 1486600128 1528953408 1552804992 1560065832 1569189024 1578365568 1623333248 1629542448 1639071936 1656366192 1666052544 1682205408 1720072584 1730131488 1765337652 1775661264 1826249904 1843955928 1863411966 1874309112 1920081024 1935081657 1946397924 1970609472 1978437396 1997618922 2054531142 2080087776 2092252032 2108597751 2172723264 2208488256 2229900192 2242940544 2293430112 2306841984 2340098748 2353783536 2367548352 2434999872 2458607904 2484549288 2499078816 2523308112 2580108876 2595197232 2637916528 2648006478 2663491896 2739374856 2773450368 2795117949 2811463668 2880121536 2919596886 2967656094 2973200256 2996428383 3057906816 3081796713 3120131664 3138378048 3259084896 3278143872 3312732384 3332105088 3364410816 3440145168 3460262976 3530675304 3551322528 3652499808 3687911856 3726823932 3748618224 3870163314 3892795848 3941218944 3956874792 3995237844 4109062284 4160175552 4217195502 4345446528 4379395329 4416976512 4451484141 4459800384 4586860224 4680197496 4707567072 4735096704 4869999744 4917215808 4969098576 4998157632 5046616224 5160217752 5190394464 5275833056 5296012956 5326983792 5478749712 5590235898 5622927336 5760243072 5839193772 5935312188 5992856766 6163593426 6240263328 6276756096 6325793253 6518169792 6625464768 6728821632 6880290336 6920525952 7061350608 7102645056 7304999616 7375823712 7453647864 7497236448 7740326628 7785591696 7913749584 7990475688 8218124568 8320351104 8385353847 8434391004 8758790658 8902968282 8919600768 9173720448 9245390139 9360394992 9415134144 9834431616 9938197152 9996315264 10093232448 10320435504 10380788928 10551666112 10592025912 10653967584 10957499424 11180471796 11245854672 11678387544 11870624376 11985713532 12327186852 12480526656 12651586506 13036339584 13250929536 13354452423 13760580672 14122701216 14205290112 14609999232 14751647424 14907295728 14994472896 15480653256 15571183392 15827499168 15980951376 16436249136 16770707694 16868782008 17517581316 17805936564 18490780278 18720789984 18830268288 18977379759 19876394304 20186464896 20640871008 20761577856 21103332224 21184051824 21307935168 21914998848 22360943592 22491709344 23356775088 23741248752 23971427064 24654373704 24961053312 25156061541 25303173012 26708904846 27521161344 27736170417 28245402432 29503294848 29814591456 29988945792 30961306512 31142366784 31654998336 31961902752 32872498272 33541415388 33737564016 35035162632 35611873128 36981560556 37441579968 37954759518 39752788608 40063357269 41281742016 42368103648 42615870336 43829997696 44721887184 44983418688 46713550176 47482497504 47942854128 49308747408 50312123082 50606346024 53417809692 55472340834 56490804864 56932139277 59629182912 61922613024 62284733568 63309996672 63923805504 65744996544 67082830776 67475128032 70070325264 71223746256 73963121112 74883159936 75909519036 80126714538 82563484032 83208511251 84736207296 89443774368 89966837376 93427100352 94964995008 95885708256 98617494816 100624246164 101212692048 106835619384 110944681668 113864278554 119258365824 120190071807 123845226048 127847611008 131489993088 134165661552 134950256064 140140650528 142447492512 147926242224 151819038072 160253429076 166417022502 169472414592 178887548736 186854200704 189929990016 191771416512 197234989632 201248492328 202425384096 213671238768 221889363336 227728557108 240380143614 247690452096 268331323104 269900512128 280281301056 284894985024 295852484448 303638076144 320506858152 332834045004 357775097472 360570215421 383542833024 394469979264 402496984656 404850768192 427342477536 443778726672 455457114216 480760287228 536662646208 560562602112 569789970048 591704968896 607276152288 641013716304 665668090008 721140430842 804993969312 809701536384 854684955072 887557453344 910914228432 961520574456 1073325292416 1081710646263 1183409937792 1214552304576 1282027432608 1331336180016 1442280861684 1609987938624 1709369910144 1775114906688 1821828456864 1923041148912 2163421292526 2429104609152 2564054865216 2662672360032 2884561723368 3219975877248 3550229813376 3643656913728 3846082297824 4326842585052 5128109730432 5325344720064 5769123446736 7287313827456 7692164595648 8653685170104 10650689440128 11538246893472 15384329191296 17307370340208 23076493786944 34614740680416 46152987573888 69229481360832 138458962721664
- Sum of all divisors σ(n): 481500373208400
- Sum of proper divisors (its aliquot sum) s(n): 343041410486736
- 138458962721664 is an abundant number, because the sum of its proper divisors (343041410486736) is greater than itself. Its abundance is 204582447765072
Bases of 138458962721664
- Binary: 111110111101101011111010100100111111011100000002
- Hexadecimal: 0x7DED7D49FB80
- Base-36: 1D2V63I000
Squares and roots of 138458962721664
- 138458962721664 squared (1384589627216642) is 19170884357959141226334928896
- 138458962721664 cubed (1384589627216643) is 2654380762659996221911967013245736078802944
-
The
square root of 138458962721664 is 11766858.6598830191 -
The
cube root of 138458962721664 is 51733.7179793919
Scales and comparisons
How big is 138458962721664?- 138,458,962,721,664 seconds is equal to 4,402,566 years, 38 weeks, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,458,962,721,664 would take you about eleven million, six thousand, four hundred sixteen 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 138458962721664 cubic inches would be around 4311.1 feet tall.
Recreational maths with 138458962721664
- 138458962721664 backwards is 466127269854831
- 138458962721664 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138458962721664's digits is 72
- More coming soon!
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"Number 138458962721664 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138458962721664 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138458962721664/
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The information we have on file for 138458962721664 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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