138704135014618992
138,704,135,014,618,992 is an even composite number composed of seven prime numbers multiplied together.
138704135014618992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138704135014618992:
24 × 32 × 72 × 13 × 19 × 792 × 35712
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 19 × 79 × 79 × 3571 × 3571)See below for interesting mathematical facts about the number 138704135014618992 from the Numbermatics database.
Names of 138704135014618992
- Cardinal: 138704135014618992 can be written as One hundred thirty-eight quadrillion, seven hundred four trillion, one hundred thirty-five billion, fourteen million, six hundred eighteen thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.38704135014618992 × 1017
Factors of 138704135014618992
Divisors of 138704135014618992
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 36 38 39 42 48 49 52 56 57 63 72 76 78 79 84 91 98 104 112 114 117 126 133 144 147 152 156 158 168 171 182 196 208 228 234 237 247 252 266 273 294 304 312 316 336 342 364 392 399 441 456 468 474 494 504 532 546 553 588 624 632 637 684 711 728 741 784 798 819 882 912 931 936 948 988 1008 1027 1064 1092 1106 1176 1197 1264 1274 1368 1422 1456 1482 1501 1596 1638 1659 1729 1764 1862 1872 1896 1911 1976 2054 2128 2184 2212 2223 2352 2394 2548 2736 2793 2844 2964 3002 3081 3192 3276 3318 3458 3528 3571 3724 3792 3822 3871 3952 4108 4368 4424 4446 4503 4788 4977 5096 5187 5586 5688 5733 5928 6004 6162 6241 6384 6552 6636 6916 7056 7142 7189 7448 7644 7742 8216 8379 8848 8892 9006 9243 9576 9954 10192 10374 10507 10713 11172 11376 11466 11613 11856 12008 12103 12324 12482 13104 13272 13509 13832 14284 14378 14896 15288 15484 15561 16432 16758 17784 18012 18486 18723 19152 19513 19908 20748 21014 21426 21567 22344 22932 23226 24016 24206 24648 24964 24997 26544 27018 27664 28568 28756 30576 30968 31122 31521 32139 33516 34839 35568 36024 36309 36972 37446 39026 39816 41496 42028 42852 43134 43687 44688 45864 46423 46452 48412 49296 49928 49994 50323 54036 56169 57136 57512 58539 61936 62244 63042 64278 64701 67032 67849 69678 72048 72618 73549 73944 74892 74991 78052 79632 81133 82992 84056 85704 86268 87374 91728 92846 92904 94563 96824 99856 99988 100646 108072 108927 112338 115024 117078 118579 124488 126084 128556 129402 131061 134064 135698 136591 139269 139356 145236 147098 147888 149784 149982 150969 156104 162266 168112 171408 172536 174748 174979 175617 185692 185808 189126 193648 199976 201292 203547 216144 217854 220647 224676 224973 234156 237158 243399 248976 252168 257112 258804 262122 271396 273182 278538 278712 282109 290472 294196 299568 299964 301938 305809 312208 324532 324961 345072 349496 349958 351234 355737 371384 378252 393183 399952 402584 407094 409773 417807 435708 441294 449352 449946 452907 468312 474316 474943 486798 504336 514224 517608 524244 524937 542792 546364 557076 557424 564218 567931 580944 588392 599928 603876 610641 611618 649064 649922 661941 698992 699916 702468 711474 730197 742768 756504 786366 805168 814188 819546 830053 835614 846327 871416 882037 882588 898704 899892 905814 917427 936624 948632 949886 956137 973596 974883 1035216 1048488 1049874 1067211 1085584 1092728 1114152 1128436 1135862 1176784 1199856 1207752 1221282 1223236 1229319 1298128 1299844 1323882 1399832 1404936 1422948 1424829 1460394 1513008 1541527 1572732 1574811 1628376 1639092 1660106 1671228 1692654 1703793 1742832 1764074 1765176 1799784 1811628 1834854 1897264 1899772 1912274 1947192 1949766 1974763 2096976 2099748 2134422 2185456 2228304 2256872 2271724 2274727 2415504 2442564 2446472 2458638 2490159 2538981 2599688 2646111 2647764 2752281 2799664 2809872 2845896 2849658 2868411 2920788 2924649 3083054 3145464 3149622 3256752 3278184 3320212 3324601 3342456 3385308 3407586 3528148 3530352 3599568 3623256 3667417 3669708 3799544 3824548 3894384 3899532 3949526 3975517 4199496 4268844 4274487 4513744 4543448 4549454 4624581 4885128 4892944 4917276 4980318 5077962 5111379 5199376 5292222 5295528 5360071 5504562 5691792 5699316 5736822 5810371 5841576 5849298 5924289 6166108 6174259 6290928 6299244 6556368 6640424 6649202 6684912 6770616 6815172 6824181 7056296 7246512 7334834 7339416 7470477 7599088 7649096 7799064 7899052 7938333 7951034 8398992 8537688 8548974 8605233 9086896 9098908 9249162 9770256 9834552 9960636 9973803 10155924 10222758 10584444 10591056 10720142 10790689 11002251 11009124 11398632 11473644 11620742 11683152 11698596 11848578 11926551 12332216 12348518 12598488 12752041 13280848 13298404 13541232 13630344 13648362 13823341 13873743 14112592 14669668 14678832 14940954 15298192 15598128 15798104 15876666 15902068 16080213 17075376 17097948 17210466 17431113 17772867 18197816 18498324 18522777 19669104 19921272 19947606 20311848 20445516 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352772462224 366697690996 373479027138 389906405616 394905205688 396345090024 396869020002 401957084361 426833173872 427397406156 444268356399 453564594288 459379524984 462402605028 463013856669 471468459852 477512927286 491668592688 497661152066 497972036184 507735264456 511076563452 529158693336 535942779148 539469705866 550046536494 557098415167 569863208208 584859608424 592357808532 616536806704 617351808892 628624613136 636683903048 641720959243 681435417936 689069287476 693603907542 716269390929 733395381992 746491728099 746958054276 789810411376 792690180048 793738040004 803914168722 809204558799 825069804741 854794812312 888536712798 918759049968 924805210056 926027713338 937899863509 942936919704 955025854572 995322304132 995944072368 1015470528912 1022153126904 1034611342453 1058317386672 1071885558296 1078939411732 1100093072988 1114196830334 1169719216848 1184715617064 1205871253083 1234703617784 1273367806096 1283441918486 1378138574952 1387207815084 1389041570007 1432538781858 1466790763984 1492983456198 1493916108552 1512124269739 1587476080008 1607828337444 1618409117598 1650139609482 1671295245501 1709589624624 1741814032231 1777073425596 1849610420112 1852055426676 1875799727018 1885873839408 1910051709144 1925162877729 1990644608264 2044306253808 2069222684906 2143771116592 2157878823464 2200186145976 2228393660668 2239475184297 2369431234128 2411742506166 2427613676397 2469407235568 2566883836972 2756277149904 2774415630168 2778083140014 2813699590527 2865077563716 2985966912396 2987832217104 3024248539478 3103834027359 3174952160016 3215656674888 3236818235196 3300279218964 3342590491002 3483628064462 3554146851192 3704110853352 3751599454036 3820103418288 3850325755458 3899688906169 3981289216528 4138445369812 4315757646928 4400372291952 4456787321336 4478950368594 4536372809217 4823485012332 4855227352794 5013885736503 5133767673944 5225442096693 5548831260336 5556166280028 5627399181054 5730155127432 5775488633187 5971933824792 6048497078956 6207668054718 6431313349776 6473636470392 6600558437928 6685180982004 6967256128924 7108293702384 7242279397171 7408221706704 7503198908072 7700651510916 7799377812338 8276890739624 8441098771581 8913574642672 8957900737188 9072745618434 9311502082077 9646970024664 9710454705588 10027771473006 10267535347888 10450884193386 10584869888173 11112332560056 11254798362108 11460310254864 11550977266374 11699066718507 11943867649584 12096994157912 12192698225617 12415336109436 12947272940784 13201116875856 13370361964008 13609118427651 13934512257848 14484558794342 15006397816144 15401303021832 15598755624676 15676326290079 16553781479248 16882197543162 17915801474376 18145491236868 18623004164154 19293940049328 19420909411176 19657615506607 20055542946012 20901768386772 21169739776346 21726838191513 22224665120112 22509596724216 23101954532748 23398133437014 24193988315824 24385396451234 24830672218872 26740723928016 27218236855302 27869024515696 28969117588684 30802606043664 31197511249352 31352652580158 31754609664519 33764395086324 35097200155521 35831602948752 36290982473736 36578094676851 37246008328308 38841818822352 39315231013214 40111085892024 41803536773544 42339479552692 43453676383026 45019193448432 46203909065496 46796266874028 48770792902468 49661344437744 50695955780197 54436473710604 57938235177368 58972846519821 62395022498704 62705305160316 63509219329038 65180514574539 67528790172648 70194400311042 72581964947472 73156189353702 74094089217211 74492016656616 78630462026428 80222171784048 83607073547088 84678959105384 86907352766052 92407818130992 93592533748056 95263828993557 97541585804936 101391911560394 108872947421208 109734284030553 115876470354736 117945693039642 125410610320632 127018438658076 130361029149078 135057580345296 137603308546249 140388800622084 146312378707404 148188178434422 148984033313232 152087867340591 157260924052856 169357918210768 173814705532104 176918539559463 187185067496112 190527657987114 195083171609872 202783823120788 217745894842416 219468568061106 222282267651633 235891386079284 250821220641264 254036877316152 260722058298156 275206617092498 280777601244168 292624757414808 296376356868844 304175734681182 314521848105712 347629411064208 353837079118926 381055315974228 405567646241576 412809925638747 438937136122212 444564535303266 456263602021773 471782772158568 508073754632304 521444116596312 550413234184996 561555202488336 585249514829616 592752713737688 608351469362364 666846802954899 707674158237852 762110631948456 811135292483152 825619851277494 877874272244424 889129070606532 912527204043546 943565544317136 963223159823743 1042888233192624 1100826468369992 1185505427475376 1216702938724728 1238429776916241 1333693605909798 1415348316475704 1524221263896912 1651239702554988 1755748544488848 1778258141213064 1825054408087092 1926446319647486 2201652936739984 2433405877449456 2476859553832482 2667387211819596 2830696632951408 2889669479471229 3302479405109976 3556516282426128 3650108816174184 3852892639294972 4953719107664964 5334774423639192 5779338958942458 6604958810219952 7300217632348368 7705785278589944 8669008438413687 9907438215329928 10669548847278384 11558677917884916 15411570557179888 17338016876827374 19814876430659856 23117355835769832 34676033753654748 46234711671539664 69352067507309496 138704135014618992
- Sum of all divisors σ(n): 518591098512363240
- Sum of proper divisors (its aliquot sum) s(n): 379886963497744248
- 138704135014618992 is an abundant number, because the sum of its proper divisors (379886963497744248) is greater than itself. Its abundance is 241182828483125256
Bases of 138704135014618992
- Binary: 1111011001100011010101101000010000110110010010111011100002
- Hexadecimal: 0x1ECC6AD086C9770
- Base-36: 11XQIFYP2BG0
Squares and roots of 138704135014618992
- 138704135014618992 squared (1387041350146189922) is 19238837070153654280077554927096064
- 138704135014618992 cubed (1387041350146189923) is 2668506254502849339225084699769067153883417942847488
-
The
square root of 138704135014618992 is 372430040.4299027433 -
The
cube root of 138704135014618992 is 517642.3531330713
Scales and comparisons
How big is 138704135014618992?- 138,704,135,014,618,992 seconds is equal to 4,410,362,453 years, 21 weeks, 13 hours, 43 minutes, 12 seconds.
-
To count from 1 to 138,704,135,014,618,992 would take you about thirteen billion, two hundred thirty-one million, eighty-seven thousand, three hundred sixty 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 138704135014618992 cubic inches would be around 43136.9 feet tall.
Recreational maths with 138704135014618992
- 138704135014618992 backwards is 299816410531407831
- 138704135014618992 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138704135014618992's digits is 72
- More coming soon!
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"Number 138704135014618992 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 138704135014618992 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138704135014618992/
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Numbermatics. 2024. "Number 138704135014618992 - Facts about the integer". https://numbermatics.com/n/138704135014618992/
The information we have on file for 138704135014618992 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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