138316867153920
138,316,867,153,920 is an even composite number composed of seven prime numbers multiplied together.
138316867153920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 138316867153920:
212 × 32 × 5 × 7 × 13 × 312 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 31 × 31 × 8581)See below for interesting mathematical facts about the number 138316867153920 from the Numbermatics database.
Names of 138316867153920
- Cardinal: 138316867153920 can be written as One hundred thirty-eight trillion, three hundred sixteen billion, eight hundred sixty-seven million, one hundred fifty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3831686715392 × 1014
Factors of 138316867153920
Divisors of 138316867153920
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 31 32 35 36 39 40 42 45 48 52 56 60 62 63 64 65 70 72 78 80 84 90 91 93 96 104 105 112 117 120 124 126 128 130 140 144 155 156 160 168 180 182 186 192 195 208 210 217 224 234 240 248 252 256 260 273 279 280 288 310 312 315 320 336 360 364 372 384 390 403 416 420 434 448 455 465 468 480 496 504 512 520 546 558 560 576 585 620 624 630 640 651 672 720 728 744 768 780 806 819 832 840 868 896 910 930 936 960 961 992 1008 1024 1040 1085 1092 1116 1120 1152 1170 1209 1240 1248 1260 1280 1302 1344 1365 1395 1440 1456 1488 1536 1560 1612 1638 1664 1680 1736 1792 1820 1860 1872 1920 1922 1953 1984 2015 2016 2048 2080 2170 2184 2232 2240 2304 2340 2418 2480 2496 2520 2560 2604 2688 2730 2790 2821 2880 2883 2912 2976 3072 3120 3224 3255 3276 3328 3360 3472 3584 3627 3640 3720 3744 3840 3844 3906 3968 4030 4032 4095 4096 4160 4340 4368 4464 4480 4608 4680 4805 4836 4960 4992 5040 5120 5208 5376 5460 5580 5642 5760 5766 5824 5952 6045 6144 6240 6448 6510 6552 6656 6720 6727 6944 7168 7254 7280 7440 7488 7680 7688 7812 7936 8060 8064 8190 8320 8463 8581 8649 8680 8736 8928 8960 9216 9360 9610 9672 9765 9920 9984 10080 10240 10416 10752 10920 11160 11284 11520 11532 11648 11904 12090 12288 12480 12493 12896 13020 13104 13312 13440 13454 13888 14105 14336 14415 14508 14560 14880 14976 15360 15376 15624 15872 16120 16128 16380 16640 16926 17162 17298 17360 17472 17856 17920 18135 18432 18720 19220 19344 19530 19840 19968 20160 20181 20480 20832 21504 21840 22320 22568 23040 23064 23296 23808 24180 24960 24986 25389 25743 25792 26040 26208 26624 26880 26908 27776 28210 28672 28830 29016 29120 29760 29952 30720 30752 31248 31744 32240 32256 32760 33280 33635 33852 34324 34596 34720 34944 35712 35840 36270 36864 37440 37479 38440 38688 39060 39680 39936 40320 40362 41664 42315 42905 43008 43245 43680 44640 45136 46080 46128 46592 47616 48360 49920 49972 50778 51486 51584 52080 52416 53248 53760 53816 55552 56420 57660 58032 58240 59520 59904 60067 60543 61440 61504 62465 62496 63488 64480 64512 65520 66560 67270 67704 68648 69192 69440 69888 71424 71680 72540 74880 74958 76880 77229 77376 78120 79360 79872 80640 80724 83328 84630 85810 86016 86490 87360 87451 89280 90272 92160 92256 93184 95232 96720 99840 99944 100905 101556 102972 103168 104160 104832 107520 107632 111104 111553 112437 112840 115320 116064 116480 119040 119808 120134 121086 123008 124930 124992 126945 126976 128715 128960 129024 131040 133120 134540 135408 137296 138384 138880 139776 142848 143360 145080 149760 149916 153760 154458 154752 156240 158720 159744 161280 161448 166656 169260 171620 172980 174720 174902 178560 180201 180544 184320 184512 186368 187395 190464 193440 199680 199888 201810 203112 205944 206336 208320 209664 215040 215264 222208 223106 224874 225680 230640 232128 232960 238080 239616 240268 242172 246016 249860 249984 253890 257430 257920 258048 262080 262353 266011 266240 269080 270816 274592 276768 277760 279552 285696 290160 299520 299832 300335 302715 307520 308916 309504 312480 317440 322560 322896 333312 334659 338520 343240 345960 349440 349804 357120 360402 361088 369024 372736 374790 380928 386145 386880 399360 399776 403620 406224 411888 412672 416640 419328 430080 430528 437255 444416 446212 449748 451360 461280 464256 465920 476160 479232 480536 484344 492032 499720 499968 507780 514860 515840 524160 524706 532022 538160 540603 541632 549184 553536 555520 557765 559104 562185 571392 580320 599040 599664 600670 605430 615040 617832 619008 624960 634880 645120 645792 666624 669318 677040 686480 691920 698880 699608 714240 720804 722176 738048 749580 772290 773760 780871 787059 798033 798720 799552 807240 812448 823776 825344 833280 838656 861056 874510 888832 892424 899496 901005 902720 922560 928512 931840 952320 961072 968688 984064 999440 999936 1003977 1015560 1029720 1031680 1048320 1049412 1064044 1076320 1081206 1083264 1098368 1107072 1111040 1115530 1118208 1124370 1142784 1160640 1198080 1199328 1201340 1210860 1230080 1235664 1238016 1249920 1290240 1291584 1311765 1330055 1333248 1338636 1354080 1372960 1383840 1397760 1399216 1428480 1441608 1444352 1476096 1499160 1544580 1547520 1561742 1574118 1596066 1599104 1614480 1624896 1647552 1650688 1666560 1673295 1677312 1722112 1749020 1784848 1798992 1802010 1805440 1845120 1857024 1862077 1863680 1904640 1922144 1937376 1968128 1998880 1999872 2007954 2031120 2059440 2063360 2096640 2098824 2128088 2152640 2162412 2166528 2196736 2214144 2222080 2231060 2248740 2321280 2342613 2394099 2396160 2398656 2402680 2421720 2460160 2471328 2476032 2499840 2583168 2623530 2660110 2666496 2677272 2703015 2708160 2745920 2767680 2795520 2798432 2856960 2883216 2888704 2952192 2998320 3089160 3095040 3123484 3148236 3192132 3198208 3228960 3249792 3295104 3333120 3346590 3354624 3444224 3458143 3498040 3569696 3597984 3604020 3610880 3690240 3714048 3724154 3844288 3874752 3904355 3935295 3936256 3990165 3997760 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37481808 38305584 38378496 38442880 38747520 39541248 39997440 40159080 41231705 41330688 41497716 41976480 42561760 42836352 43248240 43330560 43934720 44282880 44689848 44774912 46131456 46852260 47881980 47973120 48414002 49426560 49478046 49975744 50371776 51074112 51171328 51663360 51872145 51996672 52721664 53545440 55330288 55862310 55968640 56222712 57115136 57567744 57664320 57724387 57774080 59043840 59586464 61508608 61996032 62246574 62469680 62964720 63842640 63964160 64254528 64995840 65902080 65970728 67034772 67162368 68098816 68884480 69162860 69197184 70278390 71393920 71959680 72621003 74217069 74280960 74483080 74963616 76611168 76756992 76885760 77495040 79082496 80318160 82463410 82661376 82995432 83793465 83952960 85123520 85672704 86496480 86661120 87869440 88565760 89379696 89549824 92262912 93704520 95763960 95946240 96828004 98853120 98956092 99951488 100743552 102148224 103326720 103744290 103993344 105443328 107090880 107202433 110660576 111724620 111937280 112445424 114230272 115135488 115328640 115448774 119172928 121035005 123017216 123695115 123992064 124493148 124939360 125929440 127685280 127928320 128509056 129991680 131804160 131941456 134069544 134324736 136197632 137768960 138325720 138394368 140556780 142787840 143919360 145242006 148434138 148966160 149927232 153222336 153513984 153771520 154990080 155616435 158164992 160636320 164926820 165990864 167586930 167905920 170247040 171345408 172992960 173173161 173322240 175738880 177131520 178759392 179099648 184525824 187409040 191527920 191892480 193656008 197706240 197912184 199902976 201487104 204296448 206653440 207488580 214181760 214404866 217863009 221321152 223449240 223874560 224890848 228460544 230270976 230657280 230897548 238345856 242070010 246034432 247390230 247984128 248986296 249878720 251858880 255370560 255856640 257018112 259983360 263608320 263882912 268139088 268649472 272395264 276651440 276788736 281113560 285575680 287838720 288621935 290484012 296868276 297932320 299854464 306444672 307543040 309980160 311232870 316329984 321272640 321607299 329853640 331981728 335173860 335811840 340494080 342690816 345985920 346346322 357518784 358199296 363105015 369051648 371085345 374818080 383055840 383784960 387312016 395412480 395824368 399805952 402974208 408592896 413306880 414977160 428363520 428809732 435726018 442642304 446898480 447749120 449781696 456921088 460541952 461314560 461795096 476691712 484140020 494780460 497972592 499757440 503717760 510741120 514036224 519519483 519966720 527216640 527765824 536012165 536278176 537298944 544790528 553302880 553577472 562227120 571151360 575677440 577243870 580968024 593736552 595864640 599708928 612889344 615086080 619960320 622465740 642545280 643214598 659707280 663963456 670347720 671623680 680988160 685381632 691971840 692692644 715037568 726210030 738103296 742170690 749636160 750417031 766111680 767569920 774624032 790824960 791648736 799611904 805948416 817185792 829954320 856727040 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2302709760 2308975480 2323872096 2374946208 2383458560 2398835712 2451557376 2489862960 2570181120 2572858392 2597597415 2638829120 2655853824 2681390880 2686494720 2723952640 2767887360 2770770576 2860150272 2904840120 2968682760 2998544640 3001668124 3064446720 3098496128 3166594944 3198447616 3216072990 3223793664 3268743168 3319817280 3426908160 3430477856 3463463220 3485808144 3541138432 3575187840 3598253568 3690516480 3694360768 3752085155 3813533696 3859287588 3873120160 3958243680 3983780736 3998059520 4029742080 4085928960 4112289792 4156155864 4222126592 4288097320 4290225408 4357260180 4426423040 4497816960 4502502186 4617950960 4647744192 4749892416 4766917120 4797671424 4824109485 4903114752 4979725920 5140362240 5145716784 5195194830 5277658240 5311707648 5362781760 5372989440 5447905280 5535774720 5541541152 5720300544 5809680240 5937365520 5997089280 6003336248 6128893440 6196992256 6333189888 6432145980 6639634560 6753753279 6853816320 6860955712 6926926440 6971616288 7082276864 7150375680 7196507136 7388721536 7504170310 7627067392 7718575176 7746240320 7916487360 7967561472 7996119040 8059484160 8171857920 8312311728 8444253184 8576194640 8580450816 8714520360 8852846080 8995633920 9005004372 9235901920 9295488384 9499784832 9533834240 9595342848 9648218970 9806229504 9959451840 10280724480 10291433568 10390389660 10555316480 10623415296 10725563520 11071549440 11083082304 11256255465 11440601088 11619360480 11874731040 11994178560 12006672496 12257786880 12393984512 12666379776 12864291960 13279269120 13507506558 13721911424 13853852880 13943232576 14164553728 14300751360 14393014272 14777443072 15008340620 15437150352 15492480640 15832974720 15935122944 15992238080 16118968320 16343715840 16624623456 16888506368 17152389280 17160901632 17429040720 17705692160 17991267840 18010008744 18471803840 18590976768 18999569664 19067668480 19296437940 19918903680 20561448960 20582867136 20780779320 21110632960 21246830592 21451127040 22166164608 22512510930 22881202176 23238720960 23749462080 23988357120 24013344992 24515573760 24787969024 25332759552 25728583920 26558538240 27015013116 27443822848 27707705760 27886465152 28601502720 28786028544 29554886144 30016681240 30874300704 30984961280 31665949440 31870245888 33249246912 33768766395 33777012736 34304778560 34321803264 34858081440 35411384320 35982535680 36020017488 36943607680 37181953536 37999139328 38135336960 38592875880 39837807360 41165734272 41561558640 42221265920 42493661184 42902254080 44332329216 45025021860 46477441920 47498924160 47976714240 48026689984 49031147520 49575938048 50665519104 51457167840 53117076480 54030026232 54887645696 55415411520 55772930304 57203005440 59109772288 60033362480 61748601408 61969922560 63331898880 63740491776 66498493824 67537532790 68609557120 68643606528 69716162880 70822768640 71965071360 72040034976 73887215360 74363907072 75998278656 77185751760 79675614720 82331468544 83123117280 84442531840 85804508160 88664658432 90050043720 92954883840 94997848320 96053379968 99151876096 101331038208 102914335680 106234152960 108060052464 109775291392 110830823040 111545860608 114406010880 118219544576 120066724960 123497202816 123939845120 126663797760 127480983552 132996987648 135075065580 137219114240 139432325760 143930142720 144080069952 147774430720 148727814144 151996557312 154371503520 159351229440 164662937088 166246234560 168885063680 171609016320 177329316864 180100087440 185909767680 189995696640 192106759936 205828671360 212468305920 216120104928 219550582784 221661646080 223091721216 236439089152 240133449920 246994405632 247879690240 253327595520 265993975296 270150131160 274438228480 278864651520 288160139904 295548861440 297455628288 303993114624 308743007040 318702458880 329325874176 332492469120 343218032640 354658633728 360200174880 371819535360 379991393280 384213519872 411657342720 432240209856 439101165568 443323292160 446183442432 480266899840 493988811264 495759380480 506655191040 531987950592 540300262320 548876456960 557729303040 576320279808 591097722880 617486014080 637404917760 658651748352 664984938240 709317267456 720400349760 743639070720 759982786560 768427039744 823314685440 864480419712 886646584320 892366884864 960533799680 987977622528 1063975901184 1080600524640 1097752913920 1115458606080 1152640559616 1182195445760 1234972028160 1317303496704 1329969876480 1440800699520 1487278141440 1519965573120 1536854079488 1646629370880 1728960839424 1773293168640 1921067599360 1975955245056 2127951802368 2161201049280 2195505827840 2230917212160 2305281119232 2469944056320 2659939752960 2881601399040 3073708158976 3293258741760 3457921678848 3546586337280 3842135198720 3951910490112 4322402098560 4461834424320 4610562238464 4939888112640 5319879505920 5763202798080 6586517483520 6915843357696 7684270397440 8644804197120 9221124476928 9879776225280 10639759011840 11526405596160 13831686715392 15368540794880 17289608394240 19759552450560 23052811192320 27663373430784 34579216788480 46105622384640 69158433576960 138316867153920
- Sum of all divisors σ(n): 609799845485376
- Sum of proper divisors (its aliquot sum) s(n): 471482978331456
- 138316867153920 is an abundant number, because the sum of its proper divisors (471482978331456) is greater than itself. Its abundance is 333166111177536
Bases of 138316867153920
- Binary: 111110111001100011001111011101110110000000000002
- Hexadecimal: 0x7DCC67BBB000
- Base-36: 1D11W3GU80
Squares and roots of 138316867153920
- 138316867153920 squared (1383168671539202) is 19131555739275153360971366400
- 138316867153920 cubed (1383168671539203) is 2646216853637137123223311082477781516288000
-
The
square root of 138316867153920 is 11760819.1531848663 -
The
cube root of 138316867153920 is 51716.0144229151
Scales and comparisons
How big is 138316867153920?- 138,316,867,153,920 seconds is equal to 4,398,048 years, 27 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 138,316,867,153,920 would take you about ten million, nine hundred ninety-five thousand, one 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 138316867153920 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138316867153920
- 138316867153920 backwards is 029351768613831
- 138316867153920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138316867153920's digits is 63
- More coming soon!
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"Number 138316867153920 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 138316867153920 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138316867153920/
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The information we have on file for 138316867153920 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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