138676775896800
138,676,775,896,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138676775896800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138676775896800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138676775896800:
25 × 32 × 52 × 61 × 732 × 193 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 61 × 73 × 73 × 193 × 307)See below for interesting mathematical facts about the number 138676775896800 from the Numbermatics database.
Names of 138676775896800
- Cardinal: 138676775896800 can be written as One hundred thirty-eight trillion, six hundred seventy-six billion, seven hundred seventy-five million, eight hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.386767758968 × 1014
Factors of 138676775896800
Divisors of 138676775896800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 61 72 73 75 80 90 96 100 120 122 144 146 150 160 180 183 193 200 219 225 240 244 288 292 300 305 307 360 365 366 386 400 438 450 480 488 549 579 584 600 610 614 657 720 730 732 772 800 876 900 915 921 965 976 1095 1098 1158 1168 1200 1220 1228 1314 1440 1460 1464 1525 1535 1544 1737 1752 1800 1825 1830 1842 1930 1952 2190 2196 2316 2336 2400 2440 2456 2628 2745 2763 2895 2920 2928 3050 3070 3088 3285 3474 3504 3600 3650 3660 3684 3860 4380 4392 4453 4575 4605 4632 4825 4880 4912 5256 5329 5475 5490 5526 5790 5840 5856 6100 6140 6176 6570 6948 7008 7200 7300 7320 7368 7675 7720 8685 8760 8784 8906 9150 9210 9264 9650 9760 9824 10512 10658 10950 10980 11052 11580 11680 11773 12200 12280 13140 13359 13725 13815 13896 14089 14475 14600 14640 14736 15350 15440 15987 16425 17370 17520 17568 17812 18300 18420 18528 18727 19300 21024 21316 21900 21960 22104 22265 22411 23025 23160 23546 24400 24560 26280 26645 26718 27450 27630 27792 28178 28950 29200 29280 29472 30700 30880 31974 32850 34740 35040 35319 35624 36600 36840 37454 38600 40077 42267 42632 43425 43800 43920 44208 44530 44822 46050 46320 47092 47961 48800 49120 52560 53290 53436 54900 55260 55584 56181 56356 57900 58400 58865 59251 61400 63948 65700 66795 67233 69075 69480 70445 70638 71248 73200 73680 74908 77200 79935 80154 84534 85264 86850 87600 87840 88416 89060 89644 92100 92640 93635 94184 95922 105120 105957 106580 106872 109800 110520 111325 112055 112362 112712 115800 117730 118502 122800 126801 127896 131400 133225 133590 134466 138150 138960 140890 141276 142496 146400 147360 149816 154400 159870 160308 168543 169068 170528 173700 175200 176595 177753 178120 179288 184200 187270 188368 191844 200385 201699 211335 211914 213160 213744 219600 221040 222650 224110 224724 225424 231600 235460 237004 239805 245600 253602 255792 262800 266450 267180 268932 276300 277920 280905 281780 282552 294325 296255 299632 319740 320616 325069 333975 336165 337086 338136 347400 352225 353190 355506 356240 358576 368400 374540 376736 383688 399675 400770 403398 422670 423828 426320 427488 439200 442080 445300 448220 449448 450848 463200 468175 470920 474008 479610 507204 511584 525600 529785 532900 533259 534360 537864 552600 560275 561810 563560 565104 588650 592510 599264 634005 639480 641232 650138 667950 672330 674172 676272 694800 704450 706380 711012 712480 717152 736800 749080 767376 799350 801540 806796 842715 845340 847656 852640 859429 882975 888765 890600 896440 898896 936350 941840 948016 959220 975207 1001925 1008495 1014408 1028497 1056675 1059570 1065800 1066518 1068720 1075728 1105200 1120550 1123620 1127120 1130208 1177300 1185020 1199025 1268010 1278960 1282464 1300276 1335900 1344660 1348344 1352544 1367071 1389600 1404525 1408900 1412760 1422024 1481275 1498160 1534752 1598700 1603080 1613592 1625345 1636003 1680825 1685430 1690680 1695312 1718858 1765950 1777530 1781200 1792880 1797792 1872700 1883680 1896032 1918440 1950414 2003850 2016990 2028816 2056994 2113350 2119140 2131600 2133036 2137440 2151456 2210400 2241100 2247240 2254240 2354600 2370040 2398050 2536020 2557920 2578287 2600552 2648925 2666295 2671800 2689320 2696688 2734142 2809050 2817800 2825520 2844048 2925621 2962550 2996320 3085491 3170025 3197400 3206160 3227184 3250690 3272006 3361650 3370860 3381360 3390624 3437716 3531900 3555060 3562400 3585760 3614311 3745400 3836880 3900828 4007700 4033980 4057632 4101213 4113988 4213575 4226700 4238280 4263200 4266072 4297145 4325323 4443825 4482200 4494480 4709200 4740080 4796100 4876035 4908009 5042475 5072040 5142485 5156574 5201104 5297850 5332590 5343600 5378640 5393376 5468284 5618100 5635600 5651040 5688096 5851242 5925100 6170982 6340050 6394800 6412320 6454368 6501380 6544012 6723300 6741720 6762720 6835355 6875432 7063800 7110120 7228622 7490800 7673760 7734861 7801656 8015400 8067960 8126725 8180015 8202426 8227976 8427150 8453400 8476560 8532144 8594290 8650646 8887650 8964400 8988960 9256473 9418400 9480160 9592200 9752070 9816018 10084950 10144080 10284970 10313148 10402208 10595700 10665180 10687200 10757280 10842933 10936568 11236200 11271200 11702484 11850200 12303639 12341964 12680100 12789600 12891435 12975969 13002760 13088024 13331475 13446600 13483440 13670710 13750864 14127600 14220240 14457244 14628105 14724027 14981600 15427455 15469722 15603312 16030800 16135920 16253450 16360030 16404852 16455952 16854300 16906800 16953120 17064288 17188580 17301292 17775300 17928800 18071555 18512946 19184400 19504140 19632036 20169900 20288160 20506065 20569940 20626296 21191400 21330360 21485725 21626615 21685866 21873136 22472400 23404968 23700400 24380175 24540045 24607278 24683928 25360200 25712425 25782870 25951938 26005520 26176048 26662950 26893200 26966880 27341420 27501728 28255200 28440480 28914488 29256210 29448054 30854910 30939444 31206624 32061600 32271840 32506900 32528799 32720060 32809704 32911904 33708600 33813600 34176775 34377160 34602584 35550600 36143110 37025892 38368800 38674305 38927907 39008280 39264072 40339800 40900075 41012130 41139880 41252592 42382800 42660720 42971450 43253230 43371732 43746272 44944800 46282365 46809936 47400800 48760350 49080090 49214556 49367856 50720400 51424850 51565740 51903876 52011040 52352096 53325900 53786400 54214665 54682840 57828976 58512420 58896108 61518195 61709820 61878888 62738317 64457175 64879845 65013800 65057598 65440120 65619408 67417200 68353550 68754320 69205168 71101200 72286220 73140525 73620135 74051784 77137275 77348610 77855814 78016560 78528144 80679600 81800150 82024260 82279760 82505184 84765600 85321440 85942900 86506460 86743464 90357775 92564730 93619872 97520700 98160180 98429112 98735712 99796183 101440800 102530325 102849700 103131480 103807752 106651800 108133075 108429330 109365680 115657952 117024840 117792216 122700225 123036390 123419640 123757776 125476634 128914350 129759690 130027600 130115196 130880240 131238816 134834400 136707100 137508640 138410336 142202400 144572440 146281050 147240270 148103568 154274550 154697220 155711628 156033120 157056288 161359200 162643995 163600300 164048520 164559520 171885800 173012920 173486928 180715550 185129460 188214951 193371525 194639535 195041400 196320360 196858224 199592366 205060650 205699400 206262960 207615504 213303600 216266150 216858660 218731360 231411825 234049680 235584432 245400450 246072780 246839280 247515552 250953268 257828700 259519380 260055200 260230392 261760480 263844703 271073325 273414200 289144880 292562100 294480540 296207136 299388549 307590975 308549100 309394440 311423256 313691585 315748579 324399225 325287990 327200600 328097040 343771600 346025840 346973856 361431100 368100675 370258920 376429902 386743050 389279070 390082800 392640720 393716448 399184732 410121300 411398800 412525920 415231008 426607200 432532300 433717320 462823650 468099360 471168864 490800900 492145560 493678560 498980915 501906536 515657400 519038760 520460784 527689406 542146650 546828400 564644853 578289760 585124200 588961080 598777098 615181950 617098200 618788880 622846512 627383170 631497158 648798450 650575980 654401200 656194080 687543200 692051680 722862200 736201350 740517840 752859804 773486100 778558140 780165600 785281440 791534109 798369464 813219975 820242600 822797600 865064600 867434640 898165647 925647300 941074755 947245737 973197675 981601800 984291120 997961830 1003813072 1031314800 1038077520 1040921568 1055378812 1084293300 1093656800 1129289706 1170248400 1177922160 1197554196 1230363900 1234196400 1237577760 1245693024 1254766340 1262994316 1297596900 1301151960 1308802400 1319223515 1445724400 1472402700 1481035680 1496942745 1505719608 1546972200 1557116280 1568457925 1578742895 1583068218 1596738928 1626439950 1640485200 1730129200 1734869280 1796331294 1851294600 1882149510 1894491474 1946395350 1963203600 1968582240 1995923660 2007626144 2062629600 2076155040 2110757624 2168586600 2258579412 2340496800 2355844320 2374602327 2395108392 2460727800 2468392800 2494904575 2509532680 2525988632 2595193800 2602303920 2638447030 2823224265 2841737211 2891448800 2944805400 2993885490 3011439216 3093944400 3114232560 3136915850 3157485790 3166136436 3193477856 3252879900 3280970400 3460258400 3592662588 3702589200 3764299020 3788982948 3892790700 3926407200 3957670545 3991847320 4221515248 4337173200 4490828235 4517158824 4705373775 4736228685 4749204654 4790216784 4921455600 4989809150 5019065360 5051977264 5190387600 5204607840 5276894060 5646448530 5683474422 5889610800 5987770980 6022878432 6187888800 6228465120 6273831700 6314971580 6332272872 6505759800 6596117575 7185325176 7405178400 7484713725 7528598040 7577965896 7785581400 7893714475 7915341090 7983694640 8443030496 8674346400 8981656470 9034317648 9410747550 9472457370 9498409308 9580433568 9842911200 9979618300 10038130720 10103954528 10380775200 10553788120 11292897060 11366948844 11779221600 11873011635 11975541960 12547663400 12629943160 12664545744 13011519600 13192235150 14116121325 14208686055 14370650352 14969427450 15057196080 15155931792 15571162800 15787428950 15830682180 15967389280 17963312940 18068635296 18821495100 18944914740 18996818616 19260663319 19788352725 19959236600 21107576240 22454141175 22585794120 22733897688 23681143425 23746023270 23951083920 25095326800 25259886320 25329091488 26023039200 26384470300 28232242650 28417372110 28741300704 29938854900 30114392160 30311863584 31142325600 31574857900 31661364360 35926625880 37642990200 37889829480 37993637232 38521326638 39576705450 39918473200 42215152480 44908282350 45171588240 45467795376 47362286850 47492046540 47902167840 50190653600 50519772640 52768940600 56464485300 56834744220 57781989957 59365058175 59877709800 63149715800 63322728720 71043430275 71853251760 75285980400 75779658960 75987274464 77042653276 79153410900 79836946400 89816564700 90343176480 90935590752 94724573700 94984093080 96303316595 105537881200 112928970600 113669488440 115563979914 118730116350 119755419600 126299431600 126645457440 142086860550 143706503520 150571960800 151559317920 154085306552 158306821800 173345969871 179633129400 189449147400 189968186160 192606633190 211075762400 225857941200 227338976880 231127959828 237460232700 239510839200 252598863200 284173721100 288909949785 308170613104 316613643600 346691939742 359266258800 378898294800 379936372320 385213266380 451715882400 454677953760 462255919656 474920465400 481516582975 568347442200 577819899570 616341226208 633227287200 693383879484 718532517600 757796589600 770426532760 866729849355 924511839312 949840930800 963033165950 1136694884400 1155639799140 1386767758968 1444549748925 1540853065520 1733459698710 1849023678624 1899681861600 1926066331900 2273389768800 2311279598280 2773535517936 2889099497850 3081706131040 3466919397420 3852132663800 4333649246775 4622559196560 5547071035872 5778198995700 6933838794840 7704265327600 8667298493550 9245118393120 11556397991400 13867677589680 15408530655200 17334596987100 23112795982800 27735355179360 34669193974200 46225591965600 69338387948400 138676775896800
- Sum of all divisors σ(n): 508188343270608
- Sum of proper divisors (its aliquot sum) s(n): 369511567373808
- 138676775896800 is an abundant number, because the sum of its proper divisors (369511567373808) is greater than itself. Its abundance is 230834791477008
Bases of 138676775896800
- Binary: 111111000100000001100111111011101000110111000002
- Hexadecimal: 0x7E2033F746E0
- Base-36: 1D5N8BU9K0
Squares and roots of 138676775896800
- 138676775896800 squared (1386767758968002) is 19231248173131289444250240000
- 138676775896800 cubed (1386767758968003) is 2666927493121072233384305949779615232000000
-
The
square root of 138676775896800 is 11776110.3891225475 -
The
cube root of 138676775896800 is 51760.8316249729
Scales and comparisons
How big is 138676775896800?- 138,676,775,896,800 seconds is equal to 4,409,492 years, 26 weeks, 6 days, 14 hours.
-
To count from 1 to 138,676,775,896,800 would take you about eleven million, twenty-three thousand, seven hundred thirty-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 138676775896800 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138676775896800
- 138676775896800 backwards is 008698577676831
- The number of decimal digits it has is: 15
- The sum of 138676775896800's digits is 81
- More coming soon!
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"Number 138676775896800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138676775896800 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138676775896800/
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The information we have on file for 138676775896800 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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