138315113917200
138,315,113,917,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138315113917200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1440 divisors.
138315113917200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138315113917200:
24 × 32 × 52 × 11 × 17 × 29 × 79 × 89681
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 17 × 29 × 79 × 89681)See below for interesting mathematical facts about the number 138315113917200 from the Numbermatics database.
Names of 138315113917200
- Cardinal: 138315113917200 can be written as One hundred thirty-eight trillion, three hundred fifteen billion, one hundred thirteen million, nine hundred seventeen thousand, two hundred.
Scientific notation
- Scientific notation: 1.383151139172 × 1014
Factors of 138315113917200
Divisors of 138315113917200
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 29 30 33 34 36 40 44 45 48 50 51 55 58 60 66 68 72 75 79 80 85 87 88 90 99 100 102 110 116 120 132 136 144 145 150 153 158 165 170 174 176 180 187 198 200 204 220 225 232 237 240 255 261 264 272 275 290 300 306 316 319 330 340 348 360 374 395 396 400 408 425 435 440 450 464 474 493 495 510 522 528 550 561 580 600 612 632 638 660 680 696 711 720 725 748 765 790 792 816 825 850 869 870 880 900 935 948 957 986 990 1020 1044 1100 1122 1160 1185 1200 1224 1264 1275 1276 1305 1320 1343 1360 1392 1422 1450 1479 1496 1530 1580 1584 1595 1650 1683 1700 1738 1740 1800 1870 1896 1914 1972 1975 1980 2040 2088 2175 2200 2244 2291 2320 2370 2448 2465 2475 2550 2552 2607 2610 2640 2686 2805 2844 2871 2900 2958 2992 3060 3160 3190 3300 3366 3400 3476 3480 3555 3600 3740 3792 3825 3828 3944 3950 3960 4029 4080 4176 4345 4350 4400 4437 4488 4582 4675 4740 4785 4930 4950 5100 5104 5214 5220 5372 5423 5610 5688 5742 5800 5916 5925 6120 6320 6380 6525 6600 6715 6732 6800 6873 6952 6960 7110 7395 7480 7650 7656 7821 7888 7900 7920 7975 8058 8415 8690 8700 8874 8976 9164 9350 9480 9570 9860 9900 10200 10428 10440 10744 10846 11220 11376 11455 11484 11600 11832 11850 12087 12240 12325 12760 13035 13050 13200 13430 13464 13746 13904 14025 14220 14355 14773 14790 14960 15300 15312 15642 15800 15950 16116 16269 16830 17380 17400 17748 17775 18328 18700 18960 19140 19720 19800 20145 20400 20619 20856 20880 21488 21692 21725 22185 22440 22910 22968 23664 23700 23925 24174 24650 25201 25520 26070 26100 26860 26928 27115 27492 28050 28440 28710 29546 29580 30600 31284 31600 31900 32232 32538 33575 33660 34365 34760 34800 35496 35550 36656 36975 37400 38280 38947 39105 39440 39600 40290 41238 41712 42075 43384 43450 44319 44370 44880 45820 45936 47400 47850 48348 48807 49300 50402 52140 52200 53720 54230 54984 56100 56880 57275 57420 59092 59160 60435 61200 62568 63800 64464 65076 65175 67150 67320 68730 69520 70992 71100 71775 73865 73950 74800 75603 76560 77894 78210 80580 81345 82476 84150 86768 86900 88638 88740 89681 91640 94800 95700 96696 97614 98600 100725 100804 103095 104280 104400 107440 108460 109968 110925 112200 114550 114840 116841 118184 118320 120870 125136 126005 127600 130152 130350 132957 134300 134640 135575 137460 142200 143550 147730 147900 151206 155788 156420 161160 162690 164952 168300 171825 173800 177276 177480 179362 183280 191400 193392 194735 195228 195525 197200 201450 201608 206190 208560 216920 221595 221850 224400 226809 229100 229680 233682 236368 241740 244035 252010 260304 260700 265914 268600 269043 271150 274920 284400 287100 295460 295800 302175 302412 311576 312840 322320 325380 329904 336600 343650 347600 350523 354552 354960 358724 369325 378015 382800 389470 390456 391050 402900 403216 406725 412380 428417 433840 443190 443700 448405 453618 458200 467364 483480 488070 504020 515475 521400 531828 537200 538086 542300 549840 574200 584205 590920 591600 604350 604824 623152 625680 630025 650760 664785 673200 687300 701046 709104 717448 738650 756030 778940 780912 782100 805800 807129 813450 824760 856834 886380 887400 896810 907236 916400 934728 966960 973675 976140 986491 1008040 1030950 1042800 1063656 1076172 1084600 1107975 1134045 1148400 1168410 1181840 1208700 1209648 1220175 1260050 1285251 1301520 1329570 1345215 1374600 1402092 1434896 1477300 1512060 1524577 1557880 1564200 1611600 1614258 1626900 1649520 1713668 1752615 1772760 1774800 1793620 1814472 1869456 1890075 1947350 1952280 1972982 2016080 2061900 2127312 2142085 2152344 2169200 2215950 2242025 2268090 2336820 2417400 2440350 2520100 2570502 2600749 2659140 2690430 2749200 2804184 2921025 2954600 2959473 3024120 3049154 3115760 3128400 3228516 3253800 3323925 3427336 3505230 3545520 3587240 3628944 3780150 3855753 3894700 3904560 3945964 4035645 4123800 4284170 4304688 4431900 4484050 4536180 4573731 4673640 4834800 4880700 4932455 5040200 5141004 5201498 5318280 5380860 5608368 5670225 5842050 5909200 5918946 6048240 6098308 6426255 6457032 6507600 6647850 6726075 6854672 7010460 7084799 7174480 7560300 7622885 7711506 7789400 7802247 7891928 8071290 8247600 8568340 8763075 8863800 8878419 8968100 9072360 9147462 9347280 9761400 9864910 10080400 10282008 10402996 10636560 10710425 10761720 11340450 11684100 11837892 12196616 12852510 12914064 13003745 13295700 13452150 13721193 14020920 14169598 14797365 15120600 15245770 15423012 15578800 15604494 15783856 16142580 16770347 17136680 17526150 17727600 17756838 17936200 18144720 18294924 19278765 19522800 19729820 20178225 20564016 20805992 21254397 21420850 21523440 22680900 22868655 23368200 23406741 23675784 24393232 24662275 25705020 26007490 26591400 26904300 27442386 28041840 28339196 28608239 29594730 30241200 30491540 30846024 31208988 32131275 32285160 33540694 34273360 35052300 35423995 35513676 35872400 36589848 38114425 38557530 39011235 39459640 40356450 41611984 42508794 42841700 44212733 44392095 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1105318325 1144329560 1168991835 1170337050 1183789200 1204415830 1207464984 1232755026 1246924624 1257776025 1275263820 1287370755 1324857413 1326381990 1341627760 1372119300 1373195472 1402790202 1416959800 1430411950 1445298996 1459020189 1509331230 1542301200 1558655780 1560449400 1591658388 1594079775 1643673368 1677034700 1700351760 1716494340 1768509320 1775683800 1806623745 1829492400 1849132539 1870386936 1872539280 1927065328 1945360252 1948319725 1989572985 2012441640 2054591710 2059793208 2122211184 2125439700 2145617925 2167948494 2210636650 2260050881 2288659120 2337983670 2340674100 2408831660 2414929968 2431700315 2465510052 2515552050 2550527640 2574741510 2649714826 2652763980 2744238600 2805580404 2833919600 2860823900 2890597992 2918040378 3011039575 3018662460 3081887565 3117311560 3120898800 3183316776 3188159550 3287346736 3315954975 3354069400 3432988680 3492805907 3506975505 3537018640 3551367600 3613247490 3698265078 3740773872 3773328075 3890720504 3896639450 3974572239 3979145970 4024883280 4109183420 4119586416 4250879400 4291235850 4335896988 4377060567 4421273300 4520101762 4675967340 4681348200 4817663320 4863400630 4931020104 5031104100 5101055280 5136479275 5149483020 5299429652 5305527960 5419871235 5488477200 5611160808 5721647800 5781195984 5836080756 5844959175 6022079150 6037324920 6163775130 6234623120 6366633552 6376319100 6436853775 6624287065 6631909950 6708138800 6780152643 6865977360 6985611814 7013951010 7226494980 7295100945 7396530156 7546656150 7781441008 7793278900 7949144478 7958291940 8218366840 8501758800 8582471700 8671793976 8754121134 8842546600 9033118725 9040203524 9245662695 9351934680 9362696400 9635326640 9726801260 9862040208 9947864925 10062208200 10272958550 10298966040 10478417721 10598859304 10611055920 10839742470 11222321616 11300254405 11443295600 11672161512 11689918350 11923716717 12044158300 12074649840 12158501575 12327550260 12752638200 12873707550 13248574130 13263819900 13560305286 13971223628 14027902020 14452989960 14590201890 14793060312 15093312300 15409437825 15586557800 15898288956 15916583880 16436733680 17164943400 17343587952 17464029535 17508242268 17534877525 17685093200 18066237450 18080407048 18491325390 18703869360 19453602520 19872861195 19895729850 20124416400 20340457929 20545917100 20597932080 20956835442 21197718608 21679484940 21885302835 22600508810 23344323024 23379836700 23847433434 24088316600 24317003150 24655100520 25505276400 25747415100 26497148260 26527639800 27099356175 27120610572 27942447256 28055804040 28905979920 29180403780 29586120624 30186624600 30818875650 31173115600 31435253163 31796577912 31833167760 33121435325 33900763215 34329886800 34928059070 35016484536 35069755050 36132474900 36160814096 36475504725 36982650780 38420864977 38907205040 39745722390 39791459700 40680915858 41091834200 41913670884 43358969880 43770605670 45201017620 46228313475 46759673400 47694866868 48176633200 48634006300 49310201040 51494830200 52392088605 52994296520 53055279600 54198712350 54241221144 55884894512 56111608080 56501272025 58360807560 59618583585 60373249200 61637751300 62870506326 63593155824 66242870650 67801526430 69856118140 70032969072 70139510100 72264949800 72951009450 73965301560 76841729954 79491444780 79582919400 81361831716 82183668400 83827341768 86717939760 87320147675 87541211340 90402035240 92456626950 93519346800 95389733736 97268012600 99364305975 101702289645 102989660400 104784177210 105988593040 108397424700 108482442288 109426514175 113002544050 115262594931 116721615120 119237167170 123275502600 125741012652 132485741300 135603052860 139712236280 140279020200 144529899600 145902018900 147930603120 153683459908 157176265815 158982889560 159165838800 162723663432 167654683536 169503816075 174640295350 175082422680 180804070480 184913253900 190779467472 192104324885 194536025200 198728611950 203404579290 209568354420 216794849400 218853028350 226005088100 230525189862 238474334340 246551005200 251482025304 261960443025 264971482600 271206105720 279424472560 280558040400 291804037800 298092917925 307366919816 314352531630 317965779120 325447326864 339007632150 345787784793 349280590700 350164845360 369826507800 384208649770 397457223900 406809158580 419136708840 433589698800 437706056700 452010176200 461050379724 476948668680 502964050608 508511448225 523920886050 529942965200 542412211440 576312974655 583608075600 596185835850 614733839632 628705063260 678015264300 691575569586 698561181400 739653015600 768417299540 785881329075 794914447800 813618317160 838273417680 875412113400 904020352400 922100759448 953897337360 960521624425 1017022896450 1047841772100 1152625949310 1192371671700 1257410126520 1356030528600 1383151139172 1397122362800 1536834599080 1571762658150 1589828895600 1627236634320 1728938923965 1750824226800 1844201518896 1921043248850 2034045792900 2095683544200 2305251898620 2384743343400 2514820253040 2712061057200 2766302278344 2881564873275 3073669198160 3143525316300 3457877847930 3842086497700 4068091585800 4191367088400 4610503797240 4769486686800 5532604556688 5763129746550 6287050632600 6915755695860 7684172995400 8136183171600 8644694619825 9221007594480 11526259493100 12574101265200 13831511391720 15368345990800 17289389239650 23052518986200 27663022783440 34578778479300 46105037972400 69157556958600 138315113917200
- Sum of all divisors σ(n): 580813921958400
- Sum of proper divisors (its aliquot sum) s(n): 442498808041200
- 138315113917200 is an abundant number, because the sum of its proper divisors (442498808041200) is greater than itself. Its abundance is 304183694124000
Bases of 138315113917200
- Binary: 111110111001011111111110011101101101011000100002
- Hexadecimal: 0x7DCBFF3B6B10
- Base-36: 1D1133MW40
Squares and roots of 138315113917200
- 138315113917200 squared (1383151139172002) is 19131070737928013128455840000
- 138315113917200 cubed (1383151139172003) is 2646116228474524602555426666529616448000000
-
The
square root of 138315113917200 is 11760744.6157630679 -
The
cube root of 138315113917200 is 51715.7959130533
Scales and comparisons
How big is 138315113917200?- 138,315,113,917,200 seconds is equal to 4,397,992 years, 40 weeks, 6 days, 1 hour.
-
To count from 1 to 138,315,113,917,200 would take you about ten million, nine hundred ninety-four thousand, nine hundred eighty-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 138315113917200 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138315113917200
- 138315113917200 backwards is 002719311513831
- 138315113917200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138315113917200's digits is 45
- More coming soon!
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"Number 138315113917200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138315113917200 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138315113917200/
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The information we have on file for 138315113917200 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!
Keywords: Divisors of 138315113917200, math, Factors of 138315113917200, curriculum, school, college, exams, university, Prime factorization of 138315113917200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred fifteen billion, one hundred thirteen million, nine hundred seventeen thousand, two hundred.