138125777212800
138,125,777,212,800 is an even composite number composed of six prime numbers multiplied together.
138125777212800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138125777212800:
27 × 34 × 52 × 132 × 17 × 185483
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 17 × 185483)See below for interesting mathematical facts about the number 138125777212800 from the Numbermatics database.
Names of 138125777212800
- Cardinal: 138125777212800 can be written as One hundred thirty-eight trillion, one hundred twenty-five billion, seven hundred seventy-seven million, two hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381257772128 × 1014
Factors of 138125777212800
Divisors of 138125777212800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 81 85 90 96 100 102 104 108 117 120 128 130 135 136 144 150 153 156 160 162 169 170 180 192 195 200 204 208 216 221 225 234 240 255 260 270 272 288 300 306 312 320 324 325 338 340 351 360 384 390 400 405 408 416 425 432 442 450 459 468 480 507 510 520 540 544 576 585 600 612 624 640 648 650 663 675 676 680 702 720 765 780 800 810 816 832 845 850 864 884 900 918 936 960 975 1014 1020 1040 1053 1080 1088 1105 1152 1170 1200 1224 1248 1275 1296 1300 1326 1350 1352 1360 1377 1404 1440 1521 1530 1560 1600 1620 1632 1664 1690 1700 1728 1755 1768 1800 1836 1872 1920 1950 1989 2025 2028 2040 2080 2106 2160 2176 2210 2295 2340 2400 2448 2496 2535 2550 2592 2600 2652 2700 2704 2720 2754 2808 2873 2880 2925 3042 3060 3120 3200 3240 3264 3315 3380 3400 3456 3510 3536 3600 3672 3744 3825 3900 3978 4050 4056 4080 4160 4212 4225 4320 4420 4563 4590 4680 4800 4896 4992 5070 5100 5184 5200 5265 5304 5400 5408 5440 5508 5525 5616 5746 5760 5850 5967 6084 6120 6240 6480 6528 6630 6760 6800 6885 7020 7072 7200 7344 7488 7605 7650 7800 7956 8100 8112 8160 8320 8424 8450 8619 8640 8775 8840 9126 9180 9360 9600 9792 9945 10140 10200 10368 10400 10530 10608 10800 10816 10880 11016 11050 11232 11475 11492 11700 11934 12168 12240 12480 12675 12960 13260 13520 13600 13689 13770 14040 14144 14365 14400 14688 14976 15210 15300 15600 15912 16200 16224 16320 16575 16848 16900 17238 17280 17550 17680 17901 18252 18360 18720 19584 19890 20280 20400 20800 21060 21216 21600 21632 22032 22100 22464 22815 22950 22984 23400 23868 24336 24480 24960 25350 25857 25920 26325 26520 27040 27200 27378 27540 28080 28288 28730 28800 29376 29835 30420 30600 31200 31824 32400 32448 32640 33150 33696 33800 34425 34476 35100 35360 35802 36504 36720 37440 38025 39780 40560 40800 41600 42120 42432 43095 43200 44064 44200 44928 45630 45900 45968 46800 47736 48672 48960 49725 50700 51714 51840 52650 53040 54080 54400 54756 55080 56160 57460 58752 59670 60840 61200 62400 63648 64800 64896 66300 67392 67600 68445 68850 68952 70200 70720 71604 71825 73008 73440 74880 76050 77571 79560 81120 81600 84240 84864 86190 86400 88128 88400 89505 91260 91800 91936 93600 95472 97344 97920 99450 101400 103428 105300 106080 108160 109512 110160 112320 114075 114920 119340 121680 122400 124800 127296 129285 129600 132600 134784 135200 136890 137700 137904 140400 141440 143208 143650 146016 146880 149175 152100 155142 159120 162240 163200 168480 172380 176256 176800 179010 182520 183600 183872 185483 187200 190944 194688 198900 202800 206856 210600 212160 215475 219024 220320 224640 228150 229840 232713 238680 243360 244800 254592 258570 259200 265200 270400 273780 275400 275808 280800 286416 287300 292032 293760 298350 304200 310284 318240 324480 336960 342225 344760 353600 358020 365040 367200 367744 370966 374400 381888 387855 397800 405600 413712 421200 424320 430950 438048 440640 447525 456300 459680 465426 477360 486720 489600 517140 530400 540800 547560 550800 551616 556449 561600 572832 574600 584064 596700 608400 620568 636480 646425 673920 684450 689520 707200 716040 730080 734400 741932 763776 775710 795600 811200 827424 842400 861900 876096 881280 895050 912600 919360 927415 930852 954720 973440 1034280 1060800 1095120 1101600 1103232 1112898 1123200 1145664 1149200 1163565 1193400 1216800 1241136 1272960 1292850 1368900 1379040 1432080 1460160 1468800 1483864 1551420 1591200 1622400 1654848 1669347 1684800 1723800 1752192 1790100 1825200 1838720 1854830 1861704 1909440 1939275 2068560 2121600 2190240 2203200 2225796 2291328 2298400 2327130 2386800 2411279 2433600 2482272 2585700 2737800 2758080 2782245 2864160 2920320 2967728 3102840 3153211 3182400 3309696 3338694 3369600 3447600 3580200 3650400 3709660 3723408 3818880 3878550 4137120 4380480 4406400 4451592 4596800 4637075 4654260 4773600 4822558 4867200 4964544 5008041 5171400 5475600 5516160 5564490 5728320 5817825 5935456 6205680 6306422 6364800 6677388 6895200 7160400 7233837 7300800 7419320 7446816 7757100 8274240 8346735 8760960 8903184 9193600 9274150 9308520 9459633 9547200 9645116 9929088 10016082 10342800 10951200 11128980 11456640 11635650 11870912 12056395 12411360 12612844 13354776 13790400 13911225 14320800 14467674 14601600 14838640 14893632 15024123 15514200 15766055 16548480 16693470 17806368 18548300 18617040 18919266 19094400 19290232 20032164 20685600 21701511 21902400 22257960 23271300 23741824 24112790 24822720 25040205 25225688 26709552 27580800 27822450 28378899 28641600 28935348 29677280 29787264 30048246 31028400 31346627 31532110 33386940 35612736 36169185 37096600 37234080 37838532 38580464 40064328 40991743 41371200 41733675 43403022 43804800 44515920 46542600 47298165 48225580 49645440 50080410 50451376 53419104 55644900 56757798 57283200 57870696 59354560 60096492 60281975 62056800 62693254 63064220 65104533 66773880 71225472 72338370 74193200 74468160 75120615 75677064 77160928 78830275 80128656 81983486 82742400 83467350 85136697 86806044 89031840 93085200 94039881 94596330 96451160 100160820 100902752 106838208 108507555 111289800 113515596 115741392 118709120 120192984 120563950 122975229 124113600 125201025 125386508 126128440 130209066 133547760 141894495 144676740 148386400 148936320 150241230 151354128 154321856 156733135 157660550 160257312 163966972 166934700 170273394 173612088 178063680 180845925 186170400 188079762 189192660 192902320 195313599 200321640 201805504 204958715 213676416 217015110 222579600 227031192 231482784 236490825 240385968 241127900 245950458 248227200 250402050 250773016 252256880 255410091 260418132 267095520 282119643 283788990 289353480 296772800 300482460 302708256 308643712 313466270 315321100 320514624 325522665 327933944 333869400 340546788 347224176 356127360 361691850 368925687 372340800 375603075 376159524 378385320 385804640 390627198 400643280 403611008 409917430 425683485 434030220 445159200 454062384 462965568 470199405 472981650 480771936 482255800 491900916 500804100 501546032 504513760 510820182 520836264 532892659 534191040 542537775 564239286 567577980 578706960 593545600 600964920 605416512 614876145 626932540 630642200 641029248 651045330 655867888 667738800 681093576 694448352 709472475 723383700 737851374 744681600 751206150 752319048 756770640 771609280 781254396 783665675 801286560 819834860 846358929 851366970 868060440 890318400 908124768 925931136 940398810 945963300 961543872 964511600 976567995 983801832 1001608200 1003092064 1009027520 1021640364 1024793575 1041672528 1065785318 1068382080 1085075550 1106777061 1128478572 1135155960 1157413920 1201929840 1210833024 1229752290 1253865080 1261284400 1277050455 1302090660 1311735776 1335477600 1362187152 1388896704 1410598215 1418944950 1446767400 1475702748 1502412300 1504638096 1513541280 1543218560 1562508792 1567331350 1598677977 1602573120 1627613325 1639669720 1692717858 1702733940 1736120880 1780636800 1816249536 1844628435 1880797620 1891926600 1923087744 1929023200 1953135990 1967603664 2003216400 2006184128 2018055040 2043280728 2049587150 2083345056 2128417425 2131570636 2170151100 2213554122 2256957144 2270311920 2314827840 2350997025 2403859680 2459504580 2507730160 2522568800 2539076787 2554100910 2604181320 2623471552 2664463295 2670955200 2724374304 2777793408 2821196430 2837889900 2893534800 2951405496 3004824600 3009276192 3027082560 3074380725 3125017584 3134662700 3197355954 3205146240 3255226650 3279339440 3320331183 3385435716 3405467880 3472241760 3632499072 3689256870 3761595240 3783853200 3858046400 3906271980 3935207328 4006432800 4012368256 4086561456 4099174300 4166690112 4231794645 4256834850 4263141272 4340302200 4427108244 4513914288 4540623840 4629655680 4701994050 4796033931 4807719360 4882839975 4919009160 5015460320 5045137600 5078153574 5108201820 5208362640 5246943104 5328926590 5341910400 5448748608 5533885305 5642392860 5675779800 5787069600 5902810992 6009649200 6018552384 6054165120 6148761450 6250035168 6269325400 6385252275 6394711908 6510453300 6558678880 6640662366 6770871432 6810935760 6944483520 7052991075 7378513740 7523190480 7567706400 7716092800 7812543960 7870414656 7993389885 8012865600 8173122912 8198348600 8333380224 8463589290 8513669700 8526282544 8680604400 8854216488 9027828576 9081247680 9223142175 9403988100 9592067862 9615438720 9765679950 9838018320 10030920640 10090275200 10156307148 10216403640 10416725280 10657853180 10897497216 11067770610 11284785720 11351559600 11574139200 11805621984 12019298400 12037104768 12297522900 12500070336 12538650800 12695383935 12770504550 12789423816 13020906600 13117357760 13281324732 13322316475 13541742864 13621871520 13888967040 14105982150 14388101793 14757027480 15046380960 15135412800 15625087920 15740829312 15986779770 16025731200 16346245824 16396697200 16601655915 16927178580 17027339400 17052565088 17361208800 17708432976 18055657152 18162495360 18446284350 18807976200 19184135724 19531359900 19676036640 20061841280 20312614296 20432807280 20833450560 21158973225 21315706360 22135541220 22569571440 22703119200 23148278400 23611243968 23980169655 24038596800 24595045800 25000140672 25077301600 25390767870 25541009100 25578847632 26041813200 26234715520 26562649464 26644632950 27083485728 27243743040 27669426525 28211964300 28776203586 29514054960 30092761920 30270825600 31250175840 31973559540 32692491648 32793394400 33203311830 33854357160 34054678800 34105130176 34722417600 35416865952 36111314304 36892568700 37615952400 38368271448 39062719800 39352073280 39966949425 40625228592 40865614560 41666901120 42317946450 42631412720 43164305379 44271082440 45139142880 45406238400 47222487936 47960339310 48077193600 49190091600 50154603200 50781535740 51082018200 51157695264 52083626400 53125298928 53289265900 54166971456 54487486080 55338853050 56423928600 57552407172 59028109920 60185523840 62500351680 63476919675 63947119080 65586788800 66406623660 67708714320 68109357600 68210260352 69444835200 70833731904 71940508965 73785137400 75231904800 76736542896 78125439600 78704146560 79933898850 81250457184 81731229120 83008279575 84635892900 85262825440 86328610758 88542164880 90278285760 90812476800 95920678620 98380183200 100309206400 101563071480 102164036400 102315390528 104167252800 106250597856 106578531800 108333942912 110677706100 112847857200 115104814344 118056219840 119900848275 125000703360 126953839350 127894238160 131173577600 132813247320 135417428640 136218715200 141667463808 143881017930 147570274800 150463809600 153473085792 156250879200 159867797700 162500914368 163462458240 166016559150 169271785800 170525650880 172657221516 177084329760 180556571520 191841357240 196760366400 203126142960 204328072800 204630781056 208334505600 212501195712 213157063600 215821526895 221355412200 225695714400 230209628688 236112439680 239801696550 253907678700 255788476320 265626494640 270834857280 272437430400 287762035860 295140549600 300927619200 306946171584 312501758400 319735595400 325001828736 332033118300 338543571600 341051301760 345314443032 354168659520 359702544825 383682714480 393520732800 406252285920 408656145600 425002391424 426314127200 431643053790 442710824400 451391428800 460419257376 479603393100 507815357400 511576952640 531252989280 541669714560 575524071720 590281099200 613892343168 625003516800 639471190800 664066236600 677087143200 690628886064 708337319040 719405089650 767365428960 812504571840 817312291200 852628254400 863286107580 885421648800 902782857600 920838514752 959206786200 1015630714800 1023153905280 1062505978560 1079107634475 1151048143440 1180562198400 1278942381600 1328132473200 1354174286400 1381257772128 1438810179300 1534730857920 1625009143680 1705256508800 1726572215160 1770843297600 1841677029504 1918413572400 2031261429600 2125011957120 2158215268950 2302096286880 2557884763200 2656264946400 2708348572800 2762515544256 2877620358600 3069461715840 3453144430320 3541686595200 3836827144800 4062522859200 4316430537900 4604192573760 5115769526400 5312529892800 5525031088512 5755240717200 6906288860640 7673654289600 8125045718400 8632861075800 9208385147520 10625059785600 11510481434400 13812577721280 15347308579200 17265722151600 23020962868800 27625155442560 34531444303200 46041925737600 69062888606400 138125777212800
- Sum of all divisors σ(n): 584409534045480
- Sum of proper divisors (its aliquot sum) s(n): 446283756832680
- 138125777212800 is an abundant number, because the sum of its proper divisors (446283756832680) is greater than itself. Its abundance is 308157979619880
Bases of 138125777212800
- Binary: 111110110011111111010011110001010010101100000002
- Hexadecimal: 0x7D9FE9E29580
- Base-36: 1CYM3TG800
Squares and roots of 138125777212800
- 138125777212800 squared (1381257772128002) is 19078730330640059736483840000
- 138125777212800 cubed (1381257772128003) is 2635264455153078972788450359867441152000000
-
The
square root of 138125777212800 is 11752692.3388983513 -
The
cube root of 138125777212800 is 51692.1875756089
Scales and comparisons
How big is 138125777212800?- 138,125,777,212,800 seconds is equal to 4,391,972 years, 24 weeks, 1 day.
-
To count from 1 to 138,125,777,212,800 would take you about ten million, nine hundred seventy-nine thousand, nine 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 138125777212800 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138125777212800
- 138125777212800 backwards is 008212777521831
- 138125777212800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138125777212800's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138125777212800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138125777212800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138125777212800/
Chicago style:
Numbermatics. 2024. "Number 138125777212800 - Facts about the integer". https://numbermatics.com/n/138125777212800/
The information we have on file for 138125777212800 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 138125777212800, math, Factors of 138125777212800, curriculum, school, college, exams, university, Prime factorization of 138125777212800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twenty-five billion, seven hundred seventy-seven million, two hundred twelve thousand, eight hundred.