138072522870380800
138,072,522,870,380,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138072522870380800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
138072522870380800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138072522870380800:
28 × 52 × 13 × 172 × 10612 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 17 × 1061 × 1061 × 5101)See below for interesting mathematical facts about the number 138072522870380800 from the Numbermatics database.
Names of 138072522870380800
- Cardinal: 138072522870380800 can be written as One hundred thirty-eight quadrillion, seventy-two trillion, five hundred twenty-two billion, eight hundred seventy million, three hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380725228703808 × 1017
Factors of 138072522870380800
Divisors of 138072522870380800
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 128 130 136 160 170 200 208 221 256 260 272 289 320 325 340 400 416 425 442 520 544 578 640 650 680 800 832 850 884 1040 1061 1088 1105 1156 1280 1300 1360 1445 1600 1664 1700 1768 2080 2122 2176 2210 2312 2600 2720 2890 3200 3328 3400 3536 3757 4160 4244 4352 4420 4624 5101 5200 5305 5440 5525 5780 6400 6800 7072 7225 7514 8320 8488 8840 9248 10202 10400 10610 10880 11050 11560 13600 13793 14144 14450 15028 16640 16976 17680 18037 18496 18785 20404 20800 21220 21760 22100 23120 25505 26525 27200 27586 28288 28900 30056 33952 35360 36074 36992 37570 40808 41600 42440 44200 46240 51010 53050 54400 55172 56576 57800 60112 66313 67904 68965 70720 72148 73984 75140 81616 83200 84880 86717 88400 90185 92480 93925 102020 106100 108800 110344 115600 120224 127525 132626 135808 137930 141440 144296 150280 163232 169760 173434 176800 180370 184960 187850 204040 212200 220688 231200 234481 240448 255050 265252 271616 275860 282880 288592 300560 306629 326464 331565 339520 344825 346868 353600 360740 369920 375700 408080 424400 433585 441376 450925 462400 468962 480896 510100 530504 551720 577184 601120 613258 652928 663130 679040 689650 693736 707200 721480 751400 816160 848800 867170 882752 901850 924800 937924 961792 1020200 1061008 1103440 1125721 1127321 1154368 1172405 1202240 1226516 1305856 1326260 1358080 1379300 1387472 1414400 1442960 1474189 1502800 1533145 1632320 1657825 1697600 1734340 1765504 1803700 1849600 1875848 2040400 2122016 2167925 2206880 2251442 2254642 2308736 2344810 2404480 2453032 2652520 2758600 2774944 2885920 2948378 3005600 3066290 3264640 3315650 3395200 3468680 3531008 3607400 3751696 3986177 4080800 4244032 4335850 4413760 4502884 4509284 4617472 4689620 4808960 4906064 5305040 5412161 5517200 5549888 5628605 5636605 5771840 5862025 5896756 6011200 6132580 6529280 6631300 6790400 6937360 7214800 7370945 7503392 7665725 7972354 8161600 8488064 8671700 8827520 9005768 9018568 9379240 9812128 10610080 10824322 11034400 11099776 11257210 11273210 11543680 11724050 11793512 12022400 12265160 13262600 13874720 14429600 14634373 14741890 15006784 15331450 15944708 16323200 16976128 17343400 17655040 18011536 18037136 18758480 19137257 19164457 19624256 19930885 21220160 21648644 22068800 22199552 22514420 22546420 23087360 23448100 23587024 24044800 24530320 26525200 27060805 27749440 28143025 28183025 28859200 29268746 29483780 30013568 30662900 31889416 32646400 34686800 36023072 36074272 36854725 37516960 38274514 38328914 39248512 39861770 42440320 43297288 44137600 45028840 45092840 46896200 47174048 49060640 53050400 54121610 55498880 56286050 56366050 57718400 58537492 58967560 60027136 61325800 63778832 69373600 70358093 72046144 72148544 73171865 73709450 75033920 76549028 76657828 78497024 79723540 84880640 86594576 88275200 90057680 90185680 92006737 93792400 94348096 95686285 95822285 98121280 99654425 106100800 108243220 110997760 112572100 112732100 115436800 117074984 117935120 122651600 127557664 135304025 138747200 140716186 144092288 144297088 146343730 147418900 150067840 153098056 153315656 159447080 173189152 180115360 180371360 184013474 187584800 188696192 191372570 191644570 196242560 199308850 212201600 216486440 225144200 225464200 234149968 235870240 245303200 248784341 255115328 270608050 277494400 281432372 288184576 288594176 292687460 294837800 300135680 306196112 306631312 318894160 325333369 346378304 351790465 360230720 360742720 365859325 368026948 375169600 377392384 382745140 383289140 392485120 398617700 424403200 432972880 450288400 450928400 460033685 468299936 471740480 478431425 479111425 490606400 497568682 510230656 541216100 554988800 562864744 585374920 589675600 612392224 613262624 637788320 650666738 692756608 703580930 720461440 721485440 731718650 736053896 750339200 765490280 766578280 797235400 865945760 900576800 901856800 920067370 936599872 943480960 956862850 958222850 981212800 995137364 1020461312 1082432200 1125729488 1170749840 1179351200 1196087581 1224784448 1226525248 1243921705 1275576640 1301333476 1385513216 1407161860 1440922880 1442970880 1463437300 1472107792 1500678400 1530980560 1533156560 1564114529 1594470800 1626666845 1731891520 1758952325 1801153600 1803713600 1840134740 1873199744 1886961920 1913725700 1916445700 1962425600 1990274728 2164864400 2251458976 2300168425 2341499680 2358702400 2392175162 2449568896 2453050496 2487843410 2551153280 2602666952 2814323720 2926874600 2944215584 3061961120 3066313120 3128229058 3188941600 3253333690 3463783040 3517904650 3602307200 3607427200 3680269480 3746399488 3827451400 3832891400 3980549456 4229333797 4329728800 4502917952 4600336850 4682999360 4717404800 4784350324 4899137792 4906100992 4975686820 5102306560 5205333904 5628647440 5742302821 5853749200 5888431168 5980437905 6123922240 6132626240 6219608525 6256458116 6377883200 6506667380 6927566080 7035809300 7204614400 7214854400 7360538960 7654902800 7665782800 7820572645 7961098912 8133334225 8458667594 8659457600 9005835904 9200673700 9365998720 9434809600 9568700648 9951373640 10410667808 11257294880 11484605642 11707498400 11776862336 11960875810 12247844480 12265252480 12439217050 12512916232 12755766400 13013334760 14071618600 14721077920 15309805600 15331565600 15641145290 15922197824 16266668450 16917335188 17318915200 18011671808 18401347400 18731997440 19137401296 19902747280 20333488877 20821335616 21146668985 22514589760 22969211284 23414996800 23553724672 23921751620 24495688960 24530504960 24878434100 25025832464 25511532800 26026669520 28143237200 28711514105 29442155840 29902189525 30619611200 30663131200 31282290580 31844395648 32533336900 33834670376 34637830400 36802694800 38274802592 39102863225 39805494560 40666977754 41642671232 42293337970 45029179520 45938422568 46829993600 47843503240 49756868200 50051664928 52053339040 56286474400 57423028210 58884311680 59804379050 61239222400 61326262400 62564581160 63688791296 65066673800 67669340752 73605389600 74649936673 76549605184 78205726450 79610989120 81333955508 83285342464 84586675940 90058359040 91876845136 93659987200 95687006480 97619147957 99513736400 100103329856 101667444385 104106678080 105733344925 112572948800 114846056420 117768623360 119608758100 122478444800 122652524800 125129162320 130133347600 135338681504 143557570525 147210779200 149299873346 153099210368 156411452900 159221978240 162667911016 169173351880 183753690272 191374012960 195238295914 199027472800 200206659712 203334888770 208213356160 211466689850 225145897600 229692112840 239217516200 250258324640 260266695200 270677363008 287115141050 294421558400 298599746692 306198420736 312822905800 318443956480 325335822032 338346703760 367507380544 373249683365 382748025920 390476591828 398054945600 400413319424 406669777540 416426712320 422933379700 450291795200 459384225680 478435032400 488095739785 500516649280 508337221925 520533390400 541354726016 574230282100 588843116800 597199493384 625645811600 650671644064 676693407520 735014761088 746499366730 765496051840 780953183656 796109891200 813339555080 845866759400 918768451360 956870064800 976191479570 1001033298560 1016674443850 1041066780800 1082709452032 1148460564200 1194398986768 1251291623200 1269048923441 1301343288128 1353386815040 1470029522176 1492998733460 1530992103680 1561906367312 1592219782400 1626679110160 1659525515269 1691733518800 1837536902720 1866248416825 1913740129600 1952382959140 2002066597120 2033348887700 2082133561600 2296921128400 2388797973536 2440478698925 2502583246400 2538097846882 2602686576256 2706773630080 2985997466920 3123812734624 3253358220320 3319051030538 3383467037600 3675073805440 3732496833650 3827480259200 3904765918280 4066697775400 4593842256800 4777595947072 4880957397850 5005166492800 5076195693764 5205373152512 5413547260160 5971994933840 6247625469248 6345244617205 6506716440640 6638102061076 6766934075200 7350147610880 7464993667300 7654960518400 7809531836560 8133395550800 8297627576345 9187684513600 9555191894144 9761914795700 10010332985600 10152391387528 11943989867680 12495250938496 12690489234410 13013432881280 13276204122152 13533868150400 14929987334600 15619063673120 16266791101600 16595255152690 18375369027200 19110383788288 19523829591400 20304782775056 21573831698497 23887979735360 24990501876992 25380978468820 26026865762560 26552408244304 27067736300800 29859974669200 31238127346240 31726223086025 32533582203200 33190510305380 36750738054400 39047659182800 40609565550112 41488137881725 43147663396994 47775959470720 50761956937640 53104816488608 59719949338400 62476254692480 63452446172050 65067164406400 66381020610760 78095318365600 81219131100224 82976275763450 86295326793988 95551918941440 101523913875280 106209632977216 107869158492485 119439898676800 124952509384960 126904892344100 130134328812800 132762041221520 156190636731200 162438262200448 165952551526900 172590653587976 203047827750560 212419265954432 215738316984970 238879797353600 253809784688200 265524082443040 312381273462400 324876524400896 331905103053800 345181307175952 406095655501120 424838531908864 431476633969940 477759594707200 507619569376400 531048164886080 539345792462425 624762546924800 663810206107600 690362614351904 812191311002240 862953267939880 1015239138752800 1062096329772160 1078691584924850 1327620412215200 1380725228703808 1624382622004480 1725906535879760 2030478277505600 2124192659544320 2157383169849700 2655240824430400 2761450457407616 3451813071759520 4060956555011200 4314766339699400 5310481648860800 5522900914815232 6903626143519040 8121913110022400 8629532679398800 10620963297721600 13807252287038080 17259065358797600 27614504574076160 34518130717595200 69036261435190400 138072522870380800
- Sum of all divisors σ(n): 391408042812107188
- Sum of proper divisors (its aliquot sum) s(n): 253335519941726388
- 138072522870380800 is an abundant number, because the sum of its proper divisors (253335519941726388) is greater than itself. Its abundance is 115262997071345588
Bases of 138072522870380800
- Binary: 1111010101000100000111010010111101110111001011001000000002
- Hexadecimal: 0x1EA883A5EEE5900
- Base-36: 11RIMHCM4KXS
Squares and roots of 138072522870380800
- 138072522870380800 squared (1380725228703808002) is 19064021571791829070317937008640000
- 138072522870380800 cubed (1380725228703808003) is 2632217554472660245605142524306642858009690112000000
-
The
square root of 138072522870380800 is 371581112.1012218511 -
The
cube root of 138072522870380800 is 516855.4342037209
Scales and comparisons
How big is 138072522870380800?- 138,072,522,870,380,800 seconds is equal to 4,390,279,140 years, 48 weeks, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,072,522,870,380,800 would take you about thirteen billion, one hundred seventy million, eight hundred thirty-seven thousand, four hundred twenty-two 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 138072522870380800 cubic inches would be around 43071.3 feet tall.
Recreational maths with 138072522870380800
- 138072522870380800 backwards is 008083078225270831
- 138072522870380800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138072522870380800's digits is 64
- 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 138072522870380800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 138072522870380800 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138072522870380800/
Chicago style:
Numbermatics. 2024. "Number 138072522870380800 - Facts about the integer". https://numbermatics.com/n/138072522870380800/
The information we have on file for 138072522870380800 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 138072522870380800, math, Factors of 138072522870380800, curriculum, school, college, exams, university, Prime factorization of 138072522870380800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seventy-two trillion, five hundred twenty-two billion, eight hundred seventy million, three hundred eighty thousand, eight hundred.