138182768001828251520
138,182,768,001,828,251,520 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138182768001828251520 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 512 divisors.
138182768001828251520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138182768001828251520:
27 × 3 × 5 × 7 × 13 × 79 × 10011154773629
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 79 × 10011154773629)See below for interesting mathematical facts about the number 138182768001828251520 from the Numbermatics database.
Names of 138182768001828251520
- Cardinal: 138182768001828251520 can be written as One hundred thirty-eight quintillion, one hundred eighty-two quadrillion, seven hundred sixty-eight trillion, one billion, eight hundred twenty-eight million, two hundred fifty-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3818276800182825152 × 1020
Factors of 138182768001828251520
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 10011154773738
Divisors of 138182768001828251520
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 79 80 84 91 96 104 105 112 120 128 130 140 156 158 160 168 182 192 195 208 210 224 237 240 260 273 280 312 316 320 336 364 384 390 395 416 420 448 455 474 480 520 546 553 560 624 632 640 672 728 780 790 832 840 896 910 948 960 1027 1040 1092 1106 1120 1185 1248 1264 1344 1365 1456 1560 1580 1659 1664 1680 1820 1896 1920 2054 2080 2184 2212 2240 2370 2496 2528 2688 2730 2765 2912 3081 3120 3160 3318 3360 3640 3792 4108 4160 4368 4424 4480 4740 4992 5056 5135 5460 5530 5824 6162 6240 6320 6636 6720 7189 7280 7584 8216 8295 8320 8736 8848 9480 10112 10270 10920 11060 11648 12324 12480 12640 13272 13440 14378 14560 15168 15405 16432 16590 17472 17696 18960 20540 21567 21840 22120 24648 24960 25280 26544 28756 29120 30336 30810 32864 33180 34944 35392 35945 37920 41080 43134 43680 44240 49296 50560 53088 57512 58240 61620 65728 66360 70784 71890 75840 82160 86268 87360 88480 98592 106176 107835 115024 123240 131456 132720 143780 151680 164320 172536 174720 176960 197184 212352 215670 230048 246480 265440 287560 328640 345072 353920 394368 431340 460096 492960 530880 575120 657280 690144 862680 920192 985920 1061760 1150240 1380288 1725360 1971840 2300480 2760576 3450720 4600960 6901440 13802880 10011154773629 20022309547258 30033464320887 40044619094516 50055773868145 60066928641774 70078083415403 80089238189032 100111547736290 120133857283548 130145012057177 140156166830806 150167321604435 160178476378064 200223095472580 210234250246209 240267714567096 260290024114354 280312333661612 300334643208870 320356952756128 350390417077015 390435036171531 400446190945160 420468500492418 480535429134192 520580048228708 560624667323224 600669286417740 640713905512256 650725060285885 700780834154030 780870072343062 790881227116691 800892381890320 840937000984836 911015084400239 961070858268384 1041160096457416 1051171251231045 1121249334646448 1201338572835480 1281427811024512 1301450120571770 1401561668308060 1561740144686124 1581762454233382 1601784763780640 1681874001969672 1822030168800478 1922141716536768 1952175180857655 2082320192914832 2102342502462090 2242498669292896 2372643681350073 2402677145670960 2602900241143540 2733045253200717 2803123336616120 3123480289372248 3163524908466764 3203569527561280 3363748003939344 3644060337600956 3844283433073536 3904350361715310 3954406135583455 4164640385829664 4204685004924180 4484997338585792 4555075422001195 4745287362700146 4805354291341920 5205800482287080 5466090506401434 5536168589816837 5606246673232240 6246960578744496 6327049816933528 6407139055122560 6727496007878688 7288120675201912 7808700723430620 7908812271166910 8329280771659328 8409370009848360 8969994677171584 9110150844002390 9490574725400292 9610708582683840 10281455952516983 10411600964574160 10932181012802868 11072337179633674 11212493346464480 11863218406750365 12493921157488992 12654099633867056 13454992015757376 13665226266003585 14576241350403824 15617401446861240 15817624542333820 16608505769450511 16658561543318656 16818740019696720 18220301688004780 18981149450800584 19221417165367680 20562911905033966 20823201929148320 21864362025605736 22144674359267348 22424986692928960 23726436813500730 24987842314977984 25308199267734112 26909984031514752 27330452532007170 27680842949084185 29152482700807648 30844367857550949 31234802893722480 31635249084667640 33217011538901022 33637480039393440 36440603376009560 37962298901601168 41125823810067932 41646403858296640 43728724051211472 44289348718534696 44849973385857920 47452873627001460 49975684629955968 50616398535468224 51407279762584915 54660905064014340 55361685898168370 58304965401615296 61688735715101898 62469605787444960 63270498169335280 66434023077802044 67274960078786880 71970191667618881 72881206752019120 75924597803202336 82251647620135864 83042528847252555 83292807716593280 87457448102422944 88578697437069392 94905747254002920 101232797070936448 102814559525169830 109321810128028680 110723371796336740 116609930803230592 123377471430203796 124939211574889920 126540996338670560 132868046155604088 134549920157573760 143940383335237762 145762413504038240 151849195606404672 154221839287754745 164503295240271728 166085057694505110 174914896204845888 177157394874138784 189811494508005840 205629119050339660 215910575002856643 218643620256057360 221446743592673480 246754942860407592 249878423149779840 253081992677341120 265736092311208176 287880766670475524 291524827008076480 303698391212809344 308443678575509490 329006590480543456 332170115389010220 349829792409691776 354314789748277568 359850958338094405 379622989016011680 411258238100679320 431821150005713286 437287240512114720 442893487185346960 493509885720815184 506163985354682240 531472184622416352 575761533340951048 583049654016152960 616887357151018980 658013180961086912 664340230778020440 708629579496555136 719701916676188810 759245978032023360 822516476201358640 863642300011426572 874574481024229440 885786974370693920 987019771441630368 1062944369244832704 1079552875014283215 1151523066681902096 1233774714302037960 1316026361922173824 1328680461556040880 1439403833352377620 1518491956064046720 1645032952402717280 1727284600022853144 1749148962048458880 1771573948741387840 1974039542883260736 2125888738489665408 2159105750028566430 2303046133363804192 2467549428604075920 2657360923112081760 2878807666704755240 3290065904805434560 3454569200045706288 3543147897482775680 3948079085766521472 4318211500057132860 4606092266727608384 4935098857208151840 5314721846224163520 5757615333409510480 6580131809610869120 6909138400091412576 8636423000114265720 9212184533455216768 9870197714416303680 10629443692448327040 11515230666819020960 13818276800182825152 17272846000228531440 19740395428832607360 23030461333638041920 27636553600365650304 34545692000457062880 46060922667276083840 69091384000914125760 138182768001828251520
- Sum of all divisors σ(n): 548963674242955776000
- Sum of proper divisors (its aliquot sum) s(n): 410780906241127524480
- 138182768001828251520 is an abundant number, because the sum of its proper divisors (410780906241127524480) is greater than itself. Its abundance is 272598138239299272960
Bases of 138182768001828251520
- Binary: 11101111101101010111100111101011111101111010010111111100111100000002
- Hexadecimal: 0x77DABCF5FBD2FE780
- Base-36: T5UIV4WMA4Y2O
Squares and roots of 138182768001828251520
- 138182768001828251520 squared (1381827680018282515202) is 19094477372647089711270957223620382310400
- 138182768001828251520 cubed (1381827680018282515203) is 2638527736900651850727889315357666897545246131061969911808000
-
The
square root of 138182768001828251520 is 11755116673.2545981787 -
The
cube root of 138182768001828251520 is 5169929.6008560077
Scales and comparisons
How big is 138182768001828251520?- 138,182,768,001,828,251,520 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,182,768,001,828,251,520 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138182768001828251520 cubic inches would be around 430827.5 feet tall.
Recreational maths with 138182768001828251520
- 138182768001828251520 backwards is 025152828100867281831
- 138182768001828251520 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138182768001828251520's digits is 78
- 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 138182768001828251520 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 138182768001828251520 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138182768001828251520/
Chicago style:
Numbermatics. 2024. "Number 138182768001828251520 - Facts about the integer". https://numbermatics.com/n/138182768001828251520/
The information we have on file for 138182768001828251520 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 138182768001828251520, math, Factors of 138182768001828251520, curriculum, school, college, exams, university, Prime factorization of 138182768001828251520, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred eighty-two quadrillion, seven hundred sixty-eight trillion, one billion, eight hundred twenty-eight million, two hundred fifty-one thousand, five hundred twenty.