136746819553657064400
136,746,819,553,657,064,400 is an even composite number composed of six prime numbers multiplied together.
136746819553657064400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 136746819553657064400:
24 × 33 × 52 × 11 × 9901 × 116257701713
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 9901 × 116257701713)See below for interesting mathematical facts about the number 136746819553657064400 from the Numbermatics database.
Names of 136746819553657064400
- Cardinal: 136746819553657064400 can be written as One hundred thirty-six quintillion, seven hundred forty-six quadrillion, eight hundred nineteen trillion, five hundred fifty-three billion, six hundred fifty-seven million, sixty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.367468195536570644 × 1020
Factors of 136746819553657064400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 116257711635
Divisors of 136746819553657064400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 33 36 40 44 45 48 50 54 55 60 66 72 75 80 88 90 99 100 108 110 120 132 135 144 150 165 176 180 198 200 216 220 225 240 264 270 275 297 300 330 360 396 400 432 440 450 495 528 540 550 594 600 660 675 720 792 825 880 900 990 1080 1100 1188 1200 1320 1350 1485 1584 1650 1800 1980 2160 2200 2376 2475 2640 2700 2970 3300 3600 3960 4400 4752 4950 5400 5940 6600 7425 7920 9900 9901 10800 11880 13200 14850 19800 19802 23760 29700 29703 39600 39604 49505 59400 59406 79208 89109 99010 108911 118800 118812 148515 158416 178218 198020 217822 237624 247525 267327 297030 326733 356436 396040 435644 445545 475248 495050 534654 544555 594060 653466 712872 742575 792080 871288 891090 980199 990100 1069308 1089110 1188120 1306932 1336635 1425744 1485150 1633665 1742576 1782180 1960398 1980200 2138616 2178220 2227725 2376240 2613864 2673270 2722775 2940597 2970300 3267330 3564360 3920796 3960400 4277232 4356440 4455450 4900995 5227728 5346540 5445550 5881194 5940600 6534660 6683175 7128720 7841592 8168325 8712880 8910900 9801990 10693080 10891100 11762388 11881200 13069320 13366350 14702985 15683184 16336650 17821800 19603980 21386160 21782200 23524776 24504975 26138640 26732700 29405970 32673300 35643600 39207960 43564400 47049552 49009950 53465400 58811940 65346600 73514925 78415920 98019900 106930800 117623880 130693200 147029850 196039800 235247760 294059700 392079600 588119400 1176238800 116257701713 232515403426 348773105139 465030806852 581288508565 697546210278 930061613704 1046319315417 1162577017130 1278834718843 1395092420556 1743865525695 1860123227408 2092638630834 2325154034260 2557669437686 2790184841112 2906442542825 3138957946251 3487731051390 3836504156529 4185277261668 4650308068520 5115338875372 5231596577085 5580369682224 5812885085650 6277915892502 6394173594215 6975462102780 7673008313058 8370554523336 8719327628475 9300616137040 10230677750744 10463193154170 11509512469587 11625770171300 12555831785004 12788347188430 13950924205560 15346016626116 15694789731255 16741109046672 17438655256950 19182520782645 20461355501488 20926386308340 23019024939174 23251540342600 25111663570008 25576694376860 26157982885425 27901848411120 30692033252232 31389579462510 31970867971075 34528537408761 34877310513900 38365041565290 41852772616680 46038049878348 46503080685200 50223327140016 51153388753720 52315965770850 57547562347935 61384066504464 62779158925020 63941735942150 69057074817522 69754621027800 76730083130580 78473948656275 83705545233360 92076099756696 95912603913225 102306777507440 104631931541700 115095124695870 125558317850040 127883471884300 138114149635044 139509242055600 153460166261160 156947897312550 172642687043805 184152199513392 191825207826450 209263863083400 230190249391740 251116635700080 255766943768600 276228299270088 287737811739675 306920332522320 313895794625100 345285374087610 383650415652900 418527726166800 460380498783480 511533887537200 552456598540176 575475623479350 627791589250200 690570748175220 767300831305800 863213435219025 920760997566960 1150951246958700 1151067504660413 1255583178500400 1381141496350440 1534601662611600 1726426870438050 2301902493917400 2302135009320826 2762282992700880 3452853740876100 3453202513981239 4603804987834800 4604270018641652 5755337523302065 6905707481752200 6906405027962478 9208540037283304 10359607541943717 11510675046604130 12661742551264543 13811414963504400 13812810055924956 17266012569906195 18417080074566608 20719215083887434 23021350093208260 25323485102529086 27625620111849912 28776687616510325 31078822625831151 34532025139812390 37985227653793629 41438430167774868 46042700186416520 50646970205058172 51798037709718585 55251240223699824 57553375233020650 62157645251662302 63308712756322715 69064050279624780 75970455307587258 82876860335549736 86330062849530975 92085400372833040 101293940410116344 103596075419437170 113955682961380887 115106750466041300 124315290503324604 126617425512645430 138128100559249560 151940910615174516 155394113129155755 165753720671099472 172660125699061950 189926138268968145 202587880820232688 207192150838874340 227911365922761774 230213500932082600 248630581006649208 253234851025290860 258990188548592925 276256201118499120 303881821230349032 310788226258311510 316543563781613575 341867048884142661 345320251398123900 379852276537936290 414384301677748680 455822731845523548 460427001864165200 497261162013298416 506469702050581720 517980377097185850 569778414806904435 607763642460698064 621576452516623020 633087127563227150 683734097768285322 690640502796247800 759704553075872580 776970565645778775 828768603355497360 911645463691047096 949630691344840725 1012939404101163440 1035960754194371700 1139556829613808870 1243152905033246040 1266174255126454300 1367468195536570644 1381281005592495600 1519409106151745160 1553941131291557550 1709335244420713305 1823290927382094192 1899261382689681450 2071921508388743400 2279113659227617740 2486305810066492080 2532348510252908600 2734936391073141288 2848892074034522175 3038818212303490320 3107882262583115100 3418670488841426610 3798522765379362900 4143843016777486800 4558227318455235480 5064697020505817200 5469872782146282576 5697784148069044350 6215764525166230200 6837340977682853220 7597045530758725800 8546676222103566525 9116454636910470960 11395568296138088700 12431529050332460400 13674681955365706440 15194091061517451600 17093352444207133050 22791136592276177400 27349363910731412880 34186704888414266100 45582273184552354800 68373409776828532200 136746819553657064400
- Sum of all divisors σ(n): 531018045906969075840
- Sum of proper divisors (its aliquot sum) s(n): 394271226353312011440
- 136746819553657064400 is an abundant number, because the sum of its proper divisors (394271226353312011440) is greater than itself. Its abundance is 257524406799654947040
Bases of 136746819553657064400
- Binary: 11101101001101111100100101111011110010011000010101110001011110100002
- Hexadecimal: 0x769BE4BDE4C2B8BD0
- Base-36: SUXRXW6BF9EC0
Squares and roots of 136746819553657064400
- 136746819553657064400 squared (1367468195536570644002) is 18699692658040446053692432160025747360000
- 136746819553657064400 cubed (1367468195536570644003) is 2557123497617902713416449720810736679793654151753649984000000
-
The
square root of 136746819553657064400 is 11693879576.6698856663 -
The
cube root of 136746819553657064400 is 5151959.1572494625
Scales and comparisons
How big is 136746819553657064400?- 136,746,819,553,657,064,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 136,746,819,553,657,064,400 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 136746819553657064400 cubic inches would be around 429329.9 feet tall.
Recreational maths with 136746819553657064400
- 136746819553657064400 backwards is 004460756355918647631
- 136746819553657064400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 136746819553657064400's digits is 90
- 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 136746819553657064400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 136746819553657064400 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/136746819553657064400/
Chicago style:
Numbermatics. 2024. "Number 136746819553657064400 - Facts about the integer". https://numbermatics.com/n/136746819553657064400/
The information we have on file for 136746819553657064400 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 136746819553657064400, math, Factors of 136746819553657064400, curriculum, school, college, exams, university, Prime factorization of 136746819553657064400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-six quintillion, seven hundred forty-six quadrillion, eight hundred nineteen trillion, five hundred fifty-three billion, six hundred fifty-seven million, sixty-four thousand, four hundred.