138989669613625800
138,989,669,613,625,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138989669613625800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
138989669613625800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138989669613625800:
23 × 34 × 52 × 192 × 312 × 49732
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 19 × 31 × 31 × 4973 × 4973)See below for interesting mathematical facts about the number 138989669613625800 from the Numbermatics database.
Names of 138989669613625800
- Cardinal: 138989669613625800 can be written as One hundred thirty-eight quadrillion, nine hundred eighty-nine trillion, six hundred sixty-nine billion, six hundred thirteen million, six hundred twenty-five thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389896696136258 × 1017
Factors of 138989669613625800
Divisors of 138989669613625800
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 27 30 31 36 38 40 45 50 54 57 60 62 72 75 76 81 90 93 95 100 108 114 120 124 135 150 152 155 162 171 180 186 190 200 216 225 228 248 270 279 285 300 310 324 342 360 361 372 380 405 450 456 465 475 513 540 558 570 589 600 620 648 675 684 722 744 760 775 810 837 855 900 930 950 961 1026 1080 1083 1116 1140 1178 1240 1350 1368 1395 1425 1444 1539 1550 1620 1674 1710 1767 1800 1805 1860 1900 1922 2025 2052 2166 2232 2280 2325 2356 2511 2565 2700 2790 2850 2883 2888 2945 3078 3100 3240 3249 3348 3420 3534 3610 3720 3800 3844 4050 4104 4185 4275 4332 4650 4712 4805 4973 5022 5130 5301 5400 5415 5580 5700 5766 5890 6156 6200 6498 6696 6840 6975 7068 7220 7688 7695 8100 8370 8550 8649 8664 8835 9025 9300 9610 9747 9946 10044 10260 10602 10830 11160 11191 11400 11532 11780 12312 12555 12825 12996 13950 14136 14415 14440 14725 14919 15390 15903 16200 16245 16740 17100 17298 17670 18050 18259 18600 19220 19494 19892 20088 20520 20925 21204 21660 22382 23064 23560 24025 24865 25110 25650 25947 25992 26505 27075 27900 28830 29241 29450 29838 30780 31806 32490 33480 33573 34200 34596 35340 36100 36518 38440 38475 38988 39784 41850 42408 43245 43320 44175 44757 44764 47709 48050 48735 49730 50220 51300 51894 53010 54150 54777 55800 55955 57660 58482 58900 59676 61560 62775 63612 64980 67146 69192 70680 72075 72200 73036 74595 76950 77841 77976 79515 81225 83700 86490 88350 89514 89528 91295 94487 95418 96100 97470 99460 100440 100719 102600 103788 106020 108300 109554 111910 115320 116964 117800 119352 124325 125550 127224 129735 129960 132525 134271 134292 144150 146072 146205 149190 153900 154163 155682 159030 162450 164331 167400 167865 172980 176700 179028 182590 188974 190836 192200 194940 198920 201438 207576 212040 216225 216600 219108 223785 223820 233928 238545 243675 248650 251100 259470 265050 268542 268584 273885 279775 283461 288300 292410 298380 302157 307800 308326 311364 318060 324900 328662 335730 345960 346921 353400 358056 365180 372975 377948 381672 389205 389880 397575 402813 402876 432450 438216 447570 447640 456475 462489 472435 477090 487350 492993 497300 502200 503595 518940 530100 537084 547770 559550 566922 576600 584820 596760 604314 616652 622728 636120 648675 649800 657324 671355 671460 693842 730360 731025 745950 755896 770815 778410 795150 805626 805752 821655 839325 850383 864900 895140 906471 912950 924978 944870 954180 974700 985986 994600 1007190 1037880 1040763 1060200 1074168 1095540 1118925 1119100 1133844 1169640 1192725 1208628 1233304 1297350 1314648 1342710 1342920 1369425 1387467 1387684 1417305 1462050 1478979 1491900 1510785 1541630 1556820 1590300 1611252 1643310 1678650 1700766 1729800 1734605 1790280 1795253 1812942 1825900 1849956 1889740 1908360 1946025 1949400 1971972 2014065 2014380 2081526 2191080 2237850 2238200 2267688 2312445 2362175 2385450 2417256 2464965 2517975 2551149 2594700 2685420 2738850 2774934 2775368 2834610 2924100 2929097 2957958 2983800 3021570 3083260 3113640 3122289 3180600 3222504 3286620 3356775 3357300 3401532 3469210 3590506 3625884 3651800 3699912 3779480 3854075 3892050 3943944 4028130 4028760 4108275 4162401 4163052 4251915 4475700 4532355 4624890 4724350 4770900 4779053 4929930 5035950 5102298 5189400 5203815 5370840 5385759 5477700 5549868 5669220 5848200 5858194 5915916 6043140 6166520 6244578 6573240 6713550 6714600 6803064 6937335 6938420 7086525 7181012 7251768 7394895 7553925 7653447 7708150 7784100 8056260 8216550 8324802 8326104 8503830 8673025 8787291 8951400 8976265 9064710 9249780 9366867 9448700 9541800 9558106 9859860 10070325 10071900 10204596 10407630 10771518 10955400 11099736 11338440 11562225 11716388 11831832 12086280 12324825 12487203 12489156 12755745 13427100 13874670 13876840 14173050 14337159 14362024 14645485 14789790 15107850 15306894 15416300 15568200 15611445 16112520 16157277 16433100 16649604 17007660 17346050 17574582 17952530 18129420 18499560 18733734 18897400 19116212 19719720 20140650 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6773375712165 6919039705975 6987214438650 7129869170700 7231512466890 7472562882453 7612118386200 7700258704356 7865855665740 8035013852100 8128050854598 8302847647170 8555843004840 8579609235409 8739839628600 9031167616220 9316285918200 9439026798888 9625323380445 9642016622520 9832319582175 9963417176604 10694803756050 10837401139464 11070463529560 11288959520275 11798783498610 12052520778150 12192076281897 12419772103800 12454271470755 12833764507260 13109759442900 13546751424330 13838079411950 13974428877300 14259738341400 14463024933780 14945125764906 15400517408712 15731711331480 16042205634075 16070027704200 16256101709196 16605695294340 17159218470818 18062335232440 18078781167225 19250646760890 19664639164350 19926834353208 20320127136495 20757119117925 21389607512100 22417688647359 22577919040550 23597566997220 24105041556300 24384152563794 24908542941510 25667529014520 25738827706227 26219518885800 27093502848660 27676158823900 27948857754600 28926049867560 29496958746525 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192506467608900 203201271364950 205910621649816 214490230885225 224176886473590 231649449356043 235975669972200 243841525637940 249085429415100 257388277062270 270935028486600 292609830765528 298902515298120 304801907047425 308865932474724 343184369416360 365762288456910 373628144122650 385012935217800 386082415593405 406402542729900 428980461770450 448353772947180 463298898712086 487683051275880 498170858830200 514776554124540 560442216183975 609603814094850 617731864949448 643470692655675 694948348068129 731524576913820 747256288245300 772164831186810 812805085459800 857960923540900 896707545894360 914405721142275 926597797424172 1029553108249080 1120884432367950 1158247246780215 1219207628189700 1286941385311350 1389896696136258 1463049153827640 1494512576490600 1544329662373620 1715921847081800 1828811442284550 1853195594848344 1930412077967025 2241768864735900 2316494493560430 2438415256379400 2573882770622700 2779793392272516 3088659324747240 3474741740340645 3657622884569100 3860824155934050 4483537729471800 4632988987120860 5147765541245400 5559586784545032 5791236233901075 6949483480681290 7315245769138200 7721648311868100 9265977974241720 11582472467802150 13898966961362580 15443296623736200 17373708701703225 23164944935604300 27797933922725160 34747417403406450 46329889871208600 69494834806812900 138989669613625800
- Sum of all divisors σ(n): 526546590665165235
- Sum of proper divisors (its aliquot sum) s(n): 387556921051539435
- 138989669613625800 is an abundant number, because the sum of its proper divisors (387556921051539435) is greater than itself. Its abundance is 248567251437913635
Bases of 138989669613625800
- Binary: 1111011011100101001011110001111001100010011100001110010002
- Hexadecimal: 0x1EDCA5E3CC4E1C8
- Base-36: 120JQ4QX10I0
Squares and roots of 138989669613625800
- 138989669613625800 squared (1389896696136258002) is 19318128259304855040257022425640000
- 138989669613625800 cubed (1389896696136258003) is 2685020264314429879756854339827028304711285512000000
-
The
square root of 138989669613625800 is 372813183.2615711029 -
The
cube root of 138989669613625800 is 517997.3136983793
Scales and comparisons
How big is 138989669613625800?- 138,989,669,613,625,800 seconds is equal to 4,419,441,570 years, 22 weeks, 5 days, 4 hours, 30 minutes.
-
To count from 1 to 138,989,669,613,625,800 would take you about thirteen billion, two hundred fifty-eight million, three hundred twenty-four thousand, seven hundred eleven 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 138989669613625800 cubic inches would be around 43166.4 feet tall.
Recreational maths with 138989669613625800
- 138989669613625800 backwards is 008526316966989831
- 138989669613625800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138989669613625800's digits is 90
- More coming soon!
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"Number 138989669613625800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138989669613625800 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138989669613625800/
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Numbermatics. 2024. "Number 138989669613625800 - Facts about the integer". https://numbermatics.com/n/138989669613625800/
The information we have on file for 138989669613625800 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!
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