13013938367312691200
13,013,938,367,312,691,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 13013938367312691200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1944 divisors.
13013938367312691200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13013938367312691200:
223 × 52 × 72 × 192 × 18732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 19 × 19 × 1873 × 1873)See below for interesting mathematical facts about the number 13013938367312691200 from the Numbermatics database.
Names of 13013938367312691200
- Cardinal: 13013938367312691200 can be written as Thirteen quintillion, thirteen quadrillion, nine hundred thirty-eight trillion, three hundred sixty-seven billion, three hundred twelve million, six hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.30139383673126912 × 1019
Factors of 13013938367312691200
Divisors of 13013938367312691200
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 112 128 133 140 152 160 175 190 196 200 224 245 256 266 280 304 320 350 361 380 392 400 448 475 490 512 532 560 608 640 665 700 722 760 784 800 896 931 950 980 1024 1064 1120 1216 1225 1280 1330 1400 1444 1520 1568 1600 1792 1805 1862 1873 1900 1960 2048 2128 2240 2432 2450 2527 2560 2660 2800 2888 3040 3136 3200 3325 3584 3610 3724 3746 3800 3920 4096 4256 4480 4655 4864 4900 5054 5120 5320 5600 5776 6080 6272 6400 6650 7168 7220 7448 7492 7600 7840 8192 8512 8960 9025 9310 9365 9728 9800 10108 10240 10640 11200 11552 12160 12544 12635 12800 13111 13300 14336 14440 14896 14984 15200 15680 16384 17024 17689 17920 18050 18620 18730 19456 19600 20216 20480 21280 22400 23104 23275 24320 25088 25270 25600 26222 26600 28672 28880 29792 29968 30400 31360 32768 34048 35378 35587 35840 36100 37240 37460 38912 39200 40432 40960 42560 44800 46208 46550 46825 48640 50176 50540 51200 52444 53200 57344 57760 59584 59936 60800 62720 63175 65536 65555 68096 70756 71174 71680 72200 74480 74920 77824 78400 80864 81920 85120 88445 89600 91777 92416 93100 93650 97280 100352 101080 102400 104888 106400 114688 115520 119168 119872 121600 125440 126350 131072 131110 136192 141512 142348 143360 144400 148960 149840 155648 156800 161728 163840 170240 176890 177935 179200 183554 184832 186200 187300 194560 200704 202160 204800 209776 212800 229376 231040 238336 239744 243200 249109 250880 252700 262144 262220 272384 283024 284696 286720 288800 297920 299680 311296 313600 323456 327680 327775 340480 353780 355870 358400 367108 369664 372400 374600 389120 401408 404320 409600 419552 425600 442225 458752 458885 462080 476672 479488 486400 498218 501760 505400 524288 524440 544768 566048 569392 573440 577600 595840 599360 622592 627200 646912 655360 655550 676153 680960 707560 711740 716800 734216 739328 744800 749200 778240 802816 808640 819200 839104 851200 884450 889675 917504 917770 924160 953344 958976 972800 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214045038936064 217130578739200 218413305036800 225310567301120 226945074764800 244622901641216 248149232844800 254178483736576 257497791201280 259365799731200 267556298670080 277927140786176 279569030447104 281638209126400 290489695698944 305778627051520 317723104670720 321872239001600 331988223655936 334445373337600 347408925982720 349461288058880 360496907681792 363112119623680 365693606297600 367853987430400 382223283814400 397153880838400 414985279569920 428090077872128 434261157478400 436826610073600 450621134602240 453890149529600 489245803282432 496298465689600 508356967473152 514995582402560 518731599462400 535112597340160 559138060894208 563276418252800 580979391397888 611557254103040 635446209341440 643744478003200 663976447311872 668890746675200 694817851965440 698922576117760 720993815363584 726224239247360 735707974860800 764446567628800 794307761676800 829970559139840 856180155744256 868522314956800 873653220147200 901242269204480 907780299059200 978491606564864 992596931379200 1016713934946304 1029991164805120 1037463198924800 1070225194680320 1126552836505600 1161958782795776 1223114508206080 1270892418682880 1287488956006400 1327952894623744 1337781493350400 1389635703930880 1397845152235520 1441987630727168 1452448478494720 1528893135257600 1588615523353600 1659941118279680 1712360311488512 1737044629913600 1747306440294400 1802484538408960 1815560598118400 1956983213129728 2033427869892608 2074926397849600 2140450389360640 2253105673011200 2323917565591552 2446229016412160 2541784837365760 2574977912012800 2655905789247488 2675562986700800 2795690304471040 2904896956989440 3057786270515200 3177231046707200 3319882236559360 3424720622977024 3474089259827200 3494612880588800 3604969076817920 3631121196236800 3913966426259456 4066855739785216 4149852795699200 4280900778721280 4506211346022400 4647835131183104 4892458032824320 5083569674731520 5149955824025600 5311811578494976 5351125973401600 5809793913978880 6115572541030400 6354462093414400 6639764473118720 6849441245954048 6948178519654400 6989225761177600 7209938153635840 7262242392473600 8133711479570432 8299705591398400 8561801557442560 9012422692044800 9295670262366208 9784916065648640 10167139349463040 10623623156989952 10702251946803200 11619587827957760 12231145082060800 12708924186828800 13279528946237440 13698882491908096 13978451522355200 14524484784947200 16267422959140864 16599411182796800 17123603114885120 18024845384089600 18591340524732416 19569832131297280 20334278698926080 21404503893606400 23239175655915520 24462290164121600 25417848373657600 26559057892474880 27397764983816192 29048969569894400 32534845918281728 33198822365593600 34247206229770240 36049690768179200 37182681049464832 40668557397852160 42809007787212800 46478351311831040 48924580328243200 50835696747315200 53118115784949760 58097939139788800 65069691836563456 66397644731187200 68494412459540480 74365362098929664 81337114795704320 85618015574425600 92956702623662080 97849160656486400 101671393494630400 116195878279577600 130139383673126912 132795289462374400 136988824919080960 162674229591408640 171236031148851200 185913405247324160 203342786989260800 232391756559155200 260278767346253824 265590578924748800 325348459182817280 342472062297702400 371826810494648320 406685573978521600 464783513118310400 520557534692507648 650696918365634560 684944124595404800 813371147957043200 929567026236620800 1301393836731269120 1626742295914086400 1859134052473241600 2602787673462538240 3253484591828172800 6506969183656345600 13013938367312691200
- Sum of all divisors σ(n): 39645042055667918415
- Sum of proper divisors (its aliquot sum) s(n): 26631103688355227215
- 13013938367312691200 is an abundant number, because the sum of its proper divisors (26631103688355227215) is greater than itself. Its abundance is 13617165321042536015
Bases of 13013938367312691200
- Binary: 10110100100110101100101111111110100010001000000000000000000000002
- Hexadecimal: 0xB49ACBFE88800000
- Base-36: 2QVGG4VIMNG8W
Squares and roots of 13013938367312691200
- 13013938367312691200 squared (130139383673126912002) is 169362591828213314698504316586557440000
- 13013938367312691200 cubed (130139383673126912003) is 2204074331780704121288984578369967297823931029782528000000
-
The
square root of 13013938367312691200 is 3607483661.4062011855 -
The
cube root of 13013938367312691200 is 2352174.7405509095
Scales and comparisons
How big is 13013938367312691200?- 13,013,938,367,312,691,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,013,938,367,312,691,200 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 13013938367312691200 cubic inches would be around 196014.6 feet tall.
Recreational maths with 13013938367312691200
- 13013938367312691200 backwards is 00219621376383931031
- The number of decimal digits it has is: 20
- The sum of 13013938367312691200's digits is 68
- More coming soon!
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"Number 13013938367312691200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13013938367312691200 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13013938367312691200/
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The information we have on file for 13013938367312691200 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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