13848921532006400
13,848,921,532,006,400 is an even composite number composed of five prime numbers multiplied together.
13848921532006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 13848921532006400:
220 × 52 × 75 × 17 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 17 × 43 × 43)See below for interesting mathematical facts about the number 13848921532006400 from the Numbermatics database.
Names of 13848921532006400
- Cardinal: 13848921532006400 can be written as Thirteen quadrillion, eight hundred forty-eight trillion, nine hundred twenty-one billion, five hundred thirty-two million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.38489215320064 × 1016
Factors of 13848921532006400
Divisors of 13848921532006400
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 43 49 50 56 64 68 70 80 85 86 98 100 112 119 128 136 140 160 170 172 175 196 200 215 224 238 245 256 272 280 301 320 340 343 344 350 392 400 425 430 448 476 490 512 544 560 595 602 640 680 686 688 700 731 784 800 833 850 860 896 952 980 1024 1075 1088 1120 1190 1204 1225 1280 1360 1372 1376 1400 1462 1505 1568 1600 1666 1700 1715 1720 1792 1849 1904 1960 2048 2107 2150 2176 2240 2380 2401 2408 2450 2560 2720 2744 2752 2800 2924 2975 3010 3136 3200 3332 3400 3430 3440 3584 3655 3698 3808 3920 4096 4165 4214 4300 4352 4480 4760 4802 4816 4900 5117 5120 5440 5488 5504 5600 5831 5848 5950 6020 6272 6400 6664 6800 6860 6880 7168 7310 7396 7525 7616 7840 8192 8330 8428 8575 8600 8704 8960 9245 9520 9604 9632 9800 10234 10240 10535 10880 10976 11008 11200 11662 11696 11900 12005 12040 12544 12800 12943 13328 13600 13720 13760 14336 14620 14749 14792 15050 15232 15680 16384 16660 16807 16856 17150 17200 17408 17920 18275 18490 19040 19208 19264 19600 20468 20480 20825 21070 21760 21952 22016 22400 23324 23392 23800 24010 24080 25088 25585 25600 25886 26656 27200 27440 27520 28672 29155 29240 29498 29584 30100 30464 31360 31433 32768 33320 33614 33712 34300 34400 34816 35819 35840 36550 36980 38080 38416 38528 39200 40817 40936 40960 41650 42140 43520 43904 44032 44800 46225 46648 46784 47600 48020 48160 50176 51170 51200 51772 52675 53312 54400 54880 55040 57344 58310 58480 58996 59168 60025 60200 60928 62720 62866 64715 65536 66640 67228 67424 68600 68800 69632 71638 71680 73100 73745 73960 76160 76832 77056 78400 81634 81872 81920 83300 84035 84280 87040 87808 88064 89600 90601 92450 93296 93568 95200 96040 96320 100352 102340 102400 103243 103544 105350 106624 108800 109760 110080 114688 116620 116960 117992 118336 120050 120400 121856 125440 125732 127925 129430 131072 133280 134456 134848 137200 137600 139264 143276 143360 145775 146200 147490 147920 152320 153664 154112 156800 157165 163268 163744 163840 166600 168070 168560 174080 175616 176128 179095 179200 181202 184900 186592 187136 190400 192080 192640 200704 204085 204680 204800 206486 207088 210700 213248 217600 219520 220031 220160 229376 233240 233920 235984 236672 240100 240800 243712 250733 250880 251464 255850 258860 262144 266560 268912 269696 274400 275200 278528 285719 286552 286720 291550 292400 294980 295840 304640 307328 308224 313600 314330 323575 326536 327488 327680 333200 336140 337120 348160 351232 352256 358190 358400 362404 368725 369800 373184 374272 380800 384160 385280 401408 408170 409360 409600 412972 414176 420175 421400 426496 435200 439040 440062 440320 453005 458752 466480 467840 471968 473344 480200 481600 487424 501466 501760 502928 511700 516215 517720 524288 533120 537824 539392 548800 550400 557056 571438 573104 573440 583100 584800 589960 591680 609280 614656 616448 627200 628660 634207 647150 653072 654976 655360 666400 672280 674240 696320 702464 704512 716380 716800 722701 724808 737450 739600 746368 748544 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338306662400 339292979200 353288814592 359450828800 360498790400 363679662080 374497607680 378903461888 386409640960 386636185600 397774630400 402584928256 403758645248 410800947200 411998617600 415633899520 422635544800 440585420800 441611018240 454599577600 460097060864 468122009600 469486796800 473629327360 475010170880 483012051200 503231160320 504698306560 509151526912 519542374400 534996582400 540973497344 541290659840 552013772800 575121326080 576798064640 581887459328 592036659200 593762713600 618255425536 629038950400 630872883200 636439408640 657281515520 665014239232 676216871680 676613324800 706577629184 718901657600 720997580800 727359324160 748995215360 757806923776 772819281920 795549260800 805169856512 807517290496 821601894400 823997235200 831267799040 845271089600 883222036480 909199155200 920194121728 936244019200 938973593600 947258654720 966024102400 1006462320640 1009396613120 1018303053824 1039084748800 1069993164800 1081946994688 1104027545600 1150242652160 1153596129280 1163774918656 1184073318400 1187525427200 1236510851072 1258077900800 1261745766400 1272878817280 1314563031040 1352433743360 1353226649600 1413155258368 1437803315200 1441995161600 1454718648320 1497990430720 1545638563840 1591098521600 1610339713024 1615034580992 1643203788800 1662535598080 1690542179200 1766444072960 1818398310400 1840388243456 1872488038400 1894517309440 1932048204800 2012924641280 2018793226240 2036606107648 2078169497600 2163893989376 2208055091200 2300485304320 2327549837312 2368146636800 2375050854400 2473021702144 2516155801600 2523491532800 2545757634560 2704867486720 2706453299200 2826310516736 2875606630400 2883990323200 2909437296640 3091277127680 3182197043200 3220679426048 3286407577600 3325071196160 3381084358400 3532888145920 3636796620800 3744976076800 3789034618880 3864096409600 4025849282560 4037586452480 4073212215296 4156338995200 4327787978752 4416110182400 4600970608640 4655099674624 4736293273600 4946043404288 5032311603200 5046983065600 5091515269120 5409734973440 5652621033472 5751213260800 5767980646400 5818874593280 6182554255360 6364394086400 6441358852096 6572815155200 6762168716800 7065776291840 7273593241600 7489952153600 7728192819200 8051698565120 8075172904960 8146424430592 8312677990400 8655575957504 8832220364800 9201941217280 9472586547200 9892086808576 10064623206400 10093966131200 10183030538240 10819469946880 11305242066944 11502426521600 11637749186560 12365108510720 12728788172800 12882717704192 13524337433600 14131552583680 14547186483200 15456385638400 16103397130240 16292848861184 16625355980800 17311151915008 17664440729600 18945173094400 19784173617152 20129246412800 20187932262400 20366061076480 21638939893760 23004853043200 23275498373120 24730217021440 25457576345600 27048674867200 28263105167360 29094372966400 30912771276800 32206794260480 32585697722368 34622303830016 35328881459200 39568347234304 40258492825600 40375864524800 40732122152960 43277879787520 46009706086400 49460434042880 50915152691200 54097349734400 56526210334720 58188745932800 61825542553600 64413588520960 69244607660032 70657762918400 79136694468608 80516985651200 81464244305920 86555759575040 98920868085760 101830305382400 108194699468800 116377491865600 123651085107200 138489215320064 141315525836800 161033971302400 162928488611840 173111519150080 197841736171520 203660610764800 216389398937600 247302170214400 276978430640128 282631051673600 322067942604800 346223038300160 395683472343040 407321221529600 432778797875200 494604340428800 553956861280256 692446076600320 814642443059200 865557595750400 989208680857600 1384892153200640 1731115191500800 1978417361715200 2769784306401280 3462230383001600 6924460766003200 13848921532006400
- Sum of all divisors σ(n): 43435798824669552
- Sum of proper divisors (its aliquot sum) s(n): 29586877292663152
- 13848921532006400 is an abundant number, because the sum of its proper divisors (29586877292663152) is greater than itself. Its abundance is 15737955760656752
Bases of 13848921532006400
- Binary: 1100010011001110000101010100000111000000000000000000002
- Hexadecimal: 0x31338550700000
- Base-36: 3SD16PZLK3K
Squares and roots of 13848921532006400
- 13848921532006400 squared (138489215320064002) is 191792627599670493219609640960000
- 13848921532006400 cubed (138489215320064003) is 2656121050045161642470749852482338652422144000000
-
The
square root of 13848921532006400 is 117681440.8987517455 -
The
cube root of 13848921532006400 is 240144.1352490371
Scales and comparisons
How big is 13848921532006400?- 13,848,921,532,006,400 seconds is equal to 440,352,867 years, 9 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,848,921,532,006,400 would take you about one billion, three hundred twenty-one million, fifty-eight thousand, six hundred one 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 13848921532006400 cubic inches would be around 20012 feet tall.
Recreational maths with 13848921532006400
- 13848921532006400 backwards is 00460023512984831
- 13848921532006400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13848921532006400's digits is 56
- More coming soon!
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Cite this page
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"Number 13848921532006400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 13848921532006400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13848921532006400/
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The information we have on file for 13848921532006400 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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