13714640432428800
13,714,640,432,428,800 is an even composite number composed of seven prime numbers multiplied together.
13714640432428800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13714640432428800:
28 × 3 × 52 × 31 × 73 × 571 × 552793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 73 × 571 × 552793)See below for interesting mathematical facts about the number 13714640432428800 from the Numbermatics database.
Names of 13714640432428800
- Cardinal: 13714640432428800 can be written as Thirteen quadrillion, seven hundred fourteen trillion, six hundred forty billion, four hundred thirty-two million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37146404324288 × 1016
Factors of 13714640432428800
Divisors of 13714640432428800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 73 75 80 93 96 100 120 124 128 146 150 155 160 186 192 200 219 240 248 256 292 300 310 320 365 372 384 400 438 465 480 496 571 584 600 620 640 730 744 768 775 800 876 930 960 992 1095 1142 1168 1200 1240 1280 1460 1488 1550 1600 1713 1752 1825 1860 1920 1984 2190 2263 2284 2325 2336 2400 2480 2855 2920 2976 3100 3200 3426 3504 3650 3720 3840 3968 4380 4526 4568 4650 4672 4800 4960 5475 5710 5840 5952 6200 6400 6789 6852 7008 7300 7440 7936 8565 8760 9052 9136 9300 9344 9600 9920 10950 11315 11420 11680 11904 12400 13578 13704 14016 14275 14600 14880 17130 17520 17701 18104 18272 18600 18688 19200 19840 21900 22630 22840 23360 23808 24800 27156 27408 28032 28550 29200 29760 33945 34260 35040 35402 36208 36544 37200 39680 41683 42825 43800 45260 45680 46720 49600 53103 54312 54816 56064 56575 57100 58400 59520 67890 68520 70080 70804 72416 73088 74400 83366 85650 87600 88505 90520 91360 93440 99200 106206 108624 109632 113150 114200 116800 119040 125049 135780 137040 140160 141608 144832 146176 148800 166732 169725 171300 175200 177010 181040 182720 198400 208415 212412 217248 219264 226300 228400 233600 250098 265515 271560 274080 280320 283216 289664 297600 333464 339450 342600 350400 354020 362080 365440 416830 424824 434496 438528 442525 452600 456800 467200 500196 531030 543120 548160 552793 566432 579328 595200 625245 666928 678900 685200 700800 708040 724160 730880 833660 849648 868992 885050 905200 913600 1000392 1042075 1062060 1086240 1096320 1105586 1132864 1250490 1292173 1327575 1333856 1357800 1370400 1401600 1416080 1448320 1658379 1667320 1699296 1737984 1770100 1810400 1827200 2000784 2084150 2124120 2172480 2192640 2211172 2265728 2500980 2584346 2655150 2667712 2715600 2740800 2763965 2832160 2896640 3126225 3316758 3334640 3398592 3540200 3620800 3654400 3876519 4001568 4168300 4248240 4344960 4422344 4531456 5001960 5168692 5310300 5335424 5431200 5481600 5527930 5664320 6252450 6460865 6633516 6669280 6797184 7080400 7241600 7753038 8003136 8291895 8336600 8496480 8689920 8844688 10003920 10337384 10620600 10670848 10862400 10963200 11055860 11328640 12504900 12921730 13267032 13338560 13594368 13819825 14160800 14483200 15506076 16006272 16583790 16673200 16992960 17136583 17689376 19382595 20007840 20674768 21241200 21724800 22111720 22657280 25009800 25843460 26534064 26677120 27639650 28321600 31012152 32012544 32304325 33167580 33346400 33985920 34273166 35378752 38765190 40015680 40353889 41349536 41459475 42482400 43449600 44223440 50019600 51409749 51686920 53068128 53354240 55279300 56643200 62024304 64608650 66335160 66692800 67971840 68546332 70757504 77530380 80031360 80707778 82699072 82918950 84964800 85682915 88446880 96912975 100039200 102819498 103373840 106136256 110558600 113286400 121061667 124048608 129217300 132670320 133385600 137092664 141515008 155060760 160062720 161415556 165398144 165837900 169929600 171365830 176893760 193825950 200078400 201769445 205638996 206747680 212272512 221117200 242123334 248097216 257048745 258434600 265340640 266771200 274185328 310121520 315644803 322831112 330796288 331675800 339859200 342731660 353787520 387651900 400156800 403538890 411277992 413495360 424545024 428414575 442234400 484246668 496194432 514097490 516869200 530681280 548370656 605308335 620243040 631289606 645662224 663351600 685463320 707575040 775303800 800313600 807077780 822555984 826990720 856829150 884468800 946934409 968493336 992388864 1008847225 1028194980 1033738400 1061362560 1096741312 1210616670 1240486080 1250970559 1262579212 1285243725 1291324448 1326703200 1370926640 1550607600 1578224015 1614155560 1645111968 1653981440 1713658300 1768937600 1893868818 1936986672 2017694450 2056389960 2067476800 2122725120 2193482624 2421233340 2480972160 2501941118 2525158424 2570487450 2582648896 2653406400 2741853280 3026541675 3101215200 3156448030 3228311120 3290223936 3427316600 3537875200 3752911677 3787737636 3873973344 4035388900 4112779920 4134953600 4386965248 4734672045 4842466680 4961944320 5003882236 5050316848 5140974900 5165297792 5306812800 5483706560 6053083350 6202430400 6254852795 6312896060 6456622240 6580447872 6854633200 7505823354 7575475272 7747946688 7891120075 8070777800 8225559840 8269907200 9469344090 9684933360 9784988893 10007764472 10100633696 10281949800 10330595584 10613625600 10967413120 12106166700 12404860800 12509705590 12625792120 12913244480 13160895744 13709266400 15011646708 15150950544 15495893376 15782240150 16141555600 16451119680 18764558385 18938688180 19369866720 19569977786 20015528944 20201267392 20563899600 21934826240 23042070619 23673360225 24212333400 24809721600 25019411180 25251584240 25826488960 27418532800 29354966679 30023293416 30301901088 30991786752 31274263975 31564480300 32283111200 32902239360 37529116770 37877376360 38739733440 39139955572 40031057888 40402534784 41127799200 46084141238 47346720450 48424666800 48924944465 50038822360 50503168480 51652977920 54837065600 58709933358 60046586832 60603802176 62548527950 63128960600 64566222400 65804478720 69126211857 75058233540 75754752720 77479466880 78279911144 80062115776 80805069568 82255598400 92168282476 93822791925 94693440900 96849333600 97849888930 100077644720 101006336960 109674131200 115210353095 117419866716 120093173664 121207604352 125097055900 126257921200 129132444800 138252423714 146774833395 150116467080 151509505440 154958933760 156559822288 160124231552 164511196800 184336564952 187645583850 189386881800 193698667200 195699777860 200155289440 202012673920 230420706190 234839733432 240186347328 242415208704 244624722325 250194111800 252515842400 258264889600 276504847428 293549666790 300232934160 303019010880 313119644576 320248463104 329022393600 345631059285 368673129904 375291167700 378773763600 387397334400 391399555720 400310578880 404025347840 460841412380 469679466864 480372694656 489249444650 500388223600 505031684800 553009694856 576051765475 587099333580 600465868320 606038021760 626239289152 691262118570 714304189189 733874166975 737346259808 750582335400 757547527200 774794668800 782799111440 800621157760 921682824760 939358933728 960745389312 978498889300 1000776447200 1010063369600 1106019389712 1152103530950 1174198667160 1200931736640 1212076043520 1252478578304 1382524237140 1428608378378 1467748333950 1474692519616 1501164670800 1515095054400 1565598222880 1601242315520 1728155296425 1843365649520 1878717867456 1956997778600 2001552894400 2020126739200 2142912567567 2212038779424 2304207061900 2348397334320 2401863473280 2504957156608 2765048474280 2857216756756 2935496667900 2949385039232 3002329341600 3030190108800 3131196445760 3456310592850 3571520945945 3686731299040 3757435734912 3913995557200 4003105788800 4285825135134 4424077558848 4608414123800 4696794668640 4803726946560 5530096948560 5714433513512 5870993335800 5898770078464 6004658683200 6060380217600 6262392891520 6912621185700 7143041891890 7373462598080 7514871469824 7827991114400 8006211577600 8571650270268 8848155117696 9216828247600 9393589337280 10714562837835 11060193897120 11428867027024 11741986671600 12009317366400 12524785783040 13825242371400 14286083783780 14746925196160 15655982228800 17143300540536 17696310235392 17857604729725 18433656495200 18787178674560 21429125675670 22120387794240 22857734054048 23483973343200 24018634732800 27650484742800 28572167567560 29493850392320 31311964457600 34286601081072 35715209459450 36867312990400 37574357349120 42858251351340 44240775588480 45715468108096 46967946686400 53572814189175 55300969485600 57144335135120 62623928915200 68573202162144 71430418918900 73734625980800 85716502702680 88481551176960 91430936216192 93935893372800 107145628378350 110601938971200 114288670270240 137146404324288 142860837837800 147469251961600 171433005405360 182861872432384 187871786745600 214291256756700 221203877942400 228577340540480 274292808648576 285721675675600 342866010810720 428582513513400 442407755884800 457154681080960 548585617297152 571443351351200 685732021621440 857165027026800 914309362161920 1142886702702400 1371464043242880 1714330054053600 2285773405404800 2742928086485760 3428660108107200 4571546810809600 6857320216214400 13714640432428800
- Sum of all divisors σ(n): 47444255138215936
- Sum of proper divisors (its aliquot sum) s(n): 33729614705787136
- 13714640432428800 is an abundant number, because the sum of its proper divisors (33729614705787136) is greater than itself. Its abundance is 20014974273358336
Bases of 13714640432428800
- Binary: 1100001011100101100100100011110011001001110111000000002
- Hexadecimal: 0x30B9648F327700
- Base-36: 3R1FMU3Y1HC
Squares and roots of 13714640432428800
- 13714640432428800 squared (137146404324288002) is 188091362190810822258667069440000
- 13714640432428800 cubed (137146404324288003) is 2579605400892703777919300633553292037455872000000
-
The
square root of 13714640432428800 is 117109523.2354260761 -
The
cube root of 13714640432428800 is 239365.4559182147
Scales and comparisons
How big is 13714640432428800?- 13,714,640,432,428,800 seconds is equal to 436,083,143 years, 30 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 13,714,640,432,428,800 would take you about one billion, three hundred eight million, two hundred forty-nine thousand, four hundred thirty 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 13714640432428800 cubic inches would be around 19947.1 feet tall.
Recreational maths with 13714640432428800
- 13714640432428800 backwards is 00882423404641731
- The number of decimal digits it has is: 17
- The sum of 13714640432428800's digits is 57
- More coming soon!
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The information we have on file for 13714640432428800 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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