13738825325772800

Names of 13738825325772800

• Cardinal: 13738825325772800 can be written as Thirteen quadrillion, seven hundred thirty-eight trillion, eight hundred twenty-five billion, three hundred twenty-five million, seven hundred seventy-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.37388253257728 × 10¹⁶

Factors of 13738825325772800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 272

Divisors of 13738825325772800

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 61 64 80 88 100 110 121 122 128 160 176 193 200 220 242 244 256 275 305 320 352 386 400 440 484 488 512 550 605 610 640 671 704 772 800 880 965 968 976 1024 1100 1210 1220 1280 1342 1408 1525 1544 1600 1760 1930 1936 1952 2048 2123 2200 2420 2440 2560 2684 2816 3025 3050 3088 3200 3355 3520 3721 3860 3872 3904 4096 4246 4400 4825 4840 4880 5120 5368 5632 6050 6100 6176 6400 6710 7040 7381 7442 7720 7744 7808 8192 8492 8800 9650 9680 9760 10240 10615 10736 11264 11773 12100 12200 12352 12800 13420 14080 14762 14884 15440 15488 15616 16384 16775 16984 17600 18605 19300 19360 19520 20480 21230 21472 22528 23353 23546 24200 24400 24704 25600 26840 28160 29524 29768 30880 30976 31232 32768 33550 33968 35200 36905 37210 37249 38600 38720 39040 40931 40960 42460 42944 45056 46706 47092 48400 48800 49408 51200 53075 53680 56320 58865 59048 59536 61760 61952 62464 67100 67936 70400 73810 74420 74498 77200 77440 78080 81862 81920 84920 85888 90112 93025 93412 94184 96800 97600 98816 102400 106150 107360 112640 116765 117730 118096 119072 123520 123904 124928 129503 134200 135872 140800 147620 148840 148996 154400 154880 156160 163724 163840 169840 171776 180224 184525 186050 186245 186824 188368 193600 195200 197632 204655 204800 212300 214720 225280 233530 235460 236192 238144 247040 247808 249856 259006 268400 271744 281600 294325 295240 297680 297992 308800 309760 312320 327448 339680 343552 360448 369050 372100 372490 373648 376736 387200 390400 395264 409310 409600 409739 424600 429440 450241 450560 467060 470920 472384 476288 494080 495616 499712 518012 536800 543488 563200 583825 588650 590480 595360 595984 617600 619520 624640 647515 654896 679360 687104 718153 738100 744200 744980 747296 753472 774400 780800 790528 818620 819200 819478 849200 858880 900482 901120 931225 934120 941840 944768 952576 988160 991232 999424 1023275 1036024 1073600 1086976 1126400 1167650 1177300 1180960 1190720 1191968 1235200 1239040 1249280 1295030 1309792 1358720 1374208 1424533 1436306 1476200 1488400 1489960 1494592 1506944 1548800 1561600 1581056 1637240 1638956 1698400 1717760 1800964 1802240 1862450 1868240 1883680 1889536 1905152 1976320 1982464 1998848 2046550 2048695 2072048 2147200 2173952 2251205 2252800 2272189 2335300 2354600 2361920 2381440 2383936 2470400 2478080 2498560 2590060 2619584 2717440 2748416 2849066 2872612 2952400 2976800 2979920 2989184 3013888 3097600 3123200 3162112 3237575 3274480 3277912 3396800 3435520 3590765 3601928 3724900 3736480 3767360 3779072 3810304 3952640 3964928 4093100 4097390 4144096 4294400 4347904 4502410 4505600 4507129 4544378 4670600 4709200 4723840 4762880 4767872 4940800 4956160 4997120 5180120 5239168 5434880 5496832 5698132 5745224 5904800 5953600 5959840 5978368 6027776 6195200 6246400 6324224 6475150 6548960 6555824 6793600 6871040 7122665 7181530 7203856 7449800 7472960 7534720 7558144 7620608 7899683 7905280 8186200 8194780 8288192 8588800 8695808 9004820 9011200 9014258 9088756 9341200 9418400 9447680 9525760 9535744 9881600 9912320 9994240 10243475 10360240 10478336 10869760 10993664 11256025 11360945 11396264 11490448 11809600 11907200 11919680 11956736 12055552 12390400 12492800 12950300 13097920 13111648 13587200 13742080 14245330 14363060 14407712 14899600 14945920 15069440 15116288 15241216 15799366 15810560 16372400 16389560 16576384 17177600 17391616 17953825 18009640 18028516 18177512 18682400 18836800 18895360 19051520 19071488 19763200 19824640 20486950 20720480 20956672 21739520 21987328 22512050 22535645 22721890 22792528 22980896 23619200 23814400 23839360 23913472 24111104 24780800 24985600 24994079 25900600 26195840 26223296 27174400 27484160 28490660 28726120 28815424 29799200 29891840 30138880 30232576 30482432 31598732 31621120 32744800 32779120 33152768 34355200 34783232 35613325 35907650 36019280 36057032 36355024 37364800 37673600 37790720 38103040 38142976 39498415 39526400 40973900 41440960 41913344 43479040 45024100 45071290 45443780 45585056 45961792 47238400 47628800 47678720 47826944 48222208 49561600 49971200 49988158 51801200 52391680 52446592 54348800 54968320 56804725 56981320 57452240 57630848 59598400 59783680 60277760 60465152 60964864 63197464 65489600 65558240 66305536 68710400 69566464 71226650 71815300 72038560 72114064 72710048 74729600 75347200 75581440 76206080 76285952 78996830 79052800 81947800 82881920 83826688 86896513 86958080 90048200 90142580 90887560 91170112 91923584 94476800 95257600 95357440 95653888 96444416 99123200 99976316 103602400 104783360 104893184 108697600 109936640 112678225 113609450 113962640 114904480 115261696 119196800 119567360 120555520 120930304 121929728 124970395 126394928 130979200 131116480 132611072 137420800 138603529 142453300 143630600 144077120 144228128 145420096 149459200 150694400 151162880 152412160 152571904 157993660 158105600 163895600 165763840 167653376 173793026 173916160 180096400 180285160 181775120 182340224 183847168 188953600 190515200 190714880 191307776 192888832 197492075 199952632 207204800 209566720 209786368 217395200 225356450 227218900 227925280 229808960 230523392 238393600 239134720 241111040 241860608 249940790 252789856 261958400 262232960 265222144 274841600 274934869 277207058 284906600 287261200 288154240 288456256 290840192 298918400 301388800 302325760 304824320 305143808 315987320 327791200 331527680 335306752 347586052 347832320 360192800 360570320 363550240 364680448 367694336 377907200 381030400 381429760 382615552 385777664 394984150 399905264 414409600 419133440 419572736 434482565 434790400 450712900 454437800 455850560 459617920 461046784 476787200 478269440 482222080 499881580 505579712 523916800 524465920 530444288 549683200 549869738 554414116 569813200 574522400 576308480 576912512 581680384 597836800 602777600 604651520 609648640 610287616 624851975 631974640 655582400 663055360 670613504 693017645 695172104 720385600 721140640 727100480 729360896 735388672 755814400 762060800 762859520 765231104 789968300 799810528 828819200 838266880 839145472 868965130 869580800 901425800 908875600 911701120 919235840 922093568 953574400 956538880 964444160 999763160 1011159424 1047833600 1048931840 1060888576 1099739476 1108828232 1139626400 1149044800 1152616960 1153825024 1163360768 1195673600 1205555200 1209303040 1220575232 1249703950 1263949280 1311164800 1326110720 1341227008 1374674345 1386035290 1390344208 1440771200 1442281280 1454200960 1458721792 1470777344 1511628800 1524121600 1524638819 1525719040 1579936600 1599621056 1657638400 1676533760 1678290944 1737930260 1739161600 1802851600 1817751200 1823402240 1838471680 1844187136 1907148800 1913077760 1928888320 1999526320 2022318848 2095667200 2097863680 2121777152 2172412825 2199478952 2217656464 2279252800 2298089600 2305233920 2307650048 2326721536 2391347200 2411110400 2499407900 2527898560 2622329600 2652221440 2749348690 2772070580 2780688416 2881542400 2884562560 2908401920 2917443584 2941554688 3023257600 3048243200 3049277638 3051438080 3159873200 3199242112 3315276800 3353067520 3356581888 3465088225 3475860520 3605703200 3635502400 3646804480 3676943360 3688374272 3814297600 3826155520 3999052640 4044637696 4191334400 4195727360 4243554304 4344825650 4398957904 4435312928 4558505600 4596179200 4610467840 4615300096 4653443072 4782694400 4822220800 4998815800 5055797120 5244659200 5304442880 5498697380 5544141160 5561376832 5763084800 5769125120 5816803840 5834887168 5883109376 6046515200 6098555276 6102876160 6319746400 6398484224 6630553600 6706135040 6713163776 6873371725 6930176450 6951721040 7211406400 7271004800 7293608960 7353886720 7376748544 7623194095 7628595200 7998105280 8089275392 8382668800 8391454720 8689651300 8797915808 8870625856 9117011200 9192358400 9220935680 9230600192 9306886144 9565388800 9644441600 9997631600 10111594240 10489318400 10608885760 10997394760 11088282320 11122753664 11526169600 11538250240 11633607680 11669774336 11766218752 12197110552 12639492800 12796968448 13261107200 13426327552 13746743450 13860352900 13903442080 14422812800 14542009600 14587217920 14707773440 14753497088 15246388190 15257190400 15996210560 16178550784 16765337600 16771027009 16782909440 17379302600 17595831616 17741251712 18234022400 18384716800 18441871360 18461200384 18613772288 19130777600 19995263200 20223188480 20978636800 21217771520 21994789520 22176564640 22245507328 23052339200 23076500480 23267215360 23339548672 23532437504 24394221104 25278985600 25593936896 26522214400 27493486900 27720705800 27806884160 28845625600 29084019200 29174435840 29415546880 30492776380 30514380800 31992421120 32357101568 33530675200 33542054018 33565818880 34758605200 35191663232 35482503424 36468044800 36769433600 36883742720 36922400768 37227544576 38115970475 39990526400 40446376960 41957273600 43989579040 44353129280 44491014656 46104678400 46153000960 46534430720 46679097344 48788442208 50557971200 51187873792 53044428800 54986973800 55441411600 55613768320 57691251200 58168038400 58348871680 58831093760 60985552760 63984842240 64714203136 67084108036 67131637760 69517210400 70383326464 70965006848 72936089600 73538867200 73767485440 73844801536 74455089152 76231940950 79981052800 80892753920 83855135045 83914547200 87979158080 88706258560 88982029312 92209356800 92306001920 93068861440 97576884416 101115942400 102375747584 106088857600 109973947600 110882823200 111227536640 115382502400 116336076800 116697743360 117662187520 121971105520 127969684480 129428406272 134168216072 139034420800 140766652928 141930013696 145872179200 147077734400 147689603072 152463881900 159962105600 161785507840 167710270090 167829094400 175958316160 177412517120 177964058624 184418713600 184612003840 186137722880 195153768832 202231884800 204751495168 219947895200 221765646400 222455073280 230765004800 232672153600 233395486720 243942211040 255939368960 258856812544 268336432144 278068841600 281533305856 283860027392 291744358400 294155468800 304927763800 319924211200 323571015680 335420540180 335658188800 351916632320 354825034240 355928117248 368837427200 369224007680 372275445760 390307537664 404463769600 409502990336 419275675225 439895790400 443531292800 444910146560 461530009600 465344307200 487884422080 511878737920 536672864288 556137683200 563066611712 567720054784 583488716800 588310937600 609855527600 639848422400 647142031360 670841080360 703833264640 709650068480 711856234496 738448015360 780615075328 808927539200 819005980672 838551350450 879791580800 887062585600 889820293120 923060019200 930688614400 975768844160 1023757475840 1073345728576 1112275366400 1126133223424 1135440109568 1166977433600 1219711055200 1279696844800 1294284062720 1341682160720 1407666529280 1419300136960 1423712468992 1561230150656 1617855078400 1677102700900 1759583161600 1774125171200 1779640586240 1846120038400 1861377228800 1951537688320 2047514951680 2146691457152 2224550732800 2252266446848 2270880219136 2439422110400 2559393689600 2683364321440 2815333058560 2838600273920 2847424937984 3122460301312 3235710156800 3354205401800 3519166323200 3548250342400 3559281172480 3692240076800 3903075376640 4095029903360 4293382914304 4449101465600 4504532893696 4541760438272 4878844220800 5118787379200 5366728642880 5630666117120 5677200547840 6244920602624 6471420313600 6708410803600 7038332646400 7096500684800 7118562344960 7806150753280 8586765828608 8898202931200 9009065787392 9757688441600 10237574758400 10733457285760 11261332234240 11354401095680 12489841205248 13416821607200 14076665292800 14193001369600 14237124689920 15612301506560 17173531657216 17796405862400 19515376883200 20475149516800 21466914571520 22522664468480 22708802191360 24979682410496 26833643214400 28153330585600 28386002739200 31224603013120 34347063314432 35592811724800 39030753766400 42933829143040 45045328936960 49959364820992 53667286428800 56306661171200 56772005478400 62449206026240 68694126628864 71185623449600 78061507532800 85867658286080 107334572857600 112613322342400 113544010956800 124898412052480 137388253257728 156123015065600 171735316572160 214669145715200 225226644684800 249796824104960 274776506515456 312246030131200 343470633144320 429338291430400 549553013030912 624492060262400 686941266288640 858676582860800 1248984120524800 1373882532577280 1717353165721600 2747765065154560 3434706331443200 6869412662886400 13738825325772800
• Sum of all divisors σ(n): 38273098029529545
• Sum of proper divisors (its aliquot sum) s(n): 24534272703756745
• 13738825325772800 is an abundant number, because the sum of its proper divisors (24534272703756745) is greater than itself. Its abundance is 10795447377983945

Bases of 13738825325772800

• Binary: 110000110011110110001110001011001011001000000000000000₂
• Hexadecimal: 0x30CF638B2C8000
• Base-36: 3RA098109A8

Squares and roots of 13738825325772800

• 13738825325772800 squared (13738825325772800²) is 188755321332096084047917219840000
• 13738825325772800 cubed (13738825325772800³) is 2593276389091784527176297467193614875492352000000
• The square root of 13738825325772800 is 117212735.3395218739
• The cube root of 13738825325772800 is 239506.0751958263

Scales and comparisons

• 13,738,825,325,772,800 seconds is equal to 436,852,148 years, 19 weeks, 6 days, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 13,738,825,325,772,800 would take you about one billion, three hundred ten million, five hundred fifty-six thousand, four hundred forty-five 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 13738825325772800 cubic inches would be around 19958.8 feet tall.

Recreational maths with 13738825325772800

• 13738825325772800 backwards is 00827752352883731
• The number of decimal digits it has is: 17
• The sum of 13738825325772800's digits is 71
• More coming soon!