13680247809507328
13,680,247,809,507,328 is an even composite number composed of four prime numbers multiplied together.
13680247809507328 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13680247809507328:
221 × 75 × 173 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 79)See below for interesting mathematical facts about the number 13680247809507328 from the Numbermatics database.
Names of 13680247809507328
- Cardinal: 13680247809507328 can be written as Thirteen quadrillion, six hundred eighty trillion, two hundred forty-seven billion, eight hundred nine million, five hundred seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3680247809507328 × 1016
Factors of 13680247809507328
Divisors of 13680247809507328
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 79 98 112 119 128 136 158 196 224 238 256 272 289 316 343 392 448 476 512 544 553 578 632 686 784 833 896 952 1024 1088 1106 1156 1264 1343 1372 1568 1666 1792 1904 2023 2048 2176 2212 2312 2401 2528 2686 2744 3136 3332 3584 3808 3871 4046 4096 4352 4424 4624 4802 4913 5056 5372 5488 5831 6272 6664 7168 7616 7742 8092 8192 8704 8848 9248 9401 9604 9826 10112 10744 10976 11662 12544 13328 14161 14336 15232 15484 16184 16384 16807 17408 17696 18496 18802 19208 19652 20224 21488 21952 22831 23324 25088 26656 27097 28322 28672 30464 30968 32368 32768 33614 34391 34816 35392 36992 37604 38416 39304 40448 40817 42976 43904 45662 46648 50176 53312 54194 56644 57344 60928 61936 64736 65536 65807 67228 68782 69632 70784 73984 75208 76832 78608 80896 81634 85952 87808 91324 93296 99127 100352 106624 108388 113288 114688 121856 123872 129472 131072 131614 134456 137564 139264 141568 147968 150416 153664 157216 159817 161792 163268 171904 175616 182648 186592 189679 198254 200704 213248 216776 226576 229376 240737 243712 247744 258944 262144 263228 268912 275128 278528 283136 285719 295936 300832 307328 314432 319634 323584 326536 343808 351232 365296 373184 379358 388127 396508 401408 426496 433552 453152 458752 460649 481474 487424 495488 517888 524288 526456 537824 550256 557056 566272 571438 591872 601664 614656 628864 639268 647168 653072 687616 693889 702464 730592 746368 758716 776254 793016 802816 852992 867104 906304 917504 921298 962948 974848 990976 1035776 1048576 1052912 1075648 1100512 1114112 1118719 1132544 1142876 1183744 1203328 1229312 1257728 1278536 1294336 1306144 1327753 1375232 1387778 1404928 1461184 1492736 1517432 1552508 1586032 1605632 1685159 1705984 1734208 1812608 1835008 1842596 1925896 1949696 1981952 2071552 2097152 2105824 2151296 2201024 2228224 2237438 2265088 2285752 2367488 2406656 2458624 2515456 2557072 2588672 2612288 2655506 2716889 2750464 2775556 2809856 2922368 2985472 3034864 3105016 3172064 3211264 3224543 3370318 3411968 3468416 3625216 3670016 3685192 3851792 3899392 3963904 4143104 4211648 4302592 4402048 4456448 4474876 4530176 4571504 4734976 4813312 4857223 4917248 5030912 5114144 5177344 5224576 5311012 5433778 5500928 5551112 5619712 5844736 5970944 6069728 6210032 6344128 6422528 6449086 6740636 6823936 6936832 7250432 7340032 7370384 7703584 7798784 7831033 7927808 8286208 8423296 8605184 8804096 8912896 8949752 9060352 9143008 9469952 9626624 9714446 9834496 10061824 10228288 10354688 10449152 10622024 10867556 11001856 11102224 11239424 11689472 11796113 11941888 12139456 12420064 12688256 12845056 12898172 13481272 13647872 13873664 14500864 14680064 14740768 15407168 15597568 15662066 15855616 16572416 16846592 17210368 17608192 17825792 17899504 18120704 18286016 18939904 19018223 19253248 19428892 19668992 20123648 20456576 20709376 20898304 21244048 21735112 22003712 22204448 22478848 22571801 23378944 23592226 23883776 24278912 24840128 25376512 25690112 25796344 26962544 27295744 27747328 29001728 29481536 30814336 31195136 31324132 31711232 33144832 33693184 34420736 35216384 35651584 35799008 36241408 36572032 37879808 38036446 38506496 38857784 39337984 40247296 40913152 41418752 41796608 42488096 43470224 44007424 44408896 44957696 45143602 46757888 47184452 47767552 48557824 49680256 50753024 51380224 51592688 53925088 54591488 54817231 55494656 58003456 58963072 61628672 62390272 62648264 63422464 66289664 67386368 68841472 70432768 71598016 72482816 73144064 75759616 76072892 77012992 77715568 78675968 80494592 81826304 82572791 82837504 83593216 84976192 86940448 88014848 88817792 89915392 90287204 93515776 94368904 95535104 97115648 99360512 101506048 102760448 103185376 107850176 109182976 109634462 110989312 116006912 117926144 123257344 124780544 125296528 126844928 132579328 133127561 134772736 137682944 140865536 143196032 144965632 146288128 151519232 152145784 154025984 155431136 157351936 160989184 163652608 165145582 165675008 167186432 169952384 173880896 176029696 177635584 179830784 180574408 187031552 188737808 191070208 194231296 198721024 203012096 206370752 215700352 218365952 219268924 221978624 232013824 235852288 246514688 249561088 250593056 253689856 265158656 266255122 269545472 275365888 281731072 286392064 289931264 292576256 303038464 304291568 308051968 310862272 314703872 321978368 327305216 330291164 334372864 339904768 347761792 352059392 355271168 359661568 361148816 374063104 377475616 382140416 383720617 388462592 397442048 406024192 412741504 431400704 436731904 438537848 443957248 464027648 471704576 493029376 501186112 507379712 530317312 532510244 539090944 550731776 563462144 572784128 579862528 585152512 606076928 608583136 616103936 621724544 629407744 643956736 654610432 660582328 668745728 679809536 695523584 704118784 710542336 719323136 722297632 748126208 754951232 764280832 767441234 776925184 794884096 812048384 825483008 862801408 873463808 877075696 887914496 928055296 931892927 943409152 986058752 1002372224 1014759424 1060634624 1065020488 1078181888 1101463552 1126924288 1145568256 1159725056 1170305024 1217166272 1232207872 1243449088 1258815488 1287913472 1309220864 1321164656 1337491456 1359619072 1391047168 1408237568 1421084672 1444595264 1496252416 1509902464 1528561664 1534882468 1553850368 1589768192 1624096768 1650966016 1725602816 1746927616 1754151392 1775828992 1856110592 1863785854 1886818304 1972117504 2004744448 2029518848 2121269248 2130040976 2156363776 2202927104 2253848576 2291136512 2340610048 2434332544 2464415744 2486898176 2517630976 2575826944 2618441728 2642329312 2674982912 2719238144 2782094336 2816475136 2842169344 2889190528 2992504832 3019804928 3057123328 3069764936 3107700736 3179536384 3248193536 3301932032 3451205632 3508302784 3551657984 3712221184 3727571708 3773636608 3944235008 4009488896 4059037696 4242538496 4260081952 4312727552 4405854208 4507697152 4582273024 4681220096 4868665088 4928831488 4973796352 5035261952 5151653888 5236883456 5284658624 5349965824 5438476288 5564188672 5684338688 5778381056 5985009664 6039609856 6114246656 6139529872 6215401472 6359072768 6496387072 6523250489 6603864064 6902411264 7016605568 7103315968 7424442368 7455143416 7547273216 7888470016 8018977792 8118075392 8520163904 8625455104 8811708416 9015394304 9164546048 9362440192 9737330176 9857662976 9947592704 10303307776 10473766912 10569317248 10699931648 10876952576 11128377344 11368677376 11556762112 11970019328 12079219712 12228493312 12279059744 12430802944 12718145536 12992774144 13046500978 13207728128 13804822528 14033211136 14206631936 14848884736 14910286832 15094546432 15776940032 16037955584 17040327808 17250910208 17623416832 18030788608 18329092096 18724880384 19474660352 19715325952 19895185408 20947533824 21138634496 21399863296 21753905152 22256754688 22737354752 23113524224 23940038656 24158439424 24558119488 24861605888 25436291072 25985548288 26093001956 26415456256 27609645056 28066422272 28413263872 29697769472 29820573664 30189092864 31553880064 32075911168 34080655616 34501820416 35246833664 36061577216 36658184192 37449760768 38949320704 39790370816 41895067648 42277268992 42799726592 43507810304 44513509376 45474709504 46227048448 47880077312 48316878848 49116238976 49723211776 50872582144 51971096576 52186003912 52830912512 55219290112 56132844544 56826527744 59641147328 60378185728 63107760128 64151822336 68161311232 69003640832 72123154432 73316368384 74899521536 77898641408 79580741632 83790135296 84554537984 85599453184 87015620608 89027018752 90949419008 92454096896 96633757696 98232477952 99446423552 101745164288 103942193152 104372007824 105661825024 110438580224 112265689088 119282294656 120756371456 126215520256 128303644672 136322622464 138007281664 146632736768 149799043072 155797282816 159161483264 167580270592 169109075968 174031241216 178054037504 181898838016 184908193792 193267515392 196464955904 198892847104 203490328576 207884386304 208744015648 211323650048 220877160448 224531378176 238564589312 241512742912 252431040512 256607289344 272645244928 293265473536 299598086144 311594565632 318322966528 335160541184 338218151936 348062482432 356108075008 363797676032 369816387584 386535030784 392929911808 397785694208 406980657152 417488031296 422647300096 441754320896 449062756352 477129178624 483025485824 504862081024 513214578688 545290489856 586530947072 599196172288 623189131264 636645933056 676436303872 696124964864 712216150016 727595352064 739632775168 773070061568 785859823616 813961314304 834976062592 845294600192 883508641792 898125512704 954258357248 966050971648 1026429157376 1090580979712 1173061894144 1246378262528 1273291866112 1352872607744 1392249929728 1424432300032 1455190704128 1479265550336 1546140123136 1571719647232 1669952125184 1690589200384 1767017283584 1796251025408 1908516714496 2052858314752 2181161959424 2346123788288 2492756525056 2546583732224 2705745215488 2784499859456 2848864600064 2958531100672 3092280246272 3143439294464 3339904250368 3381178400768 3534034567168 3592502050816 3817033428992 4105716629504 4362323918848 4985513050112 5093167464448 5411490430976 5697729200128 5917062201344 6184560492544 6286878588928 6679808500736 6762356801536 7185004101632 7634066857984 8211433259008 8724647837696 9971026100224 10186334928896 10822980861952 11834124402688 12369120985088 12573757177856 13359617001472 14370008203264 15268133715968 16422866518016 17449295675392 19942052200448 21645961723904 23668248805376 24738241970176 25147514355712 26719234002944 28740016406528 30536267431936 34898591350784 39884104400896 43291923447808 47336497610752 50295028711424 53438468005888 57480032813056 61072534863872 69797182701568 86583846895616 100590057422848 106876936011776 114960065626112 122145069727744 139594365403136 173167693791232 201180114845696 213753872023552 244290139455488 279188730806272 402360229691392 427507744047104 488580278910976 804720459382784 855015488094208 977160557821952 1710030976188416 1954321115643904 3420061952376832 6840123904753664 13680247809507328
- Sum of all divisors σ(n): 34344214610342400
- Sum of proper divisors (its aliquot sum) s(n): 20663966800835072
- 13680247809507328 is an abundant number, because the sum of its proper divisors (20663966800835072) is greater than itself. Its abundance is 6983718991327744
Bases of 13680247809507328
- Binary: 1100001001101000011100111001110010000000000000000000002
- Hexadecimal: 0x309A1CE7200000
- Base-36: 3QP8R308Z5S
Squares and roots of 13680247809507328
- 13680247809507328 squared (136802478095073282) is 187149180129530046002146085699584
- 13680247809507328 cubed (136802478095073283) is 2560247161518095767277282417367837017577254551552
-
The
square root of 13680247809507328 is 116962591.4962015877 -
The
cube root of 13680247809507328 is 239165.2004063123
Scales and comparisons
How big is 13680247809507328?- 13,680,247,809,507,328 seconds is equal to 434,989,564 years, 28 weeks, 6 days, 22 hours, 15 minutes, 28 seconds.
-
To count from 1 to 13,680,247,809,507,328 would take you about one billion, three hundred four million, nine hundred sixty-eight thousand, six hundred ninety-three 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 13680247809507328 cubic inches would be around 19930.4 feet tall.
Recreational maths with 13680247809507328
- 13680247809507328 backwards is 82370590874208631
- The number of decimal digits it has is: 17
- The sum of 13680247809507328's digits is 73
- More coming soon!
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The information we have on file for 13680247809507328 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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