13807120496426496
13,807,120,496,426,496 is an even composite number composed of five prime numbers multiplied together.
What does the number 13807120496426496 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 900 divisors.
13807120496426496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 13807120496426496:
29 × 32 × 23 × 614 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 61 × 61 × 61 × 61 × 97 × 97)See below for interesting mathematical facts about the number 13807120496426496 from the Numbermatics database.
Names of 13807120496426496
- Cardinal: 13807120496426496 can be written as Thirteen quadrillion, eight hundred seven trillion, one hundred twenty billion, four hundred ninety-six million, four hundred twenty-six thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.3807120496426496 × 1016
Factors of 13807120496426496
Divisors of 13807120496426496
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 61 64 69 72 92 96 97 122 128 138 144 183 184 192 194 207 244 256 276 288 291 366 368 384 388 414 488 512 549 552 576 582 732 736 768 776 828 873 976 1098 1104 1152 1164 1403 1464 1472 1536 1552 1656 1746 1952 2196 2208 2231 2304 2328 2806 2928 2944 3104 3312 3492 3721 3904 4209 4392 4416 4462 4608 4656 5612 5856 5888 5917 6208 6624 6693 6984 7442 7808 8418 8784 8832 8924 9312 9409 11163 11224 11712 11776 11834 12416 12627 13248 13386 13968 14884 15616 16836 17568 17664 17751 17848 18624 18818 20079 22326 22448 23424 23668 24832 25254 26496 26772 27936 28227 29768 31232 33489 33672 35136 35328 35502 35696 37248 37636 40158 44652 44896 46848 47336 49664 50508 52992 53253 53544 55872 56454 59536 66978 67344 70272 71004 71392 74496 75272 80316 84681 85583 89304 89792 93696 94672 101016 105984 106506 107088 111744 112908 119072 133956 134688 136091 140544 142008 142784 148992 150544 160632 169362 171166 178608 179584 189344 202032 213012 214176 216407 223488 225816 226981 238144 256749 267912 269376 272182 281088 284016 285568 301088 321264 338724 342332 357216 359168 360937 378688 404064 408273 426024 428352 432814 446976 451632 453962 476288 513498 535824 538752 544364 568032 571136 573949 602176 642528 649221 677448 680943 684664 714432 718336 721874 757376 770247 808128 816546 852048 856704 865628 903264 907924 952576 1026996 1071648 1077504 1082811 1088728 1136064 1142272 1147898 1204352 1224819 1285056 1298442 1354896 1361886 1369328 1428864 1443748 1514752 1540494 1616256 1633092 1704096 1713408 1721847 1731256 1806528 1815848 1905152 1947663 2042829 2053992 2143296 2155008 2165622 2177456 2272128 2295796 2408704 2449638 2570112 2596884 2709792 2723772 2738656 2857728 2887496 3029504 3080988 3232512 3248433 3266184 3408192 3426816 3443694 3462512 3613056 3631696 3895326 4085658 4107984 4286592 4331244 4354912 4544256 4591592 4817408 4899276 5140224 5165541 5193768 5220563 5419584 5447544 5477312 5715456 5774992 6161976 6465024 6496866 6532368 6816384 6887388 6925024 7226112 7263392 7790652 8171316 8215968 8301551 8573184 8662488 8709824 9088512 9183184 9798552 10280448 10331082 10387536 10441126 10839168 10895088 10954624 11549984 12323952 12993732 13064736 13200827 13632768 13774776 13845841 13850048 14452224 14526784 15581304 15661689 16342632 16431936 16603102 17146368 17324976 17419648 18366368 19597104 20662164 20775072 20882252 21678336 21790176 21909248 22017157 23099968 24647904 24904653 25987464 26129472 26401654 27265536 27549552 27691682 27700096 29053568 31162608 31323378 32685264 32863872 33206204 34649952 34839296 35010889 36732736 39194208 39602481 41324328 41537523 41550144 41764504 43356672 43580352 43818496 44034314 46199936 46985067 49295808 49809306 51974928 52258944 52803308 55099104 55383364 55400192 58107136 62325216 62646756 65370528 65727744 66051471 66412408 69299904 69678592 70021778 73465472 74713959 78388416 79204962 82648656 83075046 83100288 83529008 87160704 88068628 92399872 93970134 98591616 99618612 103949856 104517888 105032667 105606616 110198208 110766728 110800384 116214272 118807443 124612569 124650432 125293512 130741056 131455488 132102942 132824816 138599808 140043556 146930944 149427918 156776832 158409924 165297312 166150092 166200576 167058016 174321408 176137256 184799744 187940268 197183232 198154413 199237224 207899712 209035776 210065334 211213232 220396416 221533456 237614886 249225138 249300864 250587024 261482112 264205884 265649632 277199616 280087112 293861888 298855836 313553664 315098001 316819848 318454343 330594624 332300184 332401152 334116032 348642816 352274512 375880536 394366464 396308826 398474448 415799424 420130668 422426464 440792832 443066912 475229772 498450276 498601728 501174048 506394611 522964224 528411768 531299264 554399232 560174224 597711672 627107328 630196002 633639696 636908686 661189248 664600368 668232064 704549024 751761072 792617652 796948896 805250447 831598848 840261336 844852928 881585664 886133824 950459544 955363029 996900552 997203456 1002348096 1012789222 1045928448 1056823536 1062598528 1120348448 1195423344 1260392004 1267279392 1273817372 1322378496 1329200736 1336464128 1343046577 1409098048 1503522144 1519183833 1585235304 1593897792 1610500894 1663197696 1680522672 1689705856 1772267648 1900919088 1910726058 1993801104 2004696192 2025578444 2113647072 2125197056 2135664229 2240696896 2390846688 2415751341 2520784008 2534558784 2547634744 2644756992 2658401472 2672928256 2686093154 2818196096 2866089087 3007044288 3038367666 3170470608 3187795584 3221001788 3361045344 3379411712 3544535296 3801838176 3821452116 3987602208 4009392384 4029139731 4051156888 4227294144 4250394112 4271328458 4481393792 4557551499 4781693376 4831502682 5041568016 5069117568 5095269488 5316802944 5372186308 5636392192 5732178174 6014088576 6076735332 6340941216 6375591168 6406992687 6442003576 6722090688 6758823424 7089070592 7247254023 7603676352 7642904232 7975204416 8018784768 8058279462 8102313776 8454588288 8542656916 8962787584 9115102998 9563386752 9663005364 10083136032 10138235136 10190538976 10633605888 10744372616 11272784384 11464356348 12028177152 12087419193 12153470664 12681882432 12751182336 12813985374 12884007152 13444181376 14494508046 15207352704 15285808464 15950408832 16116558924 16204627552 16909176576 17085313832 17925575168 18230205996 19126773504 19220978061 19326010728 20166272064 20276470272 20381077952 21267211776 21488745232 22928712696 24056354304 24174838386 24306941328 25363764864 25627970748 25768014304 26888362752 28989016092 30414705408 30571616928 30890071271 31900817664 32233117848 32409255104 33818353152 34170627664 36460411992 38253547008 38441956122 38652021456 40332544128 40762155904 42977490464 45857425392 48349676772 48613882656 49120277267 50727529728 51255941496 51536028608 53776725504 57978032184 60829410816 61143233856 61780142542 63801635328 64466235696 64818510208 68341255328 72920823984 76883912244 77304042912 80665088256 81524311808 85954980928 91714850784 92670213813 96699353544 97227765312 98240554534 101455059456 102511882992 103072057216 115956064368 122286467712 123560285084 128932471392 129637020416 130275517969 136682510656 145841647968 147360831801 153767824488 154608085824 161330176512 163048623616 171909961856 183429701568 185340427626 193398707088 194455530624 196481109068 205023765984 206144114432 231912128736 244572935424 247120570168 257864942784 259274040832 260551035938 273365021312 278010641439 291683295936 294721663602 307535648976 309216171648 343819923712 366859403136 370680855252 386797414176 388911061248 390826553907 392962218136 410047531968 412288228864 442082495403 463824257472 489145870848 494241140336 515729885568 521102071876 546730042624 556021282878 583366591872 589443327204 615071297952 618432343296 687639847424 733718806272 741361710504 773594828352 777822122496 781653107814 785924436272 820095063936 884164990806 927648514944 988482280672 1031459771136 1042204143752 1093460085248 1112042565756 1166733183744 1172479661721 1178886654408 1230142595904 1236864686592 1467437612544 1482723421008 1547189656704 1563306215628 1571848872544 1640190127872 1768329981612 1855297029888 1976964561344 2062919542272 2084408287504 2224085131512 2333466367488 2344959323442 2357773308816 2460285191808 2965446842016 2996336913287 3094379313408 3126612431256 3143697745088 3280380255744 3536659963224 3710594059776 3953929122688 4168816575008 4448170263024 4689918646884 4715546617632 4920570383616 5930893684032 5992673826574 6188758626816 6253224862512 6287395490176 7073319926448 7907858245376 8337633150016 8896340526048 8989010739861 9379837293768 9431093235264 9841140767232 11861787368064 11985347653148 12506449725024 12574790980352 14146639852896 15815716490752 16675266300032 17792681052096 17978021479722 18759674587536 18862186470528 23723574736128 23970695306296 25012899450048 25149581960704 26967032219583 28293279705792 33350532600064 35585362104192 35956042959444 37519349175072 37724372941056 47447149472256 47941390612592 50025798900096 53934064439166 56586559411584 66701065200128 71170724208384 71912085918888 75038698350144 75448745882112 95882781225184 100051597800192 107868128878332 113173118823168 142341448416768 143824171837776 150077396700288 191765562450368 200103195600384 215736257756664 226346237646336 287648343675552 300154793400576 383531124900736 431472515513328 575296687351104 600309586801152 767062249801472 862945031026656 1150593374702208 1534124499602944 1725890062053312 2301186749404416 3451780124106624 4602373498808832 6903560248213248 13807120496426496
- Sum of all divisors σ(n): 42714137937402360
- Sum of proper divisors (its aliquot sum) s(n): 28907017440975864
- 13807120496426496 is an abundant number, because the sum of its proper divisors (28907017440975864) is greater than itself. Its abundance is 15099896944549368
Bases of 13807120496426496
- Binary: 1100010000110110000000110000001000111101111110000000002
- Hexadecimal: 0x310D80C08F7E00
- Base-36: 3RY7RLAA9S0
Squares and roots of 13807120496426496
- 13807120496426496 squared (138071204964264962) is 190636576402840649342305930838016
- 13807120496426496 cubed (138071204964264963) is 2632142181420236819445607063157825279854626471936
-
The
square root of 13807120496426496 is 117503704.1817256755 -
The
cube root of 13807120496426496 is 239902.2779030195
Scales and comparisons
How big is 13807120496426496?- 13,807,120,496,426,496 seconds is equal to 439,023,723 years, 29 weeks, 7 hours, 21 minutes, 36 seconds.
-
To count from 1 to 13,807,120,496,426,496 would take you about one billion, three hundred seventeen million, seventy-one thousand, one hundred seventy 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 13807120496426496 cubic inches would be around 19991.9 feet tall.
Recreational maths with 13807120496426496
- 13807120496426496 backwards is 69462469402170831
- 13807120496426496 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13807120496426496's digits is 72
- More coming soon!
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The information we have on file for 13807120496426496 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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