13122984096768
13,122,984,096,768 is an even composite number composed of seven prime numbers multiplied together.
13122984096768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13122984096768:
210 × 3 × 7 × 132 × 29 × 41 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 29 × 41 × 3037)See below for interesting mathematical facts about the number 13122984096768 from the Numbermatics database.
Names of 13122984096768
- Cardinal: 13122984096768 can be written as Thirteen trillion, one hundred twenty-two billion, nine hundred eighty-four million, ninety-six thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3122984096768 × 1013
Factors of 13122984096768
Divisors of 13122984096768
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 32 39 41 42 48 52 56 58 64 78 82 84 87 91 96 104 112 116 123 128 156 164 168 169 174 182 192 203 208 224 232 246 256 273 287 312 328 336 338 348 364 377 384 406 416 448 464 492 507 512 533 546 574 609 624 656 672 676 696 728 754 768 812 832 861 896 928 984 1014 1024 1066 1092 1131 1148 1183 1189 1218 1248 1312 1344 1352 1392 1456 1508 1536 1599 1624 1664 1722 1792 1856 1968 2028 2132 2184 2262 2296 2366 2378 2436 2496 2624 2639 2688 2704 2784 2912 3016 3037 3072 3198 3248 3328 3444 3549 3567 3584 3712 3731 3936 4056 4264 4368 4524 4592 4732 4756 4872 4901 4992 5248 5278 5376 5408 5568 5824 6032 6074 6396 6496 6656 6888 6929 7098 7134 7168 7424 7462 7872 7917 8112 8323 8528 8736 9048 9111 9184 9464 9512 9744 9802 9984 10496 10556 10752 10816 11136 11193 11648 12064 12148 12792 12992 13312 13776 13858 14196 14268 14703 14848 14924 15457 15744 15834 16224 16646 17056 17472 18096 18222 18368 18928 19024 19488 19604 19968 20787 20992 21112 21259 21504 21632 22272 22386 23296 24128 24296 24969 25584 25984 27552 27716 28392 28536 29406 29696 29848 30914 31488 31668 32448 33292 34112 34307 34944 36192 36444 36736 37856 38048 38976 39208 39481 39936 41574 41984 42224 42518 43264 44544 44772 46371 46592 48256 48503 48592 49938 51168 51968 55104 55432 56784 57072 58812 59696 61828 62976 63336 63777 64896 66584 68224 68614 69888 72384 72888 73472 75712 76096 77952 78416 78962 83148 84448 85036 86528 88073 89088 89544 92742 93184 96512 97006 97184 99876 102336 102921 103936 108199 110208 110864 113568 114144 117624 118443 119392 123656 124517 125952 126672 127554 129792 133168 136448 137228 139776 144768 145509 145776 146944 151424 152192 155904 156832 157924 166296 168896 170072 173056 176146 179088 185484 193024 194012 194368 199752 200941 204672 205842 207872 216398 220416 221728 227136 228288 235248 236886 238784 247312 249034 253344 255108 259584 264219 266336 272896 274456 276367 279552 289536 291018 291552 293888 302848 304384 311808 313664 315848 324597 332592 337792 340144 352292 358176 370968 373551 386048 388024 388736 399504 401882 409344 411684 432796 440832 443456 454272 456576 470496 473772 477568 494624 498068 506688 510216 513253 519168 528438 532672 545792 548912 552734 579072 582036 583104 602823 605696 608768 616511 623616 627328 631696 649194 665184 675584 680288 704584 716352 741936 747102 776048 777472 799008 803764 818688 823368 829101 865592 871619 881664 886912 908544 913152 940992 947544 955136 989248 996136 1013376 1020432 1026506 1056876 1065344 1097824 1105468 1144949 1158144 1164072 1166208 1205646 1211392 1217536 1233022 1254656 1263392 1298388 1330368 1351168 1360576 1406587 1409168 1432704 1483872 1494204 1539759 1552096 1554944 1598016 1607528 1618721 1637376 1646736 1658202 1731184 1743238 1773824 1817088 1826304 1849533 1881984 1895088 1910272 1978496 1992272 2026752 2040864 2053012 2113752 2130688 2195648 2210936 2289898 2328144 2332416 2411292 2466044 2509312 2526784 2596776 2614857 2660736 2702336 2721152 2813174 2818336 2865408 2967744 2988408 3079518 3104192 3109888 3196032 3215056 3237442 3293472 3316404 3434847 3462368 3486476 3547648 3592771 3610993 3634176 3652608 3699066 3763968 3790176 3820544 3956992 3984544 4053504 4081728 4106024 4219761 4227504 4261376 4391296 4421872 4579796 4656288 4664832 4822584 4856163 4932088 5018624 5053568 5193552 5229714 5321472 5442304 5626348 5636672 5730816 5935488 5976816 6159036 6208384 6392064 6430112 6474884 6586944 6632808 6869694 6924736 6972952 7095296 7185542 7221986 7398132 7527936 7580352 7913984 7969088 8014643 8107008 8163456 8212048 8439522 8455008 8522752 8782592 8843744 9159592 9312576 9329664 9645168 9712326 9864176 10107136 10387104 10459428 10642944 10778313 10832979 10884608 11252696 11273344 11331047 11461632 11870976 11953632 12318072 12416768 12784128 12860224 12949768 13173888 13265616 13739388 13849472 13945904 14371084 14443972 14796264 14884337 15055872 15160704 15827968 15938176 16029286 16326912 16424096 16879044 16910016 17565184 17687488 18319184 18625152 19290336 19424652 19728352 20214272 20774208 20918856 21043373 21285888 21556626 21665958 21769216 22505392 22546688 22662094 23741952 23907264 24043929 24636144 24833536 25276951 25568256 25720448 25899536 26347776 26531232 27478776 27698944 27891808 28742168 28887944 29592528 29768674 30321408 31876352 32058572 32653824 32848192 33758088 33820032 33993141 35130368 35374976 36638368 37250304 38580672 38849304 39456704 40428544 41548416 41837712 42086746 43113252 43331916 44653011 45010784 45093376 45324188 46942909 47483904 47814528 48087858 49272288 49667072 50553902 51440896 51799072 52695552 53062464 54957552 55397888 55783616 57484336 57775888 59185056 59537348 60642816 63130119 63752704 64117144 65307648 65696384 67516176 67640064 67986282 70749952 73276736 74500608 75830853 77161344 77698608 78913408 83096832 83675424 84173492 86226504 86663832 89306022 90021568 90186752 90648376 93885818 95629056 96175716 98544576 101107804 102881792 103598144 104190359 105391104 106124928 109915104 110795776 111567232 114968672 115551776 118370112 119074696 121285632 126260238 127505408 128234288 131392768 135032352 135280128 135972564 140828727 141499904 146553472 147303611 149001216 151661706 154322688 155397216 157826816 166193664 167350848 168346984 172453008 173327664 178612044 180043136 181296752 187771636 191258112 192351432 197089152 202215608 205763584 207196288 208380718 212249856 219830208 223134464 229937344 231103552 236740224 238149392 252520476 256468576 262785536 270064704 270560256 271945128 281657454 282999808 293106944 294607222 303323412 308645376 310794432 312571077 315653632 328600363 332387328 334701696 336693968 344906016 346655328 357224088 360086272 362593504 375543272 382516224 384702864 394178304 404431216 414392576 416761436 424499712 439660416 441910833 446268928 459874688 462207104 473480448 476298784 505040952 512937152 525571072 540129408 543890256 563314908 586213888 589214444 606646824 610257817 617290752 621588864 625142154 631307264 657200726 669403392 673387936 689812032 693310656 714448176 720172544 725187008 751086544 769405728 788356608 808862432 828785152 833522872 848999424 879320832 883821666 892537856 919749376 924414208 946960896 952597568 985801089 1010081904 1025874304 1080258816 1087780512 1126629816 1172427776 1178428888 1213293648 1220515634 1243177728 1250284308 1314401452 1338806784 1346775872 1379624064 1386621312 1428896352 1440345088 1450374016 1502173088 1538811456 1576713216 1617724864 1657570304 1667045744 1758641664 1767643332 1830773451 1839498752 1848828416 1893921792 1905195136 1971602178 2020163808 2051748608 2160517632 2175561024 2253259632 2356857776 2426587296 2441031268 2486355456 2500568616 2628802904 2677613568 2693551744 2759248128 2773242624 2857792704 2900748032 3004346176 3077622912 3235449728 3334091488 3517283328 3535286664 3661546902 3678997504 3697656832 3810390272 3943204356 4040327616 4103497216 4271804719 4321035264 4351122048 4506519264 4713715552 4853174592 4882062536 4972710912 5001137232 5257605808 5387103488 5518496256 5546485248 5715585408 5801496064 6008692352 6155245824 6470899456 6668182976 7070573328 7323093804 7620780544 7886408712 8080655232 8206994432 8543609438 8702244096 9013038528 9427431104 9706349184 9764125072 10002274464 10515211616 10774206976 11036992512 11092970496 11431170816 11602992128 12017384704 12310491648 12815414157 12941798912 13336365952 14141146656 14646187608 15241561088 15772817424 16161310464 17087218876 17404488192 18026077056 18854862208 19412698368 19528250144 20004548928 21030423232 21548413952 22862341632 24034769408 24620983296 25630828314 25883597824 26672731904 28282293312 29292375216 31545634848 32322620928 34174437752 34808976384 36052154112 37709724416 38825396736 39056500288 40009097856 42060846464 45724683264 48069538816 51261656628 53345463808 56564586624 58584750432 63091269696 64645241856 68348875504 72104308224 75419448832 77650793472 78113000576 80018195712 84121692928 102523313256 106690927616 113129173248 117169500864 126182539392 136697751008 144208616448 150838897664 156226001152 160036391424 168243385856 205046626512 226258346496 234339001728 252365078784 273395502016 312452002304 320072782848 336486771712 410093253024 452516692992 468678003456 504730157568 546791004032 624904004608 820186506048 937356006912 1009460315136 1093582008064 1640373012096 1874712013824 2187164016128 3280746024192 4374328032256 6561492048384 13122984096768
- Sum of all divisors σ(n): 45885685628160
- Sum of proper divisors (its aliquot sum) s(n): 32762701531392
- 13122984096768 is an abundant number, because the sum of its proper divisors (32762701531392) is greater than itself. Its abundance is 19639717434624
Bases of 13122984096768
- Binary: 101111101111011011101100111000110100000000002
- Hexadecimal: 0xBEF6ECE3400
- Base-36: 4NGM5WLXC
Squares and roots of 13122984096768
- 13122984096768 squared (131229840967682) is 172212711604025840788045824
- 13122984096768 cubed (131229840967683) is 2259944675640925120746445300996434296832
-
The
square root of 13122984096768 is 3622565.9547850885 -
The
cube root of 13122984096768 is 23587.2621680597
Scales and comparisons
How big is 13122984096768?- 13,122,984,096,768 seconds is equal to 417,270 years, 15 weeks, 5 days, 12 minutes, 48 seconds.
-
To count from 1 to 13,122,984,096,768 would take you about one million, forty-three thousand, one hundred seventy-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 13122984096768 cubic inches would be around 1965.6 feet tall.
Recreational maths with 13122984096768
- 13122984096768 backwards is 86769048922131
- The number of decimal digits it has is: 14
- The sum of 13122984096768's digits is 66
- More coming soon!
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The information we have on file for 13122984096768 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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