1313087295187200
1,313,087,295,187,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 1313087295187200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
1313087295187200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 1313087295187200:
28 × 3 × 52 × 132 × 25939 × 15601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 25939 × 15601)See below for interesting mathematical facts about the number 1313087295187200 from the Numbermatics database.
Names of 1313087295187200
- Cardinal: 1313087295187200 can be written as One quadrillion, three hundred thirteen trillion, eighty-seven billion, two hundred ninety-five million, one hundred eighty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.3130872951872 × 1015
Factors of 1313087295187200
Divisors of 1313087295187200
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 169 192 195 200 208 240 256 260 300 312 320 325 338 384 390 400 416 480 507 520 600 624 640 650 676 768 780 800 832 845 960 975 1014 1040 1200 1248 1280 1300 1352 1560 1600 1664 1690 1920 1950 2028 2080 2400 2496 2535 2600 2704 3120 3200 3328 3380 3840 3900 4056 4160 4225 4800 4992 5070 5200 5408 6240 6400 6760 7800 8112 8320 8450 9600 9984 10140 10400 10816 12480 12675 13520 15600 15601 16224 16640 16900 19200 20280 20800 21632 24960 25350 25939 27040 31200 31202 32448 33800 40560 41600 43264 46803 49920 50700 51878 54080 62400 62404 64896 67600 77817 78005 81120 83200 93606 101400 103756 108160 124800 124808 129695 129792 135200 155634 156010 162240 187212 202800 202813 207512 216320 234015 249600 249616 259390 270400 311268 312020 324480 337207 374424 389085 390025 405600 405626 415024 468030 499232 518780 540800 608439 622536 624040 648475 648960 674414 748848 778170 780050 811200 811252 830048 936060 998464 1011621 1014065 1037560 1081600 1170075 1216878 1245072 1248080 1296950 1348828 1497696 1556340 1560100 1622400 1622504 1660096 1686035 1872120 1945425 1996928 2023242 2028130 2075120 2340150 2433756 2490144 2496160 2593900 2636569 2697656 2995392 3042195 3112680 3120200 3244800 3245008 3320192 3372070 3744240 3890850 3993856 4046484 4056260 4150240 4383691 4680300 4867512 4980288 4992320 5058105 5070325 5187800 5273138 5395312 5990784 6084390 6225360 6240400 6490016 6640384 6744140 7488480 7781700 7909707 8092968 8112520 8300480 8430175 8767382 9360600 9735024 9960576 9984640 10116210 10140650 10375600 10546276 10790624 11981568 12168780 12450720 12480800 12980032 13151073 13182845 13488280 14976960 15210975 15563400 15819414 16185936 16225040 16600960 16860350 17534764 18721200 19470048 19921152 19969280 20232420 20281300 20751200 21092552 21581248 21918455 24337560 24901440 24961600 25290525 25960064 26302146 26365690 26976560 29953920 30421950 31126800 31638828 32371872 32450080 33201920 33720700 35069528 37442400 38940096 39548535 40464840 40562600 41502400 42185104 43162496 43836910 48675120 49802880 49923200 50581050 51920128 52604292 52731380 53953120 59907840 60843900 62253600 63277656 64743744 64900160 65755365 65914225 67441400 70139056 74884800 77880192 79097070 80929680 81125200 83004800 84370208 86324992 87673820 97350240 99605760 99846400 101162100 105208584 105462760 107906240 109592275 121687800 124507200 126555312 129487488 129800320 131510730 131828450 134882800 140278112 149769600 155760384 158194140 161859360 162250400 166009600 168740416 175347640 194700480 197742675 202324200 210417168 210925520 215812480 219184550 243375600 249014400 253110624 258974976 259600640 263021460 263656900 269765600 280556224 299539200 316388280 323718720 324500800 328776825 337480832 350695280 389400960 395485350 404648400 404674339 420834336 421851040 431624960 438369100 486751200 498028800 506221248 526042920 527313800 539531200 561112448 632776560 647437440 649001600 657553650 674961664 701390560 778801920 790970700 809296800 809348678 841668672 843702080 876738200 973502400 1012442496 1052085840 1054627600 1079062400 1122224896 1214023017 1265553120 1294874880 1298003200 1315107300 1402781120 1581941400 1618593600 1618697356 1683337344 1687404160 1753476400 1947004800 2023371695 2024884992 2104171680 2109255200 2158124800 2428046034 2531106240 2630214600 2805562240 3163882800 3237187200 3237394712 3366674688 3374808320 3506952800 3894009600 4046743390 4208343360 4218510400 4856092068 5062212480 5260429200 5260766407 5611124480 6070115085 6327765600 6474374400 6474789424 7013905600 8093486780 8416686720 8437020800 9712184136 10116858475 10124424960 10520858400 10521532814 12140230170 12655531200 12949578848 14027811200 15782299221 16186973560 16833373440 16874041600 19424368272 20233716950 21041716800 21043065628 24280460340 25311062400 25899157696 26303832035 28055622400 30350575425 31564598442 32373947120 38848736544 40467433900 42083433600 42086131256 48560920680 50622124800 51798315392 52607664070 60701150850 63129196884 64747894240 68389963291 77697473088 78911496105 80934867800 84166867200 84172262512 97121841360 103596630784 105215328140 121402301700 126258393768 129495788480 131519160175 136779926582 155394946176 157822992210 161869735600 168344525024 194243682720 205169889873 210430656280 242804603400 252516787536 258991576960 263038320350 273559853164 310789892352 315645984420 323739471200 336689050048 341949816455 388487365440 394557480525 410339779746 420861312560 485609206800 505033575072 517983153920 526076640700 547119706328 631291968840 647478942400 673378100096 683899632910 776974730880 789114961050 820679559492 841722625120 971218413600 1010067150144 1025849449365 1052153281400 1094239412656 1262583937680 1294957884800 1346756200192 1367799265820 1553949461760 1578229922100 1641359118984 1683445250240 1709749082275 1942436827200 2020134300288 2051698898730 2104306562800 2188478825312 2525167875360 2589915769600 2735598531640 3156459844200 3282718237968 3366890500480 3419498164550 3884873654400 4040268600576 4103397797460 4208613125600 4376957650624 5050335750720 5129247246825 5471197063280 6312919688400 6565436475936 6733781000960 6838996329100 7769747308800 8206795594920 8417226251200 8753915301248 10100671501440 10258494493650 10942394126560 12625839376800 13130872951872 13677992658200 16413591189840 16834452502400 17507830602496 20201343002880 20516988987300 21884788253120 25251678753600 26261745903744 27355985316400 32827182379680 33668905004800 41033977974600 43769576506240 50503357507200 52523491807488 54711970632800 65654364759360 82067955949200 87539153012480 101006715014400 109423941265600 131308729518720 164135911898400 218847882531200 262617459037440 328271823796800 437695765062400 656543647593600 1313087295187200
- Sum of all divisors σ(n): 4692928314718560
- Sum of proper divisors (its aliquot sum) s(n): 3379841019531360
- 1313087295187200 is an abundant number, because the sum of its proper divisors (3379841019531360) is greater than itself. Its abundance is 2066753724344160
Bases of 1313087295187200
- Binary: 1001010101000111110111101011100100111101001000000002
- Hexadecimal: 0x4AA3EF5C9E900
- Base-36: CXG7Z4N85C
Squares and roots of 1313087295187200
- 1313087295187200 squared (13130872951872002) is 1724198244782036908283043840000
- 1313087295187200 cubed (13130872951872003) is 2264022809607362619910742439462598606848000000
-
The
square root of 1313087295187200 is 36236546.4025919557 -
The
cube root of 1313087295187200 is 109504.3066684543
Scales and comparisons
How big is 1313087295187200?- 1,313,087,295,187,200 seconds is equal to 41,752,114 years, 17 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 1,313,087,295,187,200 would take you about one hundred twenty-five million, two hundred fifty-six thousand, three hundred forty-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 1313087295187200 cubic inches would be around 9125.4 feet tall.
Recreational maths with 1313087295187200
- 1313087295187200 backwards is 0027815927803131
- The number of decimal digits it has is: 16
- The sum of 1313087295187200's digits is 57
- More coming soon!
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