13135400986400
13,135,400,986,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13135400986400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
13135400986400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13135400986400:
25 × 52 × 7 × 11 × 29 × 61 × 149 × 809
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 29 × 61 × 149 × 809)See below for interesting mathematical facts about the number 13135400986400 from the Numbermatics database.
Names of 13135400986400
- Cardinal: 13135400986400 can be written as Thirteen trillion, one hundred thirty-five billion, four hundred million, nine hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31354009864 × 1013
Factors of 13135400986400
Divisors of 13135400986400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 32 35 40 44 50 55 56 58 61 70 77 80 88 100 110 112 116 122 140 145 149 154 160 175 176 200 203 220 224 232 244 275 280 290 298 305 308 319 350 352 385 400 406 427 440 464 488 550 560 580 596 610 616 638 671 700 725 745 770 800 809 812 854 880 928 976 1015 1043 1100 1120 1160 1192 1220 1232 1276 1342 1400 1450 1490 1525 1540 1595 1618 1624 1639 1708 1760 1769 1925 1952 2030 2086 2135 2200 2233 2320 2384 2440 2464 2552 2684 2800 2900 2980 3050 3080 3190 3236 3248 3278 3355 3416 3538 3725 3850 4045 4060 4172 4270 4321 4400 4466 4640 4697 4768 4880 5075 5104 5215 5368 5600 5663 5800 5960 6100 6160 6380 6472 6496 6556 6710 6832 7076 7450 7700 7975 8090 8120 8195 8344 8540 8642 8800 8845 8899 8932 9089 9394 9760 10150 10208 10430 10675 10736 11165 11326 11473 11600 11920 12200 12320 12383 12760 12944 13112 13420 13664 14152 14900 15400 15950 16180 16240 16390 16688 16775 17080 17284 17690 17798 17864 18178 18788 19459 20225 20300 20860 21350 21472 21605 22330 22652 22946 23200 23461 23485 23840 24400 24766 25520 25888 26075 26224 26840 28304 28315 29800 30247 30800 31900 32360 32480 32780 33376 33550 34160 34568 35380 35596 35728 36356 37576 38918 40450 40600 40975 41720 42700 43210 44225 44495 44660 45304 45445 45892 46922 46970 47531 48800 49349 49532 51040 52150 52448 53680 55825 56608 56630 57365 59600 60494 61600 61915 62293 63623 63800 64720 65560 67100 68320 69136 70760 71192 71456 72712 75152 77836 80900 81200 81950 83440 85400 86420 88450 88990 89320 90608 90890 91784 93844 93940 95062 97295 98698 99064 99979 104300 107360 108025 111650 113260 114730 117305 117425 119200 120541 120988 123830 124586 127246 127600 129440 131120 134200 136213 138272 141520 141575 142384 145424 150304 151235 155672 161800 162400 163900 164227 166880 170800 172840 176900 177980 178640 181216 181780 183568 187688 187880 190124 194590 197396 198128 199958 208600 216050 222475 223300 226520 227225 229460 234610 234850 237655 241082 241976 246745 247660 249172 254492 255200 258071 262240 263581 268400 272426 283040 283150 284768 286825 290848 302470 309575 311344 311465 318115 323600 327800 328454 332717 341600 345443 345680 353800 355960 357280 363560 367136 375376 375760 380248 389180 394792 396256 399916 417200 432100 444950 446600 453040 454450 458920 469220 469700 475310 482164 483952 486475 493490 495320 498344 499895 508984 516142 527162 536800 542839 544852 566300 573650 586525 602705 604940 619150 622688 622930 636230 647200 655600 656908 665434 681065 690886 691360 699853 707600 711920 727120 750752 751520 756175 760496 778360 789584 799832 821135 834400 843787 864200 889900 893200 906080 908900 917840 938440 939400 950620 964328 967904 972950 986980 990640 996688 999790 1017968 1032284 1054324 1085678 1089704 1132600 1147300 1173050 1188275 1205410 1209880 1233725 1238300 1245860 1272460 1290355 1311200 1313816 1317905 1325951 1330868 1362130 1381772 1399706 1415200 1423840 1431121 1454240 1512350 1520992 1556720 1557325 1579168 1590575 1599664 1642270 1663585 1687574 1727215 1728400 1779800 1786400 1806497 1817800 1835680 1845067 1876880 1878800 1901240 1928656 1945900 1973960 1981280 1993376 1999580 2035936 2064568 2108648 2171356 2179408 2265200 2294600 2346100 2376550 2410820 2419760 2467450 2476600 2491720 2499475 2544920 2580710 2627632 2635810 2651902 2661736 2714195 2724260 2763544 2799412 2862242 2899391 3013525 3024700 3113440 3114650 3181150 3199328 3284540 3327170 3375148 3405325 3454430 3456800 3495689 3499265 3559600 3612994 3635600 3690134 3753760 3757600 3799873 3802480 3857312 3891800 3947920 3999160 4105675 4129136 4217296 4218935 4342712 4358816 4530400 4589200 4692200 4753100 4821640 4839520 4934900 4953200 4983440 4998950 5089840 5161420 5255264 5271620 5303804 5323472 5428390 5448520 5527088 5598824 5724484 5798782 6027050 6049400 6229300 6362300 6451775 6569080 6589525 6629755 6654340 6750296 6810650 6908860 6991378 6998530 7119200 7155605 7225988 7271200 7353001 7380268 7599746 7604960 7783600 7895840 7998320 8211350 8258272 8317925 8434592 8437870 8636075 8685424 9032485 9178400 9225335 9281657 9384400 9506200 9643280 9869800 9906400 9966880 9997900 10017847 10179680 10322840 10543240 10607608 10646944 10856780 10897040 11054176 11197648 11448968 11597564 12054100 12098800 12458600 12724600 12903550 13138160 13179050 13259510 13308680 13500592 13570975 13621300 13817720 13982756 13997060 14311210 14451976 14496955 14706002 14760536 15199492 15567200 15742331 15996640 16422700 16635850 16875740 17272150 17370848 17478445 17496325 18064970 18450670 18563314 18768800 18999365 19012400 19286560 19739600 19995800 20035694 20295737 20645680 21086480 21094675 21215216 21713560 21794080 22395296 22897936 23195128 24108200 24197600 24469823 24917200 25449200 25807100 26276320 26358100 26519020 26617360 27001184 27141950 27242600 27635440 27965512 27994120 28622420 28903952 28993910 29412004 29521072 30398984 31484662 32845400 33148775 33271700 33751480 34544300 34956890 34992650 35778025 36129940 36765005 36901340 37126628 37998730 38024800 38452579 39479200 39991600 40071388 40591474 41291360 42172960 42189350 42430432 43427120 45162425 45795872 46126675 46390256 46408285 48216400 48939646 49834400 50089235 50898400 51471007 51614200 52716200 53038040 53234720 54283900 54485200 55270880 55931024 55988240 57244840 57807904 57987820 58824008 59042144 60797968 62969324 65690800 66297550 66543400 67502960 69088600 69913780 69985300 71556050 72259880 72484775 73530010 73802680 74253256 75997460 76905158 78711655 79983200 80142776 80883011 81182948 84378700 86854240 87392225 90324850 92253350 92780512 92816570 94996825 96432800 97879292 100178470 101478685 102942014 103228400 105432400 106076080 108567800 108970400 110196317 111862048 111976480 114489680 115975640 117648016 121595936 122349115 125938648 131381600 132595100 133086800 135005920 138177200 139827560 139970600 143112100 144519760 144969550 147060020 147605360 148506512 151994920 153810316 157423310 160285552 161766022 162365896 168757400 174784450 180649700 183825025 184506700 185633140 189993650 192262895 195758584 200356940 202957370 205884028 206456800 210864800 212152160 213237029 217135600 220392634 228979360 231951280 232041425 235296032 244698230 250446175 251877296 257355035 265190200 266173600 269168053 276354400 279655120 279941200 286224200 289039520 289939100 294120040 295210720 297013024 303989840 307620632 314846620 320571104 323532044 324731792 337514800 349568900 361299400 367650050 369013400 371266280 379987300 384525790 391517168 393558275 400713880 404415055 405914740 411768056 426474058 434271200 440785268 463902560 464082850 489396460 500892350 503754592 507393425 514710070 530380400 538336106 550981585 559310240 559882400 566181077 572448400 579878200 588240080 607979680 611745575 615241264 629693240 647064088 649463584 675029600 699137800 722598800 735300100 738026800 742532560 759974600 769051580 783034336 787116550 801427760 808830110 811829480 823536112 852948116 881570536 928165700 961314475 978792920 1001784700 1014786850 1029420140 1060760800 1066185145 1076672212 1101963170 1132362154 1144896800 1159756400 1176480160 1223491150 1230482528 1259386480 1286775175 1294128176 1345840265 1398275600 1445197600 1470600200 1476053600 1485065120 1492659203 1519949200 1538103160 1574233100 1602855520 1617660220 1623658960 1647072224 1705896232 1763141072 1856331400 1922628950 1957585840 2003569400 2022075275 2029573700 2058840280 2132370290 2153344424 2203926340 2264724308 2319512800 2345607319 2446982300 2518772960 2573550350 2588256352 2691680530 2754907925 2796551200 2830905385 2941200400 2985318406 3039898400 3076206320 3148466200 3235320440 3247317920 3411792464 3526282144 3712662800 3845257900 3915171680 4007138800 4044150550 4059147400 4117680560 4264740580 4306688848 4407852680 4529448616 4691214638 4893964600 5147100700 5330925725 5383361060 5509815850 5661810770 5882400800 5970636812 6152412640 6296932400 6470640880 6729201325 6823584928 7425325600 7463296015 7690515800 8014277600 8088301100 8118294800 8235361120 8529481160 8613377696 8815705360 9058897232 9382429276 9787929200 10294201400 10661851450 10766722120 11019631700 11323621540 11728036595 11941273624 12593864800 12941281760 13458402650 14154526925 14926592030 15381031600 16176602200 16236589600 16419251233 17058962320 17631410720 18117794464 18764858552 19575858400 20588402800 21323702900 21533444240 22039263400 22647243080 23456073190 23882547248 26916805300 28309053850 29853184060 30762063200 32353204400 32838502466 34117924640 37316480075 37529717104 41176805600 42647405800 43066888480 44078526800 45294486160 46912146380 47765094496 53833610600 56618107700 58640182975 59706368120 64706408800 65677004932 74632960150 75059434208 82096256165 85294811600 88157053600 90588972320 93824292760 107667221200 113236215400 117280365950 119412736240 131354009864 149265920300 164192512330 170589623200 187648585520 215334442400 226472430800 234560731900 238825472480 262708019728 298531840600 328385024660 375297171040 410481280825 452944861600 469121463800 525416039456 597063681200 656770049320 820962561650 938242927600 1194127362400 1313540098640 1641925123300 1876485855200 2627080197280 3283850246600 6567700493200 13135400986400
- Sum of all divisors σ(n): 42370413120000
- Sum of proper divisors (its aliquot sum) s(n): 29235012133600
- 13135400986400 is an abundant number, because the sum of its proper divisors (29235012133600) is greater than itself. Its abundance is 16099611147200
Bases of 13135400986400
- Binary: 101111110010010100101110100011100111001000002
- Hexadecimal: 0xBF252E8E720
- Base-36: 4NMBILNA8
Squares and roots of 13135400986400
- 13135400986400 squared (131354009864002) is 172538759073518092984960000
- 13135400986400 cubed (131354009864003) is 2266365786126521508712890504364544000000
-
The
square root of 13135400986400 is 3624279.3747723147 -
The
cube root of 13135400986400 is 23594.6991987309
Scales and comparisons
How big is 13135400986400?- 13,135,400,986,400 seconds is equal to 417,665 years, 6 weeks, 2 days, 13 minutes, 20 seconds.
-
To count from 1 to 13,135,400,986,400 would take you about one million, forty-four thousand, one hundred sixty-two 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 13135400986400 cubic inches would be around 1966.2 feet tall.
Recreational maths with 13135400986400
- 13135400986400 backwards is 00468900453131
- 13135400986400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13135400986400's digits is 44
- More coming soon!
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The information we have on file for 13135400986400 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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