13148081356800
13,148,081,356,800 is an even composite number composed of six prime numbers multiplied together.
13148081356800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13148081356800:
219 × 3 × 52 × 13 × 172 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 17 × 89)See below for interesting mathematical facts about the number 13148081356800 from the Numbermatics database.
Names of 13148081356800
- Cardinal: 13148081356800 can be written as Thirteen trillion, one hundred forty-eight billion, eighty-one million, three hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31480813568 × 1013
Factors of 13148081356800
Divisors of 13148081356800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 89 96 100 102 104 120 128 130 136 150 156 160 170 178 192 195 200 204 208 221 240 255 256 260 267 272 289 300 312 320 325 340 356 384 390 400 408 416 425 442 445 480 510 512 520 534 544 578 600 624 640 650 663 680 712 768 780 800 816 832 850 867 884 890 960 975 1020 1024 1040 1068 1088 1105 1156 1157 1200 1248 1275 1280 1300 1326 1335 1360 1424 1445 1513 1536 1560 1600 1632 1664 1700 1734 1768 1780 1920 1950 2040 2048 2080 2136 2176 2210 2225 2312 2314 2400 2496 2550 2560 2600 2652 2670 2720 2848 2890 3026 3072 3120 3200 3264 3315 3328 3400 3468 3471 3536 3560 3757 3840 3900 4080 4096 4160 4272 4335 4352 4420 4450 4539 4624 4628 4800 4992 5100 5120 5200 5304 5340 5440 5525 5696 5780 5785 6052 6144 6240 6400 6528 6630 6656 6675 6800 6936 6942 7072 7120 7225 7514 7565 7680 7800 8160 8192 8320 8544 8670 8704 8840 8900 9078 9248 9256 9600 9984 10200 10240 10400 10608 10680 10880 11050 11271 11392 11560 11570 12104 12288 12480 12800 13056 13260 13312 13350 13600 13872 13884 14144 14240 14450 15028 15130 15360 15600 16320 16384 16575 16640 17088 17340 17355 17408 17680 17800 18156 18496 18512 18785 19200 19669 19968 20400 20480 20800 21216 21360 21675 21760 22100 22542 22695 22784 23120 23140 24208 24576 24960 25600 25721 26112 26520 26624 26700 27200 27744 27768 28288 28480 28900 28925 30056 30260 30720 31200 32640 32768 33150 33280 34176 34680 34710 34816 35360 35600 36312 36992 37024 37570 37825 38400 39338 39936 40800 40960 41600 42432 42720 43350 43520 44200 45084 45390 45568 46240 46280 48416 49152 49920 51200 51442 52224 53040 53248 53400 54400 55488 55536 56355 56576 56960 57800 57850 59007 60112 60520 61440 62400 65280 65536 66300 66560 68352 69360 69420 69632 70720 71200 72624 73984 74048 75140 75650 76800 77163 78676 79872 81600 81920 83200 84864 85440 86700 86775 87040 88400 90168 90780 91136 92480 92560 93925 96832 98304 98345 99840 102400 102884 104448 106080 106496 106800 108800 110976 111072 112710 113152 113475 113920 115600 115700 118014 120224 121040 122880 124800 128605 130560 131072 132600 133120 136704 138720 138840 139264 141440 142400 145248 147968 148096 150280 151300 153600 154326 157352 159744 163200 163840 166400 169728 170880 173400 173550 174080 176800 180336 181560 182272 184960 185120 187850 193664 196608 196690 199680 204800 205768 208896 212160 212992 213600 217600 221952 222144 225420 226304 226950 227840 231200 231400 236028 240448 242080 245760 249600 257210 261120 262144 265200 266240 273408 277440 277680 278528 281775 282880 284800 290496 295035 295936 296192 300560 302600 307200 308652 314704 319488 326400 327680 332800 334373 339456 341760 346800 347100 348160 353600 360672 363120 364544 369920 370240 375700 385815 387328 393216 393380 399360 409600 411536 417792 424320 425984 427200 435200 443904 444288 450840 452608 453900 455680 462400 462800 472056 480896 484160 491520 491725 499200 514420 522240 524288 530400 532480 546816 554880 555360 557056 563550 565760 569600 580992 590070 591872 592384 601120 605200 614400 617304 629408 638976 643025 652800 655360 665600 668746 678912 683520 693600 694200 696320 707200 721344 726240 729088 739840 740480 751400 771630 774656 786432 786760 798720 819200 823072 835584 848640 851968 854400 870400 887808 888576 901680 905216 907800 911360 924800 925600 944112 961792 968320 983040 983450 998400 1003119 1028840 1044480 1060800 1064960 1093632 1109760 1110720 1114112 1127100 1131520 1139200 1161984 1180140 1183744 1184768 1202240 1210400 1228800 1234608 1258816 1277952 1286050 1305600 1310720 1331200 1337492 1357824 1367040 1387200 1388400 1392640 1414400 1442688 1452480 1458176 1475175 1479680 1480960 1502800 1543260 1549312 1572864 1573520 1597440 1638400 1646144 1671168 1671865 1697280 1703936 1708800 1740800 1775616 1777152 1803360 1810432 1815600 1822720 1849600 1851200 1888224 1923584 1929075 1936640 1966080 1966900 1996800 2006238 2057680 2088960 2121600 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88780800 88857600 90521600 92332032 92958720 94411200 94699520 94781440 96179200 98768640 99155968 100311900 100705280 102236160 105353216 106999360 108625920 109363200 111411200 113639424 113737728 115415040 115867648 116198400 116654080 118374400 118476800 120846336 123109376 123460800 123944960 125881600 127795200 128399232 131691520 133693440 133749200 135782400 139984896 142049280 142172160 144268800 144834560 145817600 148733952 151057920 151519232 151650304 153886720 154931200 158029824 160499040 161128448 164614400 167116800 170393600 171198976 173801472 174981120 177561600 177715200 181043200 184664064 185917440 188822400 189399040 189562880 192358400 197537280 198311936 200623800 201410560 210706432 213998720 217251840 218726400 222822400 227278848 227475456 230830080 232396800 233308160 236748800 236953600 241692672 246218752 246921600 247889920 251763200 255590400 256798464 263383040 267498400 271564800 284098560 284344320 288537600 289669120 291635200 297467904 302115840 303300608 307773440 309862400 316059648 320998080 322256896 329228800 334233600 342397952 347602944 349962240 355123200 355430400 362086400 369328128 371834880 377644800 378798080 379125760 384716800 395074560 396623872 401247600 402821120 421412864 427997440 434503680 437452800 454557696 454950912 461660160 464793600 473497600 473907200 483385344 492437504 493843200 495779840 503526400 511180800 513596928 526766080 534996800 543129600 568197120 568688640 577075200 579338240 583270400 594935808 604231680 606601216 615546880 619724800 632119296 641996160 644513792 658457600 668467200 684795904 699924480 710246400 710860800 724172800 738656256 743669760 755289600 757596160 758251520 769433600 790149120 793247744 802495200 805642240 842825728 855994880 869007360 874905600 909901824 923320320 929587200 946995200 947814400 966770688 984875008 987686400 991559680 1007052800 1027193856 1053532160 1069993600 1086259200 1136394240 1137377280 1154150400 1166540800 1189871616 1208463360 1231093760 1239449600 1264238592 1283992320 1289027584 1316915200 1369591808 1420492800 1421721600 1448345600 1477312512 1487339520 1510579200 1516503040 1538867200 1580298240 1604990400 1611284480 1685651456 1711989760 1738014720 1749811200 1819803648 1846640640 1859174400 1893990400 1895628800 1933541376 1969750016 1975372800 1983119360 2014105600 2054387712 2107064320 2139987200 2172518400 2272788480 2274754560 2308300800 2379743232 2416926720 2462187520 2478899200 2528477184 2567984640 2578055168 2633830400 2739183616 2840985600 2843443200 2896691200 2954625024 2974679040 3021158400 3033006080 3077734400 3160596480 3209980800 3222568960 3371302912 3423979520 3499622400 3693281280 3718348800 3787980800 3791257600 3867082752 3950745600 3966238720 4028211200 4108775424 4214128640 4279974400 4345036800 4549509120 4616601600 4833853440 4924375040 4957798400 5056954368 5135969280 5156110336 5267660800 5478367232 5681971200 5686886400 5909250048 5949358080 6042316800 6155468800 6321192960 6419961600 6445137920 6742605824 6847959040 7386562560 7436697600 7582515200 7734165504 7901491200 8056422400 8217550848 8428257280 8559948800 8690073600 9099018240 9233203200 9667706880 9848750080 9915596800 10113908736 10271938560 10312220672 10535321600 10956734464 11363942400 11373772800 11898716160 12084633600 12310937600 12642385920 12839923200 12890275840 13485211648 13695918080 14773125120 14873395200 15165030400 15468331008 15802982400 16112844800 16435101696 16856514560 17119897600 18466406400 19335413760 19831193600 20227817472 20543877120 21070643200 21913468928 22747545600 24169267200 24621875200 25284771840 25679846400 25780551680 27391836160 29546250240 29746790400 30936662016 31605964800 32225689600 32870203392 33713029120 34239795200 36932812800 38670827520 40455634944 41087754240 42141286400 43826937856 45495091200 48338534400 49243750400 50569543680 51359692800 51561103360 54783672320 59493580800 63211929600 64451379200 65740406784 67426058240 68479590400 73865625600 77341655040 82175508480 84282572800 87653875712 96677068800 101139087360 102719385600 109567344640 126423859200 128902758400 131480813568 136959180800 147731251200 154683310080 164351016960 168565145600 175307751424 193354137600 202278174720 205438771200 219134689280 252847718400 257805516800 262961627136 273918361600 328702033920 337130291200 386708275200 410877542400 438269378560 505695436800 525923254272 547836723200 657404067840 773416550400 821755084800 876538757120 1011390873600 1095673446400 1314808135680 1643510169600 2191346892800 2629616271360 3287020339200 4382693785600 6574040678400 13148081356800
- Sum of all divisors σ(n): 50295612906000
- Sum of proper divisors (its aliquot sum) s(n): 37147531549200
- 13148081356800 is an abundant number, because the sum of its proper divisors (37147531549200) is greater than itself. Its abundance is 23999450192400
Bases of 13148081356800
- Binary: 101111110101010001101011100000000000000000002
- Hexadecimal: 0xBF546B80000
- Base-36: 4NS585ZPC
Squares and roots of 13148081356800
- 13148081356800 squared (131480813568002) is 172872043365031728906240000
- 13148081356800 cubed (131480813568003) is 2272935690479694811872605799186432000000
-
The
square root of 13148081356800 is 3626028.3171536319 -
The
cube root of 13148081356800 is 23602.2892043497
Scales and comparisons
How big is 13148081356800?- 13,148,081,356,800 seconds is equal to 418,068 years, 16 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 13,148,081,356,800 would take you about one million, forty-five 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 13148081356800 cubic inches would be around 1966.9 feet tall.
Recreational maths with 13148081356800
- 13148081356800 backwards is 00865318084131
- 13148081356800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13148081356800's digits is 48
- More coming soon!
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The information we have on file for 13148081356800 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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