13086401331200
13,086,401,331,200 is an even composite number composed of five prime numbers multiplied together.
13086401331200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13086401331200:
215 × 52 × 17 × 193 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 19 × 19 × 19 × 137)See below for interesting mathematical facts about the number 13086401331200 from the Numbermatics database.
Names of 13086401331200
- Cardinal: 13086401331200 can be written as Thirteen trillion, eighty-six billion, four hundred one million, three hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.30864013312 × 1013
Factors of 13086401331200
Divisors of 13086401331200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 64 68 76 80 85 95 100 128 136 137 152 160 170 190 200 256 272 274 304 320 323 340 361 380 400 425 475 512 544 548 608 640 646 680 685 722 760 800 850 950 1024 1088 1096 1216 1280 1292 1360 1370 1444 1520 1600 1615 1700 1805 1900 2048 2176 2192 2329 2432 2560 2584 2603 2720 2740 2888 3040 3200 3230 3400 3425 3610 3800 4096 4352 4384 4658 4864 5120 5168 5206 5440 5480 5776 6080 6137 6400 6460 6800 6850 6859 7220 7600 8075 8192 8704 8768 9025 9316 9728 10240 10336 10412 10880 10960 11552 11645 12160 12274 12800 12920 13015 13600 13700 13718 14440 15200 16150 16384 17408 17536 18050 18632 19456 20480 20672 20824 21760 21920 23104 23290 24320 24548 25600 25840 26030 27200 27400 27436 28880 30400 30685 32300 32768 34295 34816 35072 36100 37264 38912 40960 41344 41648 43520 43840 44251 46208 46580 48640 49096 49457 51200 51680 52060 54400 54800 54872 57760 58225 60800 61370 64600 65075 68590 69632 70144 72200 74528 77824 81920 82688 83296 87040 87680 88502 92416 93160 97280 98192 98914 102400 103360 104120 108800 109600 109744 115520 116450 116603 121600 122740 129200 130150 137180 139264 140288 144400 149056 153425 155648 163840 165376 166592 171475 174080 175360 177004 184832 186320 194560 196384 197828 204800 206720 208240 217600 219200 219488 221255 231040 232900 233206 243200 245480 247285 258400 260300 274360 278528 280576 288800 298112 306850 311296 330752 333184 342950 348160 350720 354008 369664 372640 389120 392768 395656 409600 413440 416480 435200 438400 438976 442510 462080 465800 466412 486400 490960 494570 516800 520600 548720 557056 561152 577600 583015 596224 613700 622592 661504 666368 685900 696320 701440 708016 739328 745280 778240 785536 791312 819200 826880 832960 840769 870400 876800 877952 885020 924160 931600 932824 939683 972800 981920 989140 1033600 1041200 1097440 1106275 1122304 1155200 1166030 1192448 1227400 1236425 1323008 1332736 1371800 1392640 1402880 1416032 1478656 1490560 1556480 1571072 1582624 1653760 1665920 1681538 1740800 1753600 1755904 1770040 1848320 1863200 1865648 1879366 1945600 1963840 1978280 2067200 2082400 2194880 2212550 2244608 2310400 2332060 2384896 2454800 2472850 2646016 2665472 2743600 2785280 2805760 2832064 2915075 2957312 2981120 3112960 3142144 3165248 3307520 3331840 3363076 3481600 3507200 3511808 3540080 3696640 3726400 3731296 3758732 3891200 3927680 3956560 4134400 4164800 4203845 4389760 4425100 4489216 4620800 4664120 4698415 4769792 4909600 4945700 5292032 5330944 5487200 5611520 5664128 5830150 5914624 5962240 6284288 6330496 6615040 6663680 6726152 6963200 7014400 7023616 7080160 7393280 7452800 7462592 7517464 7782400 7855360 7913120 8268800 8329600 8407690 8779520 8850200 9241600 9328240 9396830 9539584 9819200 9891400 10584064 10661888 10974400 11223040 11328256 11660300 11829248 11924480 12568576 12660992 13230080 13327360 13452304 13926400 14028800 14047232 14160320 14786560 14905600 14925184 15034928 15564800 15710720 15826240 15974611 16537600 16659200 16815380 17559040 17700400 18483200 18656480 18793660 19079168 19638400 19782800 21019225 21323776 21948800 22446080 22656512 23320600 23492075 23848960 25137152 25321984 26460160 26654720 26904608 28057600 28094464 28320640 29573120 29811200 29850368 30069856 31421440 31652480 31949222 33075200 33318400 33630760 35118080 35400800 36966400 37312960 37587320 38158336 39276800 39565600 42038450 42647552 43897600 45313024 46641200 46984150 47697920 50274304 50643968 52920320 53309440 53809216 56115200 56188928 56641280 59146240 59622400 59700736 60139712 62842880 63304960 63898444 66150400 66636800 67261520 70236160 70801600 73932800 74625920 75174640 76316672 78553600 79131200 79873055 84076900 85295104 87795200 90626048 93282400 93968300 95395840 100548608 101287936 106618880 107618432 112230400 112377856 113282560 119244800 119401472 120279424 125685760 126609920 127796888 132300800 133273600 134523040 140472320 141603200 147865600 149251840 150349280 157107200 158262400 159746110 168153800 175590400 181252096 186564800 187936600 190791680 201097216 202575872 213237760 215236864 224755712 226565120 238489600 238802944 240558848 251371520 253219840 255593776 264601600 266547200 269046080 280944640 283206400 295731200 298503680 300698560 314214400 316524800 319492220 336307600 351180800 362504192 373129600 375873200 381583360 399365275 405151744 426475520 430473728 453130240 476979200 477605888 481117696 502743040 506439680 511187552 533094400 538092160 561889280 566412800 597007360 601397120 628428800 633049600 638984440 672615200 702361600 725008384 746259200 751746400 798730550 810303488 860947456 906260480 953958400 955211776 962235392 1005486080 1012879360 1022375104 1066188800 1076184320 1123778560 1132825600 1194014720 1202794240 1256857600 1266099200 1277968880 1345230400 1404723200 1450016768 1492518400 1503492800 1597461100 1620606976 1721894912 1812520960 1907916800 1910423552 1924470784 2025758720 2044750208 2132377600 2152368640 2265651200 2388029440 2405588480 2513715200 2532198400 2555937760 2690460800 2809446400 2985036800 3006985600 3194922200 3443789824 3625041920 3820847104 3848941568 4051517440 4089500416 4304737280 4531302400 4776058880 4811176960 5027430400 5064396800 5111875520 5380921600 5618892800 5970073600 6013971200 6389844400 6887579648 7250083840 7697883136 8103034880 8179000832 8609474560 9062604800 9552117760 9622353920 10128793600 10223751040 10761843200 11940147200 12027942400 12779688800 13775159296 15395766272 16358001664 17218949120 18125209600 19104235520 19244707840 20257587200 20447502080 21523686400 23880294400 24055884800 25559377600 27550318592 30791532544 32716003328 34437898240 36250419200 38489415680 40515174400 40895004160 43047372800 47760588800 48111769600 51118755200 65432006656 68875796480 76978831360 81790008320 86094745600 95521177600 96223539200 102237510400 130864013312 137751592960 153957662720 163580016640 172189491200 192447078400 204475020800 261728026624 327160033280 344378982400 384894156800 408950041600 523456053248 654320066560 688757964800 769788313600 817900083200 1308640133120 1635800166400 2617280266240 3271600332800 6543200665600 13086401331200
- Sum of all divisors σ(n): 36536349693600
- Sum of proper divisors (its aliquot sum) s(n): 23449948362400
- 13086401331200 is an abundant number, because the sum of its proper divisors (23449948362400) is greater than itself. Its abundance is 10363547031200
Bases of 13086401331200
- Binary: 101111100110111010100100110110000000000000002
- Hexadecimal: 0xBE6EA4D8000
- Base-36: 4MZT5GZCW
Squares and roots of 13086401331200
- 13086401331200 squared (130864013312002) is 171253899801233132093440000
- 13086401331200 cubed (130864013312003) is 2241097262332048675229138658787328000000
-
The
square root of 13086401331200 is 3617513.1418144151 -
The
cube root of 13086401331200 is 23565.3238055713
Scales and comparisons
How big is 13086401331200?- 13,086,401,331,200 seconds is equal to 416,107 years, 4 weeks, 2 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,086,401,331,200 would take you about one million, forty thousand, two hundred sixty-seven 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 13086401331200 cubic inches would be around 1963.8 feet tall.
Recreational maths with 13086401331200
- 13086401331200 backwards is 00213310468031
- 13086401331200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13086401331200's digits is 32
- More coming soon!
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The information we have on file for 13086401331200 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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