13131684230400
13,131,684,230,400 is an even composite number composed of six prime numbers multiplied together.
13131684230400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13131684230400:
28 × 35 × 52 × 29 × 491 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 29 × 491 × 593)See below for interesting mathematical facts about the number 13131684230400 from the Numbermatics database.
Names of 13131684230400
- Cardinal: 13131684230400 can be written as Thirteen trillion, one hundred thirty-one billion, six hundred eighty-four million, two hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.31316842304 × 1013
Factors of 13131684230400
Divisors of 13131684230400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 100 108 116 120 128 135 144 145 150 160 162 174 180 192 200 216 225 232 240 243 256 261 270 288 290 300 320 324 348 360 384 400 405 432 435 450 464 480 486 491 522 540 576 580 593 600 640 648 675 696 720 725 768 783 800 810 864 870 900 928 960 972 982 1044 1080 1152 1160 1186 1200 1215 1280 1296 1305 1350 1392 1440 1450 1473 1566 1600 1620 1728 1740 1779 1800 1856 1920 1944 1964 2025 2088 2160 2175 2304 2320 2349 2372 2400 2430 2455 2592 2610 2700 2784 2880 2900 2946 2965 3132 3200 3240 3456 3480 3558 3600 3712 3840 3888 3915 3928 4050 4176 4320 4350 4419 4640 4698 4744 4800 4860 4910 5184 5220 5337 5400 5568 5760 5800 5892 5930 6075 6264 6400 6480 6525 6912 6960 7047 7116 7200 7365 7424 7776 7830 7856 8100 8352 8640 8700 8838 8895 9280 9396 9488 9600 9720 9820 10368 10440 10674 10800 11136 11520 11600 11745 11784 11860 12150 12275 12528 12960 13050 13257 13920 14094 14232 14239 14400 14730 14825 15552 15660 15712 16011 16200 16704 17197 17280 17400 17676 17790 18560 18792 18976 19200 19440 19575 19640 20736 20880 21348 21600 22095 22272 23200 23490 23568 23720 24300 24550 25056 25920 26100 26514 26685 27840 28188 28464 28478 28800 29460 29650 31104 31320 31424 32022 32400 33408 34394 34560 34800 35235 35352 35580 36825 37120 37584 37952 38880 39150 39280 39771 41760 42696 42717 43200 44190 44475 46400 46980 47136 47440 48033 48600 49100 50112 51591 51840 52200 53028 53370 55680 56376 56928 56956 57600 58725 58920 59300 62208 62640 62848 64044 64800 66285 66816 68788 69600 70470 70704 71160 71195 73650 75168 75904 77760 78300 78560 79542 80055 83520 85392 85434 85985 86400 88380 88950 92800 93960 94272 94880 96066 97200 98200 100224 103182 103680 104400 106056 106740 110475 111360 112752 113856 113912 117450 117840 118600 119313 125280 125696 128088 128151 129600 132570 133425 137576 139200 140940 141408 142320 142390 144099 147300 150336 151808 154773 155520 156600 157120 159084 160110 167040 170784 170868 171970 172800 176175 176760 177900 185600 187920 188544 189760 192132 194400 196400 198855 200448 206364 208800 212112 213480 213585 220950 225504 227712 227824 234900 235680 237200 238626 240165 250560 256176 256302 257955 259200 265140 266850 275152 278400 281880 282816 284640 284780 288198 291163 294600 300672 309546 311040 313200 314240 318168 320220 331425 334080 341568 341736 343940 352350 353520 355800 355975 375840 377088 379520 384264 384453 388800 392800 397710 400275 412728 417600 424224 426960 427170 429925 441900 451008 455424 455648 464319 469800 471360 474400 477252 480330 501120 512352 512604 515910 518400 530280 533700 550304 556800 563760 565632 569280 569560 576396 582326 589200 596565 601344 619092 626400 628480 636336 640440 640755 662850 683136 683472 687880 704700 707040 711600 711950 720495 751680 759040 768528 768906 773865 777600 785600 795420 800550 825456 835200 848448 853920 854340 859850 873489 883800 902016 911296 928638 939600 942720 948800 954504 960660 994275 1002240 1024704 1025208 1031820 1060560 1067400 1067925 1100608 1127520 1131264 1138560 1139120 1152792 1153359 1164652 1178400 1193130 1200825 1238184 1252800 1272672 1280880 1281510 1289775 1325700 1366272 1366944 1375760 1392957 1409400 1414080 1423200 1423900 1440990 1455815 1503360 1537056 1537812 1547730 1555200 1571200 1590840 1601100 1650912 1670400 1696896 1707840 1708680 1719700 1746978 1767600 1804032 1822592 1857276 1879200 1885440 1897600 1909008 1921320 1922265 1988550 2049408 2050416 2063640 2121120 2134800 2135850 2201216 2255040 2277120 2278240 2305584 2306718 2321595 2329304 2356800 2386260 2401650 2476368 2505600 2545344 2561760 2563020 2579550 2620467 2651400 2733888 2751520 2785914 2818800 2828160 2846400 2847800 2881980 2911630 2982825 3006720 3074112 3075624 3095460 3142400 3181680 3202200 3203775 3301824 3393792 3415680 3417360 3439400 3460077 3493956 3535200 3602475 3645184 3714552 3758400 3795200 3818016 3842640 3844530 3869325 3977100 4098816 4100832 4127280 4178871 4242240 4269600 4271700 4367445 4402432 4510080 4556480 4611168 4613436 4643190 4658608 4713600 4772520 4803300 4952736 5011200 5090688 5123520 5126040 5159100 5240934 5302800 5467776 5503040 5571828 5637600 5656320 5692800 5695600 5763960 5766795 5823260 5965650 6148224 6151248 6190920 6363360 6404400 6407550 6603648 6831360 6834720 6878800 6920154 6964785 6987912 7070400 7204950 7279075 7429104 7516800 7636032 7685280 7689060 7738650 7861401 7954200 8201664 8254560 8357742 8443727 8484480 8539200 8543400 8734890 9020160 9112960 9222336 9226872 9286380 9317216 9427200 9545040 9606600 9611325 9905472 10181376 10247040 10252080 10318200 10481868 10605600 10935552 11006080 11143656 11275200 11385600 11391200 11527920 11533590 11607975 11646520 11931300 12296448 12302496 12381840 12726720 12808800 12815100 13102335 13207296 13669440 13757600 13840308 13929570 13975824 14140800 14409900 14558150 14858208 15033600 15272064 15370560 15378120 15477300 15722802 15908400 16403328 16509120 16715484 16887454 16968960 17078400 17086800 17300385 17469780 18225920 18444672 18453744 18572760 18634432 19090080 19213200 19222650 19810944 20494080 20504160 20636400 20894355 20963736 21211200 21837225 22012160 22287312 22550400 22782400 23055840 23067180 23215950 23293040 23584203 23862600 24604992 24763680 25331181 25453440 25617600 25630200 26204670 27338880 27515200 27680616 27859140 27951648 28281600 28819800 28833975 29116300 29716416 30544128 30741120 30756240 30954600 31445604 31816800 32806656 33018240 33430968 33774908 34156800 34173600 34600770 34823925 34939560 36889344 36907488 37145520 37268864 38180160 38426400 38445300 39307005 39621888 41008320 41272800 41788710 41927472 42218635 42422400 43674450 44574624 45100800 45564800 46111680 46134360 46431900 46586080 47168406 47725200 49209984 49527360 50662362 50906880 51235200 51260400 52409340 54677760 55030400 55361232 55718280 55903296 57639600 57667950 58232600 59432832 61482240 61512480 61909200 62891208 63633600 65511675 66036480 66861936 67549816 68347200 69201540 69647850 69879120 70752609 73814976 74291040 74537728 75993543 76360320 76852800 76890600 78614010 82016640 82545600 83577420 83854944 84437270 84844800 86501925 87348900 89149248 91129600 92223360 92268720 92863800 93172160 94336812 95450400 98419968 99054720 101324724 102470400 102520800 104471775 104818680 110060800 110722464 111436560 111806592 115279200 115335900 116465200 117921015 118865664 123024960 123818400 125782416 126655905 127267200 131023350 133723872 135099632 136694400 138403080 139295700 139758240 141505218 147629952 148582080 151987086 152720640 153705600 153781200 157228020 164033280 165091200 167154840 167709888 168874540 173003850 174697800 178298496 184446720 184537440 185727600 186344320 188673624 190900800 196535025 198109440 202649448 205041600 208943550 209637360 211093175 221444928 222873120 223613184 227980629 230558400 230671800 232930400 235842030 246049920 247636800 251564832 253311810 254534400 262046700 267447744 270199264 273388800 276806160 278591400 279516480 283010436 295259904 297164160 303974172 307411200 307562400 314456040 330182400 334309680 335419776 337749080 346007700 349395600 353763045 356596992 369074880 371455200 372688640 377347248 379967715 381801600 393070050 405298896 410083200 417887100 419274720 422186350 442889856 445746240 455961258 461116800 461343600 465860800 471684060 492099840 495273600 503129664 506623620 524093400 534895488 540398528 553612320 557182800 559032960 566020872 589605075 594328320 607948344 615124800 628912080 633279525 668619360 670839552 675498160 683941887 692015400 698791200 707526090 738149760 742910400 754694496 759935430 763603200 786140100 810597792 820166400 835774200 838549440 844372700 885779712 891492480 911922516 922233600 922687200 931721600 943368120 990547200 1006259328 1013247240 1048186800 1069790976 1080797056 1107224640 1114365600 1118065920 1132041744 1139903145 1179210150 1215896688 1230249600 1257824160 1266559050 1337238720 1350996320 1367883774 1384030800 1397582400 1415052180 1476299520 1485820800 1509388992 1519870860 1572280200 1621195584 1671548400 1677098880 1688745400 1768815225 1782984960 1823845032 1845374400 1863443200 1886736240 1899838575 2012518656 2026494480 2051825661 2096373600 2161594112 2214449280 2228731200 2264083488 2279806290 2358420300 2431793376 2460499200 2515648320 2533118100 2674477440 2701992640 2735767548 2768061600 2795164800 2830104360 2971641600 3018777984 3039741720 3144560400 3242391168 3343096800 3354197760 3377490800 3419709435 3537630450 3647690064 3690748800 3773472480 3799677150 4052988960 4103651322 4192747200 4428898560 4457462400 4528166976 4559612580 4716840600 4863586752 5031296640 5066236200 5348954880 5403985280 5471535096 5536123200 5590329600 5660208720 5699515725 6037555968 6079483440 6289120800 6484782336 6686193600 6754981600 6839418870 7075260900 7295380128 7381497600 7546944960 7599354300 8105977920 8207302644 8385494400 8914924800 9056333952 9119225160 9433681200 9727173504 10062593280 10132472400 10259128305 10807970560 10943070192 11072246400 11320417440 11399031450 12158966880 12578241600 13372387200 13509963200 13678837740 14150521800 14590760256 15093889920 15198708600 16211955840 16414605288 16770988800 17098547175 18112667904 18238450320 18867362400 19454347008 20264944800 20518256610 21886140384 22144492800 22640834880 22798062900 24317933760 25156483200 26744774400 27019926400 27357675480 28301043600 29181520512 30187779840 30397417200 32423911680 32829210576 34197094350 36476900640 37734724800 40529889600 41036513220 43772280768 45281669760 45596125800 48635867520 50312966400 51295641525 54039852800 54715350960 56602087200 58363041024 60794834400 65658421152 68394188700 72953801280 75469449600 81059779200 82073026440 87544561536 90563339520 91192251600 97271735040 102591283050 109430701920 113204174400 121589668800 131316842304 136788377400 145907602560 150938899200 162119558400 164146052880 175089123072 182384503200 205182566100 218861403840 226408348800 243179337600 262633684608 273576754800 291815205120 328292105760 364769006400 410365132200 437722807680 452816697600 486358675200 525267369216 547153509600 656584211520 729538012800 820730264400 875445615360 1094307019200 1313168423040 1459076025600 1641460528800 2188614038400 2626336846080 3282921057600 4377228076800 6565842115200 13131684230400
- Sum of all divisors σ(n): 50554146202560
- Sum of proper divisors (its aliquot sum) s(n): 37422461972160
- 13131684230400 is an abundant number, because the sum of its proper divisors (37422461972160) is greater than itself. Its abundance is 24290777741760
Bases of 13131684230400
- Binary: 101111110001011101010101111110110101000000002
- Hexadecimal: 0xBF1755FB500
- Base-36: 4NKM1QO00
Squares and roots of 13131684230400
- 13131684230400 squared (131316842304002) is 172441130726936040284160000
- 13131684230400 cubed (131316842304003) is 2264442477039250888708923006910464000000
-
The
square root of 13131684230400 is 3623766.5805622747 -
The
cube root of 13131684230400 is 23592.4735589609
Scales and comparisons
How big is 13131684230400?- 13,131,684,230,400 seconds is equal to 417,546 years, 48 weeks, 6 days.
-
To count from 1 to 13,131,684,230,400 would take you about one million, forty-three thousand, eight 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 13131684230400 cubic inches would be around 1966 feet tall.
Recreational maths with 13131684230400
- 13131684230400 backwards is 00403248613131
- 13131684230400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13131684230400's digits is 36
- More coming soon!
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The information we have on file for 13131684230400 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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