13006946304000
13,006,946,304,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 13006946304000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1944 divisors.
13006946304000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13006946304000:
217 × 38 × 53 × 112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11)See below for interesting mathematical facts about the number 13006946304000 from the Numbermatics database.
Names of 13006946304000
- Cardinal: 13006946304000 can be written as Thirteen trillion, six billion, nine hundred forty-six million, three hundred four thousand.
Scientific notation
- Scientific notation: 1.3006946304 × 1013
Factors of 13006946304000
Divisors of 13006946304000
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 243 250 256 264 270 275 288 297 300 320 324 330 352 360 363 375 384 396 400 405 432 440 450 480 484 486 495 500 512 528 540 550 576 594 600 605 640 648 660 675 704 720 726 729 750 768 792 800 810 825 864 880 891 900 960 968 972 990 1000 1024 1056 1080 1089 1100 1125 1152 1188 1200 1210 1215 1280 1296 1320 1350 1375 1408 1440 1452 1458 1485 1500 1536 1584 1600 1620 1650 1728 1760 1782 1800 1815 1920 1936 1944 1980 2000 2025 2048 2112 2160 2178 2187 2200 2250 2304 2376 2400 2420 2430 2475 2560 2592 2640 2673 2700 2750 2816 2880 2904 2916 2970 3000 3025 3072 3168 3200 3240 3267 3300 3375 3456 3520 3564 3600 3630 3645 3840 3872 3888 3960 4000 4050 4096 4125 4224 4320 4356 4374 4400 4455 4500 4608 4752 4800 4840 4860 4950 5120 5184 5280 5346 5400 5445 5500 5632 5760 5808 5832 5940 6000 6050 6075 6144 6336 6400 6480 6534 6561 6600 6750 6912 7040 7128 7200 7260 7290 7425 7680 7744 7776 7920 8000 8019 8100 8192 8250 8448 8640 8712 8748 8800 8910 9000 9075 9216 9504 9600 9680 9720 9801 9900 10125 10240 10368 10560 10692 10800 10890 10935 11000 11264 11520 11616 11664 11880 12000 12100 12150 12288 12375 12672 12800 12960 13068 13122 13200 13365 13500 13824 14080 14256 14400 14520 14580 14850 15125 15360 15488 15552 15840 16000 16038 16200 16335 16384 16500 16896 17280 17424 17496 17600 17820 18000 18150 18225 18432 19008 19200 19360 19440 19602 19800 20250 20480 20736 21120 21384 21600 21780 21870 22000 22275 22528 23040 23232 23328 23760 24000 24057 24200 24300 24576 24750 25344 25600 25920 26136 26244 26400 26730 27000 27225 27648 28160 28512 28800 29040 29160 29403 29700 30250 30375 30720 30976 31104 31680 32000 32076 32400 32670 32768 32805 33000 33792 34560 34848 34992 35200 35640 36000 36300 36450 36864 37125 38016 38400 38720 38880 39204 39600 40095 40500 40960 41472 42240 42768 43200 43560 43740 44000 44550 45056 45375 46080 46464 46656 47520 48000 48114 48400 48600 49005 49152 49500 50688 51200 51840 52272 52488 52800 53460 54000 54450 54675 55296 56320 57024 57600 58080 58320 58806 59400 60500 60750 61440 61952 62208 63360 64000 64152 64800 65340 65536 65610 66000 66825 67584 69120 69696 69984 70400 71280 72000 72171 72600 72900 73728 74250 76032 76800 77440 77760 78408 79200 80190 81000 81675 81920 82944 84480 85536 86400 87120 87480 88000 88209 89100 90112 90750 91125 92160 92928 93312 95040 96000 96228 96800 97200 98010 98304 99000 101376 102400 103680 104544 104976 105600 106920 108000 108900 109350 110592 111375 112640 114048 115200 116160 116640 117612 118800 120285 121000 121500 122880 123904 124416 126720 128000 128304 129600 130680 131072 131220 132000 133650 135168 136125 138240 139392 139968 140800 142560 144000 144342 145200 145800 147015 147456 148500 152064 153600 154880 155520 156816 158400 160380 162000 163350 163840 164025 165888 168960 171072 172800 174240 174960 176000 176418 178200 180224 181500 182250 184320 185856 186624 190080 192000 192456 193600 194400 196020 196608 198000 200475 202752 204800 207360 209088 209952 211200 213840 216000 217800 218700 221184 222750 225280 228096 230400 232320 233280 235224 237600 240570 242000 243000 245025 245760 247808 248832 253440 256000 256608 259200 261360 262440 264000 264627 267300 270336 272250 273375 276480 278784 279936 281600 285120 288000 288684 290400 291600 294030 294912 297000 304128 307200 309760 311040 313632 316800 320760 324000 326700 327680 328050 331776 334125 337920 342144 345600 348480 349920 352000 352836 356400 360448 360855 363000 364500 368640 371712 373248 380160 384000 384912 387200 388800 392040 393216 396000 400950 405504 408375 409600 414720 418176 419904 422400 427680 432000 435600 437400 441045 442368 445500 450560 456192 460800 464640 466560 470448 475200 481140 484000 486000 490050 491520 495616 497664 506880 512000 513216 518400 522720 524880 528000 529254 534600 540672 544500 546750 552960 557568 559872 563200 570240 576000 577368 580800 583200 588060 589824 594000 601425 608256 614400 619520 622080 627264 633600 641520 648000 653400 655360 656100 663552 668250 675840 684288 691200 696960 699840 704000 705672 712800 720896 721710 726000 729000 735075 737280 743424 746496 760320 768000 769824 774400 777600 784080 792000 793881 801900 811008 816750 819200 820125 829440 836352 839808 844800 855360 864000 871200 874800 882090 884736 891000 901120 912384 921600 929280 933120 940896 950400 962280 968000 972000 980100 983040 991232 995328 1002375 1013760 1024000 1026432 1036800 1045440 1049760 1056000 1058508 1069200 1081344 1089000 1093500 1105920 1115136 1119744 1126400 1140480 1152000 1154736 1161600 1166400 1176120 1179648 1188000 1202850 1216512 1225125 1228800 1239040 1244160 1254528 1267200 1283040 1296000 1306800 1312200 1323135 1327104 1336500 1351680 1368576 1382400 1393920 1399680 1408000 1411344 1425600 1441792 1443420 1452000 1458000 1470150 1474560 1486848 1492992 1520640 1536000 1539648 1548800 1555200 1568160 1584000 1587762 1603800 1622016 1633500 1638400 1640250 1658880 1672704 1679616 1689600 1710720 1728000 1742400 1749600 1764180 1769472 1782000 1802240 1804275 1824768 1843200 1858560 1866240 1881792 1900800 1924560 1936000 1944000 1960200 1966080 1982464 1990656 2004750 2027520 2048000 2052864 2073600 2090880 2099520 2112000 2117016 2138400 2162688 2178000 2187000 2205225 2211840 2230272 2239488 2252800 2280960 2304000 2309472 2323200 2332800 2352240 2376000 2405700 2433024 2450250 2457600 2478080 2488320 2509056 2534400 2566080 2592000 2613600 2624400 2646270 2654208 2673000 2703360 2737152 2764800 2787840 2799360 2816000 2822688 2851200 2886840 2904000 2916000 2940300 2949120 2973696 2985984 3007125 3041280 3072000 3079296 3097600 3110400 3136320 3168000 3175524 3207600 3244032 3267000 3276800 3280500 3317760 3345408 3359232 3379200 3421440 3456000 3484800 3499200 3528360 3538944 3564000 3604480 3608550 3649536 3675375 3686400 3717120 3732480 3763584 3801600 3849120 3872000 3888000 3920400 3964928 3969405 3981312 4009500 4055040 4096000 4105728 4147200 4181760 4199040 4224000 4234032 4276800 4325376 4356000 4374000 4410450 4423680 4460544 4478976 4505600 4561920 4608000 4618944 4646400 4665600 4704480 4752000 4811400 4866048 4900500 4915200 4956160 4976640 5018112 5068800 5132160 5184000 5227200 5248800 5292540 5308416 5346000 5406720 5474304 5529600 5575680 5598720 5632000 5645376 5702400 5773680 5808000 5832000 5880600 5898240 5947392 5971968 6014250 6082560 6144000 6158592 6195200 6220800 6272640 6336000 6351048 6415200 6488064 6534000 6561000 6615675 6635520 6690816 6718464 6758400 6842880 6912000 6969600 6998400 7056720 7128000 7208960 7217100 7299072 7350750 7372800 7434240 7464960 7527168 7603200 7698240 7744000 7776000 7840800 7929856 7938810 7962624 8019000 8110080 8192000 8211456 8294400 8363520 8398080 8448000 8468064 8553600 8712000 8748000 8820900 8847360 8921088 8957952 9011200 9021375 9123840 9216000 9237888 9292800 9331200 9408960 9504000 9622800 9732096 9801000 9830400 9912320 9953280 10036224 10137600 10264320 10368000 10454400 10497600 10585080 10616832 10692000 10813440 10948608 11026125 11059200 11151360 11197440 11264000 11290752 11404800 11547360 11616000 11664000 11761200 11894784 11943936 12028500 12165120 12288000 12317184 12390400 12441600 12545280 12672000 12702096 12830400 12976128 13068000 13122000 13231350 13271040 13381632 13436928 13516800 13685760 13824000 13939200 13996800 14113440 14256000 14434200 14598144 14701500 14745600 14868480 14929920 15054336 15206400 15396480 15488000 15552000 15681600 15859712 15877620 15925248 16038000 16220160 16384000 16422912 16588800 16727040 16796160 16896000 16936128 17107200 17424000 17496000 17641800 17694720 17842176 17915904 18022400 18042750 18247680 18432000 18475776 18585600 18662400 18817920 19008000 19245600 19464192 19602000 19824640 19847025 19906560 20072448 20275200 20528640 20736000 20908800 20995200 21170160 21384000 21626880 21897216 22052250 22118400 22302720 22394880 22528000 22581504 22809600 23094720 23232000 23328000 23522400 23789568 23887872 24057000 24330240 24576000 24634368 24780800 24883200 25090560 25344000 25404192 25660800 26136000 26244000 26462700 26542080 26763264 26873856 27033600 27371520 27648000 27878400 27993600 28226880 28512000 28868400 29196288 29403000 29491200 29736960 29859840 30108672 30412800 30792960 30976000 31104000 31363200 31755240 31850496 32076000 32440320 32845824 33078375 33177600 33454080 33592320 33792000 33872256 34214400 34848000 34992000 35283600 35684352 35831808 36044800 36085500 36495360 36864000 36951552 37171200 37324800 37635840 38016000 38491200 38928384 39204000 39649280 39694050 39813120 40144896 40550400 41057280 41472000 41817600 41990400 42340320 42768000 43794432 44104500 44236800 44605440 44789760 45056000 45163008 45619200 46189440 46464000 46656000 47044800 47579136 47775744 48114000 48660480 49152000 49268736 49561600 49766400 50181120 50688000 50808384 51321600 52272000 52488000 52925400 53084160 53526528 53747712 54067200 54743040 55296000 55756800 55987200 56453760 57024000 57736800 58392576 58806000 59473920 59719680 60217344 60825600 61585920 61952000 62208000 62726400 63510480 64152000 64880640 65691648 66156750 66355200 66908160 67184640 67584000 67744512 68428800 69696000 69984000 70567200 71368704 71663616 72171000 72990720 73728000 73903104 74342400 74649600 75271680 76032000 76982400 78408000 79298560 79388100 79626240 80289792 81100800 82114560 82944000 83635200 83980800 84680640 85536000 87588864 88209000 88473600 89210880 89579520 90112000 90326016 91238400 92378880 92928000 93312000 94089600 95551488 96228000 97320960 98537472 99123200 99235125 99532800 100362240 101376000 101616768 102643200 104544000 104976000 105850800 107053056 107495424 108134400 109486080 110592000 111513600 111974400 112907520 114048000 115473600 116785152 117612000 118947840 119439360 120434688 121651200 123171840 123904000 124416000 125452800 127020960 128304000 131383296 132313500 132710400 133816320 134369280 135168000 135489024 136857600 139392000 139968000 141134400 142737408 143327232 144342000 145981440 147456000 147806208 148684800 149299200 150543360 152064000 153964800 156816000 158776200 159252480 160579584 162201600 164229120 165888000 167270400 167961600 169361280 171072000 175177728 176418000 178421760 179159040 180224000 180652032 182476800 184757760 185856000 186624000 188179200 192456000 194641920 197074944 198246400 198470250 199065600 200724480 202752000 203233536 205286400 209088000 209952000 211701600 214106112 214990848 218972160 221184000 223027200 223948800 225815040 228096000 230947200 235224000 237895680 238878720 240869376 243302400 246343680 247808000 248832000 250905600 254041920 256608000 262766592 264627000 265420800 267632640 268738560 270336000 270978048 273715200 278784000 279936000 282268800 286654464 288684000 291962880 295612416 297369600 298598400 301086720 304128000 307929600 313632000 317552400 321159168 324403200 328458240 331776000 334540800 335923200 338722560 342144000 350355456 352836000 356843520 358318080 361304064 364953600 369515520 371712000 373248000 376358400 384912000 394149888 396492800 396940500 398131200 401448960 405504000 406467072 410572800 418176000 419904000 423403200 428212224 429981696 437944320 442368000 446054400 447897600 451630080 456192000 461894400 470448000 477757440 481738752 486604800 492687360 495616000 497664000 501811200 508083840 513216000 525533184 529254000 535265280 537477120 540672000 541956096 547430400 557568000 559872000 564537600 577368000 583925760 591224832 594739200 597196800 602173440 608256000 615859200 627264000 635104800 642318336 656916480 663552000 669081600 671846400 677445120 684288000 705672000 713687040 716636160 722608128 729907200 739031040 743424000 746496000 752716800 769824000 788299776 793881000 796262400 802897920 811008000 812934144 821145600 836352000 839808000 846806400 859963392 875888640 892108800 895795200 903260160 912384000 923788800 940896000 963477504 973209600 985374720 991232000 995328000 1003622400 1016167680 1026432000 1051066368 1058508000 1070530560 1074954240 1083912192 1094860800 1115136000 1119744000 1129075200 1154736000 1182449664 1189478400 1194393600 1204346880 1216512000 1231718400 1254528000 1270209600 1284636672 1313832960 1327104000 1338163200 1343692800 1354890240 1368576000 1411344000 1433272320 1445216256 1459814400 1478062080 1486848000 1492992000 1505433600 1539648000 1576599552 1587762000 1605795840 1622016000 1625868288 1642291200 1672704000 1679616000 1693612800 1751777280 1784217600 1791590400 1806520320 1824768000 1847577600 1881792000 1926955008 1970749440 1982464000 1990656000 2007244800 2032335360 2052864000 2117016000 2141061120 2149908480 2167824384 2189721600 2230272000 2239488000 2258150400 2309472000 2364899328 2388787200 2408693760 2433024000 2463436800 2509056000 2540419200 2627665920 2676326400 2687385600 2709780480 2737152000 2822688000 2890432512 2919628800 2956124160 2973696000 2985984000 3010867200 3079296000 3153199104 3175524000 3211591680 3251736576 3284582400 3345408000 3359232000 3387225600 3568435200 3583180800 3613040640 3649536000 3695155200 3763584000 3853910016 3941498880 3981312000 4014489600 4064670720 4105728000 4234032000 4299816960 4335648768 4379443200 4460544000 4478976000 4516300800 4618944000 4729798656 4817387520 4866048000 4926873600 5018112000 5080838400 5255331840 5352652800 5374771200 5419560960 5474304000 5645376000 5780865024 5912248320 5947392000 5971968000 6021734400 6158592000 6351048000 6423183360 6503473152 6569164800 6690816000 6718464000 6774451200 7166361600 7226081280 7299072000 7390310400 7527168000 7882997760 8028979200 8129341440 8211456000 8468064000 8671297536 8758886400 8921088000 8957952000 9032601600 9237888000 9459597312 9634775040 9853747200 10036224000 10161676800 10705305600 10749542400 10839121920 10948608000 11290752000 11561730048 11824496640 11943936000 12043468800 12317184000 12702096000 13006946304 13138329600 13381632000 13436928000 13548902400 14452162560 14598144000 14780620800 15054336000 15765995520 16057958400 16258682880 16422912000 16936128000 17342595072 17842176000 17915904000 18065203200 18475776000 19269550080 19707494400 20072448000 20323353600 21499084800 21678243840 21897216000 22581504000 23648993280 24086937600 24634368000 25404192000 26013892608 26276659200 26763264000 26873856000 27097804800 28904325120 29561241600 30108672000 32115916800 32517365760 32845824000 33872256000 34685190144 35831808000 36130406400 36951552000 39414988800 40144896000 40646707200 43356487680 43794432000 45163008000 47297986560 48173875200 49268736000 50808384000 52027785216 53526528000 53747712000 54195609600 57808650240 59122483200 60217344000 65034731520 65691648000 67744512000 72260812800 73903104000 78829977600 80289792000 81293414400 86712975360 90326016000 96347750400 98537472000 101616768000 104055570432 107495424000 108391219200 118244966400 120434688000 130069463040 131383296000 135489024000 144521625600 147806208000 160579584000 162586828800 173425950720 180652032000 197074944000 203233536000 216782438400 236489932800 240869376000 260138926080 270978048000 289043251200 295612416000 325173657600 361304064000 394149888000 406467072000 433564876800 481738752000 520277852160 541956096000 591224832000 650347315200 722608128000 812934144000 867129753600 1083912192000 1182449664000 1300694630400 1445216256000 1625868288000 2167824384000 2601389260800 3251736576000 4335648768000 6503473152000 13006946304000
- Sum of all divisors σ(n): 53524637708724
- Sum of proper divisors (its aliquot sum) s(n): 40517691404724
- 13006946304000 is an abundant number, because the sum of its proper divisors (40517691404724) is greater than itself. Its abundance is 27510745100724
Bases of 13006946304000
- Binary: 101111010100011010100110101000000000000000002
- Hexadecimal: 0xBD46A6A0000
- Base-36: 4LZB40000
Squares and roots of 13006946304000
- 13006946304000 squared (130069463040002) is 169180652155139260416000000
- 13006946304000 cubed (130069463040003) is 2200523658257598237873184702464000000000
-
The
square root of 13006946304000 is 3606514.4258688331 -
The
cube root of 13006946304000 is 23517.5341021609
Scales and comparisons
How big is 13006946304000?- 13,006,946,304,000 seconds is equal to 413,580 years, 34 weeks, 2 days.
-
To count from 1 to 13,006,946,304,000 would take you about one million, thirty-three thousand, nine hundred fifty-one 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 13006946304000 cubic inches would be around 1959.8 feet tall.
Recreational maths with 13006946304000
- 13006946304000 backwards is 00040364960031
- 13006946304000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13006946304000's digits is 36
- More coming soon!
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The information we have on file for 13006946304000 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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