12648968192000
12,648,968,192,000 is an even composite number composed of six prime numbers multiplied together.
12648968192000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 12648968192000:
215 × 53 × 72 × 19 × 31 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 19 × 31 × 107)See below for interesting mathematical facts about the number 12648968192000 from the Numbermatics database.
Names of 12648968192000
- Cardinal: 12648968192000 can be written as Twelve trillion, six hundred forty-eight billion, nine hundred sixty-eight million, one hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.2648968192 × 1013
Factors of 12648968192000
Divisors of 12648968192000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 31 32 35 38 40 49 50 56 62 64 70 76 80 95 98 100 107 112 124 125 128 133 140 152 155 160 175 190 196 200 214 217 224 245 248 250 256 266 280 304 310 320 350 380 392 400 428 434 448 475 490 496 500 512 532 535 560 589 608 620 640 665 700 749 760 775 784 800 856 868 875 896 931 950 980 992 1000 1024 1064 1070 1085 1120 1178 1216 1225 1240 1280 1330 1400 1498 1519 1520 1550 1568 1600 1712 1736 1750 1792 1862 1900 1960 1984 2000 2033 2048 2128 2140 2170 2240 2356 2375 2432 2450 2480 2560 2660 2675 2800 2945 2996 3038 3040 3100 3136 3200 3317 3325 3424 3472 3500 3584 3724 3745 3800 3875 3920 3968 4000 4066 4096 4123 4256 4280 4340 4480 4655 4712 4750 4864 4900 4960 5120 5243 5320 5350 5425 5600 5890 5992 6076 6080 6125 6200 6272 6400 6634 6650 6848 6944 7000 7168 7448 7490 7595 7600 7750 7840 7936 8000 8132 8192 8246 8512 8560 8680 8960 9310 9424 9500 9728 9800 9920 10165 10240 10486 10640 10700 10850 11200 11780 11984 12152 12160 12250 12400 12544 12800 13268 13300 13375 13696 13888 14000 14231 14336 14725 14896 14980 15190 15200 15500 15680 15872 16000 16264 16384 16492 16585 16625 17024 17120 17360 17920 18620 18725 18848 19000 19456 19600 19840 20330 20480 20615 20972 21280 21400 21700 22400 23219 23275 23560 23968 24304 24320 24500 24800 25088 25600 26215 26536 26600 26750 27125 27392 27776 28000 28462 28672 28861 29450 29792 29960 30380 30400 31000 31360 31744 32000 32528 32768 32984 33170 33250 34048 34240 34720 35840 37240 37450 37696 37975 38000 38912 39200 39680 40660 40960 41230 41944 42560 42800 43400 44800 46438 46550 47120 47936 48608 48640 49000 49600 50176 50825 51200 52430 53072 53200 53500 54250 54784 55552 56000 56924 57344 57722 58900 59584 59920 60760 60800 62000 62720 63023 63488 64000 65056 65968 66340 66500 68096 68480 69440 71155 71680 73625 74480 74900 75392 75950 76000 77824 78400 79360 81320 81920 82460 82925 83888 85120 85600 86800 89600 92876 93100 93625 94240 95872 97216 97280 98000 99200 99617 100352 101650 102400 103075 104860 106144 106400 107000 108500 109568 111104 112000 113848 114688 115444 116095 116375 117800 119168 119840 121520 121600 124000 125440 126046 126976 128000 130112 131075 131936 132680 133000 136192 136960 138880 142310 143360 144305 147250 148960 149800 150784 151900 152000 155648 156800 158720 162533 162640 163840 164920 165850 167776 170240 171200 173600 179200 185752 186200 187250 188480 189875 191744 194432 194560 196000 198400 199234 200704 203300 204800 206150 209720 212288 212800 214000 217000 219136 222208 224000 227696 229376 230888 232190 232750 235600 238336 239680 243040 243200 248000 250880 252092 253952 254125 256000 260224 262150 263872 265360 266000 272384 273920 277760 284620 286720 288610 294500 297920 299600 301568 303800 304000 311296 313600 315115 317440 325066 325280 329840 331700 335552 340480 342400 347200 355775 358400 371504 372400 374500 376960 379750 383488 388864 389120 392000 396800 398468 401408 406600 409600 412300 414625 419440 424576 425600 428000 434000 438272 441161 444416 448000 455392 461776 464380 465500 471200 476672 479360 486080 486400 496000 498085 501760 504184 507904 508250 512000 515375 520448 524300 527744 530720 532000 544768 547840 555520 569240 573440 577220 580475 589000 595840 599200 603136 607600 608000 622592 627200 630230 634880 650132 650560 655375 659680 663400 671104 680960 684800 694400 711550 716800 721525 743008 744800 749000 753920 759500 766976 777728 778240 784000 793600 796936 802816 812665 813200 819200 824600 829250 838880 849152 851200 856000 868000 876544 882322 888832 896000 910784 923552 928760 931000 942400 953344 958720 972160 972800 992000 996170 1003520 1008368 1015808 1016500 1024000 1030750 1040896 1048600 1055488 1061440 1064000 1089536 1095680 1111040 1138480 1146880 1154440 1160950 1178000 1191680 1198400 1206272 1215200 1216000 1254400 1260460 1269760 1300264 1301120 1310750 1319360 1326800 1342208 1361920 1369600 1388800 1423100 1433600 1443050 1486016 1489600 1498000 1507840 1519000 1533952 1555456 1556480 1568000 1575575 1587200 1593872 1605632 1625330 1626400 1649200 1658500 1677760 1698304 1702400 1712000 1736000 1753088 1764644 1777664 1778875 1792000 1821568 1847104 1857520 1862000 1884800 1906688 1917440 1944320 1945600 1984000 1992340 2007040 2016736 2033000 2048000 2061500 2081792 2097200 2110976 2122880 2128000 2179072 2191360 2205805 2222080 2276960 2308880 2321900 2356000 2383360 2396800 2412544 2430400 2432000 2490425 2508800 2520920 2539520 2600528 2602240 2621500 2638720 2653600 2684416 2723840 2739200 2777600 2846200 2867200 2886100 2902375 2972032 2979200 2996000 3015680 3038000 3067904 3088127 3110912 3112960 3136000 3151150 3174400 3187744 3250660 3252800 3298400 3317000 3355520 3396608 3404800 3424000 3472000 3506176 3529288 3555328 3557750 3584000 3607625 3643136 3694208 3715040 3724000 3769600 3813376 3834880 3888640 3891200 3968000 3984680 4014080 4033472 4063325 4066000 4096000 4123000 4163584 4194400 4221952 4245760 4256000 4358144 4382720 4411610 4444160 4553920 4617760 4643800 4712000 4766720 4793600 4825088 4860800 4864000 4980850 5017600 5041840 5079040 5201056 5204480 5243000 5277440 5307200 5368832 5447680 5478400 5555200 5692400 5734400 5772200 5804750 5944064 5958400 5992000 6031360 6076000 6135808 6176254 6221824 6272000 6302300 6348800 6375488 6501320 6505600 6596800 6634000 6711040 6793216 6809600 6848000 6944000 7058576 7110656 7115500 7168000 7215250 7286272 7388416 7430080 7448000 7539200 7626752 7669760 7777280 7782400 7877875 7936000 7969360 8028160 8066944 8126650 8132000 8246000 8327168 8388800 8443904 8491520 8512000 8765440 8823220 8888320 9107840 9235520 9287600 9424000 9533440 9587200 9650176 9721600 9728000 9961700 10035200 10083680 10402112 10408960 10486000 10554880 10614400 10737664 10895360 10956800 11029025 11110400 11384800 11544400 11609500 11888128 11916800 11984000 12062720 12152000 12271616 12352508 12443648 12452125 12544000 12604600 12697600 12750976 13002640 13011200 13193600 13268000 13422080 13586432 13619200 13696000 13888000 14117152 14231000 14336000 14430500 14572544 14776832 14860160 14896000 15078400 15253504 15339520 15440635 15554560 15564800 15755750 15872000 15938720 16133888 16253300 16264000 16492000 16654336 16777600 16887808 16983040 17024000 17530880 17646440 17776640 18215680 18471040 18575200 18848000 19066880 19174400 19300352 19443200 19456000 19923400 20070400 20167360 20316625 20804224 20817920 20972000 21109760 21228800 21475328 21790720 21913600 22058050 22220800 22769600 23088800 23219000 23776256 23833600 23968000 24125440 24304000 24543232 24705016 24887296 24904250 25088000 25209200 25395200 25501952 26005280 26022400 26387200 26536000 26844160 27172864 27238400 27392000 27776000 28234304 28462000 28672000 28861000 29145088 29553664 29720320 29792000 30156800 30507008 30679040 30881270 31109120 31511500 31744000 31877440 32267776 32506600 32528000 32984000 33308672 33555200 33775616 33966080 34048000 35292880 35553280 36431360 36942080 37150400 37696000 38133760 38348800 38886400 38912000 39846800 40140800 40334720 40633250 41608448 41635840 41944000 42219520 42457600 42950656 43827200 44116100 44441600 45539200 46177600 46438000 47552512 47667200 47936000 48250880 48608000 49410032 49774592 49808500 50176000 50418400 51003904 52010560 52044800 52774400 53072000 53688320 54345728 54476800 54784000 55145125 55552000 56468608 56924000 57722000 58290176 59107328 59440640 59584000 60313600 61358080 61762540 62218240 63023000 63488000 63754880 64535552 65013200 65056000 65968000 66617344 67110400 67551232 67932160 68096000 70585760 72862720 73884160 74300800 75392000 76267520 76697600 77203175 77772800 77824000 79693600 80669440 81266500 83216896 83271680 83888000 84439040 84915200 85901312 87654400 88232200 88883200 91078400 92355200 92876000 95105024 95334400 95872000 96501760 97216000 98820064 99617000 100352000 100836800 102007808 104021120 104089600 105548800 106144000 107376640 108691456 108953600 109568000 110290250 111104000 112937216 113848000 115444000 116580352 118214656 118881280 119168000 120627200 122716160 123525080 124436480 126046000 126976000 127509760 129071104 130026400 130112000 131936000 134220800 135102464 135864320 136192000 141171520 145725440 147768320 148601600 150784000 152535040 153395200 154406350 155545600 159387200 161338880 162533000 166433792 166543360 167776000 168878080 169830400 171802624 176464400 177766400 182156800 184710400 185752000 190210048 190668800 191744000 194432000 197640128 199234000 200704000 201673600 204015616 208042240 208179200 211097600 212288000 214753280 219136000 220580500 222208000 225874432 227696000 230888000 233160704 236429312 237762560 238336000 241254400 247050160 248872960 252092000 255019520 258142208 260052800 260224000 263872000 268441600 271728640 272384000 282343040 291450880 295536640 297203200 301568000 306790400 308812700 311091200 318774400 322677760 325066000 332867584 333086720 335552000 337756160 339660800 352928800 364313600 369420800 371504000 380420096 381337600 383488000 386015875 388864000 395280256 398468000 403347200 408031232 416084480 416358400 422195200 424576000 429506560 438272000 441161000 444416000 451748864 455392000 461776000 466321408 472858624 475525120 476672000 482508800 494100320 504184000 510039040 516284416 520105600 520448000 527744000 536883200 543457280 544768000 564686080 582901760 591073280 594406400 603136000 613580800 617625400 622182400 637548800 645355520 650132000 665735168 671104000 675512320 679321600 705857600 728627200 738841600 743008000 760840192 762675200 766976000 772031750 777728000 790560512 796936000 806694400 816062464 832168960 832716800 844390400 849152000 859013120 882322000 888832000 903497728 910784000 923552000 945717248 951050240 953344000 988200640 1008368000 1020078080 1032568832 1040211200 1040896000 1055488000 1073766400 1129372160 1165803520 1182146560 1188812800 1206272000 1235250800 1244364800 1275097600 1290711040 1300264000 1331470336 1342208000 1358643200 1411715200 1457254400 1477683200 1486016000 1533952000 1544063500 1555456000 1581121024 1593872000 1613388800 1632124928 1664337920 1665433600 1688780800 1698304000 1764644000 1806995456 1821568000 1847104000 1902100480 1906688000 1976401280 2016736000 2040156160 2065137664 2080422400 2081792000 2110976000 2147532800 2258744320 2331607040 2364293120 2377625600 2412544000 2470501600 2550195200 2581422080 2600528000 2662940672 2684416000 2717286400 2823430400 2914508800 2955366400 2972032000 3067904000 3088127000 3110912000 3162242048 3187744000 3226777600 3264249856 3328675840 3377561600 3396608000 3529288000 3613990912 3643136000 3694208000 3804200960 3813376000 3952802560 4033472000 4080312320 4160844800 4163584000 4221952000 4295065600 4517488640 4728586240 4755251200 4941003200 5100390400 5162844160 5201056000 5325881344 5368832000 5646860800 5829017600 5910732800 5944064000 6176254000 6221824000 6324484096 6375488000 6453555200 6657351680 6793216000 7058576000 7227981824 7286272000 7388416000 7905605120 8066944000 8160624640 8321689600 8327168000 8443904000 9034977280 9510502400 9882006400 10200780800 10325688320 10402112000 10737664000 11293721600 11658035200 11821465600 11888128000 12352508000 12648968192 12750976000 12907110400 13314703360 13586432000 14117152000 14455963648 14572544000 14776832000 15811210240 16133888000 16321249280 16643379200 16887808000 18069954560 19021004800 19764012800 20401561600 20804224000 21475328000 22587443200 23642931200 23776256000 24705016000 25297936384 25501952000 25814220800 26629406720 28234304000 29145088000 29553664000 31622420480 32267776000 33286758400 36139909120 39528025600 40803123200 41608448000 45174886400 47552512000 49410032000 50595872768 51003904000 51628441600 56468608000 58290176000 59107328000 63244840960 64535552000 66573516800 72279818240 79056051200 81606246400 83216896000 90349772800 95105024000 98820064000 101191745536 102007808000 112937216000 118214656000 126489681920 129071104000 133147033600 158112102400 166433792000 180699545600 197640128000 204015616000 225874432000 252979363840 258142208000 316224204800 332867584000 361399091200 395280256000 408031232000 451748864000 505958727680 632448409600 665735168000 790560512000 903497728000 1264896819200 1581121024000 1806995456000 2529793638400 3162242048000 6324484096000 12648968192000
- Sum of all divisors σ(n): 40278796646400
- Sum of proper divisors (its aliquot sum) s(n): 27629828454400
- 12648968192000 is an abundant number, because the sum of its proper divisors (27629828454400) is greater than itself. Its abundance is 14980860262400
Bases of 12648968192000
- Binary: 101110000001000100010100000110000000000000002
- Hexadecimal: 0xB8111418000
- Base-36: 4HEUT2OZK
Squares and roots of 12648968192000
- 12648968192000 squared (126489681920002) is 159996396322227748864000000
- 12648968192000 cubed (126489681920003) is 2023789327914484577960500133888000000000
-
The
square root of 12648968192000 is 3556538.7938275047 -
The
cube root of 12648968192000 is 23299.7735504525
Scales and comparisons
How big is 12648968192000?- 12,648,968,192,000 seconds is equal to 402,198 years, 3 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 12,648,968,192,000 would take you about one million, five thousand, four hundred ninety-five 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 12648968192000 cubic inches would be around 1941.6 feet tall.
Recreational maths with 12648968192000
- 12648968192000 backwards is 00029186984621
- 12648968192000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12648968192000's digits is 56
- More coming soon!
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The information we have on file for 12648968192000 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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