1022135472000
1,022,135,472,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 1022135472000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
1022135472000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1022135472000:
27 × 32 × 53 × 17 × 31 × 13469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 31 × 13469)See below for interesting mathematical facts about the number 1022135472000 from the Numbermatics database.
Names of 1022135472000
- Cardinal: 1022135472000 can be written as One trillion, twenty-two billion, one hundred thirty-five million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.022135472 × 1012
Factors of 1022135472000
Divisors of 1022135472000
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 31 32 34 36 40 45 48 50 51 60 62 64 68 72 75 80 85 90 93 96 100 102 120 124 125 128 136 144 150 153 155 160 170 180 186 192 200 204 225 240 248 250 255 272 279 288 300 306 310 320 340 360 372 375 384 400 408 425 450 465 480 496 500 510 527 544 558 576 600 612 620 640 680 720 744 750 765 775 800 816 850 900 930 960 992 1000 1020 1054 1088 1116 1125 1152 1200 1224 1240 1275 1360 1395 1440 1488 1500 1530 1550 1581 1600 1632 1700 1800 1860 1920 1984 2000 2040 2108 2125 2176 2232 2250 2325 2400 2448 2480 2550 2635 2720 2790 2880 2976 3000 3060 3100 3162 3200 3264 3400 3600 3720 3825 3875 3968 4000 4080 4216 4250 4464 4500 4650 4743 4800 4896 4960 5100 5270 5440 5580 5760 5952 6000 6120 6200 6324 6375 6528 6800 6975 7200 7440 7650 7750 7905 8000 8160 8432 8500 8928 9000 9300 9486 9600 9792 9920 10200 10540 10880 11160 11625 11904 12000 12240 12400 12648 12750 13175 13469 13600 13950 14400 14880 15300 15500 15810 16000 16320 16864 17000 17856 18000 18600 18972 19125 19584 19840 20400 21080 22320 23250 23715 24000 24480 24800 25296 25500 26350 26938 27200 27900 28800 29760 30600 31000 31620 32640 33728 34000 34875 35712 36000 37200 37944 38250 39525 40407 40800 42160 44640 46500 47430 48000 48960 49600 50592 51000 52700 53876 54400 55800 59520 61200 62000 63240 65875 67345 67456 68000 69750 72000 74400 75888 76500 79050 80814 81600 84320 89280 93000 94860 97920 99200 101184 102000 105400 107752 111600 118575 121221 122400 124000 126480 131750 134690 136000 139500 144000 148800 151776 153000 158100 161628 163200 168640 178560 186000 189720 197625 202035 202368 204000 210800 215504 223200 228973 237150 242442 244800 248000 252960 263500 269380 272000 279000 297600 303552 306000 316200 323256 336725 337280 372000 379440 395250 404070 408000 417539 421600 431008 446400 457946 474300 484884 489600 496000 505920 527000 538760 558000 592875 606105 607104 612000 632400 646512 673450 686919 744000 758880 790500 808140 816000 835078 843200 862016 892800 915892 948600 969768 1010175 1011840 1054000 1077520 1116000 1144865 1185750 1212210 1224000 1252617 1264800 1293024 1346900 1373838 1488000 1517760 1581000 1616280 1670156 1683625 1686400 1724032 1831784 1897200 1939536 2020350 2060757 2087695 2108000 2155040 2232000 2289730 2371500 2424420 2448000 2505234 2529600 2586048 2693800 2747676 3030525 3035520 3162000 3232560 3340312 3367250 3434595 3663568 3757851 3794400 3879072 4040700 4121514 4175390 4216000 4310080 4464000 4579460 4743000 4848840 5010468 5050875 5059200 5172096 5387600 5495352 5724325 6061050 6263085 6324000 6465120 6680624 6734500 6869190 7098163 7327136 7515702 7588800 7758144 8081400 8243028 8350780 8432000 8620160 9158920 9486000 9697680 10020936 10101750 10303785 10438475 10775200 10990704 11448650 12122100 12526170 12648000 12930240 13361248 13469000 13738380 14196326 14654272 15031404 15152625 15177600 15516288 16162800 16486056 16701560 17172975 18317840 18789255 18972000 19395360 20041872 20203500 20607570 20876950 21294489 21550400 21981408 22897300 24244200 25052340 25296000 25860480 26722496 26938000 27476760 28392652 28621625 29308544 30062808 30305250 31315425 32325600 32972112 33403120 34345950 35490815 36635680 37578510 37944000 38790720 40083744 40407000 41215140 41753900 42588978 43100800 43962816 45794600 48488400 50104680 51518925 52192375 53444992 53876000 54953520 56785304 57243250 60125616 60610500 62630850 63883467 64651200 65944224 66806240 68691900 70981630 73271360 75157020 75888000 77581440 80167488 80814000 82430280 83507800 85177956 85864875 87925632 91589200 93946275 96976800 100209360 103037850 104384750 106472445 107752000 109907040 113570608 114486500 120251232 121221000 125261700 127766934 129302400 131888448 133612480 137383800 141963260 146542720 150314040 156577125 160334976 161628000 164860560 167015600 170355912 171729750 177454075 183178400 187892550 193953600 200418720 206075700 208769500 212944890 215504000 219814080 227141216 228973000 240502464 242442000 250523400 255533868 257594625 263776896 267224960 274767600 283926520 300628080 313154250 319417335 323256000 329721120 334031200 340711824 343459500 354908150 366356800 375785100 387907200 400837440 412151400 417539000 425889780 439628160 454282432 457946000 469731375 481004928 484884000 501046800 511067736 515189250 532362225 549535200 567853040 601256160 626308500 638834670 646512000 659442240 668062400 681423648 686919000 709816300 732713600 751570200 801674880 824302800 835078000 851779560 887270375 908564864 915892000 939462750 969768000 1002093600 1022135472 1030378500 1064724450 1099070400 1135706080 1202512320 1252617000 1277669340 1318884480 1336124800 1362847296 1373838000 1419632600 1503140400 1597086675 1648605600 1670156000 1703559120 1774540750 1831784000 1878925500 1939536000 2004187200 2044270944 2060757000 2129448900 2198140800 2271412160 2405024640 2505234000 2555338680 2661811125 2725694592 2747676000 2839265200 3006280800 3194173350 3297211200 3340312000 3407118240 3549081500 3663568000 3757851000 4008374400 4088541888 4121514000 4258897800 4542824320 5010468000 5110677360 5323622250 5495352000 5678530400 6012561600 6388346700 6594422400 6680624000 6814236480 7098163000 7515702000 7985433375 8177083776 8243028000 8517795600 10020936000 10221354720 10647244500 10990704000 11357060800 12025123200 12776693400 13628472960 14196326000 15031404000 15970866750 16486056000 17035591200 20041872000 20442709440 21294489000 22714121600 25553386800 28392652000 30062808000 31941733500 32972112000 34071182400 40885418880 42588978000 51106773600 56785304000 60125616000 63883467000 68142364800 85177956000 102213547200 113570608000 127766934000 170355912000 204427094400 255533868000 340711824000 511067736000 1022135472000
- Sum of all divisors σ(n): 4012344460800
- Sum of proper divisors (its aliquot sum) s(n): 2990208988800
- 1022135472000 is an abundant number, because the sum of its proper divisors (2990208988800) is greater than itself. Its abundance is 1968073516800
Bases of 1022135472000
- Binary: 11101101111111000000010110001111100000002
- Hexadecimal: 0xEDFC058F80
- Base-36: D1K92HS0
Squares and roots of 1022135472000
- 1022135472000 squared (10221354720002) is 1044760923120662784000000
- 1022135472000 cubed (10221354720003) is 1067887199281094367676674048000000000
-
The
square root of 1022135472000 is 1011007.1572446953 -
The
cube root of 1022135472000 is 10073.2470832117
Scales and comparisons
How big is 1022135472000?- 1,022,135,472,000 seconds is equal to 32,500 years, 38 weeks, 5 days, 16 hours.
-
To count from 1 to 1,022,135,472,000 would take you about eighty-one thousand, two 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 1022135472000 cubic inches would be around 839.4 feet tall.
Recreational maths with 1022135472000
- 1022135472000 backwards is 0002745312201
- The number of decimal digits it has is: 13
- The sum of 1022135472000's digits is 27
- More coming soon!
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The information we have on file for 1022135472000 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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