1131331968000

Names of 1131331968000

• Cardinal: 1131331968000 can be written as One trillion, one hundred thirty-one billion, three hundred thirty-one million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.131331968 × 10¹²

Factors of 1131331968000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 172

Divisors of 1131331968000

• Number of divisors d(n): 1408
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 125 128 130 135 144 149 150 156 160 169 180 192 195 200 208 216 225 234 240 250 256 260 270 288 298 300 312 320 325 338 351 360 375 384 390 400 416 432 447 450 468 480 500 507 512 520 540 576 585 596 600 624 640 650 675 676 702 720 745 750 768 780 800 832 845 864 894 900 936 960 975 1000 1014 1024 1040 1080 1125 1152 1170 1192 1200 1248 1280 1300 1341 1350 1352 1404 1440 1490 1500 1521 1536 1560 1600 1625 1664 1690 1728 1755 1788 1800 1872 1920 1937 1950 2000 2028 2080 2160 2197 2235 2250 2304 2340 2384 2400 2496 2535 2560 2600 2682 2700 2704 2808 2880 2925 2980 3000 3042 3072 3120 3200 3250 3328 3375 3380 3456 3510 3576 3600 3725 3744 3840 3874 3900 4000 4023 4056 4160 4225 4320 4394 4470 4500 4563 4608 4680 4768 4800 4875 4992 5070 5120 5200 5364 5400 5408 5616 5760 5811 5850 5960 6000 6084 6240 6400 6500 6591 6656 6705 6750 6760 6912 7020 7152 7200 7450 7488 7605 7680 7748 7800 8000 8046 8112 8320 8450 8640 8775 8788 8940 9000 9126 9216 9360 9536 9600 9685 9750 9984 10140 10400 10728 10800 10816 10985 11175 11232 11520 11622 11700 11920 12000 12168 12480 12675 12800 13000 13182 13312 13410 13500 13520 13824 14040 14304 14400 14625 14900 14976 15210 15360 15496 15600 16000 16092 16224 16640 16900 17280 17433 17550 17576 17880 18000 18252 18625 18720 19072 19200 19370 19500 19773 19968 20115 20280 20800 21125 21456 21600 21632 21970 22350 22464 22815 23040 23244 23400 23840 24000 24336 24960 25181 25350 25600 26000 26364 26820 27000 27040 27648 28080 28608 28800 29055 29250 29800 29952 30420 30992 31200 32000 32184 32448 32955 33280 33525 33800 34560 34866 35100 35152 35760 36000 36504 37250 37440 38025 38144 38400 38740 39000 39546 39936 40230 40560 41600 42250 42912 43200 43264 43875 43940 44700 44928 45630 46080 46488 46800 47680 48000 48425 48672 49920 50362 50700 52000 52299 52728 53640 54000 54080 54925 55875 56160 57216 57600 58110 58500 59319 59600 59904 60840 61984 62400 63375 64000 64368 64896 65910 66560 67050 67600 69120 69732 70200 70304 71520 72000 73008 74500 74880 75543 76050 76288 76800 77480 78000 79092 80460 81120 83200 84500 85824 86400 86528 87165 87750 87880 89400 89856 91260 92976 93600 95360 96000 96850 97344 98865 99840 100575 100724 101400 104000 104598 105456 107280 108000 108160 109850 111750 112320 114075 114432 115200 116220 117000 118638 119200 119808 121680 123968 124800 125905 126750 128000 128736 129792 131820 134100 135200 138240 139464 140400 140608 143040 144000 145275 146016 149000 149760 151086 152100 152576 154960 156000 158184 160920 162240 164775 166400 167625 169000 171648 172800 173056 174330 175500 175760 178800 179712 182520 185952 187200 190125 190720 192000 193700 194688 197730 199680 201150 201448 202800 208000 209196 210912 214560 216000 216320 219700 223500 224640 226629 228150 228864 230400 232440 234000 237276 238400 242125 243360 247936 249600 251810 253500 257472 259584 261495 263640 268200 270400 274625 278928 280800 281216 286080 288000 290550 292032 296595 298000 299520 302172 304200 309920 312000 316368 321840 324480 327353 329550 332800 335250 338000 343296 345600 348660 351000 351520 357600 359424 365040 371904 374400 377715 380250 381440 384000 387400 389376 395460 402300 402896 405600 416000 418392 421824 429120 432000 432640 435825 439400 447000 449280 453258 456300 457728 464880 468000 474552 476800 484250 486720 494325 495872 499200 502875 503620 507000 514944 519168 522990 527280 536400 540800 549250 557856 561600 562432 570375 572160 576000 581100 584064 593190 596000 599040 604344 608400 619840 624000 629525 632736 643680 648960 654706 659100 670500 676000 679887 686592 691200 697320 702000 703040 715200 726375 730080 743808 748800 755430 760500 762880 774800 778752 790920 804600 805792 811200 823875 832000 836784 843648 858240 864000 865280 871650 878800 894000 898560 906516 912600 929760 936000 949104 953600 968500 973440 982059 988650 991744 998400 1005750 1007240 1014000 1029888 1045980 1054560 1072800 1081600 1098500 1115712 1123200 1124864 1133145 1140750 1144320 1152000 1162200 1168128 1186380 1192000 1208688 1216800 1239680 1248000 1259050 1265472 1287360 1297920 1307475 1309412 1318200 1341000 1352000 1359774 1373184 1394640 1404000 1406080 1430400 1452750 1460160 1482975 1487616 1497600 1510860 1521000 1549600 1557504 1581840 1609200 1611584 1622400 1636765 1647750 1664000 1673568 1687296 1716480 1728000 1743300 1757600 1788000 1797120 1813032 1825200 1859520 1872000 1888575 1898208 1907200 1937000 1946880 1964118 1977300 1983488 2011500 2014480 2028000 2059776 2091960 2109120 2145600 2163200 2179125 2197000 2231424 2246400 2249728 2266290 2281500 2288640 2324400 2336256 2372760 2384000 2417376 2433600 2471625 2479360 2496000 2518100 2530944 2574720 2595840 2614950 2618824 2636400 2682000 2704000 2719548 2789280 2808000 2812160 2860800 2905500 2920320 2946177 2965950 2975232 2995200 3021720 3042000 3099200 3147625 3163680 3218400 3223168 3244800 3273530 3295500 3347136 3374592 3399435 3432960 3456000 3486600 3515200 3576000 3626064 3650400 3719040 3744000 3777150 3796416 3814400 3874000 3893760 3928236 3954600 4023000 4028960 4056000 4119552 4183920 4218240 4291200 4326400 4358250 4394000 4462848 4492800 4532580 4563000 4648800 4672512 4745520 4768000 4834752 4867200 4910295 4943250 4958720 4992000 5036200 5061888 5149440 5229900 5237648 5272800 5364000 5408000 5439096 5578560 5616000 5624320 5665725 5721600 5811000 5840640 5892354 5931900 5950464 6043440 6084000 6198400 6295250 6327360 6436800 6446336 6489600 6537375 6547060 6591000 6694272 6749184 6798870 6865920 6973200 7030400 7152000 7252128 7300800 7414875 7438080 7488000 7554300 7592832 7748000 7787520 7856472 7909200 8046000 8057920 8112000 8183825 8367840 8436480 8582400 8716500 8788000 8838531 8925696 8985600 9065160 9126000 9297600 9442875 9491040 9536000 9669504 9734400 9820590 9886500 9917440 10072400 10123776 10298880 10459800 10475296 10545600 10728000 10816000 10878192 11157120 11232000 11248640 11331450 11443200 11622000 11681280 11784708 11863800 12086880 12168000 12396800 12590500 12654720 12873600 12892672 12979200 13074750 13094120 13182000 13388544 13597740 13946400 14060800 14304000 14504256 14601600 14730885 14829750 14876160 14976000 15108600 15185664 15496000 15712944 15818400 16092000 16115840 16224000 16367650 16735680 16872960 16997175 17164800 17433000 17576000 17677062 17851392 18130320 18252000 18595200 18885750 18982080 19072000 19339008 19468800 19641180 19773000 20144800 20247552 20597760 20919600 20950592 21091200 21456000 21632000 21756384 22314240 22464000 22662900 23244000 23362560 23569416 23727600 24173760 24336000 24551475 24793600 25181000 25309440 25747200 25785344 26149500 26188240 26364000 26777088 27195480 27892800 28121600 28328625 28608000 29008512 29203200 29461770 29659500 29752320 30217200 30371328 30992000 31425888 31636800 32184000 32231680 32448000 32735300 33471360 33745920 33994350 34329600 34866000 35152000 35354124 36260640 36504000 37190400 37771500 37964160 38678016 38937600 39282360 39546000 40289600 40919125 41839200 41901184 42182400 42912000 43512768 44192655 44628480 44928000 45325800 46488000 47138832 47455200 48347520 48672000 49102950 49587200 50362000 50618880 51494400 52299000 52376480 52728000 53554176 54390960 55785600 56243200 56657250 57216000 58017024 58406400 58923540 59319000 60434400 60742656 61984000 62851776 63273600 64368000 64463360 64896000 65470600 66942720 67988700 69732000 70304000 70708248 72521280 73008000 73654425 74380800 75543000 75928320 77356032 78564720 79092000 80579200 81838250 83678400 83802368 84364800 84985875 85824000 87025536 88385310 89256960 90651600 92976000 94277664 94910400 96695040 97344000 98205900 100724000 101237760 102988800 104598000 104752960 105456000 108781920 111571200 113314500 116034048 116812800 117847080 118638000 120868800 122757375 123968000 125703552 126547200 128736000 128926720 130941200 133885440 135977400 139464000 140608000 141416496 145042560 146016000 147308850 148761600 151086000 151856640 157129440 158184000 161158400 163676500 167356800 167604736 168729600 169971750 171648000 174051072 176770620 181303200 185952000 188555328 189820800 193390080 194688000 196411800 201448000 209196000 209505920 210912000 217563840 220963275 223142400 226629000 232068096 235694160 237276000 241737600 245514750 247936000 251407104 253094400 257472000 261882400 267770880 271954800 278928000 281216000 282832992 290085120 292032000 294617700 302172000 303713280 314258880 316368000 322316800 327353000 334713600 335209472 339943500 348102144 353541240 362606400 368272125 371904000 377110656 379641600 386780160 392823600 402896000 418392000 419011840 421824000 435127680 441926550 446284800 453258000 471388320 474552000 483475200 491029500 502814208 506188800 514944000 523764800 543909600 557856000 565665984 580170240 584064000 589235400 604344000 628517760 632736000 644633600 654706000 669427200 679887000 696204288 707082480 725212800 736544250 743808000 754221312 759283200 785647200 805792000 836784000 838023680 843648000 870255360 883853100 906516000 942776640 949104000 966950400 982059000 1005628416 1047529600 1087819200 1104816375 1115712000 1131331968 1160340480 1178470800 1208688000 1257035520 1265472000 1309412000 1338854400 1359774000 1414164960 1450425600 1473088500 1508442624 1518566400 1571294400 1611584000 1673568000 1676047360 1740510720 1767706200 1813032000 1885553280 1898208000 1933900800 1964118000 2095059200 2175638400 2209632750 2231424000 2262663936 2356941600 2417376000 2514071040 2530944000 2618824000 2719548000 2828329920 2900851200 2946177000 3016885248 3142588800 3223168000 3347136000 3481021440 3535412400 3626064000 3771106560 3796416000 3928236000 4190118400 4351276800 4419265500 4525327872 4713883200 4834752000 5028142080 5237648000 5439096000 5656659840 5801702400 5892354000 6285177600 6694272000 7070824800 7252128000 7542213120 7592832000 7856472000 8380236800 8702553600 8838531000 9050655744 9427766400 9669504000 10475296000 10878192000 11313319680 11784708000 12570355200 14141649600 14504256000 15084426240 15712944000 17405107200 17677062000 18855532800 20950592000 21756384000 22626639360 23569416000 25140710400 28283299200 29008512000 31425888000 35354124000 37711065600 41901184000 43512768000 45253278720 47138832000 56566598400 62851776000 70708248000 75422131200 87025536000 94277664000 113133196800 125703552000 141416496000 188555328000 226266393600 282832992000 377110656000 565665984000 1131331968000
• Sum of all divisors σ(n): 4560060960000
• Sum of proper divisors (its aliquot sum) s(n): 3428728992000
• 1131331968000 is an abundant number, because the sum of its proper divisors (3428728992000) is greater than itself. Its abundance is 2297397024000

Bases of 1131331968000

• Binary: 10000011101101000101000111101110000000000₂
• Hexadecimal: 0x10768A3DC00
• Base-36: EFQ5UDC0

Squares and roots of 1131331968000

• 1131331968000 squared (1131331968000²) is 1279912021818753024000000
• 1131331968000 cubed (1131331968000³) is 1448005386511068797947871232000000000
• The square root of 1131331968000 is 1063640.9018085005
• The cube root of 1131331968000 is 10419.8952493575

Scales and comparisons

• 1,131,331,968,000 seconds is equal to 35,972 years, 44 weeks, 4 days.
• To count from 1 to 1,131,331,968,000 would take you about eighty-nine thousand, nine hundred thirty-two 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 1131331968000 cubic inches would be around 868.3 feet tall.

Recreational maths with 1131331968000

• 1131331968000 backwards is 0008691331311
• 1131331968000 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1131331968000's digits is 36
• More coming soon!