1006422851200
1,006,422,851,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 1006422851200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
1006422851200 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 1006422851200:
27 × 52 × 133 × 37 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 37 × 53 × 73)See below for interesting mathematical facts about the number 1006422851200 from the Numbermatics database.
Names of 1006422851200
- Cardinal: 1006422851200 can be written as One trillion, six billion, four hundred twenty-two million, eight hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.0064228512 × 1012
Factors of 1006422851200
Divisors of 1006422851200
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 53 64 65 73 74 80 100 104 106 128 130 146 148 160 169 185 200 208 212 260 265 292 296 320 325 338 365 370 400 416 424 481 520 530 584 592 640 650 676 689 730 740 800 832 845 848 925 949 962 1040 1060 1168 1184 1300 1325 1352 1378 1460 1480 1600 1664 1690 1696 1825 1850 1898 1924 1961 2080 2120 2197 2336 2368 2405 2600 2650 2701 2704 2756 2920 2960 3200 3380 3392 3445 3650 3700 3796 3848 3869 3922 4160 4225 4240 4394 4672 4736 4745 4810 5200 5300 5402 5408 5512 5840 5920 6253 6760 6784 6890 7300 7400 7592 7696 7738 7844 8320 8450 8480 8788 8957 9344 9490 9620 9805 10400 10600 10804 10816 10985 11024 11680 11840 12025 12337 12506 13505 13520 13780 14600 14800 15184 15392 15476 15688 16900 16960 17225 17576 17914 18980 19240 19345 19610 20800 21200 21608 21632 21970 22048 23360 23680 23725 24050 24674 25012 25493 27010 27040 27560 29200 29600 30368 30784 30952 31265 31376 33800 33920 34450 35113 35152 35828 37960 38480 38690 39220 41600 42400 43216 43940 44096 44785 46720 47450 48100 49025 49348 50024 50297 50986 54020 54080 54925 55120 58400 59200 60736 61568 61685 61904 62530 62752 67525 67600 68900 70226 70304 71656 75920 76960 77380 78440 81289 84800 86432 87880 88192 89570 94900 96200 96725 98050 98696 100048 100594 101972 108040 108160 109850 110240 116441 116800 118400 121472 123370 123808 125060 125504 127465 135050 135200 137800 140452 140608 143153 143312 151840 153920 154760 156325 156880 160381 162578 169600 172864 175565 175760 179140 189800 192400 193450 196100 197392 200096 201188 203944 216080 219700 220480 223925 232882 233600 246740 247616 250120 251008 251485 254930 270100 270400 275600 280904 281216 286306 286624 303680 307840 308425 309520 312650 313760 320762 325156 331409 345728 351130 351520 358280 379600 384800 386900 392200 394784 400192 402376 406445 407888 432160 439400 440960 447850 456469 465764 493480 495232 500240 502970 509860 540200 540800 551200 561808 572612 573248 582205 607360 616850 619040 625300 627520 637325 641524 650312 653861 662818 702260 703040 715765 716560 759200 769600 773800 784400 789568 800384 801905 804752 812890 815776 864320 877825 878800 895700 912938 931528 986960 1000480 1005940 1019720 1080400 1102400 1123616 1145224 1146496 1164410 1233700 1238080 1250600 1255040 1257425 1274650 1283048 1300624 1307722 1325636 1404520 1406080 1431530 1433120 1518400 1539200 1547600 1568800 1579136 1603810 1609504 1625780 1631552 1657045 1728640 1755650 1757600 1791400 1825876 1860989 1863056 1973920 2000960 2011880 2032225 2039440 2160800 2204800 2247232 2282345 2290448 2328820 2467400 2476160 2501200 2514850 2549300 2566096 2601248 2615444 2651272 2809040 2863060 2866240 2911025 3036800 3095200 3137600 3207620 3219008 3251560 3263104 3269305 3314090 3511300 3515200 3578825 3582800 3651752 3721978 3726112 3947840 4001920 4009525 4023760 4064450 4078880 4308317 4321600 4494464 4564690 4580896 4657640 4934800 5002400 5029700 5098600 5132192 5202496 5230888 5302544 5618080 5726120 5732480 5822050 5934097 6190400 6275200 6415240 6438016 6503120 6538610 6628180 7022600 7030400 7157650 7165600 7303504 7443956 7452224 7895680 8019050 8047520 8128900 8157760 8285225 8500193 8616634 8643200 9129380 9161792 9304945 9315280 9869600 10004800 10059400 10197200 10264384 10404992 10461776 10605088 11236160 11411725 11452240 11644100 11868194 12380800 12830480 13006240 13077220 13256360 14045200 14315300 14331200 14607008 14887912 14904448 16038100 16095040 16257800 16315520 16346525 16570450 17000386 17233268 18258760 18323584 18609890 18630560 19739200 20009600 20118800 20394400 20528768 20923552 21210176 21541585 22472320 22823450 22904480 23288200 23736388 24192857 25660960 26012480 26154440 26512720 28090400 28630600 28662400 29214016 29670485 29775824 32076200 32190080 32515600 32693050 33140900 34000772 34466536 36517520 37219780 37261120 39478400 40237600 40788800 41847104 42420352 42500965 43083170 45646900 45808960 46524725 46576400 47472776 48385714 51321920 52024960 52308880 53025440 56180800 57261200 58428032 59340970 59551648 64152400 65031200 65386100 66281800 68001544 68933072 73035040 74439560 74522240 80475200 81577600 83694208 85001930 86166340 91293800 91617920 93049450 93152800 94945552 96771428 102643840 104617760 106050880 107707925 112361600 114522400 118681940 119103296 120964285 128304800 130062400 130772200 132563600 136003088 137866144 146070080 148352425 148879120 160950400 170003860 172332680 182587600 186098900 186305600 189891104 193542856 209235520 212101760 212504825 215415850 229044800 237363880 238206592 241928570 256609600 260124800 261544400 265127200 272006176 275732288 292140160 296704850 297758240 314507141 340007720 344665360 365175200 372197800 372611200 379782208 387085712 418471040 425009650 430831700 458089600 474727760 483857140 513219200 523088800 530254400 544012352 551464576 593409700 595516480 604821425 629014282 680015440 689330720 730350400 744395600 759564416 774171424 850019300 861663400 949455520 967714280 1046177600 1060508800 1088024704 1186819400 1191032960 1209642850 1258028564 1360030880 1378661440 1460700800 1488791200 1548342848 1572535705 1700038600 1723326800 1898911040 1935428560 2092355200 2373638800 2419285700 2516057128 2720061760 2757322880 2977582400 3096685696 3145071410 3400077200 3446653600 3797822080 3870857120 4747277600 4838571400 5032114256 5440123520 5955164800 6290142820 6800154400 6893307200 7741714240 7862678525 9494555200 9677142800 10064228512 12580285640 13600308800 13786614400 15483428480 15725357050 18989110400 19354285600 20128457024 25160571280 27200617600 31450714100 38708571200 40256914048 50321142560 62901428200 77417142400 100642285120 125802856400 201284570240 251605712800 503211425600 1006422851200
- Sum of all divisors σ(n): 2856853087200
- Sum of proper divisors (its aliquot sum) s(n): 1850430236000
- 1006422851200 is an abundant number, because the sum of its proper divisors (1850430236000) is greater than itself. Its abundance is 844007384800
Bases of 1006422851200
- Binary: 11101010010100110111100111111110100000002
- Hexadecimal: 0xEA5379FE80
- Base-36: CUCE6HZ4
Squares and roots of 1006422851200
- 1006422851200 squared (10064228512002) is 1012886955417537341440000
- 1006422851200 cubed (10064228512003) is 1019392577614605217654512713728000000
-
The
square root of 1006422851200 is 1003206.2854667529 -
The
cube root of 1006422851200 is 10021.3638301735
Scales and comparisons
How big is 1006422851200?- 1,006,422,851,200 seconds is equal to 32,001 years, 6 weeks, 6 days, 15 hours, 6 minutes, 40 seconds.
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To count from 1 to 1,006,422,851,200 would take you about eighty thousand and 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 1006422851200 cubic inches would be around 835.1 feet tall.
Recreational maths with 1006422851200
- 1006422851200 backwards is 0021582246001
- The number of decimal digits it has is: 13
- The sum of 1006422851200's digits is 31
- More coming soon!
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