1982396928000
1,982,396,928,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 1982396928000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
1982396928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 1982396928000:
212 × 3 × 53 × 17 × 312 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 31 × 31 × 79)See below for interesting mathematical facts about the number 1982396928000 from the Numbermatics database.
Names of 1982396928000
- Cardinal: 1982396928000 can be written as One trillion, nine hundred eighty-two billion, three hundred ninety-six million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.982396928 × 1012
Factors of 1982396928000
Divisors of 1982396928000
- Number of divisors d(n): 1248
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 40 48 50 51 60 62 64 68 75 79 80 85 93 96 100 102 120 124 125 128 136 150 155 158 160 170 186 192 200 204 237 240 248 250 255 256 272 300 310 316 320 340 372 375 384 395 400 408 425 465 474 480 496 500 510 512 527 544 600 620 632 640 680 744 750 768 775 790 800 816 850 930 948 960 961 992 1000 1020 1024 1054 1088 1185 1200 1240 1264 1275 1280 1343 1360 1488 1500 1536 1550 1580 1581 1600 1632 1700 1860 1896 1920 1922 1975 1984 2000 2040 2048 2108 2125 2176 2325 2370 2400 2449 2480 2528 2550 2560 2635 2686 2720 2883 2976 3000 3072 3100 3160 3162 3200 3264 3400 3720 3792 3840 3844 3875 3950 3968 4000 4029 4080 4096 4216 4250 4352 4650 4740 4800 4805 4898 4960 5056 5100 5120 5270 5372 5440 5766 5925 5952 6000 6144 6200 6320 6324 6375 6400 6528 6715 6800 7347 7440 7584 7680 7688 7750 7900 7905 7936 8000 8058 8160 8432 8500 8704 9300 9480 9600 9610 9796 9875 9920 10112 10200 10240 10540 10744 10880 11532 11625 11850 11904 12000 12245 12288 12400 12640 12648 12750 12800 13056 13175 13430 13600 14415 14694 14880 15168 15360 15376 15500 15800 15810 15872 16000 16116 16320 16337 16864 17000 17408 18600 18960 19200 19220 19592 19750 19840 20145 20224 20400 20480 21080 21488 21760 23064 23250 23700 23808 24000 24025 24490 24800 25280 25296 25500 25600 26112 26350 26860 27200 28830 29388 29625 29760 30336 30720 30752 31000 31600 31620 31744 32000 32232 32640 32674 33575 33728 34000 34816 36735 37200 37920 38400 38440 39184 39500 39525 39680 40290 40448 40800 41633 42160 42976 43520 46128 46500 47400 47616 48000 48050 48980 49011 49600 50560 50592 51000 51200 52224 52700 53720 54400 57660 58776 59250 59520 60672 61225 61440 61504 62000 63200 63240 63488 64000 64464 65280 65348 65875 67150 67456 68000 69632 72075 73470 74400 75840 75919 76800 76880 78368 79000 79050 79360 80580 80896 81600 81685 83266 84320 85952 87040 92256 93000 94800 95232 96000 96100 97960 98022 99200 100725 101120 101184 102000 102400 104448 105400 107440 108800 115320 117552 118500 119040 120125 121344 122450 123008 124000 124899 126400 126480 126976 128000 128928 130560 130696 131750 134300 134912 136000 144150 146940 148800 151680 151838 153600 153760 156736 158000 158100 158720 161160 161792 163200 163370 166532 167875 168640 171904 174080 183675 184512 186000 189600 190464 192000 192200 195920 196044 197625 198400 201450 202240 202368 204000 208165 208896 210800 214880 217600 227757 230640 235104 237000 238080 240250 242688 244900 245055 246016 248000 249798 252800 252960 256000 257856 261120 261392 263500 268600 269824 272000 288300 293880 297600 303360 303676 306125 307200 307520 313472 316000 316200 317440 322320 323584 326400 326740 333064 335750 337280 343808 348160 360375 367350 369024 372000 379200 379595 380928 384000 384400 391840 392088 395250 396800 402900 404480 404736 408000 408425 416330 421600 429760 435200 455514 461280 470208 474000 476160 480500 485376 489800 490110 492032 496000 499596 503625 505600 505920 512000 515712 522240 522784 527000 537200 539648 544000 576600 587760 595200 606720 607352 612250 615040 624495 626944 632000 632400 634880 644640 652800 653480 666128 671500 674560 687616 720750 734700 738048 744000 758400 759190 768000 768800 783680 784176 790500 793600 805800 808960 809472 816000 816850 832660 843200 859520 870400 911028 918375 922560 940416 948000 952320 961000 970752 979600 980220 984064 992000 999192 1007250 1011200 1011840 1031424 1040825 1044480 1045568 1054000 1074400 1079296 1088000 1138785 1153200 1175520 1190400 1213440 1214704 1224500 1225275 1230080 1248990 1253888 1264000 1264800 1289280 1290623 1305600 1306960 1332256 1343000 1349120 1375232 1441500 1469400 1476096 1488000 1516800 1518380 1536000 1537600 1567360 1568352 1581000 1587200 1611600 1617920 1618944 1632000 1633700 1665320 1686400 1719040 1740800 1822056 1836750 1845120 1880832 1896000 1897975 1904640 1922000 1959200 1960440 1968128 1984000 1998384 2014500 2022400 2023680 2042125 2062848 2081650 2091136 2108000 2148800 2158592 2176000 2277570 2306400 2351040 2380800 2426880 2429408 2449000 2450550 2460160 2497980 2507776 2528000 2529600 2578560 2581246 2611200 2613920 2664512 2686000 2698240 2750464 2883000 2938800 2952192 2976000 3033600 3036760 3075200 3122475 3134720 3136704 3162000 3174400 3223200 3237888 3264000 3267400 3330640 3372800 3438080 3644112 3673500 3690240 3761664 3792000 3795950 3844000 3871869 3918400 3920880 3936256 3968000 3996768 4029000 4044800 4047360 4084250 4125696 4163300 4182272 4216000 4297600 4352000 4555140 4612800 4702080 4761600 4853760 4858816 4898000 4901100 4920320 4995960 5015552 5056000 5059200 5157120 5162492 5204125 5222400 5227840 5329024 5372000 5396480 5500928 5693925 5766000 5877600 5904384 5952000 6067200 6073520 6126375 6150400 6244950 6269440 6273408 6324000 6446400 6453115 6475776 6528000 6534800 6661280 6745600 6876160 7288224 7347000 7380480 7523328 7584000 7591900 7688000 7743738 7836800 7841760 7936000 7993536 8058000 8089600 8094720 8168500 8251392 8326600 8364544 8432000 8595200 8704000 9110280 9225600 9404160 9489875 9523200 9717632 9796000 9802200 9840640 9991920 10031104 10112000 10118400 10314240 10324984 10408250 10455680 10658048 10744000 10792960 11387850 11532000 11755200 11808768 11904000 12134400 12147040 12252750 12300800 12489900 12538880 12546816 12648000 12892800 12906230 13056000 13069600 13322560 13491200 13752320 14576448 14694000 14760960 15046656 15168000 15183800 15376000 15487476 15612375 15673600 15683520 15872000 15987072 16116000 16189440 16337000 16502784 16653200 16729088 16864000 17190400 18220560 18451200 18808320 18979750 19359345 19435264 19592000 19604400 19681280 19983840 20224000 20236800 20628480 20649968 20816500 20911360 21316096 21488000 22775700 23064000 23510400 23808000 24268800 24294080 24505500 24601600 24979800 25077760 25093632 25296000 25785600 25812460 26112000 26139200 26645120 26982400 27504640 28469625 29152896 29388000 29521920 30093312 30336000 30367600 30752000 30974952 31224750 31347200 31367040 31974144 32232000 32265575 32378880 32674000 33306400 33458176 33728000 34380800 36441120 36902400 37616640 37959500 38718690 38870528 39184000 39208800 39967680 40448000 40473600 41256960 41299936 41633000 41822720 42632192 42976000 45551400 46128000 47020800 47616000 48588160 49011000 49203200 49959600 50155520 50187264 50592000 51571200 51624920 52278400 53290240 53964800 56939250 58305792 58776000 59043840 60672000 60735200 61504000 61949904 62449500 62694400 62734080 63948288 64464000 64531150 65348000 66612800 66916352 67456000 68761600 72882240 73804800 75233280 75919000 77437380 77741056 78368000 78417600 79935360 80947200 82513920 82599872 83266000 83645440 85264384 85952000 91102800 92256000 94041600 96796725 97176320 98022000 98406400 99919200 100374528 101184000 103142400 103249840 104556800 106580480 113878500 116611584 117552000 121344000 121470400 123008000 123899808 124899000 125388800 125468160 127896576 128928000 129062300 130696000 133225600 134912000 137523200 145764480 147609600 150466560 151838000 154874760 155482112 156736000 156835200 159870720 161327875 161894400 165199744 166532000 167290880 170528768 171904000 182205600 184512000 188083200 193593450 194352640 196044000 199838400 200749056 202368000 206284800 206499680 209113600 213160960 227757000 233223168 235104000 242940800 246016000 247799616 249798000 250777600 250936320 255793152 257856000 258124600 261392000 266451200 269824000 291528960 295219200 303676000 309749520 310964224 313472000 313670400 319741440 322655750 330399488 333064000 334581760 343808000 364411200 369024000 376166400 387186900 388705280 392088000 399676800 404736000 412569600 412999360 418227200 426321920 455514000 466446336 470208000 483983625 485881600 492032000 495599232 499596000 501872640 511586304 515712000 516249200 522784000 532902400 583057920 607352000 619499040 626944000 627340800 639482880 645311500 660798976 666128000 687616000 728822400 738048000 752332800 774373800 777410560 784176000 799353600 809472000 825998720 836454400 852643840 911028000 932892672 940416000 967967250 971763200 991198464 999192000 1003745280 1031424000 1032498400 1045568000 1065804800 1166115840 1214704000 1238998080 1253888000 1254681600 1278965760 1290623000 1321597952 1332256000 1457644800 1476096000 1548747600 1554821120 1568352000 1598707200 1651997440 1672908800 1822056000 1880832000 1935934500 1943526400 1982396928 1998384000 2062848000 2064996800 2091136000 2131609600 2332231680 2429408000 2477996160 2509363200 2557931520 2581246000 2643195904 2664512000 2915289600 3097495200 3136704000 3197414400 3303994880 3644112000 3761664000 3871869000 3887052800 3964793856 3996768000 4129993600 4182272000 4263219200 4664463360 4858816000 4955992320 5018726400 5162492000 5286391808 5329024000 5830579200 6194990400 6273408000 6394828800 6607989760 7288224000 7743738000 7774105600 7929587712 7993536000 8259987200 8364544000 9717632000 9911984640 10324984000 10658048000 11661158400 12389980800 12546816000 12789657600 13215979520 14576448000 15487476000 15859175424 15987072000 16519974400 19435264000 19823969280 20649968000 21316096000 23322316800 24779961600 25093632000 26431959040 29152896000 30974952000 31974144000 33039948800 38870528000 39647938560 41299936000 49559923200 58305792000 61949904000 63948288000 66079897600 79295877120 82599872000 99119846400 116611584000 123899808000 132159795200 165199744000 198239692800 247799616000 330399488000 396479385600 495599232000 660798976000 991198464000 1982396928000
- Sum of all divisors σ(n): 7308584225280
- Sum of proper divisors (its aliquot sum) s(n): 5326187297280
- 1982396928000 is an abundant number, because the sum of its proper divisors (5326187297280) is greater than itself. Its abundance is 3343790369280
Bases of 1982396928000
- Binary: 111001101100100000001000010010000000000002
- Hexadecimal: 0x1CD90109000
- Base-36: PAP7Y39C
Squares and roots of 1982396928000
- 1982396928000 squared (19823969280002) is 3929897580143837184000000
- 1982396928000 cubed (19823969280003) is 7790616890231776631693770752000000000
-
The
square root of 1982396928000 is 1407976.1816167203 -
The
cube root of 1982396928000 is 12562.1373835581
Scales and comparisons
How big is 1982396928000?- 1,982,396,928,000 seconds is equal to 63,034 years, 4 weeks, 4 days, 21 hours, 20 minutes.
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To count from 1 to 1,982,396,928,000 would take you about one hundred fifty-seven thousand, five hundred eighty-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 1982396928000 cubic inches would be around 1046.8 feet tall.
Recreational maths with 1982396928000
- 1982396928000 backwards is 0008296932891
- The number of decimal digits it has is: 13
- The sum of 1982396928000's digits is 57
- More coming soon!
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The information we have on file for 1982396928000 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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