2002042385280
2,002,042,385,280 is an even composite number composed of seven prime numbers multiplied together.
2002042385280 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 2002042385280:
27 × 32 × 5 × 7 × 29 × 41 × 41761
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 29 × 41 × 41761)See below for interesting mathematical facts about the number 2002042385280 from the Numbermatics database.
Names of 2002042385280
- Cardinal: 2002042385280 can be written as Two trillion, two billion, forty-two million, three hundred eighty-five thousand, two hundred eighty.
Scientific notation
- Scientific notation: 2.00204238528 × 1012
Factors of 2002042385280
Divisors of 2002042385280
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 29 30 32 35 36 40 41 42 45 48 56 58 60 63 64 70 72 80 82 84 87 90 96 105 112 116 120 123 126 128 140 144 145 160 164 168 174 180 192 203 205 210 224 232 240 246 252 261 280 287 288 290 315 320 328 336 348 360 369 384 406 410 420 435 448 464 480 492 504 522 560 574 576 580 609 615 630 640 656 672 696 720 738 812 820 840 861 870 896 928 960 984 1008 1015 1044 1120 1148 1152 1160 1189 1218 1230 1260 1305 1312 1344 1392 1435 1440 1476 1624 1640 1680 1722 1740 1827 1845 1856 1920 1968 2016 2030 2088 2240 2296 2320 2378 2436 2460 2520 2583 2610 2624 2688 2784 2870 2880 2952 3045 3248 3280 3360 3444 3480 3567 3654 3690 3712 3936 4032 4060 4176 4305 4480 4592 4640 4756 4872 4920 5040 5166 5220 5248 5568 5740 5760 5904 5945 6090 6496 6560 6720 6888 6960 7134 7308 7380 7872 8064 8120 8323 8352 8610 9135 9184 9280 9512 9744 9840 10080 10332 10440 10701 11136 11480 11808 11890 12180 12915 12992 13120 13440 13776 13920 14268 14616 14760 15744 16240 16646 16704 17220 17835 18270 18368 18560 19024 19488 19680 20160 20664 20880 21402 22960 23616 23780 24360 24969 25830 25984 26240 27552 27840 28536 29232 29520 32480 33292 33408 34440 35670 36540 36736 38048 38976 39360 40320 41328 41615 41760 41761 42804 45920 47232 47560 48720 49938 51660 53505 55104 55680 57072 58464 59040 64960 66584 68880 71340 73080 74907 76096 77952 78720 82656 83230 83520 83522 85608 91840 95120 97440 99876 103320 107010 110208 114144 116928 118080 124845 125283 129920 133168 137760 142680 146160 149814 152192 165312 166460 167040 167044 171216 183680 190240 194880 199752 206640 208805 214020 228288 233856 236160 249690 250566 266336 275520 285360 292320 292327 299628 330624 332920 334088 342432 374535 375849 380480 389760 399504 413280 417610 428040 456576 499380 501132 532672 551040 570720 584640 584654 599256 626415 665840 668176 684864 749070 751698 760960 799008 826560 835220 856080 876981 998760 1002264 1065344 1141440 1169280 1169308 1198512 1211069 1252830 1331680 1336352 1369728 1461635 1498140 1503396 1598016 1653120 1670440 1712160 1712201 1753962 1879245 1997520 2004528 2282880 2338616 2397024 2422138 2505660 2630943 2663360 2672704 2923270 2996280 3006792 3196032 3340880 3424320 3424402 3507924 3633207 3758490 3995040 4009056 4384905 4677232 4794048 4844276 5011320 5136603 5261886 5326720 5345408 5846540 5992560 6013584 6055345 6681760 6848640 6848804 7015848 7266414 7516980 7990080 8018112 8477483 8561005 8769810 9354464 9588096 9688552 10022640 10273206 10523772 10899621 11693080 11985120 11985407 12027168 12110690 13154715 13363520 13697608 14031696 14532828 15033960 15409809 15980160 16036224 16954966 17122010 17539620 18166035 18708928 19377104 20045280 20546412 21047544 21799242 23386160 23970240 23970814 24054336 24221380 25432449 25683015 26309430 26727040 27395216 28063392 29065656 30067920 30819618 33909932 34244020 35079240 35956221 36332070 37417856 38754208 40090560 41092824 42095088 42387415 43598484 46772320 47940480 47941628 48108672 48442760 49653829 50864898 51366030 52618860 54498105 54790432 56126784 58131312 59927035 60135840 61639236 67819864 68488040 70158480 71912442 72664140 76297347 77049045 77508416 80181120 82185648 84190176 84774830 87196968 93544640 95883256 96885520 99307658 101729796 102732060 105237720 107868663 108996210 109580864 112253568 116262624 119854070 120271680 123278472 127162245 135639728 136976080 140316960 143824884 145328280 148961487 152594694 154098090 155016832 164371296 168380352 169549660 174393936 179781105 187089280 191766512 193771040 198615316 203459592 205464120 210475440 215737326 217992420 219161728 232525248 239708140 240543360 246556944 248269145 254324490 271279456 273952160 280633920 287649768 290656560 297922974 305189388 308196180 328742592 336760704 339099320 347576803 348787872 359562210 381486735 383533024 387542080 397230632 406919184 410928240 420950880 431474652 435984840 446884461 465050496 479416280 493113888 496538290 508648980 539343315 542558912 547904320 561267840 575299536 581313120 595845948 610378776 616392360 657485184 678198640 695153606 697575744 719124420 744807435 762973470 767066048 775084160 794461264 813838368 821856480 841901760 862949304 871969680 893768922 958832560 986227776 993076580 1017297960 1042730409 1078686630 1085117824 1095808640 1150599072 1162626240 1191691896 1220757552 1232784720 1356397280 1390307212 1395151488 1438248840 1489614870 1525946940 1534132096 1588922528 1627676736 1643712960 1683803520 1725898608 1737884015 1743939360 1787537844 1917665120 1972455552 1986153160 2034595920 2085460818 2157373260 2234422305 2301198144 2325252480 2383383792 2441515104 2465569440 2712794560 2780614424 2876497680 2979229740 3051893880 3128191227 3177845056 3255353472 3287425920 3451797216 3475768030 3487878720 3575075688 3835330240 3972306320 4069191840 4170921636 4314746520 4468844610 4602396288 4766767584 4883030208 4931138880 5213652045 5425589120 5561228848 5752995360 5958459480 6103787760 6256382454 6355690112 6903594432 6951536060 6975757440 7150151376 7670660480 7944612640 8138383680 8341843272 8629493040 8937689220 9533535168 9766060416 9862277760 10427304090 11122457696 11505990720 11916918960 12207575520 12512764908 13807188864 13903072120 14300302752 15640956135 15889225280 16276767360 16683686544 17258986080 17875378440 19067070336 20854608180 22244915392 23011981440 23833837920 24415151040 25025529816 27806144240 28600605504 31281912270 31778450560 33367373088 34517972160 35750756880 41709216360 44489830784 47667675840 48830302080 50051059632 55612288480 57201211008 62563824540 66734746176 69035944320 71501513760 83418432720 95335351680 100102119264 111224576960 125127649080 133469492352 143003027520 166836865440 200204238528 222449153920 250255298160 286006055040 333673730880 400408477056 500510596320 667347461760 1001021192640 2002042385280
- Sum of all divisors σ(n): 8372913494400
- Sum of proper divisors (its aliquot sum) s(n): 6370871109120
- 2002042385280 is an abundant number, because the sum of its proper divisors (6370871109120) is greater than itself. Its abundance is 4368828723840
Bases of 2002042385280
- Binary: 111010010001000110000011001110011100000002
- Hexadecimal: 0x1D223067380
- Base-36: PJQ4CF40
Squares and roots of 2002042385280
- 2002042385280 squared (20020423852802) is 4008173712457631960678400
- 2002042385280 cubed (20020423852803) is 8024533659905270341496947102973952000
-
The
square root of 2002042385280 is 1414935.4703589843 -
The
cube root of 2002042385280 is 12603.4977802435
Scales and comparisons
How big is 2002042385280?- 2,002,042,385,280 seconds is equal to 63,658 years, 39 weeks, 1 day, 20 hours, 48 minutes.
-
To count from 1 to 2,002,042,385,280 would take you about one hundred fifty-nine thousand, one hundred forty-six 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 2002042385280 cubic inches would be around 1050.3 feet tall.
Recreational maths with 2002042385280
- 2002042385280 backwards is 0825832402002
- 2002042385280 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2002042385280's digits is 36
- More coming soon!
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