2004419208960
2,004,419,208,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 2004419208960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
2004419208960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 2004419208960:
28 × 36 × 5 × 7 × 19 × 31 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 19 × 31 × 521)See below for interesting mathematical facts about the number 2004419208960 from the Numbermatics database.
Names of 2004419208960
- Cardinal: 2004419208960 can be written as Two trillion, four billion, four hundred nineteen million, two hundred eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.00441920896 × 1012
Factors of 2004419208960
Divisors of 2004419208960
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 31 32 35 36 38 40 42 45 48 54 56 57 60 62 63 64 70 72 76 80 81 84 90 93 95 96 105 108 112 114 120 124 126 128 133 135 140 144 152 155 160 162 168 171 180 186 189 190 192 210 216 217 224 228 240 243 248 252 256 266 270 279 280 285 288 304 310 315 320 324 336 342 360 372 378 380 384 399 405 420 432 434 448 456 465 480 486 496 504 513 521 532 540 558 560 567 570 576 589 608 620 630 640 648 651 665 672 684 720 729 744 756 760 768 798 810 837 840 855 864 868 896 912 930 945 960 972 992 1008 1026 1042 1064 1080 1085 1116 1120 1134 1140 1152 1178 1197 1215 1216 1240 1260 1280 1296 1302 1330 1344 1368 1395 1440 1458 1488 1512 1520 1539 1563 1596 1620 1674 1680 1701 1710 1728 1736 1767 1792 1824 1860 1890 1920 1944 1953 1984 1995 2016 2052 2084 2128 2160 2170 2232 2240 2268 2280 2304 2356 2394 2430 2432 2480 2511 2520 2565 2592 2604 2605 2660 2688 2736 2790 2835 2880 2916 2945 2976 3024 3040 3078 3126 3192 3240 3255 3348 3360 3402 3420 3456 3472 3534 3591 3645 3647 3648 3720 3780 3840 3888 3906 3968 3990 4032 4104 4123 4168 4185 4256 4320 4340 4464 4480 4536 4560 4617 4689 4712 4788 4860 4864 4960 5022 5040 5103 5130 5184 5208 5210 5301 5320 5376 5472 5580 5670 5760 5832 5859 5890 5952 5985 6048 6080 6156 6252 6384 6480 6510 6696 6720 6804 6840 6912 6944 7068 7182 7290 7294 7296 7440 7533 7560 7695 7776 7812 7815 7936 7980 8064 8208 8246 8336 8370 8505 8512 8640 8680 8835 8928 8960 9072 9120 9234 9378 9424 9576 9720 9765 9899 9920 10044 10080 10206 10260 10368 10416 10420 10602 10640 10773 10941 10944 11160 11340 11520 11664 11718 11780 11904 11970 12096 12160 12312 12369 12504 12555 12768 12960 13020 13392 13440 13608 13680 13851 13888 14067 14136 14364 14580 14588 14592 14880 15066 15120 15390 15552 15624 15630 15903 15960 16128 16151 16416 16492 16672 16740 17010 17024 17280 17360 17577 17670 17856 17955 18144 18235 18240 18468 18756 18848 19152 19440 19530 19798 19840 20088 20160 20412 20520 20615 20736 20832 20840 21204 21280 21546 21882 21888 22320 22599 22680 23085 23328 23436 23445 23560 23808 23940 24192 24320 24624 24738 25008 25110 25515 25536 25920 26040 26505 26784 26880 27216 27360 27702 27776 28134 28272 28728 29160 29176 29295 29697 29760 30132 30240 30780 31104 31248 31260 31806 31920 32302 32319 32823 32832 32984 33344 33480 34020 34048 34560 34720 35154 35340 35712 35910 36288 36470 36480 36936 37107 37512 37665 37696 38304 38880 39060 39596 39680 40176 40320 40824 41040 41230 41664 41680 42201 42408 42560 43092 43764 43776 44640 45198 45360 46170 46656 46872 46890 47120 47709 47880 48384 48453 49248 49476 49495 50016 50220 51030 51072 51840 52080 52731 53010 53568 53865 54432 54705 54720 55404 55552 56268 56544 57456 58320 58352 58590 59394 59520 60264 60480 61560 61845 62208 62496 62520 63612 63840 64604 64638 65646 65664 65968 66688 66960 68040 69255 69293 69440 70308 70335 70680 71424 71820 72576 72940 72960 73872 74214 75024 75330 75392 76608 77760 78120 79192 79515 80352 80640 80755 81648 82080 82460 83328 83360 84402 84816 85120 86184 87528 87885 89091 89280 90396 90720 92340 93312 93744 93780 94240 95418 95760 96906 96957 98469 98496 98952 98990 100032 100440 102060 102144 103680 104160 105462 106020 107136 107730 108864 109410 109440 110808 111321 112536 112995 113057 113088 114912 116640 116704 117180 118788 119040 120528 120960 123120 123690 124992 125040 126603 127224 127680 129208 129276 131292 131328 131936 133376 133920 136080 138510 138586 138880 140616 140670 141360 143127 143640 145152 145359 145880 147744 148428 148485 150048 150660 150784 153216 155520 156240 158193 158384 159030 160704 161510 161595 163296 164115 164160 164920 166656 166720 168804 169632 170240 172368 175056 175770 178182 178560 180792 181440 184680 185535 186624 187488 187560 188480 190836 191520 193812 193914 196938 196992 197904 197980 200064 200880 204120 207879 208320 210924 211005 212040 214272 215460 217728 218820 218880 221616 222642 225072 225990 226114 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17739008 17811360 18005760 18089120 18315234 18320256 18412140 18605952 18709110 18906048 19006080 19243656 19332747 19623465 19639616 19956384 20037780 20248704 20256480 20350260 20355840 20673280 20684160 20931696 21006720 21269304 21373632 21381840 21480830 21706944 22094568 22173760 22450932 22498560 22807296 22900320 23257440 23548158 23632560 23748480 24045336 24054570 24307776 24420312 24549520 24820992 24856389 24945480 25208064 25310880 25658208 25776996 26164620 26586630 26608512 26717040 27008640 27133680 27472851 27480384 27618210 27908928 28063665 28359072 28498176 28509120 28865484 28926720 28942592 29459424 29934576 30056670 30384720 30525390 30533760 31009920 31026240 31397544 31510080 32060448 32072760 32221245 32410368 32560416 33141852 33260640 33676398 33747840 34210944 34350480 34369328 34886160 35448840 35622720 36081855 36178240 36630468 36640512 36824280 37211904 37418220 37812096 38012160 38487312 38665494 39246930 39279232 39912768 40075560 40497408 40512960 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101243520 102632832 103107984 104658480 106346520 106868160 108534720 109891404 109921536 110472840 111635712 112254660 113436288 114036480 115461936 115996482 117740790 117837696 119738304 120226680 121538880 122101560 124104960 124281945 125590176 126040320 128241792 128291040 128884980 130241664 132567408 133042560 134705592 137364255 137401920 137477312 139544640 141795360 142490880 144327420 144712960 146521872 147297120 149138334 149672880 153949248 154661976 156987720 159651072 160302240 162051840 162802080 164837106 165709260 167453568 168381990 170154432 171054720 171846640 173994723 176756544 179607456 183152340 183202560 186059520 188385264 189060480 192362688 192436560 193327470 195362496 196396160 198851112 199563840 202058388 202487040 205265664 206215968 209316960 212693040 213736320 217069440 219782808 220945680 223707501 224509320 226872576 230923872 231992964 235481580 235675392 239476608 240453360 243077760 244203120 248563890 251180352 252572985 256483584 256582080 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3181617792 3232934208 3296742120 3403088640 3479894460 3516524928 3535130880 3579320016 3592149120 3711887424 3767705280 3847253760 3907249920 3977022240 4041167760 4124319360 4175873352 4310578944 4395656160 4474150020 4618477440 4639859280 4772426688 4949183232 5023607040 5219841690 5274787392 5302696320 5388223680 5567831136 5860874880 5965533360 6186479040 6263810028 6363235584 6465868416 6593484240 6959788920 7033049856 7158640032 7184298240 7423774848 7535410560 7829762535 7954044480 8082335520 8248638720 8351746704 8791312320 8948300040 9236954880 9279718560 9544853376 10439683380 10549574784 10605392640 10776447360 11135662272 11721749760 11931066720 12372958080 12527620056 12931736832 13186968480 13919577840 14317280064 14847549696 15070821120 15659525070 15908088960 16164671040 16703493408 17582624640 17896600080 18559437120 19089706752 20879366760 21099149568 21552894720 22271324544 23862133440 24745916160 25055240112 26373936960 27839155680 28634560128 31319050140 31816177920 32329342080 33406986816 35165249280 35793200160 37118874240 41758733520 44542649088 47724266880 50110480224 52747873920 55678311360 57269120256 62638100280 64658684160 66813973632 71586400320 74237748480 83517467040 95448533760 100220960448 105495747840 111356622720 125276200560 133627947264 143172800640 167034934080 200441920896 222713245440 250552401120 286345601280 334069868160 400883841792 501104802240 668139736320 1002209604480 2004419208960
- Sum of all divisors σ(n): 8956385464320
- Sum of proper divisors (its aliquot sum) s(n): 6951966255360
- 2004419208960 is an abundant number, because the sum of its proper divisors (6951966255360) is greater than itself. Its abundance is 4947547046400
Bases of 2004419208960
- Binary: 111010010101100001011000111100111000000002
- Hexadecimal: 0x1D2B0B1E700
- Base-36: PKTFG000
Squares and roots of 2004419208960
- 2004419208960 squared (20044192089602) is 4017696365247832144281600
- 2004419208960 cubed (20044192089603) is 8053147770271526940995785259483136000
-
The
square root of 2004419208960 is 1415775.1265508237 -
The
cube root of 2004419208960 is 12608.4834297831
Scales and comparisons
How big is 2004419208960?- 2,004,419,208,960 seconds is equal to 63,734 years, 17 weeks, 1 day, 9 hours, 36 minutes.
-
To count from 1 to 2,004,419,208,960 would take you about one hundred fifty-nine thousand, three hundred thirty-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 2004419208960 cubic inches would be around 1050.7 feet tall.
Recreational maths with 2004419208960
- 2004419208960 backwards is 0698029144002
- 2004419208960 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2004419208960's digits is 45
- More coming soon!
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"Number 2004419208960 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 2004419208960 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/2004419208960/
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The information we have on file for 2004419208960 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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