1664104004416000
1,664,104,004,416,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 1664104004416000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2560 divisors.
1664104004416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 1664104004416000:
29 × 53 × 7 × 173 × 293 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 17 × 17 × 29 × 29 × 29 × 31)See below for interesting mathematical facts about the number 1664104004416000 from the Numbermatics database.
Names of 1664104004416000
- Cardinal: 1664104004416000 can be written as One quadrillion, six hundred sixty-four trillion, one hundred four billion, four million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.664104004416 × 1015
Factors of 1664104004416000
Divisors of 1664104004416000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 31 32 34 35 40 50 56 58 62 64 68 70 80 85 100 112 116 119 124 125 128 136 140 145 155 160 170 175 200 203 217 224 232 238 248 250 256 272 280 289 290 310 320 340 350 400 406 425 434 448 464 476 493 496 500 512 527 544 560 578 580 595 620 640 680 700 725 775 800 812 841 850 868 875 896 899 928 952 986 992 1000 1015 1054 1085 1088 1120 1156 1160 1190 1240 1280 1360 1400 1445 1450 1550 1600 1624 1682 1700 1736 1750 1792 1798 1856 1904 1972 1984 2000 2023 2030 2108 2125 2170 2176 2240 2312 2320 2380 2465 2480 2560 2635 2720 2800 2890 2900 2975 3100 3200 3248 3364 3400 3451 3472 3500 3584 3596 3625 3689 3712 3808 3875 3944 3968 4000 4046 4060 4205 4216 4250 4340 4352 4480 4495 4624 4640 4760 4913 4930 4960 5075 5270 5425 5440 5600 5780 5800 5887 5950 6200 6293 6400 6496 6728 6800 6902 6944 7000 7192 7225 7250 7378 7424 7616 7750 7888 7936 8000 8092 8120 8381 8410 8432 8500 8680 8704 8959 8960 8990 9248 9280 9520 9826 9860 9920 10115 10150 10540 10850 10880 11200 11560 11600 11774 11900 12325 12400 12586 12800 12992 13175 13456 13600 13804 13888 14000 14297 14384 14450 14500 14756 14848 14875 15232 15283 15500 15776 15872 16000 16184 16240 16762 16820 16864 17000 17255 17360 17918 17920 17980 18445 18496 18560 19040 19652 19720 19840 20230 20300 21025 21080 21700 21760 22400 22475 23120 23200 23548 23800 24389 24565 24650 24800 25172 25375 25984 26071 26350 26912 27125 27200 27608 27776 28000 28594 28768 28900 29000 29435 29512 29750 30464 30566 31000 31465 31552 32000 32368 32480 33524 33640 33728 34000 34391 34510 34720 35836 35960 36125 36890 36992 37120 38080 39304 39440 39680 40460 40600 41905 42050 42160 43400 43520 44795 44800 44950 46240 46400 47096 47600 48778 49130 49300 49600 50344 50575 50750 51968 52142 52700 53824 54250 54400 55216 55552 56000 57188 57536 57800 58000 58667 58870 59024 59500 60928 61132 61625 62000 62713 62930 63104 64000 64736 64960 65875 67048 67280 67456 68000 68782 69020 69440 71485 71672 71920 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112774736000 114765793408 115162906880 115691324000 116395328000 118864571744 119823157000 120552304000 122360588560 123670036000 126307704320 128086823000 130008125345 132218656000 134201935840 135018580480 139840672640 141337184000 143457241760 143953633600 148580714680 152950735700 153373640960 157884630400 163951133440 164518438400 167752419800 168773225600 169357216000 174800840800 179321552200 179942042000 185106118400 185725893350 185746624000 191188419625 191717051200 195776941696 197355788000 197872057600 198556736000 204938916800 205648048000 208013000552 209690524750 210966532000 214723097344 218501051000 224151940250 225549472000 229531586816 230325813760 231382648000 237729143488 239646314000 241104608000 244721177120 247340072000 256173646000 260016250690 264437312000 268403871680 279681345280 282674368000 286914483520 287907267200 297161429360 305901471400 306747281920 315769260800 327902266880 335504839600 337546451200 338714432000 349601681600 358643104400 359884084000 370212236800 371451786700 382376839250 383434102400 391553883392 394711576000 395744115200 409877833600 411296096000 416026001104 419381049500 421933064000 429446194688 437002102000 448303880500 451098944000 459063173632 462765296000 464314733375 475458286976 479292628000 482209216000 489442354240 494680144000 512347292000 520032501380 536807743360 559362690560 573828967040 575814534400 594322858720 611802942800 631538521600 650040626725 671009679200 675092902400 699203363200 717286208800 719768168000 742903573400 764753678500 766868204800 783107766784 789423152000 819755667200 822592192000 832052002208 838762099000 843866128000 874004204000 896607761000 925530592000 928629466750 950916573952 958585256000 978884708480 989360288000 1024694584000 1040065002760 1073615486720 1147657934080 1151629068800 1188645717440 1223605885600 1300081253450 1342019358400 1398406726400 1434572417600 1439536336000 1485807146800 1529507357000 1533736409600 1578846304000 1639511334400 1664104004416 1677524198000 1687732256000 1748008408000 1793215522000 1851061184000 1857258933500 1901833147904 1917170512000 1957769416960 1978720576000 2049389168000 2080130005520 2147230973440 2295315868160 2377291434880 2447211771200 2600162506900 2684038716800 2796813452800 2869144835200 2879072672000 2971614293600 3059014714000 3157692608000 3250203133625 3328208008832 3355048396000 3375464512000 3496016816000 3586431044000 3714517867000 3834341024000 3915538833920 4098778336000 4160260011040 4754582869760 4894423542400 5200325013800 5368077433600 5738289670400 5758145344000 5943228587200 6118029428000 6500406267250 6656416017664 6710096792000 6992033632000 7172862088000 7429035734000 7668682048000 8197556672000 8320520022080 9509165739520 9788847084800 10400650027600 10736154867200 11476579340800 11886457174400 12236058856000 13000812534500 13312832035328 13420193584000 13984067264000 14345724176000 14858071468000 16641040044160 19577694169600 20801300055200 23772914348800 24472117712000 26001625069000 26840387168000 28691448352000 29716142936000 33282080088320 41602600110400 47545828697600 48944235424000 52003250138000 53680774336000 57382896704000 59432285872000 66564160176640 83205200220800 97888470848000 104006500276000 118864571744000 166410400441600 208013000552000 237729143488000 332820800883200 416026001104000 832052002208000 1664104004416000
- Sum of all divisors σ(n): 5386963669401600
- Sum of proper divisors (its aliquot sum) s(n): 3722859664985600
- 1664104004416000 is an abundant number, because the sum of its proper divisors (3722859664985600) is greater than itself. Its abundance is 2058755660569600
Bases of 1664104004416000
- Binary: 1011110100101111110011010000000110101110010000000002
- Hexadecimal: 0x5E97E680D7200
- Base-36: GDVITQC4XS
Squares and roots of 1664104004416000
- 1664104004416000 squared (16641040044160002) is 2769242137513366547501056000000
- 1664104004416000 cubed (16641040044160003) is 4608306930233516604421723967588663296000000000
-
The
square root of 1664104004416000 is 40793430.8978296161 -
The
cube root of 1664104004416000 is 118502.3115364105
Scales and comparisons
How big is 1664104004416000?- 1,664,104,004,416,000 seconds is equal to 52,913,359 years, 48 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 1,664,104,004,416,000 would take you about one hundred fifty-eight million, seven hundred forty thousand and seventy-nine 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 1664104004416000 cubic inches would be around 9875.2 feet tall.
Recreational maths with 1664104004416000
- 1664104004416000 backwards is 0006144004014661
- The number of decimal digits it has is: 16
- The sum of 1664104004416000's digits is 37
- More coming soon!
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"Number 1664104004416000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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The information we have on file for 1664104004416000 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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