2004688349664
2,004,688,349,664 is an even composite number composed of seven prime numbers multiplied together.
2004688349664 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 2004688349664:
25 × 3 × 73 × 11 × 13 × 271 × 1571
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 11 × 13 × 271 × 1571)See below for interesting mathematical facts about the number 2004688349664 from the Numbermatics database.
Names of 2004688349664
- Cardinal: 2004688349664 can be written as Two trillion, four billion, six hundred eighty-eight million, three hundred forty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 2.004688349664 × 1012
Factors of 2004688349664
Divisors of 2004688349664
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 49 52 56 66 77 78 84 88 91 96 98 104 112 132 143 147 154 156 168 176 182 196 208 224 231 264 271 273 286 294 308 312 336 343 352 364 392 416 429 462 528 539 542 546 572 588 616 624 637 672 686 728 784 813 858 924 1001 1029 1056 1078 1084 1092 1144 1176 1232 1248 1274 1372 1456 1568 1571 1617 1626 1716 1848 1897 1911 2002 2058 2156 2168 2184 2288 2352 2464 2548 2744 2912 2981 3003 3142 3234 3252 3432 3523 3696 3773 3794 3822 4004 4116 4312 4336 4368 4459 4576 4704 4713 5096 5488 5691 5962 6006 6284 6468 6504 6864 7007 7046 7392 7546 7588 7644 8008 8232 8624 8672 8736 8918 8943 9426 10192 10569 10976 10997 11319 11382 11924 12012 12568 12936 13008 13279 13377 13728 14014 14092 15092 15176 15288 16016 16464 17248 17281 17836 17886 18852 20384 20423 20867 21021 21138 21994 22638 22764 23848 24024 24661 25136 25872 26016 26558 26754 28028 28184 30184 30352 30576 32032 32928 32991 34562 35672 35772 37704 38753 39837 40846 41734 42042 42276 43988 45276 45528 47696 48048 49049 49322 50272 51744 51843 53116 53508 56056 56368 60368 60704 61152 61269 62601 65982 69124 71344 71544 73983 75408 76979 77506 79674 81692 83468 84084 84552 87976 90552 91056 92953 95392 96096 98098 98644 103686 106232 107016 112112 112736 116259 120736 120967 122538 125202 131964 138248 142688 142961 143088 146069 147147 147966 150816 153958 155012 159348 163384 166936 168168 169104 172627 175952 181104 182112 185906 196196 197288 207372 212464 214032 224224 224653 230937 232518 241934 245076 250404 263928 271271 276496 278859 285922 286176 292138 294294 295932 307916 310024 318696 326768 333872 336336 338208 345254 351904 362208 362901 371812 392392 394576 414744 424928 425741 428064 428883 438207 449306 461874 465036 483868 490152 500808 517881 527856 538853 542542 552992 557718 571844 584276 588588 591864 615832 620048 637392 653536 667744 672672 673959 690508 725802 743624 784784 789152 813813 829488 846769 851482 857766 876414 898612 923748 930072 967736 980304 1000727 1001616 1022483 1035762 1055712 1077706 1085084 1115436 1143688 1168552 1177176 1183728 1208389 1231664 1240096 1274784 1277223 1347918 1381016 1451604 1487248 1569568 1572571 1616559 1627626 1658976 1693538 1702964 1715532 1752828 1797224 1847496 1860144 1898897 1935472 1960608 2001454 2003232 2044966 2071524 2155412 2170168 2230872 2287376 2337104 2354352 2367456 2416778 2463328 2540307 2554446 2695836 2762032 2903208 2974496 2980187 3002181 3067449 3145142 3233118 3255252 3387076 3405928 3431064 3505656 3594448 3625167 3694992 3720288 3797794 3870944 4002908 4089932 4143048 4310824 4340336 4461744 4574752 4674208 4683151 4708704 4717713 4833556 5080614 5108892 5391672 5524064 5534633 5696691 5806416 5927383 5960374 6004362 6134898 6290284 6466236 6510504 6774152 6811856 6862128 7005089 7011312 7188896 7250334 7389984 7595588 8005816 8179864 8286096 8621648 8680672 8923488 8940561 9366302 9435426 9667112 10161228 10217784 10783344 11007997 11069266 11393382 11612832 11854766 11920748 12008724 12269796 12580568 12932472 13021008 13292279 13548304 13623712 13724256 14010178 14022624 14049453 14500668 15191176 16011632 16359728 16572192 16603899 17243296 17782149 17881122 18732604 18870852 19334224 20322456 20435568 20861309 21015267 21566688 22015994 22138532 22786764 23709532 23841496 24017448 24539592 25161136 25864944 26042016 26584558 27096608 28020356 28098906 29001336 30382352 32023264 32719456 32782057 33023991 33207798 35564298 35762244 37465208 37741704 38668448 38742431 39876837 40644912 40871136 41722618 42030534 44031988 44277064 45573528 47419064 47682992 48034896 49079184 50322272 51729888 53169116 56040712 56197812 58002672 60764704 60880963 62583927 65564114 66047982 66415596 71128596 71524488 74930416 75483408 77055979 77484862 79753674 81289824 83445236 84061068 88063976 88554128 91147056 94838128 95365984 96069792 98158368 98346171 106338232 112081424 112395624 116005344 116227293 121761926 125167854 131128228 132095964 132831192 142257192 143048976 146029163 149860832 150966816 154111958 154969724 159507348 166890472 168122136 176127952 177108256 182294112 182642889 189676256 196692342 212676464 224162848 224791248 229474399 231167937 232454586 243523852 250335708 262256456 264191928 265662384 271197017 284514384 286097952 292058326 308223916 309939448 319014696 333780944 336244272 352255904 365285778 393384684 425352928 426166741 438087489 449582496 458948798 462335874 464909172 487047704 500671416 524512912 528383856 531324768 542394034 569028768 584116652 616447832 619878896 638029392 667561888 672488544 688423197 730571556 786769368 813591051 852333482 876174978 917897596 924671748 929818344 974095408 1001342832 1049025824 1056767712 1084788068 1168233304 1232895664 1239757792 1276058784 1278500223 1376846394 1461143112 1573538736 1606320793 1627182102 1704666964 1752349956 1835795192 1849343496 1859636688 1898379119 1948190816 2002685664 2169576136 2336466608 2465791328 2557000446 2753692788 2922286224 2983167187 3147077472 3212641586 3254364204 3409333928 3504699912 3671590384 3698686992 3719273376 3796758238 4339152272 4672933216 4818962379 5114000892 5507385576 5695137357 5844572448 5966334374 6425283172 6508728408 6818667856 7009399824 7343180768 7397373984 7593516476 8678304544 8949501561 9637924758 10228001784 11014771152 11390274714 11932668748 12850566344 13017456816 13637335712 14018799648 15187032952 17899003122 19275849516 20456003568 20882170309 22029542304 22780549428 23865337496 25701132688 26034913632 30374065904 35798006244 38551699032 40912007136 41764340618 45561098856 47730674992 51402265376 60748131808 62646510927 71596012488 77103398064 83528681236 91122197712 95461349984 125293021854 143192024976 154206796128 167057362472 182244395424 250586043708 286384049952 334114724944 501172087416 668229449888 1002344174832 2004688349664
- Sum of all divisors σ(n): 7240878489600
- Sum of proper divisors (its aliquot sum) s(n): 5236190139936
- 2004688349664 is an abundant number, because the sum of its proper divisors (5236190139936) is greater than itself. Its abundance is 3231501790272
Bases of 2004688349664
- Binary: 111010010110000001011110010101001111000002
- Hexadecimal: 0x1D2C0BCA9E0
- Base-36: PKXVOMAO
Squares and roots of 2004688349664
- 2004688349664 squared (20046883496642) is 4018775379278571928912896
- 2004688349664 cubed (20046883496643) is 8056392182756276023091110607846866944
-
The
square root of 2004688349664 is 1415870.1740145527 -
The
cube root of 2004688349664 is 12609.0477336005
Scales and comparisons
How big is 2004688349664?- 2,004,688,349,664 seconds is equal to 63,742 years, 46 weeks, 1 day, 10 hours, 54 minutes, 24 seconds.
-
To count from 1 to 2,004,688,349,664 would take you about one hundred fifty-nine thousand, three hundred fifty-seven 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 2004688349664 cubic inches would be around 1050.8 feet tall.
Recreational maths with 2004688349664
- 2004688349664 backwards is 4669438864002
- The number of decimal digits it has is: 13
- The sum of 2004688349664's digits is 60
- More coming soon!
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The information we have on file for 2004688349664 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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