2004034320600
2,004,034,320,600 is an even composite number composed of eight prime numbers multiplied together.
2004034320600 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 2004034320600:
23 × 3 × 52 × 13 × 17 × 59 × 127 × 2017
(2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 59 × 127 × 2017)See below for interesting mathematical facts about the number 2004034320600 from the Numbermatics database.
Names of 2004034320600
- Cardinal: 2004034320600 can be written as Two trillion, four billion, thirty-four million, three hundred twenty thousand, six hundred.
Scientific notation
- Scientific notation: 2.0040343206 × 1012
Factors of 2004034320600
Divisors of 2004034320600
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 17 20 24 25 26 30 34 39 40 50 51 52 59 60 65 68 75 78 85 100 102 104 118 120 127 130 136 150 156 170 177 195 200 204 221 236 254 255 260 295 300 312 325 340 354 381 390 408 425 442 472 508 510 520 590 600 635 650 663 680 708 762 767 780 850 884 885 975 1003 1016 1020 1105 1180 1270 1275 1300 1326 1416 1475 1524 1534 1560 1651 1700 1768 1770 1905 1950 2006 2017 2040 2159 2210 2301 2360 2540 2550 2600 2652 2950 3009 3048 3068 3175 3302 3315 3400 3540 3810 3835 3900 4012 4034 4318 4420 4425 4602 4953 5015 5080 5100 5304 5525 5900 6018 6051 6136 6350 6477 6604 6630 7080 7493 7620 7670 7800 8024 8068 8255 8636 8840 8850 9204 9525 9906 10030 10085 10200 10795 11050 11505 11800 12036 12102 12700 12954 13039 13208 13260 14986 15045 15240 15340 16136 16510 16575 17272 17700 18408 19050 19175 19812 20060 20170 21590 22100 22479 23010 24072 24204 24765 25075 25400 25908 26078 26221 26520 28067 29972 30090 30255 30680 32385 33020 33150 34289 35400 37465 38100 38350 39117 39624 40120 40340 41275 43180 44200 44958 46020 48408 49530 50150 50425 51816 52156 52442 53975 56134 57525 59944 60180 60510 64770 65195 66040 66300 68578 74930 75225 76200 76700 78234 78663 80680 82550 84201 86360 89916 92040 97409 99060 100300 100850 102867 104312 104884 107950 112268 112395 115050 119003 120360 121020 123825 127381 129540 130390 131105 132600 137156 140335 149860 150450 151275 153400 156468 157326 161925 165100 168402 171445 179832 187325 194818 195585 198120 200600 201700 205734 209768 215900 224536 224790 230100 238006 242040 247650 254762 256159 259080 260780 262210 274312 280670 292227 299720 300900 302550 312936 314652 323850 325975 330200 336804 342890 357009 374650 382143 389636 391170 393315 403400 411468 421005 431800 445757 449580 460200 476012 487045 495300 509524 512318 514335 521560 524420 561340 561975 584454 595015 601800 605100 629304 636905 647700 651950 655525 673608 685780 701675 714018 749300 764286 768477 779272 782340 786630 822936 842010 857225 891514 899160 952024 974090 977925 990600 1019048 1024636 1028670 1048840 1122680 1123950 1168908 1190030 1210200 1273810 1280795 1295400 1303900 1311050 1337271 1371560 1403350 1428036 1461135 1498600 1528572 1536954 1547039 1564680 1573260 1655953 1684020 1714450 1783028 1785045 1910715 1948180 1955850 1966575 2023051 2049272 2057340 2105025 2228785 2247900 2337816 2380060 2435225 2547620 2561590 2571675 2607800 2622100 2674542 2806700 2856072 2922270 2975075 3057144 3073908 3094078 3146520 3184525 3311906 3330067 3368040 3428900 3566056 3570090 3821430 3842385 3896360 3911700 3933150 4046102 4114680 4210050 4354703 4457570 4495800 4641117 4760120 4870450 4967859 5095240 5123180 5143350 5244200 5349084 5613400 5844540 5950150 6069153 6147816 6188156 6369050 6403975 6623812 6660134 6686355 6857800 7140180 7305675 7642860 7684770 7735195 7823400 7866300 8092204 8279765 8420100 8709406 8915140 8925225 9282234 9553575 9740900 9935718 9990201 10115255 10246360 10286700 10698168 11143925 11689080 11900300 12138306 12376312 12738100 12807950 13064109 13247624 13320268 13372710 14280360 14611350 15113381 15285720 15369540 15470390 15732600 16184408 16559530 16650335 16840200 17418812 17830280 17850450 18564468 19107150 19211925 19481800 19871436 19980402 20230510 20573400 21773515 22287850 23205585 23800600 24276612 24839295 25476200 25615900 26128218 26299663 26640536 26745420 29222700 30226762 30345765 30739080 30940780 33119060 33300670 33431775 34837624 35700900 37128936 38214300 38423850 38675975 39742872 39960804 40461020 41398825 43547030 44575700 45340143 46411170 48553224 49678590 49951005 50576275 51231800 52256436 52599326 53490840 56611139 58445400 60453524 60691530 61881560 65320545 66238120 66601340 66863550 71401800 75566905 76428600 76847700 77351950 78898989 79921608 80922040 82797650 83251675 87094060 89151400 90680286 92822340 99357180 99902010 101152550 104512872 105198652 108867575 113222278 116027925 120907048 121383060 124196475 130641090 131498315 133202680 133727100 151133810 151728825 153695400 154703900 157797978 165595300 166503350 169833417 174188120 181360572 185644680 196473953 198714360 199804020 202305100 210397304 217735150 226444556 226700715 232055850 242766120 248392950 249755025 256927477 261282180 262996630 267454200 283055695 302267620 303457650 309407800 315595956 326602725 331190600 333006700 339666834 362721144 377834525 392947906 394494945 399608040 404610200 435470300 452889112 453401430 464111700 496785900 499510050 513854954 522564360 525993260 566111390 589421859 604535240 606915300 631191912 653205450 657491575 666013400 679333668 755669050 770782431 785895812 788989890 849167085 870940600 906802860 928223400 982369765 993571800 999020100 1027709908 1051986520 1132222780 1133503575 1178843718 1213830600 1284637385 1306410900 1314983150 1358667336 1415278475 1511338100 1541564862 1571791624 1577979780 1698334170 1813605720 1964739530 1972474725 1998040200 2055419816 2264445560 2267007150 2357687436 2569274770 2612821800 2629966300 2830556950 2947109295 3022676200 3083129724 3155959560 3340057201 3396668340 3853912155 3929479060 3944949450 4245835425 4534014300 4715374872 4911848825 5138549540 5259932600 5661113900 5894218590 6166259448 6423186925 6680114402 6793336680 7707824310 7858958120 7889898900 8491670850 9068028600 9823697650 10020171603 10277099080 11322227800 11788437180 12846373850 13360228804 14735546475 15415648620 15779797800 16700286005 16983341700 19269560775 19647395300 20040343206 23576874360 25692747700 26720457608 29471092950 30831297240 33400572010 33966683400 38539121550 39294790600 40080686412 50100858015 51385495400 58942185900 66801144020 77078243100 80161372824 83501430025 100201716030 117884371800 133602288040 154156486200 167002860050 200403432060 250504290075 334005720100 400806864120 501008580150 668011440200 1002017160300 2004034320600
- Sum of all divisors σ(n): 7264335052800
- Sum of proper divisors (its aliquot sum) s(n): 5260300732200
- 2004034320600 is an abundant number, because the sum of its proper divisors (5260300732200) is greater than itself. Its abundance is 3256266411600
Bases of 2004034320600
- Binary: 111010010100110011100000011111000110110002
- Hexadecimal: 0x1D299C0F8D8
- Base-36: PKN2AI8O
Squares and roots of 2004034320600
- 2004034320600 squared (20040343206002) is 4016153558142703584360000
- 2004034320600 cubed (20040343206003) is 8048509567317785575530077385816000000
-
The
square root of 2004034320600 is 1415639.1915315145 -
The
cube root of 2004034320600 is 12607.6763515805
Scales and comparisons
How big is 2004034320600?- 2,004,034,320,600 seconds is equal to 63,722 years, 4 weeks, 5 days, 16 hours, 10 minutes.
-
To count from 1 to 2,004,034,320,600 would take you about one hundred fifty-nine thousand, three hundred 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 2004034320600 cubic inches would be around 1050.6 feet tall.
Recreational maths with 2004034320600
- 2004034320600 backwards is 0060234304002
- 2004034320600 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2004034320600's digits is 24
- More coming soon!
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