6404042330400
6,404,042,330,400 is an even composite number composed of seven prime numbers multiplied together.
6404042330400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 6404042330400:
25 × 3 × 52 × 11 × 133 × 41 × 2693
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 13 × 13 × 41 × 2693)See below for interesting mathematical facts about the number 6404042330400 from the Numbermatics database.
Names of 6404042330400
- Cardinal: 6404042330400 can be written as Six trillion, four hundred four billion, forty-two million, three hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 6.4040423304 × 1012
Factors of 6404042330400
Divisors of 6404042330400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 41 44 48 50 52 55 60 65 66 75 78 80 82 88 96 100 104 110 120 123 130 132 143 150 156 160 164 165 169 176 195 200 205 208 220 240 246 260 264 275 286 300 312 325 328 330 338 352 390 400 410 416 429 440 451 480 492 507 520 528 533 550 572 600 615 624 650 656 660 676 715 780 800 820 825 845 858 880 902 975 984 1014 1025 1040 1056 1066 1100 1144 1200 1230 1248 1300 1312 1320 1352 1353 1430 1560 1599 1640 1650 1690 1716 1760 1804 1859 1950 1968 2028 2050 2080 2132 2145 2197 2200 2255 2288 2400 2460 2535 2600 2640 2665 2693 2704 2706 2860 3075 3120 3198 3280 3300 3380 3432 3575 3608 3718 3900 3936 4056 4100 4225 4264 4290 4394 4400 4510 4576 4920 5070 5200 5280 5330 5386 5408 5412 5577 5720 5863 6150 6240 6396 6560 6591 6600 6760 6765 6864 6929 7150 7216 7436 7800 7995 8079 8112 8200 8450 8528 8580 8788 8800 9020 9295 9840 10140 10400 10660 10725 10772 10824 10985 11154 11275 11440 11726 12300 12675 12792 13182 13200 13325 13465 13520 13530 13728 13858 14300 14432 14872 15600 15990 16158 16224 16400 16900 17056 17160 17576 17589 18040 18590 19680 20280 20787 21320 21450 21544 21648 21970 22308 22550 22880 23452 24167 24600 25350 25584 26364 26400 26650 26930 27040 27060 27716 27885 28600 29315 29623 29744 31200 31980 32316 32800 32955 33800 33825 34320 34645 35009 35152 35178 36080 37180 39975 40395 40560 41574 42640 42900 43088 43296 43940 44616 45100 46475 46904 48334 49200 50700 51168 52728 53300 53860 54120 54925 55432 55770 57200 58630 59246 59488 63960 64632 65910 67325 67600 67650 68640 69290 70018 70304 70356 72160 72501 74360 76219 79950 80790 81120 83148 85280 85800 86176 87880 87945 88869 89232 90077 90200 92950 93808 96668 98400 101400 103935 105027 105456 106600 107720 108240 109850 110413 110864 111540 114400 117260 118492 120835 127920 129264 131820 134650 135200 135300 138580 139425 140036 140712 145002 146575 148115 148720 152438 159900 161580 164775 166296 171600 173225 175045 175760 175890 177738 178464 180154 180400 185900 187616 193336 201975 202800 207870 210054 210912 213200 215440 216480 219700 220826 221728 223080 228657 234520 236984 241670 255840 258528 263640 269300 270231 270600 277160 278850 280072 281424 290004 293150 296230 297440 304876 319800 323160 329550 331239 332592 343200 346450 350090 351520 351780 355476 360308 360800 362505 371800 381095 385099 386672 403950 405600 415740 420108 426400 430880 439400 439725 441652 444345 446160 450385 455117 457314 469040 473968 483340 519675 525135 527280 538600 540462 541200 552065 554320 557700 560144 562848 580008 586300 592460 604175 609752 639600 646320 659100 662478 665184 692900 700180 703560 710952 720616 725010 740575 743600 762190 770198 773344 807900 831480 840216 875225 878800 879450 883304 888690 892320 900770 910234 914628 938080 947936 966680 990847 1039350 1050270 1054560 1077200 1080924 1082400 1104130 1108640 1115400 1120288 1143285 1155297 1160016 1172600 1184920 1208350 1214543 1219504 1279200 1292640 1318200 1324956 1351155 1365351 1385800 1400360 1407120 1421904 1435369 1441232 1450020 1481150 1487200 1524380 1540396 1615800 1656195 1662960 1680432 1750450 1757600 1758900 1766608 1777380 1801540 1812525 1820468 1829256 1905475 1925495 1933360 1981694 2078700 2100540 2154400 2161848 2208260 2221725 2230800 2251925 2275585 2286570 2310594 2320032 2345200 2369840 2416700 2429086 2439008 2625675 2636400 2649912 2702310 2730702 2760325 2771600 2800720 2814240 2843808 2870738 2882464 2900040 2962300 2972541 3048760 3080792 3231600 3312390 3325920 3360864 3500900 3517800 3533216 3554760 3603080 3625050 3640936 3643629 3658512 3810950 3850990 3866720 3963388 4157400 4201080 4306107 4323696 4416520 4443450 4461600 4503850 4551170 4573140 4621188 4690400 4739680 4833400 4858172 4954235 5006287 5251350 5272800 5299824 5404620 5461404 5520650 5543200 5601440 5716425 5741476 5776485 5800080 5916521 5924600 5945082 6072715 6097520 6161584 6463200 6624780 6755775 6826755 7001800 7035600 7109520 7176845 7206160 7250100 7281872 7287258 7317024 7621900 7701980 7926776 8280975 8314800 8402160 8612214 8647392 8833040 8886900 9007700 9102340 9146280 9242376 9627475 9666800 9716344 9908470 10012574 10502700 10599648 10809240 10922808 11041300 11377925 11432850 11482952 11552970 11600160 11833042 11849200 11890164 12145430 12195040 12323168 13249560 13511550 13653510 14003600 14071200 14219040 14353690 14412320 14500200 14563744 14574516 14862705 15018861 15243800 15403960 15789059 15853552 16561950 16629600 16804320 17224428 17666080 17749563 17773800 18015400 18204680 18218145 18292560 18484752 18659797 19254950 19333600 19432688 19816940 20025148 21005400 21530535 21618480 21845616 22082600 22755850 22865700 22965904 23105940 23666084 23698400 23780328 24290860 24771175 25031435 26499120 27023100 27307020 28007200 28707380 28882425 29000400 29149032 29582605 29725410 30037722 30363575 30487600 30807920 31578118 31707104 33123900 34133775 34448856 35499126 35547600 35884225 36030800 36409360 36436290 36585120 36969504 37319594 38509900 38865376 39633880 40050296 42010800 43061070 43236960 43691232 44165200 45511700 45731400 45931808 46211880 47332168 47367177 47560656 48581720 49542350 50062870 52998240 54046200 54614040 55979391 57414760 57764850 58000800 58298064 59165210 59450820 60075444 60727150 60975200 61615840 63156236 65081731 66247800 68267550 68897712 70998252 71095200 71768450 72061600 72818720 72872580 74313525 74639188 75094305 77019800 78945295 79267760 80100592 84021600 86122140 88330400 88747815 91023400 91090725 91462800 92423760 93298985 94664336 94734354 95121312 97163440 99084700 100125740 107652675 108092400 109228080 111958782 114829520 115529700 116596128 118330420 118901640 120150888 121454300 125157175 126312472 130163462 132495600 136535100 137795424 141996504 143536900 145745160 147913025 148627050 149278376 150188610 154039600 157890590 158535520 160201184 172244280 177495630 182046800 182181450 182925600 184847520 186597970 189328672 189468708 194326880 195245193 198169400 200251480 205257767 215305350 216184800 218456160 223917564 229659040 231059400 236660840 236835885 237803280 240301776 242577361 242908600 250314350 252624944 260326924 264991200 273070200 279896955 283993008 287073800 291490320 295826050 297254100 298556752 300377220 308079200 315781180 325408655 344488560 354991260 364093600 364362900 373195940 375471525 378937416 390490386 394726475 396338800 400502960 410515534 430610700 443739075 447835128 462118800 466494925 473321680 473671770 475606560 480603552 485154722 485817200 500628700 505249888 520653848 546140400 559793910 567986016 574147600 582980640 591652100 594508200 597113504 600754440 615773301 631562360 650817310 688977120 709982520 727732083 728725800 746391880 750943050 757874832 780980772 789452950 792677600 801005920 821031068 861221400 887478150 895670256 924237600 932989850 946643360 947343540 970309444 971634400 976225965 1001257400 1026288835 1041307696 1092280800 1119587820 1148295200 1183304200 1184179425 1189016400 1201508880 1212886805 1231546602 1263124720 1301634620 1399484775 1419965040 1455464166 1457451600 1492783760 1501886100 1515749664 1561961544 1578905900 1627043275 1642062136 1722442800 1774956300 1791340512 1865979700 1894687080 1940618888 1952451930 2002514800 2052577670 2082615392 2239175640 2366608400 2368358850 2378032800 2403017760 2425773610 2463093204 2526249440 2603269240 2668350971 2798969550 2839930080 2910928332 2914903200 2985567520 3003772200 3078866505 3123923088 3157811800 3254086550 3284124272 3444885600 3549912600 3638660415 3731959400 3789374160 3881237776 3904903860 4005029600 4105155340 4478351280 4733216800 4736717700 4851547220 4881129825 4926186408 5131444175 5206538480 5336701942 5597939100 5821856664 6007544400 6064434025 6157733010 6247846176 6315623600 6508173100 6568248544 7099825200 7277320830 7463918800 7578748320 7762475552 7809807720 8005052913 8210310680 8956702560 9473435400 9703094440 9762259650 9852372816 10262888350 10413076960 10673403884 11195878200 11643713328 12015088800 12128868050 12315466020 12631247200 13016346200 13341754855 14199650400 14554641660 14927837600 15394332525 15619615440 16010105826 16420621360 18193302075 18946870800 19406188880 19524519300 19704745632 20525776700 21346807768 22391756400 23287426656 24257736100 24630932040 26032692400 26683509710 29109283320 30788665050 31239230880 32020211652 32841242720 36386604150 37893741600 38812377760 39049038600 40025264565 41051553400 42693615536 44783512800 48515472200 49261864080 52065384800 53367019420 58218566640 61577330100 64040423304 66708774275 72773208300 78098077200 80050529130 82103106800 85387231072 97030944400 98523728160 106734038840 116437133280 123154660200 128080846608 133417548550 145546416600 156196154400 160101058260 164206213600 194061888800 200126322825 213468077680 246309320400 256161693216 266835097100 291092833200 320202116520 400252645650 426936155360 492618640800 533670194200 582185666400 640404233040 800505291300 1067340388400 1280808466080 1601010582600 2134680776800 3202021165200 6404042330400
- Sum of all divisors σ(n): 25244531746560
- Sum of proper divisors (its aliquot sum) s(n): 18840489416160
- 6404042330400 is an abundant number, because the sum of its proper divisors (18840489416160) is greater than itself. Its abundance is 12436447085760
Bases of 6404042330400
- Binary: 10111010011000011101010101100010001001000002
- Hexadecimal: 0x5D30EAB1120
- Base-36: 29PZ5GF1C
Squares and roots of 6404042330400
- 6404042330400 squared (64040423304002) is 41011758169555062764160000
- 6404042330400 cubed (64040423304003) is 262641035361958642475309471998464000000
-
The
square root of 6404042330400 is 2530620.9377146945 -
The
cube root of 6404042330400 is 18570.2634358555
Scales and comparisons
How big is 6404042330400?- 6,404,042,330,400 seconds is equal to 203,628 years, 38 weeks, 2 days, 7 hours, 20 minutes.
-
To count from 1 to 6,404,042,330,400 would take you about five hundred nine thousand and seventy-one 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 6404042330400 cubic inches would be around 1547.5 feet tall.
Recreational maths with 6404042330400
- 6404042330400 backwards is 0040332404046
- 6404042330400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 6404042330400's digits is 30
- More coming soon!
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The information we have on file for 6404042330400 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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