385468340400
385,468,340,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 385468340400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1200 divisors.
385468340400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 385468340400:
24 × 34 × 52 × 11 × 13 × 271 × 307
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 271 × 307)See below for interesting mathematical facts about the number 385468340400 from the Numbermatics database.
Names of 385468340400
- Cardinal: 385468340400 can be written as Three hundred eighty-five billion, four hundred sixty-eight million, three hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 3.854683404 × 1011
Factors of 385468340400
Divisors of 385468340400
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 33 36 39 40 44 45 48 50 52 54 55 60 65 66 72 75 78 80 81 88 90 99 100 104 108 110 117 120 130 132 135 143 144 150 156 162 165 176 180 195 198 200 208 216 220 225 234 240 260 264 270 271 275 286 297 300 307 312 324 325 330 351 360 390 396 400 405 429 432 440 450 468 495 520 528 540 542 550 572 585 594 600 614 624 648 650 660 675 702 715 720 780 792 810 813 825 858 880 891 900 921 936 975 990 1040 1053 1080 1084 1100 1144 1170 1188 1200 1228 1287 1296 1300 1320 1350 1355 1404 1430 1485 1535 1560 1584 1620 1626 1650 1716 1755 1782 1800 1842 1872 1950 1980 2025 2106 2145 2160 2168 2200 2288 2340 2376 2439 2456 2475 2574 2600 2640 2700 2710 2763 2808 2860 2925 2970 2981 3070 3120 3240 3252 3300 3377 3432 3510 3523 3564 3575 3600 3684 3861 3900 3960 3991 4050 4065 4212 4290 4336 4400 4455 4605 4680 4752 4878 4912 4950 5148 5200 5265 5400 5420 5526 5616 5720 5850 5940 5962 6140 6435 6480 6504 6600 6754 6775 6864 7020 7046 7128 7150 7317 7368 7425 7675 7722 7800 7920 7982 8100 8130 8289 8424 8580 8775 8910 8943 9210 9360 9756 9900 10131 10296 10530 10569 10725 10800 10840 11052 11440 11583 11700 11880 11924 11973 12195 12280 12870 13008 13200 13508 13550 13815 14040 14092 14256 14300 14634 14736 14850 14905 15350 15444 15600 15964 16200 16260 16578 16848 16885 17160 17550 17615 17820 17886 18420 19305 19512 19800 19955 20262 20325 20592 21060 21138 21450 21680 21951 22104 22275 23025 23166 23400 23760 23848 23946 24390 24560 24867 25740 26325 26829 27016 27100 27630 28080 28184 28600 29268 29700 29810 30393 30700 30888 31707 31928 32175 32400 32520 33156 33770 34320 35100 35230 35640 35772 35919 36585 36840 38610 38753 39024 39600 39910 40524 40650 41445 42120 42276 42900 43901 43902 44208 44550 44715 46050 46332 46800 47696 47892 48780 49734 50655 51480 52650 52845 53658 54032 54200 55260 56368 57200 57915 58536 59400 59620 59865 60786 60975 61400 61776 63414 63856 64350 65040 66312 67540 69075 70200 70460 71280 71544 71838 73170 73680 74525 77220 77506 79820 80487 81048 81300 82890 83197 84240 84425 84552 85800 87802 87804 88075 89100 89430 91179 92100 92664 95121 95784 96525 97560 99468 99775 101310 102960 105300 105690 107316 107757 108400 109755 110520 115830 116259 117072 118800 119240 119730 121572 121950 122800 124335 126828 128700 131703 132624 134145 135080 138150 140400 140920 143088 143676 146340 149050 151965 154440 155012 158535 159640 160974 162096 162600 165780 166394 168850 169104 171600 175604 175608 176150 178200 178860 179595 182358 182925 184200 185328 190242 191568 193050 193765 195120 198936 199550 202620 207225 210600 211380 214632 215514 219505 219510 221040 223575 231660 232518 238480 239460 241461 243144 243900 248670 249591 253275 253656 257400 263406 264225 268290 270160 273537 276300 281840 285363 287352 289575 292680 298100 299325 303930 308880 310024 317070 319280 321948 323271 325200 331560 332788 337700 348777 351208 351216 352300 356400 357720 359190 364716 365850 368400 380484 386100 387530 395109 397872 399100 402435 405240 414450 415985 421200 422760 429264 431028 439010 439020 447150 455895 463320 465036 475605 478920 482922 486288 487800 497340 499182 506550 507312 514800 526812 528450 536580 538785 547074 548775 552600 570726 574704 579150 581295 585360 596200 598650 607860 620048 621675 634140 643896 646542 658515 663120 665576 670725 675400 697554 702416 704600 715440 718380 729432 731700 748773 759825 760968 772200 775060 790218 792675 798200 804870 810480 828900 831970 845520 862056 878020 878040 894300 897975 911790 915167 926640 930072 951210 957840 965844 968825 975600 994680 998364 1013100 1046331 1053624 1056900 1073160 1077570 1081561 1094148 1097525 1097550 1105200 1141452 1158300 1162590 1185327 1192400 1197300 1207305 1215720 1243350 1247955 1268280 1287792 1293084 1317030 1331152 1341450 1350800 1367685 1395108 1409200 1426815 1436760 1458864 1463400 1497546 1519650 1521936 1544400 1550120 1580436 1585350 1596400 1609740 1616355 1657800 1663940 1724112 1743885 1756040 1756080 1788600 1795950 1823580 1830334 1860144 1902420 1931688 1937650 1975545 1989360 1996728 2012175 2026200 2079925 2092662 2107248 2113800 2146320 2155140 2163122 2188296 2195050 2195100 2246319 2279475 2282904 2316600 2325180 2370654 2378025 2394600 2414610 2431440 2486700 2495910 2536560 2586168 2634060 2682900 2693925 2735370 2745501 2790216 2853630 2873520 2906475 2926800 2995092 3039300 3100240 3138993 3160872 3170700 3219480 3232710 3244683 3292575 3315600 3327880 3487770 3512080 3555981 3577200 3591900 3647160 3660668 3743865 3804840 3863376 3875300 3951090 3993456 4024350 4052400 4159850 4185324 4227600 4310280 4326244 4376592 4390100 4390200 4492638 4558950 4565808 4575835 4633200 4650360 4741308 4756050 4789200 4829220 4973400 4991820 5172336 5231655 5268120 5365800 5387850 5407805 5470740 5491002 5580432 5707260 5812950 5926635 5990184 6036525 6078600 6239775 6277986 6321744 6341400 6438960 6465420 6489366 6585150 6655760 6738957 6838425 6975540 7111962 7134075 7183800 7294320 7321336 7487730 7609680 7750600 7902180 8048700 8081775 8236503 8319700 8370648 8620560 8652488 8719425 8780200 8780400 8985276 9117900 9151670 9300720 9482616 9512100 9658440 9734049 9877725 9946800 9983640 10463310 10536240 10731600 10775700 10815610 10941480 10982004 11231595 11414520 11625900 11853270 11897171 11980368 12073050 12157200 12479550 12555972 12682800 12930840 12978732 13170300 13477914 13676850 13727505 13951080 14223924 14268150 14367600 14642672 14975460 15501200 15694965 15804360 16097400 16163550 16223415 16473006 16639400 16741296 17304976 17438850 17560400 17779905 17970552 18235800 18303340 18719325 18965232 19024200 19316880 19468098 19755450 19967280 20926620 21551400 21631220 21882960 21964008 22463190 22829040 22879175 23251800 23706540 23794342 24146100 24709509 24959100 25111944 25861680 25957464 26158275 26340600 26955828 27039025 27353700 27455010 27902160 28447848 28536300 29202147 29633175 29950920 31389930 31608720 32194800 32327100 32446830 32946012 33278800 33694785 34877700 35559810 35691513 35941104 36471600 36606680 37438650 38048400 38936196 39510900 41182515 41853240 43102800 43262440 43928016 44926380 45758350 46503600 47413080 47588684 48292200 48670245 49419018 49918200 50223888 51914928 52316550 52681200 53911656 54078050 54707400 54910020 56157975 56895696 57072600 58404294 59266350 59485855 59901840 62779860 64654200 64893660 65892024 67389570 68637525 69755400 71119620 71383026 73213360 74128527 74877300 77872392 78474825 79021800 81117075 82365030 83706480 86524880 87606441 88899525 89852760 91516700 94826160 95177368 96584400 97340490 98838036 99836400 104633100 107074539 107823312 108156100 109414800 109820040 112315950 114145200 116808588 118532700 118971710 123547545 125559720 129308400 129787320 131784048 134779140 137275050 139510800 142239240 142766052 146010735 148257054 149754600 155744784 156949650 158043600 162234150 164730060 168473925 175212882 177799050 178457565 179705520 183033400 190354736 194680980 197676072 205912575 209266200 214149078 216312200 219640080 224631900 233617176 237065400 237943420 243351225 247095090 251119440 259574640 269558280 274550100 284478480 285532104 292021470 296514108 297429275 299509200 313899300 321223617 324468300 329460120 336947850 350425764 355598100 356915130 366066800 370642635 389361960 395352144 411825150 418532400 428298156 432624400 438032205 449263800 467234352 474130800 475886840 486702450 494190180 535372695 539116560 549100200 571064208 584042940 593028216 594858550 617737725 627798600 642447234 648936600 658920240 673895700 700851528 711196200 713830260 730053675 741285270 778723920 823650300 856596312 876064410 892287825 898527600 951773680 963670851 973404900 988380360 1070745390 1098200400 1168085880 1186056432 1189717100 1235475450 1255597200 1284894468 1297873200 1347791400 1401703056 1422392400 1427660520 1460107350 1482570540 1606118085 1647300600 1713192624 1752128820 1784575650 1853213175 1927341702 1946809800 1976760720 2141490780 2190161025 2336171760 2379434200 2470950900 2569788936 2676863475 2695582800 2855321040 2920214700 2965141080 3212236170 3294601200 3504257640 3569151300 3706426350 3854683404 3893619600 4282981560 4380322050 4758868400 4818354255 4941901800 5139577872 5353726950 5840429400 5930282160 6424472340 7008515280 7138302600 7412852700 7709366808 8030590425 8565963120 8760644100 9636708510 9883803600 10707453900 11680858800 12848944680 14276605200 14825705400 15418733616 16061180850 17521288200 19273417020 21414907800 24091771275 25697889360 29651410800 32122361700 35042576400 38546834040 42829815600 48183542550 64244723400 77093668080 96367085100 128489446800 192734170200 385468340400
- Sum of all divisors σ(n): 1636581585408
- Sum of proper divisors (its aliquot sum) s(n): 1251113245008
- 385468340400 is an abundant number, because the sum of its proper divisors (1251113245008) is greater than itself. Its abundance is 865644904608
Bases of 385468340400
- Binary: 1011001101111111011010000011000101100002
- Hexadecimal: 0x59BFB418B0
- Base-36: 4X2XWB00
Squares and roots of 385468340400
- 385468340400 squared (3854683404002) is 148585841450730272160000
- 385468340400 cubed (3854683404003) is 57275137710950526377555523264000000
-
The
square root of 385468340400 is 620860.9670449579 -
The
cube root of 385468340400 is 7277.7350031185
Scales and comparisons
How big is 385468340400?- 385,468,340,400 seconds is equal to 12,256 years, 36 weeks, 3 days, 3 hours.
-
To count from 1 to 385,468,340,400 would take you about twenty-four thousand, five hundred thirteen 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 385468340400 cubic inches would be around 606.5 feet tall.
Recreational maths with 385468340400
- 385468340400 backwards is 004043864583
- 385468340400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 385468340400's digits is 45
- More coming soon!
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The information we have on file for 385468340400 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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