54066412400
54,066,412,400 is an even composite number composed of seven prime numbers multiplied together.
54066412400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 54066412400:
24 × 52 × 7 × 11 × 133 × 17 × 47
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 13 × 13 × 17 × 47)See below for interesting mathematical facts about the number 54066412400 from the Numbermatics database.
Names of 54066412400
- Cardinal: 54066412400 can be written as Fifty-four billion, sixty-six million, four hundred twelve thousand, four hundred.
Scientific notation
- Scientific notation: 5.40664124 × 1010
Factors of 54066412400
Divisors of 54066412400
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 25 26 28 34 35 40 44 47 50 52 55 56 65 68 70 77 80 85 88 91 94 100 104 110 112 119 130 136 140 143 154 169 170 175 176 182 187 188 200 208 220 221 235 238 260 272 275 280 286 308 325 329 338 340 350 364 374 376 385 400 425 440 442 455 470 476 517 520 550 560 572 595 611 616 650 658 676 680 700 715 728 748 752 770 799 845 850 880 884 910 935 940 952 1001 1034 1040 1100 1105 1144 1175 1183 1190 1222 1232 1300 1309 1316 1352 1360 1400 1430 1456 1496 1540 1547 1598 1645 1690 1700 1768 1820 1859 1870 1880 1904 1925 2002 2068 2197 2200 2210 2275 2288 2350 2366 2380 2431 2444 2585 2600 2618 2632 2704 2800 2860 2873 2975 2992 3055 3080 3094 3196 3290 3380 3400 3536 3575 3619 3640 3718 3740 3760 3850 3995 4004 4136 4225 4277 4394 4400 4420 4550 4675 4700 4732 4760 4862 4888 5005 5170 5200 5236 5264 5525 5593 5720 5746 5915 5950 6110 6160 6188 6392 6545 6580 6721 6760 6800 7150 7238 7280 7436 7480 7700 7735 7943 7990 8008 8225 8272 8450 8554 8788 8789 8840 9100 9295 9350 9400 9464 9520 9724 9776 10010 10340 10387 10472 10985 11050 11186 11440 11492 11830 11900 12155 12220 12376 12784 12925 13013 13090 13160 13442 13520 14300 14365 14476 14872 14960 15275 15379 15400 15470 15886 15980 16016 16450 16900 17017 17108 17576 17578 17680 18095 18200 18590 18700 18800 18928 19448 19975 20020 20111 20680 20774 20944 21385 21970 22100 22372 22984 23660 23800 24167 24310 24440 24752 25025 25850 26026 26180 26320 26884 27965 28600 28730 28952 29575 29744 30550 30758 30800 30940 31603 31772 31960 32725 32900 33605 33800 34034 34216 35152 35156 36190 36400 37180 37349 37400 38675 38896 39715 39950 40040 40222 41360 41548 42770 43940 43945 44200 44744 45968 46475 47047 47320 47600 48334 48620 48880 50050 51700 51935 52052 52360 53768 54925 55601 55930 57200 57460 57904 59150 60775 61100 61516 61523 61880 63206 63544 63920 65065 65450 65800 67210 67600 68068 68432 70312 71825 72380 72709 74360 74698 74800 76895 77350 79430 79900 80080 80444 83096 85085 85540 87373 87880 87890 88400 89488 90475 92950 94094 94640 96668 97240 100100 100555 103259 103400 103870 104104 104720 106925 107536 109850 111202 111860 114257 114920 118300 120835 121550 122200 123032 123046 123760 126412 127088 130130 130900 131600 134420 135031 136136 139825 140624 143650 144760 145418 148720 149396 153790 154700 158015 158860 159800 160888 166192 168025 169169 170170 171080 174746 175760 175780 180950 185900 186745 188188 193336 194480 198575 200200 201110 206518 206800 207740 208208 213850 219700 219725 221221 222404 223720 228514 229840 235235 236600 241670 243100 244400 246064 246092 252824 259675 260260 261443 261800 268840 270062 272272 278005 279650 287300 289520 290836 298792 307580 307615 309400 316030 317720 319600 321776 325325 336050 338338 340340 342160 349492 351560 361900 363545 371800 373490 376376 384475 386672 397150 400400 402220 410839 413036 415480 425425 427700 436865 439400 439450 442442 444808 447440 457028 470470 473200 483340 486200 492184 502775 505648 516295 519350 520520 522886 523600 537680 540124 556010 559300 571285 574600 581672 597584 604175 611611 615160 615230 618800 632060 635440 650650 672100 675155 676676 680680 698984 703120 722813 723800 727090 743600 746980 752752 768950 790075 794300 799799 804440 821678 826072 830960 845845 850850 855400 873730 878800 878900 884884 889616 914056 933725 940940 945217 966680 972400 984368 1005550 1032590 1038700 1041040 1045772 1080248 1106105 1112020 1118600 1135849 1142570 1149200 1163344 1176175 1208350 1223222 1230320 1230460 1264120 1301300 1307215 1344200 1350310 1353352 1361360 1390025 1397968 1445626 1447600 1454180 1485341 1493960 1537900 1538075 1580150 1588600 1599598 1608880 1643356 1652144 1691690 1701700 1710800 1747460 1755403 1757800 1769768 1817725 1828112 1867450 1881880 1890434 1933360 2011100 2054195 2065180 2077400 2091544 2160496 2184325 2212210 2224040 2237200 2271698 2285140 2352350 2416700 2446444 2460920 2528240 2581475 2602600 2614430 2688400 2700620 2706704 2780050 2856425 2875873 2891252 2908360 2970682 2987920 3058055 3075800 3076150 3160300 3177200 3199196 3286712 3375775 3383380 3403400 3494920 3510806 3515600 3539536 3614065 3635450 3734900 3763760 3780868 3998995 4022200 4108390 4130360 4154800 4183088 4229225 4368650 4424420 4448080 4543396 4570280 4704700 4726085 4833400 4892888 4921840 5162950 5205200 5228860 5401240 5530525 5560100 5679245 5712850 5751746 5782504 5816720 5941364 6116110 6151600 6152300 6320600 6398392 6536075 6573424 6751550 6766760 6806800 6989840 7021612 7228130 7270900 7426705 7469800 7561736 7950943 7997990 8044400 8216780 8260720 8458450 8737300 8777015 8848840 9086792 9140560 9409400 9452170 9666800 9785776 10270975 10325900 10397387 10457720 10802480 11061050 11120200 11358490 11425700 11503492 11565008 11882728 12232220 12287821 12304600 12641200 12796784 13072150 13503100 13533520 14043224 14379365 14456260 14541800 14853410 14939600 15123472 15290275 15901886 15995980 16433560 16916900 17474600 17554030 17697680 18070325 18173584 18818800 18904340 19309433 19994975 20541950 20651800 20794774 20915440 22122100 22240400 22716980 22851400 23006984 23630425 23765456 24464440 24575642 24609200 26144300 27006200 28086448 28396225 28758730 28912520 29083600 29706820 30580550 31803772 31991960 32867120 33833800 34949200 35108060 36140650 37133525 37808680 38618866 39754715 39989950 41083900 41303600 41589548 43885075 44244200 45433960 45702800 46013968 47260850 48928880 49151284 51986935 52288600 54012400 56792450 57517460 57825040 59413640 61161100 61439105 63607544 63983920 67667600 70216120 71896825 72281300 74267050 75617360 77237732 79509430 79979900 82167800 83179096 87770150 88488400 90867920 94521700 96547165 98302568 103973870 104577200 113584900 115034920 118827280 122322200 122878210 127215088 135166031 140432240 143793650 144562600 148534100 154475464 159018860 159959800 164335600 166358192 175540300 189043400 193094330 196605136 198773575 207947740 227169800 230069840 244644400 245756420 259934675 270332062 287587300 289125200 297068200 307195525 308950928 318037720 319919600 351080600 378086800 386188660 397547150 415895480 454339600 482735825 491512840 519869350 540664124 575174600 594136400 614391050 636075440 675830155 702161200 772377320 795094300 831790960 965471650 983025680 1039738700 1081328248 1150349200 1228782100 1351660310 1544754640 1590188600 1930943300 2079477400 2162656496 2457564200 2703320620 3180377200 3379150775 3861886600 4158954800 4915128400 5406641240 6758301550 7723773200 10813282480 13516603100 27033206200 54066412400
- Sum of all divisors σ(n): 189707857920
- Sum of proper divisors (its aliquot sum) s(n): 135641445520
- 54066412400 is an abundant number, because the sum of its proper divisors (135641445520) is greater than itself. Its abundance is 81575033120
Bases of 54066412400
- Binary: 1100100101101001101111111011011100002
- Hexadecimal: 0xC969BFB70
- Base-36: OU5QUSW
Squares and roots of 54066412400
- 54066412400 squared (540664124002) is 2923176949806873760000
- 54066412400 cubed (540664124003) is 158045690486432537062898624000000
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The
square root of 54066412400 is 232521.8535966029 -
The
cube root of 54066412400 is 3781.3120404547
Scales and comparisons
How big is 54066412400?- 54,066,412,400 seconds is equal to 1,719 years, 7 weeks, 3 days, 15 hours, 53 minutes, 20 seconds.
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To count from 1 to 54,066,412,400 would take you about three thousand, four hundred thirty-eight 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 54066412400 cubic inches would be around 315.1 feet tall.
Recreational maths with 54066412400
- 54066412400 backwards is 00421466045
- The number of decimal digits it has is: 11
- The sum of 54066412400's digits is 32
- More coming soon!
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