542474311680
542,474,311,680 is an even composite number composed of five prime numbers multiplied together.
542474311680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 542474311680:
211 × 32 × 5 × 73 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 131 × 131)See below for interesting mathematical facts about the number 542474311680 from the Numbermatics database.
Names of 542474311680
- Cardinal: 542474311680 can be written as Five hundred forty-two billion, four hundred seventy-four million, three hundred eleven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 5.4247431168 × 1011
Factors of 542474311680
Divisors of 542474311680
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 131 140 144 147 160 168 180 192 196 210 224 240 245 252 256 262 280 288 294 315 320 336 343 360 384 392 393 420 441 448 480 490 504 512 524 560 576 588 630 640 655 672 686 720 735 768 784 786 840 882 896 917 960 980 1008 1024 1029 1048 1120 1152 1176 1179 1260 1280 1310 1344 1372 1440 1470 1536 1568 1572 1680 1715 1764 1792 1834 1920 1960 1965 2016 2048 2058 2096 2205 2240 2304 2352 2358 2520 2560 2620 2688 2744 2751 2880 2940 3072 3087 3136 3144 3360 3430 3528 3584 3668 3840 3920 3930 4032 4116 4192 4410 4480 4585 4608 4704 4716 5040 5120 5145 5240 5376 5488 5502 5760 5880 5895 6144 6174 6272 6288 6419 6720 6860 7056 7168 7336 7680 7840 7860 8064 8232 8253 8384 8820 8960 9170 9216 9408 9432 10080 10240 10290 10480 10752 10976 11004 11520 11760 11790 12348 12544 12576 12838 13440 13720 13755 14112 14336 14672 15360 15435 15680 15720 16128 16464 16506 16768 17161 17640 17920 18340 18432 18816 18864 19257 20160 20580 20960 21504 21952 22008 23040 23520 23580 24696 25088 25152 25676 26880 27440 27510 28224 29344 30720 30870 31360 31440 32095 32256 32928 33012 33536 34322 35280 35840 36680 37632 37728 38514 40320 41160 41265 41920 43008 43904 44016 44933 46080 47040 47160 49392 50176 50304 51352 51483 53760 54880 55020 56448 57771 58688 61740 62720 62880 64190 64512 65856 66024 67072 68644 70560 71680 73360 75264 75456 77028 80640 82320 82530 83840 85805 87808 88032 89866 92160 94080 94320 96285 98784 100352 100608 102704 102966 107520 109760 110040 112896 115542 117376 120127 123480 125440 125760 128380 129024 131712 132048 134144 134799 137288 141120 146720 150528 150912 154056 154449 161280 164640 165060 167680 171610 175616 176064 179732 188160 188640 192570 197568 201216 205408 205932 215040 219520 220080 224665 225792 231084 234752 240254 246960 250880 251520 256760 257415 263424 264096 268288 269598 274576 282240 288855 293440 301056 301824 308112 308898 322560 329280 330120 335360 343220 351232 352128 359464 360381 376320 377280 385140 395136 402432 404397 410816 411864 439040 440160 449330 451584 462168 469504 480508 493920 501760 503040 513520 514830 526848 528192 539196 549152 564480 577710 586880 600635 603648 616224 617796 645120 658560 660240 670720 673995 686440 702464 704256 718928 720762 752640 754560 770280 772245 790272 804864 808794 821632 823728 840889 878080 880320 898660 903168 924336 939008 961016 987840 1006080 1027040 1029660 1053696 1056384 1078392 1081143 1098304 1128960 1155420 1173760 1201270 1207296 1232448 1235592 1317120 1320480 1341440 1347990 1372880 1408512 1437856 1441524 1505280 1509120 1540560 1544490 1580544 1617588 1643264 1647456 1681778 1756160 1760640 1797320 1801905 1848672 1878016 1922032 1975680 2012160 2021985 2054080 2059320 2107392 2112768 2156784 2162286 2196608 2257920 2310840 2347520 2402540 2414592 2464896 2471184 2522667 2634240 2640960 2695980 2745760 2817024 2875712 2883048 3018240 3081120 3088980 3161088 3235176 3286528 3294912 3363556 3512320 3521280 3594640 3603810 3697344 3844064 3951360 4024320 4043970 4108160 4118640 4204445 4225536 4313568 4324572 4393216 4515840 4621680 4695040 4805080 4929792 4942368 5045334 5268480 5281920 5391960 5405715 5491520 5634048 5751424 5766096 5886223 6036480 6162240 6177960 6322176 6470352 6573056 6589824 6727112 7042560 7189280 7207620 7394688 7568001 7688128 7902720 8087940 8216320 8237280 8408890 8451072 8627136 8649144 8786432 9243360 9390080 9610160 9859584 9884736 10090668 10536960 10563840 10783920 10811430 10983040 11502848 11532192 11772446 12072960 12324480 12355920 12613335 12940704 13146112 13179648 13454224 14085120 14378560 14415240 14789376 15136002 15376256 15805440 16175880 16432640 16474560 16817780 16902144 17254272 17298288 17572864 17658669 18486720 19220320 19719168 19769472 20181336 21127680 21567840 21622860 21966080 23005696 23064384 23544892 24648960 24711840 25226670 25881408 26359296 26908448 28170240 28757120 28830480 29431115 29578752 30272004 30752512 31610880 32351760 32865280 32949120 33635560 34508544 34596576 35145728 35317338 36973440 37840005 38440640 39438336 39538944 40362672 42255360 43135680 43245720 43932160 46011392 46128768 47089784 49297920 49423680 50453340 51762816 52718592 52976007 53816896 57514240 57660960 58862230 59157504 60544008 61505024 64703520 65730560 65898240 67271120 69017088 69193152 70634676 73946880 75680010 76881280 79077888 80725344 84510720 86271360 86491440 87864320 88293345 92022784 92257536 94179568 98595840 98847360 100906680 103525632 105437184 105952014 107633792 115028480 115321920 117724460 118315008 121088016 123010048 129407040 131796480 134542240 138034176 138386304 141269352 147893760 151360020 153762560 158155776 161450688 172542720 172982880 175728640 176586690 184515072 188359136 197191680 197694720 201813360 207051264 211904028 215267584 230056960 230643840 235448920 242176032 246020096 258814080 263592960 264880035 269084480 276068352 276772608 282538704 295787520 302720040 307525120 316311552 322901376 345085440 345965760 353173380 369030144 376718272 395389440 403626720 414102528 423808056 430535168 460113920 461287680 470897840 484352064 517628160 527185920 529760070 538168960 553545216 565077408 591575040 605440080 615050240 645802752 690170880 691931520 706346760 738060288 753436544 790778880 807253440 828205056 847616112 861070336 922575360 941795680 968704128 1035256320 1059520140 1076337920 1107090432 1130154816 1210880160 1230100480 1291605504 1380341760 1383863040 1412693520 1506873088 1581557760 1614506880 1695232224 1722140672 1845150720 1883591360 1937408256 2070512640 2119040280 2152675840 2214180864 2260309632 2421760320 2583211008 2767726080 2825387040 3013746176 3229013760 3390464448 3690301440 3767182720 3874816512 4141025280 4238080560 4305351680 4520619264 4843520640 5166422016 5535452160 5650774080 6027492352 6458027520 6780928896 7534365440 7749633024 8476161120 8610703360 9041238528 9687041280 11070904320 11301548160 12054984704 12916055040 13561857792 15068730880 15499266048 16952322240 18082477056 19374082560 22603096320 25832110080 27123715584 30137461760 33904644480 36164954112 38748165120 45206192640 54247431168 60274923520 67809288960 77496330240 90412385280 108494862336 135618577920 180824770560 271237155840 542474311680
- Sum of all divisors σ(n): 2209422852000
- Sum of proper divisors (its aliquot sum) s(n): 1666948540320
- 542474311680 is an abundant number, because the sum of its proper divisors (1666948540320) is greater than itself. Its abundance is 1124474228640
Bases of 542474311680
- Binary: 1111110010011011111110100011000000000002
- Hexadecimal: 0x7E4DFD1800
- Base-36: 6X7J75S0
Squares and roots of 542474311680
- 542474311680 squared (5424743116802) is 294278378832689784422400
- 542474311680 cubed (5424743116803) is 159638460999569672687509026373632000
-
The
square root of 542474311680 is 736528.5545584773 -
The
cube root of 542474311680 is 8155.6715221241
Scales and comparisons
How big is 542474311680?- 542,474,311,680 seconds is equal to 17,249 years, 1 day, 20 hours, 48 minutes.
-
To count from 1 to 542,474,311,680 would take you about thirty-four thousand, four hundred ninety-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 542474311680 cubic inches would be around 679.6 feet tall.
Recreational maths with 542474311680
- 542474311680 backwards is 086113474245
- 542474311680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 542474311680's digits is 45
- More coming soon!
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