42468642331920
42,468,642,331,920 is an even composite number composed of seven prime numbers multiplied together.
42468642331920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42468642331920:
24 × 35 × 5 × 7 × 19 × 292 × 19531
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 19 × 29 × 29 × 19531)See below for interesting mathematical facts about the number 42468642331920 from the Numbermatics database.
Names of 42468642331920
- Cardinal: 42468642331920 can be written as Forty-two trillion, four hundred sixty-eight billion, six hundred forty-two million, three hundred thirty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.246864233192 × 1013
Factors of 42468642331920
Divisors of 42468642331920
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 29 30 35 36 38 40 42 45 48 54 56 57 58 60 63 70 72 76 80 81 84 87 90 95 105 108 112 114 116 120 126 133 135 140 144 145 152 162 168 171 174 180 189 190 203 210 216 228 232 240 243 252 261 266 270 280 285 290 304 315 324 336 342 348 360 378 380 399 405 406 420 432 435 456 464 486 504 513 522 532 540 551 560 567 570 580 609 630 648 665 684 696 720 756 760 783 798 810 812 840 841 855 870 912 945 972 1008 1015 1026 1044 1064 1080 1102 1134 1140 1160 1197 1215 1218 1260 1296 1305 1330 1368 1392 1512 1520 1539 1566 1596 1620 1624 1653 1680 1682 1701 1710 1740 1827 1890 1944 1995 2030 2052 2088 2128 2160 2204 2268 2280 2320 2349 2394 2430 2436 2520 2523 2565 2610 2660 2736 2755 2835 3024 3045 3078 3132 3192 3240 3248 3306 3364 3402 3420 3480 3591 3654 3780 3857 3888 3915 3990 4060 4104 4176 4205 4408 4536 4560 4617 4698 4788 4860 4872 4959 5040 5046 5130 5220 5320 5481 5510 5670 5887 5985 6090 6156 6264 6384 6480 6612 6728 6804 6840 6960 7047 7182 7308 7560 7569 7695 7714 7830 7980 8120 8208 8265 8410 8505 8816 9072 9135 9234 9396 9576 9720 9744 9918 10092 10260 10440 10640 10773 10962 11020 11340 11571 11745 11774 11970 12180 12312 12528 12615 13224 13456 13608 13680 14094 14364 14616 14877 15120 15138 15390 15428 15660 15960 15979 16240 16443 16530 16820 17010 17661 17955 18270 18468 18792 19152 19285 19440 19531 19836 20184 20520 20880 21546 21924 22040 22680 22707 23085 23142 23490 23548 23940 24360 24624 24795 25230 26448 27216 27405 28188 28728 29232 29435 29754 30276 30780 30856 31320 31920 31958 32319 32886 33060 33640 34020 34713 35235 35322 35910 36540 36936 37584 37845 38570 39062 39672 40368 41040 43092 43848 44080 44631 45360 45414 46170 46284 46980 47096 47880 47937 48720 49329 49590 50460 52983 53865 54810 56376 57456 57855 58593 58870 59508 60552 61560 61712 62640 63916 64638 65772 66120 67280 68040 68121 69426 70470 70644 71820 73080 73872 74385 75690 77140 78124 79344 79895 82215 86184 87696 88305 89262 90828 92340 92568 93960 94192 95760 95874 97655 98658 99180 100920 104139 105966 107730 109620 111853 112752 113535 115710 117186 117740 119016 121104 123120 127832 129276 131544 132240 133893 136080 136242 136717 138852 140940 141288 143640 143811 146160 148770 151380 154280 156248 158949 159790 161595 164430 172368 173565 175779 176610 178524 181656 184680 185136 187920 191748 195310 197316 198360 201840 204363 208278 211932 215460 219240 223155 223706 227070 231420 234372 235480 238032 239685 246645 255664 258552 263088 264915 267786 272484 273434 277704 281880 282576 287280 287622 292965 297540 302760 308560 312417 312496 317898 319580 323190 328860 335559 340605 347130 351558 353220 357048 363312 369360 371089 383496 390620 394632 396720 408726 410151 416556 423864 430920 431433 438480 446310 447412 454140 462840 468744 470960 476847 479370 493290 517104 520695 527337 529830 535572 544968 546868 555408 559265 563760 566399 575244 585930 595080 605520 624834 635796 639160 646380 657720 669465 671118 681210 683585 694260 703116 706440 714096 719055 742178 766992 781240 789264 794745 817452 820302 833112 847728 861840 862866 878895 892620 894824 908280 925680 937251 937488 953694 958740 986580 1006677 1021815 1041390 1054674 1059660 1071144 1089936 1093736 1113267 1118530 1132798 1150488 1171860 1190160 1230453 1249668 1271592 1278320 1292760 1294299 1315440 1338930 1342236 1362420 1367170 1388520 1406232 1412880 1430541 1438110 1484356 1562085 1562480 1582011 1589490 1634904 1640604 1666224 1677795 1699197 1725732 1757790 1785240 1789648 1816560 1855445 1874502 1907388 1917480 1973160 2013354 2043630 2050755 2082780 2109348 2119320 2142288 2157165 2187472 2226534 2237060 2265596 2300976 2343720 2384235 2460906 2499336 2543184 2585520 2588598 2597623 2636685 2677860 2684472 2724840 2734340 2777040 2812464 2831995 2861082 2876220 2968712 3020031 3124170 3164022 3178980 3269808 3281208 3339801 3355590 3398394 3451464 3515580 3570480 3691359 3710890 3749004 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350679105 356831370 360698508 362403720 367026552 374057712 376655335 379682640 387416916 394213704 400776120 407807280 420814926 428197644 430463240 434884464 442963080 443490417 450873135 451986402 458783190 459915988 467572140 475775160 480931344 484271145 492767130 516555888 531555696 535247055 543605580 550539828 561086568 570930192 574894985 581125374 591320556 601164180 602648536 611710920 623429520 624171698 631222389 642296466 645694860 657022840 664444620 677979603 688174785 689873982 701358210 713662740 721397016 724807440 734053104 739150695 753310670 774833832 788427408 801552240 841629852 856395288 860926480 871688061 885926160 886980834 901746270 903972804 917566380 919831976 935144280 936257547 951550320 963444699 968542290 985534260 1034810973 1052037315 1070494110 1087211160 1101079656 1122173136 1129966005 1149789970 1162250748 1182641112 1202328360 1205297072 1223421840 1248343396 1262444778 1284592932 1291389720 1314045680 1328889240 1330471251 1355959206 1376349570 1379747964 1402716420 1427325480 1442794032 1452813435 1478301390 1506621340 1549667664 1560429245 1605741165 1683259704 1712790576 1724684955 1743376122 1773961668 1803492540 1807945608 1835132760 1839663952 1870288560 1872515094 1926889398 1937084580 1971068520 2033938809 2069621946 2104074630 2140988220 2174422320 2184600943 2202159312 2217452085 2259932010 2299579940 2324501496 2365282224 2404656720 2496686792 2524889556 2569185864 2582779440 2615064183 2657778480 2660942502 2711918412 2752699140 2759495928 2805432840 2808772641 2854650960 2905626870 2956602780 3013242680 3104432919 3120858490 3156111945 3211482330 3366519408 3389898015 3449369910 3486752244 3547923336 3606985080 3615891216 3670265520 3745030188 3853778796 3874169160 3942137040 3991413753 4067877618 4139243892 4208149260 4281976440 4358440305 4369201886 4434904170 4519864020 4599159880 4649002992 4681287735 4817223495 4993373584 5049779112 5138371728 5174054865 5230128366 5321885004 5423836824 5505398280 5518991856 5610865680 5617545282 5811253740 5913205560 6026485360 6101816427 6208865838 6241716980 6312223890 6422964660 6553802829 6652356255 6779796030 6898739820 6973504488 7095846672 7213970160 7490060376 7707557592 7748338320 7982827506 8135755236 8278487784 8416298520 8426317923 8563952880 8716880610 8738403772 8869808340 9039728040 9198319760 9313298757 9362575470 9634446990 10099558224 10169694045 10348109730 10460256732 10643770008 10847673648 10923004715 11010796560 11235090564 11622507480 11826411120 12203632854 12417731676 12483433960 12624447780 12845929320 13075320915 13107605658 13304712510 13559592060 13797479640 13947008976 14043863205 14980120752 15415115184 15522164595 15965655012 16271510472 16556975568 16832597040 16852635846 17433761220 17476807544 17739616680 18079456080 18305449281 18626597514 18725150940 19268893980 19661408487 19957068765 20339388090 20696219460 20920513464 21287540016 21846009430 22470181128 23245014960 24407265708 24835463352 24966867920 25248895560 25278953769 25691858640 26150641830 26215211316 26609425020 27119184120 27594959280 27939896271 28087726410 30509082135 31044329190 31931310024 32543020944 32769014145 33705271692 34867522440 34953615088 35479233360 36610898562 37253195028 37450301880 38537787960 39322816974 39914137530 40678776180 41392438920 41841026928 42131589615 43692018860 44940362256 46566493785 48814531416 49670926704 50497791120 50557907538 52301283660 52430422632 53218850040 54238368240 55879792542 56175452820 58984225461 61018164270 62088658380 63862620048 65538028290 67410543384 69735044880 73221797124 74506390056 74900603760 75836861307 77075575920 78645633948 79828275060 81357552360 82784877840 84263179230 87384037720 91527246405 93132987570 97629062832 98307042435 101115815076 104602567320 104860845264 106437700080 111759585084 112350905640 117968450922 122036328540 124177316760 126394768845 131076056580 134821086768 139699481355 146443594248 149012780112 151673722614 157291267896 159656550120 162715104720 168526358460 174768075440 176952676383 183054492810 186265975140 196614084870 202231630152 209205134640 223519170168 224701811280 235936901844 244072657080 248354633520 252789537690 262152113160 279398962710 292887188496 294921127305 303347445228 314582535792 319313100240 337052716920 353905352766 366108985620 372531950280 379184306535 393228169740 404463260304 447038340336 471873803688 488145314160 505579075380 524304226320 530858029149 558797925420 589842254610 606694890456 674105433840 707810705532 732217971240 745063900560 758368613070 786456339480 884763381915 943747607376 1011158150760 1061716058298 1117595850840 1179684509220 1213389780912 1415621411064 1464435942480 1516737226140 1572912678960 1769526763830 2022316301520 2123432116596 2235191701680 2359369018440 2654290145745 2831242822128 3033474452280 3539053527660 4246864233192 4718738036880 5308580291490 6066948904560 7078107055320 8493728466384 10617160582980 14156214110640 21234321165960 42468642331920
- Sum of all divisors σ(n): 184288901422080
- Sum of proper divisors (its aliquot sum) s(n): 141820259090160
- 42468642331920 is an abundant number, because the sum of its proper divisors (141820259090160) is greater than itself. Its abundance is 99351616758240
Bases of 42468642331920
- Binary: 10011010100000000000000101011100011101000100002
- Hexadecimal: 0x26A000571D10
- Base-36: F1XTP4X00
Squares and roots of 42468642331920
- 42468642331920 squared (424686423319202) is 1803585581516547415450886400
- 42468642331920 cubed (424686423319203) is 76595830976434195479781381240727013888000
-
The
square root of 42468642331920 is 6516796.9380609061 -
The
cube root of 42468642331920 is 34889.0753051803
Scales and comparisons
How big is 42468642331920?- 42,468,642,331,920 seconds is equal to 1,350,371 years, 24 weeks, 4 hours, 12 minutes.
-
To count from 1 to 42,468,642,331,920 would take you about three million, three hundred seventy-five thousand, nine hundred twenty-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 42468642331920 cubic inches would be around 2907.4 feet tall.
Recreational maths with 42468642331920
- 42468642331920 backwards is 02913324686424
- 42468642331920 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42468642331920's digits is 54
- More coming soon!
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"Number 42468642331920 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 42468642331920 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/42468642331920/
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The information we have on file for 42468642331920 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!
Keywords: Divisors of 42468642331920, math, Factors of 42468642331920, curriculum, school, college, exams, university, Prime factorization of 42468642331920, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred sixty-eight billion, six hundred forty-two million, three hundred thirty-one thousand, nine hundred twenty.