42478201920
42,478,201,920 is an even composite number composed of seven prime numbers multiplied together.
42478201920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42478201920:
26 × 3 × 5 × 72 × 112 × 17 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 11 × 17 × 439)See below for interesting mathematical facts about the number 42478201920 from the Numbermatics database.
Names of 42478201920
- Cardinal: 42478201920 can be written as Forty-two billion, four hundred seventy-eight million, two hundred one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.247820192 × 1010
Factors of 42478201920
Divisors of 42478201920
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 28 30 32 33 34 35 40 42 44 48 49 51 55 56 60 64 66 68 70 77 80 84 85 88 96 98 102 105 110 112 119 120 121 132 136 140 147 154 160 165 168 170 176 187 192 196 204 210 220 224 231 238 240 242 245 255 264 272 280 294 308 320 330 336 340 352 357 363 374 385 392 408 420 439 440 448 462 476 480 484 490 510 528 539 544 560 561 588 595 605 616 660 672 680 704 714 726 735 748 770 784 816 833 840 847 878 880 924 935 952 960 968 980 1020 1056 1078 1088 1120 1122 1155 1176 1190 1210 1232 1309 1317 1320 1344 1360 1428 1452 1470 1496 1540 1568 1617 1632 1666 1680 1694 1756 1760 1785 1815 1848 1870 1904 1936 1960 2040 2057 2112 2156 2195 2240 2244 2310 2352 2380 2420 2464 2499 2541 2618 2634 2640 2695 2720 2805 2856 2904 2940 2992 3073 3080 3136 3234 3264 3332 3360 3388 3512 3520 3570 3630 3696 3740 3808 3872 3920 3927 4080 4114 4165 4235 4312 4390 4488 4620 4704 4760 4829 4840 4928 4998 5082 5236 5268 5280 5390 5440 5610 5712 5808 5880 5929 5984 6146 6160 6171 6468 6545 6585 6664 6720 6776 7024 7140 7260 7392 7463 7480 7616 7744 7840 7854 8085 8160 8228 8330 8470 8624 8780 8976 9163 9219 9240 9408 9520 9658 9680 9996 10164 10285 10472 10536 10560 10780 11220 11424 11616 11760 11858 11968 12292 12320 12342 12495 12705 12936 13090 13170 13328 13552 14048 14280 14399 14487 14520 14784 14926 14960 15365 15680 15708 16170 16320 16456 16660 16940 17248 17560 17787 17952 18326 18438 18480 19040 19316 19360 19635 19992 20328 20570 20944 21072 21511 21560 22389 22440 22848 23232 23520 23716 24145 24584 24640 24684 24990 25410 25872 26180 26340 26656 27104 27489 28096 28560 28798 28974 29040 29645 29852 29920 30730 30855 31416 32340 32912 33320 33803 33880 34496 35120 35574 35904 36652 36876 36960 37315 38080 38632 38720 39270 39984 40656 41140 41888 42144 43022 43120 43197 44778 44880 45815 46095 47040 47432 48290 49168 49368 49980 50820 51744 52241 52360 52680 53119 53312 54208 54978 57120 57596 57948 58080 59290 59704 59840 61460 61710 62832 64533 64680 65824 66640 67606 67760 70240 71148 71995 72435 73304 73752 73920 74630 77264 78540 79968 81312 82093 82280 83776 84288 86044 86240 86394 88935 89556 89760 91630 92190 94864 96580 98336 98736 99960 100793 101409 101640 103488 104482 104720 105360 106238 107555 109956 111945 114240 115192 115896 116160 118580 119408 122920 123420 125664 129066 129360 131648 133280 135212 135520 137445 140480 142296 143990 144870 146608 147504 149260 154528 156723 157080 159357 159936 162624 164186 164560 169015 172088 172480 172788 177870 179112 179520 183260 184380 189728 193160 196672 197472 199920 201586 202818 203280 208964 209440 210720 212476 215110 215985 219912 223890 230384 231792 236621 237160 238816 245840 246279 246840 251328 258132 258720 261205 265595 266560 270424 271040 274890 284592 287980 289740 293216 295008 298520 302379 309056 313446 314160 318714 322665 328372 329120 338030 344176 345576 355740 358224 365687 366520 368760 371833 379456 386320 394944 399840 403172 405636 406560 410465 417928 418880 421440 424952 430220 431970 439824 447780 460768 463584 473242 474320 477632 491680 492558 493680 503965 507045 516264 517440 522410 531190 540848 549780 569184 574651 575960 579480 586432 590016 597040 604758 626892 628320 637428 645330 656744 658240 676060 688352 691152 709863 711480 716448 731374 733040 737520 743666 772640 783615 796785 799680 806344 811272 813120 820930 835856 849904 860440 863940 879648 895560 903023 921536 927168 946484 948640 983360 985116 987360 1007930 1014090 1032528 1044820 1062380 1081696 1097061 1099560 1115499 1138368 1149302 1151920 1158960 1183105 1194080 1209516 1231395 1253784 1256640 1274856 1290660 1313488 1352120 1376704 1382304 1419726 1422960 1432896 1462748 1466080 1475040 1487332 1511895 1545280 1567230 1593570 1612688 1622544 1641860 1671712 1699808 1720880 1723953 1727880 1759296 1791120 1806046 1828435 1859165 1892968 1897280 1970232 1974720 2015860 2028180 2065056 2089640 2124760 2163392 2194122 2199120 2230998 2298604 2303840 2317920 2366210 2388160 2419032 2462790 2507568 2549712 2581320 2602831 2626976 2704240 2709069 2764608 2839452 2845920 2873255 2925496 2932160 2950080 2974664 3023790 3134460 3187140 3225376 3245088 3283720 3343424 3399616 3441760 3447906 3455760 3549315 3582240 3612092 3656870 3718330 3785936 3940464 4022557 4031720 4056360 4130112 4179280 4249520 4388244 4398240 4461996 4515115 4597208 4607680 4635840 4732420 4838064 4925580 5015136 5099424 5162640 5205662 5253952 5408480 5418138 5485305 5577495 5678904 5691840 5746510 5850992 5949328 6047580 6268920 6321161 6374280 6450752 6490176 6567440 6883520 6895812 6911520 7098630 7164480 7224184 7313740 7436660 7571872 7808493 7880928 8045114 8063440 8112720 8358560 8499040 8619765 8776488 8796480 8923992 9030230 9194416 9464840 9676128 9851160 10030272 10198848 10325280 10411324 10816960 10836276 10970610 11154990 11357808 11493020 11701984 11898656 12067671 12095160 12537840 12642322 12748560 13014155 13134880 13545345 13791624 13823040 14197260 14448368 14627480 14873320 15143744 15616986 15761856 16090228 16126880 16225440 16717120 16998080 17239530 17552976 17847984 18060460 18388832 18929680 18963483 19352256 19702320 20112785 20650560 20822648 21672552 21941220 22309980 22715616 22986040 23403968 23797312 24135342 24190320 25075680 25284644 25497120 26028310 26269760 27090690 27583248 28394520 28896736 29254960 29746640 31233972 31605805 32180456 32253760 32450880 34479060 35105952 35695968 36120920 36777664 37859360 37926966 39042465 39404640 40225570 41645296 43345104 43882440 44248127 44619960 45431232 45972080 48270684 48380640 50151360 50569288 50994240 52056620 54181380 55166496 56789040 57793472 58509920 59493280 60338355 62467944 63211610 64360912 68958120 70211904 71391936 72241840 75718720 75853932 78084930 78809280 80451140 83290592 86690208 87764880 88496254 89239920 91944160 94817415 96541368 96761280 101138576 104113240 108362760 110332992 113578080 117019840 118986560 120676710 124935888 126423220 128721824 132744381 137916240 144483680 151707864 156169860 160902280 166581184 173380416 175529760 176992508 178479840 183888320 189634830 193082736 202277152 208226480 216725520 221240635 227156160 241353420 249871776 252846440 257443648 265488762 275832480 288967360 303415728 312339720 321804560 351059520 353985016 356959680 379269660 386165472 404554304 416452960 433451040 442481270 482706840 499743552 505692880 530977524 551664960 606831456 624679440 643609120 663721905 707970032 758539320 772330944 832905920 866902080 884962540 965413680 1011385760 1061955048 1213662912 1249358880 1287218240 1327443810 1415940064 1517078640 1769925080 1930827360 2022771520 2123910096 2498717760 2654887620 2831880128 3034157280 3539850160 3861654720 4247820192 5309775240 6068314560 7079700320 8495640384 10619550480 14159400640 21239100960 42478201920
- Sum of all divisors σ(n): 183006552960
- Sum of proper divisors (its aliquot sum) s(n): 140528351040
- 42478201920 is an abundant number, because the sum of its proper divisors (140528351040) is greater than itself. Its abundance is 98050149120
Bases of 42478201920
- Binary: 1001111000111110010111101100010000002
- Hexadecimal: 0x9E3E5EC40
- Base-36: JIIFADC
Squares and roots of 42478201920
- 42478201920 squared (424782019202) is 1804397638356291686400
- 42478201920 cubed (424782019203) is 76647567226069695157316517888000
-
The
square root of 42478201920 is 206102.4063906097 -
The
cube root of 42478201920 is 3489.1692924111
Scales and comparisons
How big is 42478201920?- 42,478,201,920 seconds is equal to 1,350 years, 35 weeks, 20 hours, 32 minutes.
-
To count from 1 to 42,478,201,920 would take you about two thousand, seven hundred 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 42478201920 cubic inches would be around 290.8 feet tall.
Recreational maths with 42478201920
- 42478201920 backwards is 02910287424
- The number of decimal digits it has is: 11
- The sum of 42478201920's digits is 39
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42478201920 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 42478201920 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/42478201920/
Chicago style:
Numbermatics. 2024. "Number 42478201920 - Facts about the integer". https://numbermatics.com/n/42478201920/
The information we have on file for 42478201920 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 42478201920, math, Factors of 42478201920, curriculum, school, college, exams, university, Prime factorization of 42478201920, STEM, science, technology, engineering, physics, economics, calculator, forty-two billion, four hundred seventy-eight million, two hundred one thousand, nine hundred twenty.