442145053350
442,145,053,350 is an even composite number composed of nine prime numbers multiplied together.
What does the number 442145053350 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1728 divisors.
442145053350 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 442145053350:
2 × 32 × 52 × 7 × 112 × 13 × 17 × 29 × 181
(2 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 13 × 17 × 29 × 181)See below for interesting mathematical facts about the number 442145053350 from the Numbermatics database.
Names of 442145053350
- Cardinal: 442145053350 can be written as Four hundred forty-two billion, one hundred forty-five million, fifty-three thousand, three hundred fifty.
Scientific notation
- Scientific notation: 4.4214505335 × 1011
Factors of 442145053350
Divisors of 442145053350
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 5 6 7 9 10 11 13 14 15 17 18 21 22 25 26 29 30 33 34 35 39 42 45 50 51 55 58 63 65 66 70 75 77 78 85 87 90 91 99 102 105 110 117 119 121 126 130 143 145 150 153 154 165 170 174 175 181 182 187 195 198 203 210 221 225 231 234 238 242 255 261 273 275 286 290 306 315 319 325 330 350 357 362 363 374 377 385 390 406 425 429 435 442 450 455 462 493 495 510 522 525 543 546 550 561 585 595 605 609 630 638 650 663 693 714 715 725 726 754 765 770 819 825 847 850 858 870 905 910 935 957 975 986 990 1001 1015 1050 1071 1086 1089 1105 1122 1131 1155 1170 1190 1210 1218 1267 1275 1287 1305 1309 1326 1365 1386 1430 1450 1479 1530 1547 1573 1575 1595 1629 1638 1650 1683 1694 1785 1810 1815 1827 1870 1885 1914 1925 1950 1989 1991 2002 2030 2057 2142 2145 2175 2178 2210 2233 2262 2275 2310 2353 2431 2465 2475 2534 2541 2550 2574 2610 2618 2639 2715 2730 2805 2871 2925 2958 2975 3003 3025 3045 3077 3094 3146 3150 3190 3258 3315 3366 3393 3451 3465 3509 3570 3575 3630 3654 3770 3801 3825 3850 3927 3978 3982 4095 4114 4147 4235 4290 4350 4437 4466 4525 4550 4641 4675 4706 4719 4785 4862 4930 4950 5005 5075 5082 5249 5278 5355 5423 5430 5445 5525 5610 5655 5742 5775 5850 5950 5973 6006 6050 6090 6154 6171 6335 6409 6435 6525 6545 6630 6699 6786 6825 6902 6930 7018 7059 7150 7293 7395 7602 7623 7650 7735 7854 7865 7917 7975 8145 8190 8294 8415 8470 8874 8925 9009 9050 9075 9135 9231 9282 9350 9425 9438 9570 9945 9955 10010 10150 10285 10353 10498 10527 10710 10725 10846 10890 11011 11050 11165 11310 11403 11550 11765 11781 11946 12155 12325 12342 12441 12670 12705 12818 12870 13050 13090 13195 13398 13575 13650 13923 13937 14025 14118 14157 14355 14399 14586 14790 15015 15225 15246 15385 15470 15730 15747 15834 15950 16269 16290 16471 16575 16830 16965 17017 17255 17325 17545 17850 17919 18018 18150 18270 18462 18513 18850 19005 19227 19635 19890 19910 20097 20475 20570 20706 20735 21054 21175 21177 21450 21539 21879 21901 22022 22185 22330 22806 23205 23530 23562 23595 23751 23925 24310 24563 24650 24882 25025 25410 25883 26245 26390 26741 26775 27115 27150 27225 27693 27846 27874 28050 28275 28314 28710 28798 29029 29865 30030 30450 30770 30855 31059 31494 31581 31675 32045 32175 32538 32725 32942 33033 33150 33495 33847 33930 34034 34510 34650 35090 35295 35838 36465 36743 36975 37026 37323 37961 38010 38115 38454 38675 39270 39325 39585 40001 40194 40725 40950 41470 41811 42075 42350 42354 43078 43197 43758 43802 44370 44863 45045 45617 45675 46155 46410 47190 47241 47502 47850 48807 49126 49413 49725 49775 50050 51051 51425 51765 51766 52490 52635 53482 53550 54230 54450 55055 55386 55825 56550 57015 57681 57739 58058 58825 58905 59653 59730 60775 61710 62118 62205 63162 63350 63525 64090 64350 64617 65450 65703 65975 66066 66990 67694 68237 69615 69685 70499 70590 70785 71775 71995 72930 73486 73689 73950 74646 75075 75922 76230 76925 77350 77649 78650 78735 79170 80002 80223 81345 81450 82355 83622 84150 84825 85085 86275 86394 87087 87725 89233 89595 89726 90090 91234 91350 92310 92565 94482 95025 96135 97614 98175 98826 99099 99450 99550 100485 101541 102102 102850 103530 103675 105270 105885 107695 109395 109505 110110 110229 110925 111650 113883 114030 115362 115478 116025 117650 117810 117975 118755 119306 120003 121550 122815 124410 125433 127050 129234 129415 129591 131225 131406 131950 133705 134589 135575 136474 136851 138465 139230 139370 140998 141570 143550 143990 145145 147378 148239 149325 150150 153153 153307 153850 154275 155295 155298 157470 157905 160225 160446 162690 164710 165165 167475 169235 169650 170170 172550 173217 174174 175450 176475 178466 178959 179190 181181 182325 183715 185130 186615 187187 189805 190050 190575 192270 193851 196350 197109 197925 198198 200005 200970 203082 204711 207350 209055 211497 211770 215390 215985 218790 219010 220458 221067 221850 224315 225225 227766 228085 230775 232050 232947 235950 236205 236929 237510 240006 240669 244035 245630 247065 250866 255255 258825 258830 259182 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29040726 29446890 29894865 30312975 30706650 30800770 31231550 31317825 31525494 31724550 31756450 32391579 32570538 33000825 33508530 33777315 33880847 34354705 34494075 34800870 34897005 35539350 35824425 35873838 36375570 37011975 37530350 37581390 38280957 38774450 39093285 39600990 40013127 40154850 40601015 40765725 41225646 41283385 42001050 42117075 42706950 42989310 43561089 44170335 44414370 44459030 46201155 46847325 46911942 47288241 47634675 47897850 48401210 48721218 48855807 49078150 49540062 49824775 52201305 52542490 53309025 53985965 54284230 55441386 55847550 56216790 56295525 57161610 57796739 58001450 58161675 59789730 60625950 61838469 62635650 63001575 63801595 64060425 64783158 65155475 66001650 66688545 67554630 67761694 68709410 68988150 69794010 71648850 71846775 72601815 73081827 73617225 74023950 74310093 75580351 76561914 77001925 78186570 78813735 80026254 81202030 81426345 81531450 82566770 83771325 84234150 87002175 87122178 88340670 89322233 89684595 90938925 92402310 93694650 93953475 94576482 95269350 97174737 97711614 99002475 99649550 101642541 103064115 104402610 106618050 107473275 107971930 111035925 111147575 112591050 114842871 115593478 116323350 117279855 121003025 121803045 123676938 123850155 126003150 127603190 128120850 130310950 131356225 133377090 135710575 138603465 140363509 140541975 142904025 143693550 145203630 146163654 147234450 148620186 149474325 151160702 154003850 157627470 161957895 162852690 167542650 168886575 169404235 171773525 173390217 174004350 174485025 178644466 179369190 181877850 187906950 191404785 194349474 195466425 198004950 200065635 203005075 203285082 206128230 206416925 214946550 217805445 220851675 222071850 222295150 226741053 229685742 231005775 234559710 236441205 242006050 243606090 244279035 247700310 261006525 262712450 267966699 269929825 271421150 277206930 280727018 281083950 285808050 288983695 298948650 304927623 309192345 319007975 323915790 333442725 337773150 338808470 343547050 346780434 348970050 363009075 365409135 371550465 377901755 382809570 390932850 394068675 400131270 406010150 407131725 412833850 421090527 435610890 441703350 446611165 448422975 453482106 462011550 472882410 485873685 488558070 508212705 515320575 520170651 522013050 535933398 539859650 574214355 577967390 586399275 609015225 609855246 618384690 619250775 638015950 666885450 680223159 693017325 701817545 726018150 730818270 743100930 755803510 788137350 803900097 809789475 814263450 842181054 847021175 866951085 893222330 896845950 957023925 971747370 982544563 1000328175 1016425410 1030641150 1040341302 1089027225 1133705265 1148428710 1172798550 1182206025 1218030450 1221395175 1238501550 1263271581 1339833495 1360446318 1386034650 1403635090 1444918475 1524638115 1545961725 1607800194 1619578950 1694042350 1733902170 1827045675 1857752325 1889508775 1914047850 1965089126 2000656350 2105452635 2178054450 2233055825 2267410530 2364412050 2429368425 2442790350 2526543162 2541063525 2600853255 2679666990 2871071775 2889836950 2947633689 3049276230 3091923450 3401115795 3509087725 3654091350 3715504650 3779017550 4019500485 4210905270 4334755425 4466111650 4858736850 4912722815 5082127050 5201706510 5668526325 5742143550 5895267378 6316357905 6699167475 6802231590 7018175450 7623190575 8039000970 8669510850 8842901067 9825445630 10527263175 11337052650 12632715810 13004266275 13398334950 14738168445 15246381150 17005578975 17685802134 20097502425 21054526350 24563614075 26008532550 29476336890 31581789525 34011157950 40195004850 44214505335 49127228150 63163579050 73690842225 88429010670 147381684450 221072526675 442145053350
- Sum of all divisors σ(n): 1769950465920
- Sum of proper divisors (its aliquot sum) s(n): 1327805412570
- 442145053350 is an abundant number, because the sum of its proper divisors (1327805412570) is greater than itself. Its abundance is 885660359220
Bases of 442145053350
- Binary: 1100110111100011110011000011010101001102
- Hexadecimal: 0x66F1E61AA6
- Base-36: 5N49QYLI
Squares and roots of 442145053350
- 442145053350 squared (4421450533502) is 195492248201874346222500
- 442145053350 cubed (4421450533503) is 86435930510729174380543633470375000
-
The
square root of 442145053350 is 664939.8870198719 -
The
cube root of 442145053350 is 7618.2447933069
Scales and comparisons
How big is 442145053350?- 442,145,053,350 seconds is equal to 14,058 years, 43 weeks, 6 days, 14 hours, 22 minutes, 30 seconds.
-
To count from 1 to 442,145,053,350 would take you about twenty-eight thousand, one hundred seventeen 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 442145053350 cubic inches would be around 634.9 feet tall.
Recreational maths with 442145053350
- 442145053350 backwards is 053350541244
- The number of decimal digits it has is: 12
- The sum of 442145053350's digits is 36
- More coming soon!
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"Number 442145053350 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 442145053350 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/442145053350/
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The information we have on file for 442145053350 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 442145053350, math, Factors of 442145053350, curriculum, school, college, exams, university, Prime factorization of 442145053350, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-two billion, one hundred forty-five million, fifty-three thousand, three hundred fifty.