442019083968

Names of 442019083968

• Cardinal: 442019083968 can be written as Four hundred forty-two billion, nineteen million, eighty-three thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 4.42019083968 × 10¹¹

Factors of 442019083968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 54

Divisors of 442019083968

• Number of divisors d(n): 1232
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 49 54 56 62 63 64 66 72 77 81 84 88 93 96 98 99 108 112 124 126 132 144 147 154 162 168 176 186 189 192 196 198 216 217 224 231 243 248 252 264 279 288 294 297 308 324 336 341 343 352 372 378 392 396 432 434 441 448 462 486 496 504 528 539 558 567 576 588 594 616 648 651 672 682 686 693 704 729 744 756 784 792 837 864 868 882 891 924 972 992 1008 1023 1029 1056 1078 1116 1134 1176 1188 1232 1296 1302 1323 1344 1364 1372 1386 1458 1488 1512 1519 1568 1584 1617 1674 1701 1728 1736 1764 1782 1848 1944 1953 1984 2016 2046 2058 2079 2112 2156 2187 2232 2268 2352 2376 2387 2464 2511 2592 2604 2646 2673 2728 2744 2772 2916 2976 3024 3038 3069 3087 3136 3168 3234 3348 3402 3472 3528 3564 3696 3773 3888 3906 3969 4032 4092 4116 4158 4312 4374 4464 4536 4557 4704 4752 4774 4851 4928 5022 5103 5184 5208 5292 5346 5456 5488 5544 5832 5859 5952 6048 6076 6138 6174 6237 6336 6468 6561 6696 6804 6944 7056 7128 7161 7392 7533 7546 7776 7812 7938 8019 8184 8232 8316 8624 8748 8928 9072 9114 9207 9261 9408 9504 9548 9702 10044 10206 10416 10584 10633 10692 10912 10976 11088 11319 11664 11718 11907 12096 12152 12276 12348 12474 12936 13122 13392 13608 13671 13888 14112 14256 14322 14553 14784 15066 15092 15309 15552 15624 15876 16038 16368 16464 16632 16709 17248 17496 17577 17856 18144 18228 18414 18522 18711 19008 19096 19404 19683 20088 20412 20832 21168 21266 21384 21483 21824 21952 22176 22599 22638 23328 23436 23814 24057 24304 24552 24696 24948 25872 26244 26784 27216 27342 27621 27783 28224 28512 28644 29106 30132 30184 30618 31248 31752 31899 32076 32736 32928 33264 33418 33957 34496 34992 35154 35721 36288 36456 36828 37044 37422 38192 38808 39366 40176 40824 41013 41664 42336 42532 42768 42966 43659 44352 45198 45276 45927 46656 46872 47628 48114 48608 49104 49392 49896 50127 51744 52488 52731 53568 54432 54684 55242 55566 56133 57024 57288 58212 59049 60264 60368 61236 62496 63504 63798 64152 64449 65472 65856 66528 66836 67797 67914 69984 70308 71442 72171 72912 73656 74088 74844 76384 77616 78732 80352 81648 82026 82863 83349 84672 85064 85536 85932 87318 90396 90552 91854 93744 95256 95697 96228 97216 98208 98784 99792 100254 101871 103488 104976 105462 107163 108864 109368 110484 111132 112266 114576 116424 116963 118098 120528 120736 122472 123039 124992 127008 127596 128304 128898 130977 133056 133672 135594 135828 137781 139968 140616 142884 144342 145824 147312 148176 149688 150381 152768 155232 157464 158193 160704 163296 164052 165726 166698 168399 170128 171072 171864 174636 180792 181104 183708 187488 190512 191394 192456 193347 196416 197568 199584 200508 203391 203742 209952 210924 214326 216513 218736 220968 222264 224532 229152 232848 233926 236196 241056 241472 244944 246078 248589 250047 254016 255192 256608 257796 261954 267344 271188 271656 275562 281232 285768 287091 288684 291648 294624 296352 299376 300762 305613 310464 314928 316386 321489 326592 328104 331452 333396 336798 340256 343728 349272 350889 361584 362208 367416 369117 374976 381024 382788 384912 386694 392931 399168 401016 406782 407484 413343 419904 421848 428652 433026 437472 441936 444528 449064 451143 458304 465696 467852 472392 474579 482112 489888 492156 497178 500094 505197 510384 513216 515592 523908 534688 542376 543312 551124 562464 571536 574182 577368 580041 589248 592704 598752 601524 610173 611226 629856 632772 642978 649539 656208 662904 666792 673596 680512 687456 698544 701778 723168 724416 734832 738234 745767 750141 762048 765576 769824 773388 785862 802032 813564 814968 826686 843696 857304 861273 866052 874944 883872 889056 898128 902286 916839 931392 935704 944784 949158 964467 979776 984312 994356 1000188 1010394 1020768 1031184 1047816 1052667 1069376 1084752 1086624 1102248 1107351 1124928 1143072 1148364 1154736 1160082 1178793 1197504 1203048 1220346 1222452 1259712 1265544 1285956 1299078 1312416 1325808 1333584 1347192 1353429 1374912 1397088 1403556 1423737 1446336 1469664 1476468 1491534 1500282 1515591 1531152 1539648 1546776 1571724 1604064 1627128 1629936 1653372 1687392 1714608 1722546 1732104 1740123 1767744 1778112 1796256 1804572 1830519 1833678 1871408 1889568 1898316 1928934 1968624 1988712 2000376 2020788 2041536 2062368 2095632 2105334 2169504 2173248 2204496 2214702 2237301 2250423 2286144 2296728 2309472 2320164 2357586 2406096 2440692 2444904 2531088 2571912 2583819 2598156 2624832 2651616 2667168 2694384 2706858 2750517 2794176 2807112 2847474 2893401 2939328 2952936 2983068 3000564 3031182 3062304 3093552 3143448 3158001 3208128 3254256 3259872 3306744 3322053 3374784 3429216 3445092 3464208 3480246 3536379 3592512 3609144 3661038 3667356 3742816 3779136 3796632 3857868 3937248 3977424 4000752 4041576 4060287 4124736 4191264 4210668 4271211 4339008 4408992 4429404 4474602 4500846 4546773 4593456 4618944 4640328 4715172 4812192 4881384 4889808 5062176 5143824 5167638 5196312 5220369 5303232 5334336 5388768 5413716 5501034 5614224 5694948 5786802 5905872 5966136 6001128 6062364 6124608 6187104 6286896 6316002 6508512 6519744 6613488 6644106 6711903 6751269 6858432 6890184 6928416 6960492 7072758 7218288 7322076 7334712 7485632 7593264 7715736 7751457 7874496 7954848 8001504 8083152 8120574 8251551 8382528 8421336 8542422 8817984 8858808 8949204 9001692 9093546 9186912 9280656 9430344 9474003 9624384 9762768 9779616 9966159 10124352 10287648 10335276 10392624 10440738 10609137 10777536 10827432 11002068 11228448 11389896 11573604 11811744 11932272 12002256 12124728 12180861 12374208 12573792 12632004 12813633 13017024 13226976 13288212 13423806 13502538 13780368 13856832 13920984 14145516 14436576 14644152 14669424 15186528 15431472 15502914 15661107 15909696 16003008 16166304 16241148 16503102 16842672 17084844 17717616 17898408 18003384 18187092 18373824 18561312 18860688 18948006 19525536 19559232 19932318 20135709 20253807 20575296 20670552 20785248 20881476 21218274 21654864 22004136 22456896 22779792 23147208 23254371 23623488 23864544 24004512 24249456 24361722 24754653 25147584 25264008 25627266 26453952 26576424 26847612 27005076 27560736 27841968 28291032 28422009 28873152 29288304 29338848 29898477 30373056 30862944 31005828 31322214 31827411 32332608 32482296 33006204 33685344 34169688 35435232 35796816 36006768 36374184 36542583 37122624 37721376 37896012 39051072 39864636 40271418 40507614 41341104 41570496 41762952 42436548 43309728 44008272 45559584 46294416 46508742 46983321 47729088 48009024 48498912 48723444 49509306 50528016 51254532 53152848 53695224 54010152 55121472 55683936 56582064 56844018 58576608 58677696 59796954 61725888 62011656 62644428 63654822 64964592 66012408 67370688 68339376 69763113 70870464 71593632 72013536 72748368 73085166 74263959 75442752 75792024 79729272 80542836 81015228 82682208 83525904 84873096 85266027 86619456 88016544 89695431 91119168 92588832 93017484 93966642 96997824 97446888 99018612 101056032 102509064 106305696 107390448 108020304 109627749 111367872 113164128 113688036 117153216 119593908 124023312 125288856 127309644 129929184 132024816 136678752 139526226 140949963 143187264 144027072 145496736 146170332 148527918 151584048 159458544 161085672 162030456 165364416 167051808 169746192 170532054 176033088 179390862 185177664 186034968 187933284 194893776 198037224 202112064 205018128 209289339 212611392 214780896 216040608 219255498 222791877 226328256 227376072 239187816 248046624 250577712 254619288 255798081 259858368 264049632 273357504 279052452 281899926 290993472 292340664 297055836 303168096 318917088 322171344 324060912 328883247 334103616 339492384 341064108 358781724 372069936 375866568 389787552 396074448 410036256 418578678 429561792 432081216 438510996 445583754 454752144 478375632 496093248 501155424 509238576 511596162 528099264 558104904 563799852 584681328 594111672 606336192 627868017 637834176 644342688 648121824 657766494 678984768 682128216 717563448 744139872 751733136 767394243 779575104 792148896 820072512 837157356 877021992 891167508 909504288 956751264 986649741 1002310848 1018477152 1023192324 1116209808 1127599704 1169362656 1188223344 1255736034 1288685376 1296243648 1315532988 1364256432 1435126896 1488279744 1503466272 1534788486 1584297792 1674314712 1754043984 1782335016 1819008576 1913502528 1973299482 2036954304 2046384648 2232419616 2255199408 2302182729 2338725312 2376446688 2511472068 2631065976 2728512864 2870253792 3006932544 3069576972 3348629424 3508087968 3564670032 3946598964 4092769296 4464839232 4510398816 4604365458 4752893376 5022944136 5262131952 5457025728 5740507584 6139153944 6697258848 6906548187 7016175936 7129340064 7893197928 8185538592 9020797632 9208730916 10045888272 10524263904 12278307888 13394517696 13813096374 14258680128 15786395856 16371077184 18417461832 20091776544 21048527808 24556615776 27626192748 31572791712 36834923664 40183553088 49113231552 55252385496 63145583424 73669847328 110504770992 147339694656 221009541984 442019083968
• Sum of all divisors σ(n): 1727811225600
• Sum of proper divisors (its aliquot sum) s(n): 1285792141632
• 442019083968 is an abundant number, because the sum of its proper divisors (1285792141632) is greater than itself. Its abundance is 843773057664

Bases of 442019083968

• Binary: 110011011101010011000111111011011000000₂
• Hexadecimal: 0x66EA63F6C0
• Base-36: 5N26R000

Squares and roots of 442019083968

• 442019083968 squared (442019083968²) is 195380870591909834625024
• 442019083968 cubed (442019083968³) is 86362073443906335052603477250015232
• The square root of 442019083968 is 664845.1578886621
• The cube root of 442019083968 is 7617.5212323143

Scales and comparisons

• 442,019,083,968 seconds is equal to 14,054 years, 43 weeks, 4 days, 14 hours, 52 minutes, 48 seconds.
• To count from 1 to 442,019,083,968 would take you about twenty-eight thousand, one hundred nine 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 442019083968 cubic inches would be around 634.8 feet tall.

Recreational maths with 442019083968

• 442019083968 backwards is 869380910244
• 442019083968 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442019083968's digits is 54
• More coming soon!