442185693312

Names of 442185693312

• Cardinal: 442185693312 can be written as Four hundred forty-two billion, one hundred eighty-five million, six hundred ninety-three thousand, three hundred twelve.

Scientific notation

• Scientific notation: 4.42185693312 × 10¹¹

Factors of 442185693312

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 182

Divisors of 442185693312

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 22 24 29 32 33 34 44 48 51 58 59 61 64 66 68 87 88 96 102 116 118 122 128 132 136 174 176 177 183 187 192 204 232 236 244 264 272 319 348 352 354 366 374 384 408 464 472 488 493 528 544 561 638 649 671 696 704 708 732 748 816 928 944 957 976 986 1003 1037 1056 1088 1122 1276 1298 1342 1392 1408 1416 1464 1479 1496 1632 1711 1769 1856 1888 1914 1947 1952 1972 2006 2013 2074 2112 2176 2244 2552 2596 2684 2784 2832 2928 2958 2992 3009 3111 3264 3422 3481 3538 3599 3712 3776 3828 3894 3904 3944 4012 4026 4148 4224 4488 5104 5133 5192 5307 5368 5423 5568 5664 5856 5916 5984 6018 6222 6528 6844 6962 7076 7198 7552 7656 7788 7808 7888 8024 8052 8296 8976 10208 10266 10384 10443 10614 10736 10797 10846 11033 11136 11328 11407 11712 11832 11968 12036 12444 13688 13924 14152 14396 15312 15576 15776 16048 16104 16269 16592 17952 18821 19459 20416 20532 20768 20886 21228 21472 21594 21692 22066 22656 22814 23424 23664 23936 24072 24888 27376 27848 28304 28792 29087 30073 30624 31152 31552 32096 32208 32538 33099 33184 34221 35904 37642 38291 38918 39589 40832 41064 41536 41772 42456 42944 43188 43384 44132 45628 47328 48144 49776 54752 55696 56463 56608 57584 58174 58377 59177 60146 61183 61248 62304 63104 64192 64416 65076 66198 66368 68442 71808 75284 76582 77836 79178 82128 83072 83544 84912 85888 86376 86768 87261 88264 90219 91256 94656 96288 99552 100949 104371 109504 111392 112926 113216 114873 115168 116348 116754 118354 118767 120292 122366 122496 124608 128384 128832 130152 132396 132736 136884 150568 153164 155672 158356 164256 167088 169824 172752 173536 174522 176528 177531 180438 182512 183549 189312 192576 199104 201898 208742 212341 219008 222784 225852 226432 229746 230336 232696 233508 236708 237534 240584 244732 249216 257664 260304 264792 273768 301136 302847 306328 311344 313113 316712 319957 328512 330803 334176 339648 345504 347072 349044 353056 355062 360876 365024 367098 385152 398208 403796 417484 424682 445568 451704 459492 460672 465392 467016 473416 475068 481168 489464 520608 529584 547536 602272 605694 612656 622688 626226 633424 637023 639914 650947 657024 661606 668352 673013 679296 691008 694144 698088 706112 710124 721752 730048 734196 807592 834968 849364 903408 918984 930784 934032 946832 950136 959871 962336 978928 992409 1041216 1059168 1095072 1110439 1148081 1204544 1211388 1225312 1245376 1252452 1266848 1274046 1279828 1301894 1323212 1336704 1346026 1382016 1396176 1412224 1420248 1443504 1460096 1468392 1615184 1669936 1698728 1716133 1774307 1806816 1837968 1861568 1868064 1893664 1900272 1919742 1924672 1952841 1957856 1984818 2019039 2082432 2118336 2190144 2220878 2296162 2335751 2409088 2422776 2450624 2490752 2504904 2533696 2548092 2559656 2603788 2646424 2692052 2792352 2840496 2887008 2936784 3230368 3331317 3339872 3397456 3432266 3444243 3548614 3609797 3613632 3675936 3723136 3736128 3787328 3800544 3839484 3849344 3905682 3915712 3969636 4038078 4236672 4380288 4441756 4592324 4671502 4845552 4901248 5009808 5067392 5096184 5119312 5148399 5207576 5292848 5322921 5384104 5584704 5680992 5774016 5873568 6157889 6460736 6662634 6679744 6794912 6864532 6888486 7007253 7097228 7219594 7227264 7351872 7472256 7574656 7601088 7678968 7811364 7831424 7939272 8076156 8883512 9184648 9343004 9691104 10019616 10192368 10238624 10296798 10415152 10585696 10645842 10768208 10829391 11169408 11361984 11548032 11747136 12315778 12921472 13325268 13359488 13589824 13729064 13776972 14014506 14194456 14439188 14703744 15202176 15357936 15622728 15878544 16152312 17767024 18369296 18473667 18686008 18877463 19382208 19517377 20039232 20384736 20477248 20593596 20830304 21171392 21291684 21536416 21658782 22723968 23494272 24631556 26650536 27179648 27458128 27553944 28029012 28388912 28878376 30715872 31245456 31757088 32304624 35534048 36738592 36947334 37372016 37754926 38764416 39034754 39707767 40078464 40769472 40954496 41187192 41660608 42342784 42583368 43072832 43317564 49263112 53301072 54916256 55107888 56058024 56632389 56777824 57756752 58552131 61431744 62490912 63514176 64609248 67736779 71068096 73477184 73894668 74744032 75509852 78069508 79415534 81538944 82374384 83321216 85166736 86145664 86635128 98526224 104684113 106602144 109832512 110215776 112116048 113264778 113555648 115513504 117104262 119123301 122863488 124981824 127028352 129218496 135473558 142136192 146954368 147789336 149488064 151019704 156139016 158831068 164748768 170333472 173270256 197052448 203210337 209368226 213204288 219665024 220431552 224232096 226529556 227111296 231027008 234208524 238246602 249963648 258436992 270947116 295578672 298976128 302039408 312278032 314052339 317662136 329497536 340666944 346540512 394104896 406420674 418736452 426408576 440863104 448464192 453059112 462054016 468417048 476493204 541894232 591157344 604078816 624556064 628104678 635324272 658995072 681333888 693081024 788209792 812841348 837472904 896928384 906118224 936834096 952986408 1083788464 1151525243 1182314688 1208157632 1249112128 1256209356 1270648544 1386162048 1625682696 1674945808 1812236448 1873668192 1905972816 2167576928 2303050486 2364629376 2416315264 2498224256 2512418712 2541297088 3251365392 3349891616 3454575729 3624472896 3747336384 3811945632 4335153856 4606100972 5024837424 5082594176 6502730784 6699783232 6909151458 7248945792 7494672768 7623891264 8670307712 9212201944 10049674848 13005461568 13399566464 13818302916 15247782528 18424403888 20099349696 26010923136 27636605832 36848807776 40198699392 55273211664 73697615552 110546423328 147395231104 221092846656 442185693312
• Sum of all divisors σ(n): 1451084803200
• Sum of proper divisors (its aliquot sum) s(n): 1008899109888
• 442185693312 is an abundant number, because the sum of its proper divisors (1008899109888) is greater than itself. Its abundance is 566713416576

Bases of 442185693312

• Binary: 110011011110100010100100011100010000000₂
• Hexadecimal: 0x66F4523880
• Base-36: 5N4XY0LC

Squares and roots of 442185693312

• 442185693312 squared (442185693312²) is 195528187369814121529344
• 442185693312 cubed (442185693312³) is 86459767094159899069021202392547328
• The square root of 442185693312 is 664970.4454425023
• The cube root of 442185693312 is 7618.4781976245

Scales and comparisons

• 442,185,693,312 seconds is equal to 14,060 years, 7 weeks, 23 hours, 15 minutes, 12 seconds.
• To count from 1 to 442,185,693,312 would take you about twenty-eight thousand, one hundred twenty 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 442185693312 cubic inches would be around 634.9 feet tall.

Recreational maths with 442185693312

• 442185693312 backwards is 213396581244
• 442185693312 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442185693312's digits is 48
• More coming soon!