428356639801728

Names of 428356639801728

• Cardinal: 428356639801728 can be written as Four hundred twenty-eight trillion, three hundred fifty-six billion, six hundred thirty-nine million, eight hundred one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.28356639801728 × 10¹⁴

Factors of 428356639801728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3538

Divisors of 428356639801728

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 64 66 72 88 96 99 106 128 132 144 159 176 192 198 212 264 288 318 352 384 396 424 477 528 576 583 636 704 792 848 954 1056 1152 1166 1272 1408 1584 1696 1749 1908 2112 2332 2544 2809 3168 3392 3469 3498 3816 4224 4664 5088 5247 5618 6336 6784 6938 6996 7632 8427 9328 10176 10407 10494 11236 12672 13876 13992 15264 16854 18656 20352 20814 20988 22472 25281 27752 27984 30528 30899 31221 33708 37312 38159 41628 41976 44944 50562 55504 55968 61056 61798 62442 67416 74624 76318 83256 83952 89888 92697 101124 111008 111936 114477 123596 124884 134832 152636 166512 167904 179776 183857 185394 202248 222016 223872 228954 247192 249768 269664 278091 305272 333024 335808 343431 359552 367714 370788 404496 444032 457908 494384 499536 539328 551571 556182 610544 666048 671616 686862 735428 741576 808992 915816 988768 999072 1078656 1103142 1112364 1221088 1332096 1373724 1470856 1483152 1617984 1654713 1831632 1977536 1998144 2022427 2206284 2224728 2442176 2747448 2941712 2966304 3235968 3309426 3663264 3955072 3996288 4044854 4412568 4449456 4884352 5494896 5883424 5932608 6067281 6618852 7326528 8089708 8825136 8898912 9744421 10989792 11766848 11865216 12033961 12134562 13237704 14653056 16179416 17650272 17797824 18201843 19488842 21979584 23533696 24067922 24269124 26475408 29233263 32358832 35300544 35595648 36101883 36403686 38977684 43959168 48135844 48538248 52950816 58466526 64717664 70601088 72203766 72807372 77955368 87699789 96271688 97076496 105901632 107188631 108305649 116933052 129435328 132373571 144407532 145614744 155910736 175399578 192543376 194152992 211803264 214377262 216611298 233866104 258870656 264747142 288815064 291229488 311821472 321565893 350799156 385086752 388305984 397120713 428754524 433222596 467732208 529494284 577630128 582458976 623642944 637799933 643131786 701598312 770173504 776611968 794241426 857509048 866445192 935464416 964697679 1058988568 1155260256 1164917952 1191362139 1247285888 1275599866 1286263572 1403196624 1540347008 1588482852 1715018096 1732890384 1870928832 1913399799 1929395358 2117977136 2310520512 2329835904 2382724278 2551199732 2572527144 2806393248 3176965704 3430036192 3465780768 3741857664 3826799598 3858790716 4235954272 4621041024 4765448556 5102399464 5145054288 5612786496 5740199397 6353931408 6860072384 6931561536 7015799263 7653599196 7717581432 8471908544 9530897112 10204798928 10290108576 11225572992 11480398794 12707862816 13720144768 13863123072 14031598526 15307198392 15435162864 16943817088 19061794224 20409597856 20580217152 21047397789 22960797588 25415725632 28063197052 30614396784 30870325728 33803396449 38123588448 40819195712 41160434304 42094795578 45921595176 50831451264 56126394104 61228793568 61740651456 63142193367 67606792898 76247176896 81638391424 84189591156 91843190352 101410189347 112252788208 122457587136 123481302912 126284386734 135213585796 152494353792 168379182312 183686380704 202820378694 224505576416 244915174272 252568773468 270427171592 304230568041 336758364624 367372761408 371837360939 405640757388 449011152832 505137546936 540854343184 608461136082 673516729248 734745522816 743674721878 811281514776 898022305664 1010275093872 1081708686368 1115512082817 1216922272164 1347033458496 1487349443756 1622563029552 2020550187744 2163417372736 2231024165634 2433844544328 2694066916992 2974698887512 3245126059104 3346536248451 4041100375488 4326834745472 4462048331268 4867689088656 5949397775024 6490252118208 6693072496902 8082200750976 8924096662536 9735378177312 11898795550048 12980504236416 13386144993804 17848193325072 19470756354624 23797591100096 26772289987608 35696386650144 38941512709248 47595182200192 53544579975216 71392773300288 107089159950432 142785546600576 214178319900864 428356639801728
• Sum of all divisors σ(n): 1370944701830340
• Sum of proper divisors (its aliquot sum) s(n): 942588062028612
• 428356639801728 is an abundant number, because the sum of its proper divisors (942588062028612) is greater than itself. Its abundance is 514231422226884

Bases of 428356639801728

• Binary: 1100001011001011010001101010110100100000110000000₂
• Hexadecimal: 0x185968D5A4180
• Base-36: 47U8BNHWG0

Squares and roots of 428356639801728

• 428356639801728 squared (428356639801728²) is 183489410862227344587151785984
• 428356639801728 cubed (428356639801728³) is 78598907476142395772998986148121574849380352
• The square root of 428356639801728 is 20696778.4884925509
• The cube root of 428356639801728 is 75382.1467181521

Scales and comparisons

• 428,356,639,801,728 seconds is equal to 13,620,416 years, 7 weeks, 6 days, 4 hours, 28 minutes, 48 seconds.
• To count from 1 to 428,356,639,801,728 would take you about thirty-four million, fifty-one thousand and forty 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 428356639801728 cubic inches would be around 6281.8 feet tall.

Recreational maths with 428356639801728

• 428356639801728 backwards is 827108936653824
• 428356639801728 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 428356639801728's digits is 72
• More coming soon!