13828259872003752

Names of 13828259872003752

• Cardinal: 13828259872003752 can be written as Thirteen quadrillion, eight hundred twenty-eight trillion, two hundred fifty-nine billion, eight hundred seventy-two million, three thousand, seven hundred fifty-two.

Scientific notation

• Scientific notation: 1.3828259872003752 × 10¹⁶

Factors of 13828259872003752

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 18684

Divisors of 13828259872003752

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 846 987 1128 1269 1316 1512 1692 1974 2538 2632 2961 3384 3413 3948 5076 5922 6691 6826 7896 8521 8883 10152 10239 11844 13382 13652 17042 17766 20073 20478 23688 23891 25563 26764 27304 30717 34084 35532 40146 40956 46837 47782 51126 53528 59647 60219 61434 68168 71064 71673 76689 80292 81912 92151 93674 95564 102252 119294 120438 122868 140511 143346 153378 160411 160584 178941 180657 184302 187348 191128 204504 215019 230067 238588 240876 245736 281022 286692 306756 314477 320822 357882 361314 368604 374696 400487 421533 430038 460134 477176 481233 481752 536823 562044 573384 613512 628954 641644 645057 715764 722628 737208 800974 843066 860076 920268 943431 962466 1073646 1122877 1124088 1201461 1257908 1264599 1283288 1290114 1431528 1443699 1445256 1601948 1610469 1686132 1720152 1840536 1886862 1924932 2147292 2201339 2245754 2402922 2515816 2529198 2580228 2803409 2830293 2887398 3203896 3220938 3368631 3372264 3604383 3773724 3849864 4294584 4331097 4402678 4491508 4805844 5058396 5160456 5606818 5660586 5774796 6441876 6604017 6737262 7208766 7547448 8410227 8490879 8662194 8805356 8983016 9611688 10105893 10116792 10813149 11213636 11321172 11549592 12883752 13208034 13474524 14417532 16820454 16981758 17324388 17610712 19812051 20211786 21626298 22427272 22642344 22836383 25230681 26416068 26949048 28835064 29082173 30317679 33640908 33963516 34648776 39624102 40423572 43252596 45672766 50461362 52832136 57014011 58164346 59436153 60635358 67281816 67927032 68509149 75692043 79248204 80847144 86505192 87246519 91345532 100922724 114028022 116328692 118872306 121270716 137018298 151384086 158496408 159854681 171042033 174493038 182691064 201845448 203575211 205527447 228056044 232657384 237744612 242541432 261739557 274036596 302768172 319709362 342084066 348986076 399098077 407150422 411054894 456112088 475489224 479564043 513126099 523479114 548073192 605536344 610725633 616582341 639418724 684168132 697972152 785218671 798196154 814300844 822109788 959128086 1026252198 1046958228 1073310001 1197294231 1221451266 1233164682 1278837448 1366862131 1368336264 1438692129 1539378297 1570437342 1596392308 1628601688 1644219576 1832176899 1918256172 2052504396 2093916456 2146620002 2394588462 2442902532 2466329364 2679658517 2733724262 2877384258 3078756594 3140874684 3192784616 3219930003 3591882693 3664353798 3836512344 4100586393 4105008792 4293240004 4316076387 4789176924 4885805064 4932658728 5359317034 5467448524 5496530697 5754768516 6157513188 6281749368 6439860006 7183765386 7328707596 7513170007 8038975551 8201172786 8586480008 8632152774 9568034917 9578353848 9659790009 10718634068 10775648079 10934897048 10993061394 11509537032 12301759179 12315026376 12879720012 14367530772 14657415192 15026340014 16077951102 16402345572 17264305548 18757609619 19136069834 19319580018 21437268136 21551296158 21986122788 22539510021 24116926653 24603518358 25759440024 28704104751 28735061544 28979370027 30052680028 32155902204 32804691144 34528611096 36905277537 37515219238 38272139668 38639160036 43102592316 43972245576 45079020042 48233853306 49207036716 56272828857 57408209502 57958740054 60105360056 64311804408 67618530063 72350779959 73810555074 75030438476 76544279336 77278320072 86112314253 86205184632 90158040084 96467706612 98414073432 112545657714 114816419004 115917480108 135237060126 144701559918 147621110148 150060876952 168818486571 172224628506 180316080168 192935413224 194588819543 202855590189 225091315428 229632838008 231834960216 258336942759 270474120252 289403119836 295242220296 337636973142 344449257012 389177639086 405711180378 450182630856 506455459713 516673885518 540948240504 578806239672 583766458629 675273946284 688898514024 778355278172 811422360756 1012910919426 1033347771036 1167532917258 1350547892568 1362121736801 1556710556344 1622844721512 1751299375887 2025821838852 2066695542072 2335065834516 2724243473602 3502598751774 4051643677704 4086365210403 4670131669032 5253898127661 5448486947204 7005197503548 8172730420806 9145674518521 10507796255322 10896973894408 12259095631209 14010395007096 16345460841612 18291349037042 21015592510644 24518191262418 27437023555563 32690921683224 36582698074084 36777286893627 42031185021288 49036382524836 54874047111126 64019721629647 73165396148168 73554573787254 82311070666689 98072765049672 109748094222252 128039443259294 147109147574508 164622141333378 192059164888941 219496188444504 246933212000067 256078886518588 294218295149016 329244282666756 384118329777882 493866424000134 512157773037176 576177494666823 658488565333512 768236659555764 987732848000268 1152354989333646 1536473319111528 1728532484000469 1975465696000536 2304709978667292 3457064968000938 4609419957334584 6914129936001876 13828259872003752
• Sum of all divisors σ(n): 44858366377574400
• Sum of proper divisors (its aliquot sum) s(n): 31030106505570648
• 13828259872003752 is an abundant number, because the sum of its proper divisors (31030106505570648) is greater than itself. Its abundance is 17201846633566896

Bases of 13828259872003752

• Binary: 110001001000001011101010100101100010000101011010101000₂
• Hexadecimal: 0x3120BAA58856A8
• Base-36: 3S5PIVWP960

Squares and roots of 13828259872003752

• 13828259872003752 squared (13828259872003752²) is 191220771087669223646079502077504
• 13828259872003752 cubed (13828259872003752³) is 2644250515525231579687595643627209287411282795008
• The square root of 13828259872003752 is 117593621.7318088729
• The cube root of 13828259872003752 is 240024.6495053133

Scales and comparisons

• 13,828,259,872,003,752 seconds is equal to 439,695,890 years, 16 weeks, 2 days, 2 hours, 49 minutes, 12 seconds.
• To count from 1 to 13,828,259,872,003,752 would take you about one billion, three hundred nineteen million, eighty-seven thousand, six hundred seventy 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 13828259872003752 cubic inches would be around 20002.1 feet tall.

Recreational maths with 13828259872003752

• 13828259872003752 backwards is 25730027895282831
• 13828259872003752 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13828259872003752's digits is 72
• More coming soon!