329973690742138621983

Names of 329973690742138621983

• Cardinal: 329973690742138621983 can be written as Three hundred twenty-nine quintillion, nine hundred seventy-three quadrillion, six hundred ninety trillion, seven hundred forty-two billion, one hundred thirty-eight million, six hundred twenty-one thousand, nine hundred eighty-three.

Scientific notation

• Scientific notation: 3.29973690742138621983 × 10²⁰

Factors of 329973690742138621983

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 6036287

Divisors of 329973690742138621983

• Number of divisors d(n): 192
• Complete list of divisors:
  1 3 7 19 21 29 49 57 87 133 147 203 399 551 609 931 1093 1421 1653 2793 3279 3857 4263 7651 11571 20767 22953 26999 31697 53557 62301 80997 95091 145369 160671 221879 436107 602243 665637 698419 1017583 1553153 1806729 2095257 3052749 4215701 4659459 4888933 5336717 12647103 13269961 14666799 16010151 20254151 29509907 34222531 37357019 39809883 60762453 88529721 92889727 101397623 102667593 112071057 141779057 154764793 261499133 278669181 304192869 384828869 425337171 464294379 650228089 709783361 763371967 784497399 992453399 1083353551 1154486607 1950684267 2129350083 2290115901 2693802083 2940531067 2977360197 3250060653 4968483527 5343603769 5833031681 7583474857 8081406249 8821593201 14504067373 14905450581 16030811307 17499095043 18856614581 20583717469 22137787043 22750424571 37405226383 40831221767 43512202119 56569843743 61751152407 66413361129 101528471611 110827601939 112215679149 122493665301 144086022283 154964509301 169157918749 285818552369 304585414833 332482805817 420617953817 432258066849 464893527903 507473756247 710699301277 775793213573 857455657107 1084751565107 1184105431243 1261853861451 2132097903831 2327379640719 2944325676719 3214000456231 3254254695321 3552316293729 3727264550423 5430552495011 8288738018701 8832977030157 9642001368693 11181793651269 16291657485033 20610279737033 22498003193617 24866214056103 26090851852961 61830839211099 67494009580851 70818026458037 78272555558883 108090671962267 157486022355319 182635962970727 212454079374111 324272015886801 472458067065957 495726185206259 547907888912181 756634703735869 1487178555618777 2053722767283073 2269904111207607 3470083296443813 4073900153612339 5296442926151083 6161168301849219 10410249889331439 12221700460837017 14376059370981511 15889328778453249 28517301075286373 43128178112944533 77404102918634441 85551903225859119 100632415596870577 118143104454757831 199621107527004611 232212308755903323 301897246790611731 354429313364273493 541828720430441087 598863322581013833 827001731183304817 1625486161291323261 2244718984640398789 2481005193549914451 3792801043013087609 5789012118283133719 6734156953921196367 11378403129039262827 15713032892482791523 17367036354849401157 47139098677448374569 109991230247379540661 329973690742138621983
• Sum of all divisors σ(n): 557820334018441152000
• Sum of proper divisors (its aliquot sum) s(n): 227846643276302530017
• 329973690742138621983 is a deficient number, because the sum of its proper divisors (227846643276302530017) is less than itself. Its deficiency is 102127047465836091966

Bases of 329973690742138621983

• Binary: 100011110001101001110000010110111010001010101110001100101000000011111₂
• Hexadecimal: 0x11E34E0B7455C6501F
• Base-36: 1XMZH34X268PB3

Squares and roots of 329973690742138621983

• 329973690742138621983 squared (329973690742138621983²) is 108882636581988539725260988778826170852289
• 329973690742138621983 cubed (329973690742138621983³) is 35928405450693755861688714750001509092046326681024279101269087
• The square root of 329973690742138621983 is 18165177971.6615664647
• The cube root of 329973690742138621983 is 6910239.5805784009

Scales and comparisons

• 329,973,690,742,138,621,983 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 329,973,690,742,138,621,983 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 329973690742138621983 cubic inches would be around 575853.3 feet tall.

Recreational maths with 329973690742138621983

• 329973690742138621983 backwards is 389126831247096379923
• The number of decimal digits it has is: 21
• The sum of 329973690742138621983's digits is 102
• More coming soon!