401981768312023809

Names of 401981768312023809

• Cardinal: 401981768312023809 can be written as Four hundred one quadrillion, nine hundred eighty-one trillion, seven hundred sixty-eight billion, three hundred twelve million, twenty-three thousand, eight hundred nine.

Scientific notation

• Scientific notation: 4.01981768312023809 × 10¹⁷

Factors of 401981768312023809

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 960919211

Divisors of 401981768312023809

• Number of divisors d(n): 144
• Complete list of divisors:
  1 3 7 9 13 21 27 39 49 63 91 117 147 169 189 273 351 441 507 637 819 1183 1323 1521 1871 1911 2457 3549 4563 5613 5733 8281 10647 13097 16839 17199 24323 24843 31941 39291 50517 72969 74529 91679 117873 170261 218907 223587 275037 316199 353619 510783 656721 825111 948597 1191827 1532349 2213393 2475333 2845791 3575481 4597047 6640179 8537373 10726443 15493751 19920537 32179329 46481253 59761611 139443759 418331277 960917317 2882751951 6726421219 8648255853 12491925121 20179263657 25944767559 37475775363 47084948533 60537790971 87443475847 112427326089 141254845599 162395026573 181613372913 262330427541 337281978267 423764536797 487185079719 612104330929 786991282623 1136765186011 1271293610391 1461555239157 1797876300107 1836312992787 2360973847869 3410295558033 4384665717471 5393628900321 5508938978361 7957356302077 10230886674099 12585134100749 16180886700963 16526816935083 23372391901391 23872068906231 30692660022297 37755402302247 48542660102889 70117175704173 71616206718693 88095938705243 113266206906741 163606743309737 210351527112519 214848620156079 264287816115729 303841094718083 339798620720223 490820229929211 631054581337557 792863448347187 911523284154249 1145247203168159 1472460689787633 2126887663026581 2378590345041561 2734569852462747 3435741609504477 4417382069362899 6380662989079743 8203709557388241 10307224828513431 14888213641186067 19141988967239229 30921674485540293 44664640923558201 57425966901717687 133993922770674603 401981768312023809
• Sum of all divisors σ(n): 750546841379063040
• Sum of proper divisors (its aliquot sum) s(n): 348565073067039231
• 401981768312023809 is a deficient number, because the sum of its proper divisors (348565073067039231) is less than itself. Its deficiency is 53416695244984578

Bases of 401981768312023809

• Binary: 10110010100001000000100100111011010011010111110101100000001₂
• Hexadecimal: 0x5942049DA6BEB01
• Base-36: 31Y2N6ZRADQ9

Squares and roots of 401981768312023809

• 401981768312023809 squared (401981768312023809²) is 161589342055261588897187481382868481
• 401981768312023809 cubed (401981768312023809³) is 64955969459750529209267203452845104232053618787664129
• The square root of 401981768312023809 is 634020321.6869501959
• The cube root of 401981768312023809 is 738021.1118487257

Scales and comparisons

• 401,981,768,312,023,809 seconds is equal to 12,781,776,821 years, 3 weeks, 5 days, 15 hours, 30 minutes, 9 seconds.
• To count from 1 to 401,981,768,312,023,809 would take you about thirty-eight billion, three hundred forty-five million, three hundred thirty thousand, four hundred sixty-three 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 401981768312023809 cubic inches would be around 61501.8 feet tall.

Recreational maths with 401981768312023809

• 401981768312023809 backwards is 908320213867189104
• The number of decimal digits it has is: 18
• The sum of 401981768312023809's digits is 72
• More coming soon!