40628103746313825

Names of 40628103746313825

• Cardinal: 40628103746313825 can be written as Forty quadrillion, six hundred twenty-eight trillion, one hundred three billion, seven hundred forty-six million, three hundred thirteen thousand, eight hundred twenty-five.

Scientific notation

• Scientific notation: 4.0628103746313825 × 10¹⁶

Factors of 40628103746313825

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 8286

Divisors of 40628103746313825

• Number of divisors d(n): 324
• Complete list of divisors:
  1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 155 175 217 225 279 315 465 525 651 775 961 1085 1395 1575 1953 2089 2325 2883 3255 4805 5425 6151 6267 6727 6975 8649 9765 10445 14415 14623 16275 18453 18801 20181 24025 30755 31335 33635 43057 43245 43869 48825 52225 55359 60543 64759 72075 73115 92265 94005 100905 129171 131607 153775 156675 168175 190681 194277 215285 216225 219345 276795 302715 323795 365575 387513 453313 461325 470025 504525 572043 582831 645855 658035 953405 971385 1076425 1096725 1334767 1359939 1383975 1513575 1618975 1716129 1937565 2007529 2266565 2860215 2914155 3229275 3290175 4004301 4079817 4363921 4767025 4856925 5911111 6022587 6673835 6799695 8580645 9687825 10037645 11332825 12012903 12849439 13091763 14052703 14301075 14570775 17733333 18067761 20021505 20399085 21819605 29555555 30112935 30547447 33369175 33998475 38548317 39275289 41377777 42158109 42903225 50188225 53199999 60064515 64247195 65458815 70263515 88666665 89946073 90338805 91642341 100107525 101995425 109098025 115644951 124133331 126474327 135281551 147777775 150564675 152737235 192741585 196376445 206888885 210790545 265999995 269838219 274927023 300322575 321235975 327294075 351317575 372399993 398332609 405844653 443333325 449730365 451694025 458211705 578224755 620666655 632371635 676407755 763686175 809514657 946970857 963707925 981882225 1034444425 1053952725 1194997827 1217533959 1329999975 1349191095 1374635115 1861999965 1991663045 2029223265 2248651825 2291058525 2788328263 2840912571 2891123775 3103333275 3161858175 3382038775 3584993481 4047573285 4193728081 4734854285 5974989135 6087669795 6745955475 6873175575 8364984789 8522737713 9309999825 9958315225 10146116325 12348310879 12581184243 13941641315 14204562855 17924967405 20237866425 20968640405 23674271425 25094954367 26842478071 29356096567 29874945675 30438348975 37044932637 37743552729 41824923945 42613688565 61741554395 62905921215 69708206575 71022814275 80527434213 86438176153 88068289701 89624837025 104843202025 111134797911 125474771835 134212390355 146780482835 185224663185 187897346497 188717763645 209124619725 213068442825 241582302639 259314528459 264204869103 308707771975 314529606075 402637171065 432190880765 440341448505 555673989555 563692039491 627373859175 671061951775 733902414175 777943585377 832116820201 926123315925 939486732485 943588818225 1207911513195 1296572642295 1321024345515 1691076118473 2013185855325 2160954403825 2201707242525 2496350460603 2778369947775 2818460197455 3889717926885 4160584101005 4697433662425 5824817741407 6039557565975 6482863211475 6605121727575 7489051381809 8455380592365 12481752303015 14092300987275 17474453224221 19448589634425 20802920505025 25795621426231 29124088707035 37445256909045 42276902961825 52423359672663 62408761515075 77386864278693 87372266121105 128978107131155 145620443535175 180569349983617 187226284545225 232160592836079 262116798363315 386934321393465 436861330605525 541708049950851 644890535655775 902846749918085 1160802964180395 1310583991816575 1625124149852553 1934671606967325 2708540249754255 4514233749590425 5804014820901975 8125620749262765 13542701248771275 40628103746313825
• Sum of all divisors σ(n): 85989502040330304
• Sum of proper divisors (its aliquot sum) s(n): 45361398294016479
• 40628103746313825 is an abundant number, because the sum of its proper divisors (45361398294016479) is greater than itself. Its abundance is 4733294547702654

Bases of 40628103746313825

• Binary: 10010000010101110000101110001011101100100101111001100001₂
• Hexadecimal: 0x90570B8BB25E61
• Base-36: B41GL7402U9

Squares and roots of 40628103746313825

• 40628103746313825 squared (40628103746313825²) is 1650642814021239461832275386130625
• 40628103746313825 cubed (40628103746313825³) is 67062487496162313283941107113066755830873693390625
• The square root of 40628103746313825 is 201564143.0074154459
• The cube root of 40628103746313825 is 343775.9711403173

Scales and comparisons

• 40,628,103,746,313,825 seconds is equal to 1,291,848,028 years, 8 weeks, 1 day, 3 minutes, 45 seconds.
• To count from 1 to 40,628,103,746,313,825 would take you about three billion, eight hundred seventy-five million, five hundred forty-four thousand and eighty-four 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 40628103746313825 cubic inches would be around 28648 feet tall.

Recreational maths with 40628103746313825

• 40628103746313825 backwards is 52831364730182604
• 40628103746313825 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40628103746313825's digits is 63
• More coming soon!