146478619985947964

Names of 146478619985947964

• Cardinal: 146478619985947964 can be written as One hundred forty-six quadrillion, four hundred seventy-eight trillion, six hundred nineteen billion, nine hundred eighty-five million, nine hundred forty-seven thousand, nine hundred sixty-four.

Scientific notation

• Scientific notation: 1.46478619985947964 × 10¹⁷

Factors of 146478619985947964

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 40848

Divisors of 146478619985947964

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 4 11 13 22 26 44 52 83 121 143 166 169 242 286 332 338 484 572 676 913 1079 1573 1826 1859 2158 2197 3146 3652 3718 4316 4394 6292 7436 8788 10043 11869 14027 20086 20449 23738 24167 28054 40172 40739 40898 47476 48334 56108 81478 81796 96668 130559 154297 162956 182351 261118 265837 308594 364702 448129 522236 529607 531674 617188 729404 896258 1059214 1063348 1697267 1792516 2005861 2118428 3381337 3394534 4011722 4929419 5825677 6762674 6789068 6884891 8023444 9858838 11651354 13525348 13769782 19717676 22064471 23302708 27539564 37194707 43957381 44128942 64082447 74389414 75733801 87914762 88257884 89503583 128164894 148778828 151467602 175829524 179007166 256329788 302935204 358014332 409141777 483531191 571445953 818283554 833071811 967062382 984539413 1142891906 1636567108 1659666121 1666143622 1934124764 1969078826 2285783812 3319332242 3332287244 3938157652 5318843101 6285905483 6638664484 7428797389 10637686202 10829933543 12571810966 14857594778 18256327331 21275372404 21575659573 21659867086 25143621932 29715189556 36512654662 43151319146 43319734172 69144960313 73025309324 81716771279 86302638292 137752288043 138289920626 163433542558 200819600641 237332255303 275504576086 276579841252 280483574449 326867085116 401639201282 474664510606 551009152172 560967148898 803278402564 898884484069 949329021212 1121934297796 1515275168473 1790779744559 1797768968138 2610654808333 3030550336946 3085319318939 3581559489118 3595537936276 3646286467837 5221309616666 6061100673892 6170638637878 7163118978236 7292572935674 10442619233332 12341277275756 14585145871348 16668026853203 19698577190149 23280136679267 33336053706406 33938512508329 39397154380298 40109151146207 46560273358534 66672107412812 67877025016658 78794308760596 80218302292414 93120546717068 135754050033316 160436604584828 216684349091639 256081503471937 302641776830471 433368698183278 441200662608277 512163006943874 605283553660942 866737396366556 882401325216554 1024326013887748 1210567107321884 1764802650433108 2816896538191307 3329059545135181 5633793076382614 6658119090270362 11267586152765228 13316238180540724 36619654996486991 73239309992973982 146478619985947964
• Sum of all divisors σ(n): 308913802551192720
• Sum of proper divisors (its aliquot sum) s(n): 162435182565244756
• 146478619985947964 is an abundant number, because the sum of its proper divisors (162435182565244756) is greater than itself. Its abundance is 15956562579296792

Bases of 146478619985947964

• Binary: 1000001000011001011000011101011111011100111010110100111100₂
• Hexadecimal: 0x20865875F73AD3C
• Base-36: 142AC51XQN98

Squares and roots of 146478619985947964

• 146478619985947964 squared (146478619985947964²) is 21455986112987754317256819715745296
• 146478619985947964 cubed (146478619985947964³) is 3142843236268110040015617146325914977680357333777344
• The square root of 146478619985947964 is 382725253.9171513359
• The cube root of 146478619985947964 is 527138.5123036781

Scales and comparisons

• 146,478,619,985,947,964 seconds is equal to 4,657,567,027 years, 22 weeks, 3 days, 12 hours, 12 minutes, 44 seconds.
• To count from 1 to 146,478,619,985,947,964 would take you about thirteen billion, nine hundred seventy-two million, seven hundred one thousand and eighty-two 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 146478619985947964 cubic inches would be around 43928.2 feet tall.

Recreational maths with 146478619985947964

• 146478619985947964 backwards is 469749589916874641
• The number of decimal digits it has is: 18
• The sum of 146478619985947964's digits is 107
• More coming soon!