47426440640223232

Names of 47426440640223232

• Cardinal: 47426440640223232 can be written as Forty-seven quadrillion, four hundred twenty-six trillion, four hundred forty billion, six hundred forty million, two hundred twenty-three thousand, two hundred thirty-two.

Scientific notation

• Scientific notation: 4.7426440640223232 × 10¹⁶

Factors of 47426440640223232

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 771

Divisors of 47426440640223232

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 256 436 448 512 653 763 872 896 1024 1306 1526 1744 1792 2048 2612 3052 3488 3584 4571 5224 6104 6976 7168 9142 10448 11881 12208 13952 14336 18284 20896 23762 24416 27904 36568 41792 47524 48832 55808 71177 73136 83167 83584 95048 97664 111616 142354 146272 166334 167168 190096 195328 223232 284708 292544 332668 334336 380192 390656 426409 498239 569416 585088 665336 668672 760384 781312 852818 996478 1138832 1170176 1330672 1337344 1520768 1562624 1705636 1992956 2277664 2340352 2661344 2984863 3041536 3411272 3985912 4555328 4680704 5322688 5969726 6083072 6822544 7758293 7971824 9110656 9361408 10645376 11939452 12166144 13645088 15516586 15943648 18221312 21290752 23878904 24332288 27290176 31033172 31887296 36442624 42581504 46478581 47757808 54308051 54580352 62066344 63774592 72885248 85163008 92957162 95515616 108616102 109160704 124132688 127549184 145770496 170326016 185914324 191031232 217232204 218321408 248265376 255098368 278445077 325350067 371828648 382062464 434464408 436642816 496530752 510196736 556890154 650700134 743657296 764124928 868928816 873285632 993061504 1020393472 1113780308 1301400268 1487314592 1528249856 1737857632 1949115539 1986123008 2227560616 2602800536 2974629184 3056499712 3475715264 3898231078 3972246016 4455121232 5066165329 5205601072 5949258368 6112999424 6951430528 7796462156 7944492032 8910242464 10132330658 10411202144 11898516736 13902861056 15592924312 15888984064 17820484928 20264661316 20822404288 23797033472 27805722112 30350513393 31185848624 35463157303 35640969856 40529322632 41644808576 47594066944 55611444224 60701026786 62371697248 70926314606 71281939712 81058645264 83289617152 95188133888 111222888448 121402053572 124743394496 141852629212 142563879424 162117290528 166579234304 212453593751 242804107144 249486788992 283705258424 285127758848 324234581056 333158468608 424907187502 485608214288 498973577984 567410516848 570255517696 648469162112 666316937216 849814375004 971216428576 997947155968 1134821033696 1296938324224 1699628750008 1942432857152 1995894311936 2269642067392 2593876648448 3308205959837 3399257500016 3884865714304 3991788623872 4539284134784 5187753296896 6616411919674 6798515000032 7769731428608 9078568269568 10375506593792 13232823839348 13597030000064 15539462857216 18157136539136 23157441718859 26465647678696 27194060000128 31078925714432 36314273078272 46314883437718 52931295357392 54388120000256 62157851428864 72628546156544 92629766875436 105862590714784 108776240000512 185259533750872 211725181429568 217552480001024 370519067501744 423450362859136 435104960002048 741038135003488 846900725718272 1482076270006976 1693801451436544 2964152540013952 3387602902873088 5928305080027904 6775205805746176 11856610160055808 23713220320111616 47426440640223232
• Sum of all divisors σ(n): 109547993015042400
• Sum of proper divisors (its aliquot sum) s(n): 62121552374819168
• 47426440640223232 is an abundant number, because the sum of its proper divisors (62121552374819168) is greater than itself. Its abundance is 14695111734595936

Bases of 47426440640223232

• Binary: 10101000011111100001100010110011010100100101100000000000₂
• Hexadecimal: 0xA87E18B3525800
• Base-36: CYZ9Q1US1DS

Squares and roots of 47426440640223232

• 47426440640223232 squared (47426440640223232²) is 2249267271800617807993946792525824
• 47426440640223232 cubed (47426440640223232³) is 106674740750048854817770430549558492333476484743168
• The square root of 47426440640223232 is 217776125.0463953681
• The cube root of 47426440640223232 is 361970.7775323699

Scales and comparisons

• 47,426,440,640,223,232 seconds is equal to 1,508,014,112 years, 38 weeks, 5 days, 14 hours, 53 minutes, 52 seconds.
• To count from 1 to 47,426,440,640,223,232 would take you about four billion, five hundred twenty-four million, forty-two thousand, three hundred thirty-eight 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 47426440640223232 cubic inches would be around 30164.2 feet tall.

Recreational maths with 47426440640223232

• 47426440640223232 backwards is 23232204604462474
• The number of decimal digits it has is: 17
• The sum of 47426440640223232's digits is 55
• More coming soon!