13461328189458432

Names of 13461328189458432

• Cardinal: 13461328189458432 can be written as Thirteen quadrillion, four hundred sixty-one trillion, three hundred twenty-eight billion, one hundred eighty-nine million, four hundred fifty-eight thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.3461328189458432 × 10¹⁶

Factors of 13461328189458432

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3536228

Divisors of 13461328189458432

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1024 1143 1152 1524 1536 1627 2032 2048 2286 2304 3048 3072 3254 4064 4572 4608 4881 6096 6144 6508 8128 9144 9216 9762 12192 13016 14643 16256 18288 18432 19524 24384 26032 29286 32512 36576 39048 48768 52064 58572 65024 73152 78096 97536 104128 117144 130048 146304 156192 195072 206629 208256 234288 260096 292608 312384 390144 413258 416512 468576 585216 619887 624768 780288 826516 833024 937152 1170432 1239774 1249536 1653032 1666048 1859661 1874304 2340864 2479548 2499072 3306064 3332096 3534469 3719322 3748608 4959096 4998144 6612128 7068938 7438644 7497216 9918192 9996288 10603407 13224256 14137876 14877288 14994432 19836384 21206814 26448512 28275752 29754576 29988864 31810221 39672768 42413628 52897024 56551504 59509152 63620442 79345536 84827256 105794048 113103008 119018304 127240884 158691072 169654512 211588096 226206016 238036608 254481768 317382144 339309024 423176192 448877563 452412032 476073216 508963536 634764288 678618048 897755126 904824064 952146432 1017927072 1269528576 1346632689 1357236096 1795510252 1809648128 1904292864 2035854144 2693265378 2714472192 3591020504 3619296256 3808585728 4039898067 4071708288 5386530756 5428944384 5750581063 7182041008 7238592512 8079796134 8143416576 10773061512 10857888768 11501162126 14364082016 16159592268 16286833152 17251743189 21546123024 21715777536 23002324252 28728164032 32319184536 32573666304 34503486378 43092246048 46004648504 51755229567 57456328064 64638369072 65147332608 69006972756 86184492096 92009297008 103510459134 114912656128 129276738144 138013945512 172368984192 184018594016 207020918268 229825312256 258553476288 276027891024 344737968384 368037188032 414041836536 459650624512 517106952576 552055782048 689475936768 730323795001 736074376064 828083673072 919301249024 1034213905152 1104111564096 1378951873536 1460647590002 1472148752128 1656167346144 2068427810304 2190971385003 2208223128192 2757903747072 2921295180004 2944297504256 3312334692288 4136855620608 4381942770006 4416446256384 5842590360008 5888595008512 6572914155009 6624669384576 8273711241216 8763885540012 8832892512768 11685180720016 11777190017024 13145828310018 13249338769152 17527771080024 17665785025536 23370361440032 26291656620036 26498677538304 35055542160048 35331570051072 46740722880064 52583313240072 52997355076608 70111084320096 93481445760128 105166626480144 105994710153216 140222168640192 186962891520256 210333252960288 280444337280384 373925783040512 420666505920576 560888674560768 747851566081024 841333011841152 1121777349121536 1495703132162048 1682666023682304 2243554698243072 3365332047364608 4487109396486144 6730664094729216 13461328189458432
• Sum of all divisors σ(n): 39209014657612800
• Sum of proper divisors (its aliquot sum) s(n): 25747686468154368
• 13461328189458432 is an abundant number, because the sum of its proper divisors (25747686468154368) is greater than itself. Its abundance is 12286358278695936

Bases of 13461328189458432

• Binary: 101111110100110000000110110100111100000000100000000000₂
• Hexadecimal: 0x2FD301B4F00800
• Base-36: 3OJN4SQT4W0

Squares and roots of 13461328189458432

• 13461328189458432 squared (13461328189458432²) is 181207356624308226929889455898624
• 13461328189458432 cubed (13461328189458432³) is 2439291697864047468707924728429942660558453997568
• The square root of 13461328189458432 is 116022964.0608204423
• The cube root of 13461328189458432 is 237882.5785996677

Scales and comparisons

• 13,461,328,189,458,432 seconds is equal to 428,028,597 years, 41 weeks, 5 days, 5 hours, 7 minutes, 12 seconds.
• To count from 1 to 13,461,328,189,458,432 would take you about one billion, two hundred eighty-four million, eighty-five thousand, seven hundred ninety-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 13461328189458432 cubic inches would be around 19823.5 feet tall.

Recreational maths with 13461328189458432

• 13461328189458432 backwards is 23485498182316431
• 13461328189458432 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13461328189458432's digits is 72
• More coming soon!