45838944028160064

Names of 45838944028160064

• Cardinal: 45838944028160064 can be written as Forty-five quadrillion, eight hundred thirty-eight trillion, nine hundred forty-four billion, twenty-eight million, one hundred sixty thousand and sixty-four.

Scientific notation

• Scientific notation: 4.5838944028160064 × 10¹⁶

Factors of 45838944028160064

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 46915283

Divisors of 45838944028160064

• Number of divisors d(n): 140
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 189239 378478 567717 756956 1135434 1513912 1703151 2270868 3027824 3406302 4541736 5109453 6055648 6812604 9083472 10218906 12111296 13625208 15328359 18166944 20437812 27250416 30656718 36333888 40875624 46726039 54500832 61313436 81751248 93452078 109001664 122626872 140178117 163502496 186904156 245253744 280356234 327004992 373808312 420534351 490507488 560712468 747616624 841068702 981014976 1121424936 1261603053 1495233248 1682137404 2242849872 2523206106 2990466496 3364274808 3784809159 4485699744 5046412212 6728549616 7569618318 8971399488 10092824424 13457099232 15139236636 20185648848 26914198464 30278473272 40371297696 60556946544 80742595392 121113893088 242227786176 8842388894321 17684777788642 26527166682963 35369555577284 53054333365926 70739111154568 79581500048889 106108666731852 141478222309136 159163000097778 212217333463704 238744500146667 282956444618272 318326000195556 424434666927408 477489000293334 565912889236544 636652000391112 716233500440001 848869333854816 954978000586668 1273304000782224 1432467000880002 1697738667709632 1909956001173336 2546608001564448 2864934001760004 3819912002346672 5093216003128896 5729868003520008 7639824004693344 11459736007040016 15279648009386688 22919472014080032 45838944028160064
• Sum of all divisors σ(n): 135881711086123200
• Sum of proper divisors (its aliquot sum) s(n): 90042767057963136
• 45838944028160064 is an abundant number, because the sum of its proper divisors (90042767057963136) is greater than itself. Its abundance is 44203823029803072

Bases of 45838944028160064

• Binary: 10100010110110100100011011010111101011010111000001000000₂
• Hexadecimal: 0xA2DA46D7AD7040
• Base-36: CJCJS6BWK00

Squares and roots of 45838944028160064

• 45838944028160064 squared (45838944028160064²) is 2101208789616791194257821204484096
• 45838944028160064 cubed (45838944028160064³) is 96317192098722047006248763259295703053453230342144
• The square root of 45838944028160064 is 214100313.0034145091
• The cube root of 45838944028160064 is 357886.1305407655

Scales and comparisons

• 45,838,944,028,160,064 seconds is equal to 1,457,536,630 years, 48 weeks, 3 days, 6 hours, 14 minutes, 24 seconds.
• To count from 1 to 45,838,944,028,160,064 would take you about four billion, three hundred seventy-two million, six hundred nine thousand, eight hundred ninety-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 45838944028160064 cubic inches would be around 29823.8 feet tall.

Recreational maths with 45838944028160064

• 45838944028160064 backwards is 46006182044983854
• 45838944028160064 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 45838944028160064's digits is 72
• More coming soon!