45420973088122128

Names of 45420973088122128

• Cardinal: 45420973088122128 can be written as Forty-five quadrillion, four hundred twenty trillion, nine hundred seventy-three billion, eighty-eight million, one hundred twenty-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.5420973088122128 × 10¹⁶

Factors of 45420973088122128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 273110

Divisors of 45420973088122128

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 343 392 444 518 588 592 686 777 784 888 1029 1036 1176 1372 1554 1776 1813 2058 2072 2352 2744 3108 3626 4116 4144 5439 5488 6216 7252 8232 10878 12432 12691 14504 16464 21756 25382 29008 38073 43512 50764 76146 87024 101528 152292 203056 273061 304584 546122 609168 819183 1092244 1638366 1911427 2184488 3276732 3822854 4368976 5734281 6553464 7645708 10103257 11468562 13106928 13379989 15291416 20206514 22937124 26759978 30309771 30582832 40139967 40413028 45874248 53519956 60619542 70722799 80279934 80826056 91748496 93659923 107039912 121239084 141445598 160559868 161652112 187319846 212168397 214079824 242478168 280979769 282891196 321119736 374639692 424336794 484956336 495059593 561959538 565782392 642239472 749279384 848673588 990119186 1123919076 1131564784 1485178779 1498558768 1697347176 1980238372 2247838152 2970357558 3394694352 3465417151 3960476744 4495676304 5940715116 6930834302 7920953488 10396251453 11881430232 13861668604 20792502906 23762860464 27723337208 41585005812 55446674416 74562309721 83170011624 149124619442 166340023248 223686929163 298249238884 447373858326 521936168047 596498477768 894747716652 1043872336094 1192996955536 1565808504141 1789495433304 2087744672188 2758805459677 3131617008282 3578990866608 3653553176329 4175489344376 5517610919354 6263234016564 7307106352658 8276416379031 8350978688752 10960659528987 11035221838708 12526468033128 14614212705316 16552832758062 19311638217739 21921319057974 22070443677416 25052936066256 25574872234303 29228425410632 33105665516124 38623276435478 43842638115948 44140887354832 51149744468606 57934914653217 58456850821264 66211331032248 76724616702909 77246552870956 87685276231896 102299488937212 115869829306434 132422662064496 135181467524173 153449233405818 154493105741912 175370552463792 204598977874424 231739658612868 270362935048346 306898466811636 308986211483824 405544402572519 409197955748848 463479317225736 540725870096692 613796933623272 811088805145038 926958634451472 946270272669211 1081451740193384 1227593867246544 1622177610290076 1892540545338422 2162903480386768 2838810818007633 3244355220580152 3785081090676844 5677621636015266 6488710441160304 7570162181353688 11355243272030532 15140324362707376 22710486544061064 45420973088122128
• Sum of all divisors σ(n): 140535556029398400
• Sum of proper divisors (its aliquot sum) s(n): 95114582941276272
• 45420973088122128 is an abundant number, because the sum of its proper divisors (95114582941276272) is greater than itself. Its abundance is 49693609853154144

Bases of 45420973088122128

• Binary: 10100001010111100010001001100110010001010010010100010000₂
• Hexadecimal: 0xA15E2266452510
• Base-36: CF8E2Z5W8PC

Squares and roots of 45420973088122128

• 45420973088122128 squared (45420973088122128²) is 2063064796271914600946597443248384
• 45420973088122128 cubed (45420973088122128³) is 93706410590518793797268758181338863016038830641152
• The square root of 45420973088122128 is 213121967.6338460609
• The cube root of 45420973088122128 is 356795.0424787113

Scales and comparisons

• 45,420,973,088,122,128 seconds is equal to 1,444,246,447 years, 47 weeks, 1 day, 10 hours, 48 minutes, 48 seconds.
• To count from 1 to 45,420,973,088,122,128 would take you about four billion, three hundred thirty-two million, seven hundred thirty-nine thousand, three hundred forty-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 45420973088122128 cubic inches would be around 29732.9 feet tall.

Recreational maths with 45420973088122128

• 45420973088122128 backwards is 82122188037902454
• The number of decimal digits it has is: 17
• The sum of 45420973088122128's digits is 66
• More coming soon!