45200422201103820

Names of 45200422201103820

• Cardinal: 45200422201103820 can be written as Forty-five quadrillion, two hundred trillion, four hundred twenty-two billion, two hundred one million, one hundred three thousand, eight hundred twenty.

Scientific notation

• Scientific notation: 4.520042220110382 × 10¹⁶

Factors of 45200422201103820

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 129396600

Divisors of 45200422201103820

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 14593 23940 29186 43779 58372 72965 87558 102151 131337 145930 175116 204302 218895 262674 277267 291860 306453 408604 437790 510755 525348 554534 612906 656685 831801 875580 919359 1021510 1109068 1225812 1313370 1386335 1532265 1663602 1838718 1940869 2043020 2495403 2626740 2772670 3064530 3327204 3677436 3881738 4159005 4596795 4990806 5545340 5822607 6129060 7763476 8318010 9193590 9704345 9981612 11645214 12477015 16636020 17467821 18387180 19408690 23290428 24954030 29113035 34935642 38817380 49908060 58226070 69871284 87339105 116452140 129381971 174678210 258763942 349356420 388145913 517527884 646909855 776291826 905673797 1164437739 1293819710 1552583652 1811347594 1940729565 2328875478 2458257449 2587639420 2717021391 3622695188 3881459130 4528368985 4657750956 4916514898 5434042782 5822188695 7374772347 7762918260 8151064173 9056737970 9833029796 10868085564 11644377390 12291287245 13585106955 14749544694 16302128346 17207802143 18113475940 22124317041 23288754780 24582574490 27170213910 29499089388 32604256692 34415604286 36873861735 40755320865 44248634082 49165148980 51623406429 54340427820 68831208572 73747723470 81510641730 86039010715 88497268164 103246812858 110621585205 147495446940 154870219287 163021283460 172078021430 206493625716 221243170410 258117032145 309740438574 344156042860 442486340820 516234064290 619480877148 774351096435 1032468128580 1548702192870 1888071102803 3097404385740 3776142205606 5664213308409 7552284411212 9440355514015 11328426616818 13216497719621 16992639925227 18880711028030 22656853233636 26432995439242 28321066542045 33985279850454 35873350953257 37761422056060 39649493158863 52865990878484 56642133084090 66082488598105 67970559700908 71746701906514 79298986317726 84963199626135 107620052859771 113284266168180 118948479476589 132164977196210 143493403813028 158597972635452 169926399252270 179366754766285 198247465794315 215240105719542 237896958953178 251113456672799 264329954392420 322860158579313 339852798504540 358733509532570 396494931588630 430480211439084 475793917906356 502226913345598 538100264298855 594742397382945 645720317158626 717467019065140 753340370018397 792989863177260 1004453826691196 1076200528597710 1189484794765890 1255567283363995 1291440634317252 1506680740036794 1614300792896565 2152401057195420 2260021110055191 2378969589531780 2511134566727990 3013361480073588 3228601585793130 3766701850091985 4520042220110382 5022269133455980 6457203171586260 7533403700183970 9040084440220764 11300105550275955 15066807400367940 22600211100551910 45200422201103820
• Sum of all divisors σ(n): 164953195624788480
• Sum of proper divisors (its aliquot sum) s(n): 119752773423684660
• 45200422201103820 is an abundant number, because the sum of its proper divisors (119752773423684660) is greater than itself. Its abundance is 74552351222580840

Bases of 45200422201103820

• Binary: 10100000100101011000101101100100111111101001010111001100₂
• Hexadecimal: 0xA0958B64FE95CC
• Base-36: CD27NAQ7X70

Squares and roots of 45200422201103820

• 45200422201103820 squared (45200422201103820²) is 2043078167158039100066826418592400
• 45200422201103820 cubed (45200422201103820³) is 92347995745400731989600989053926174048650662968000
• The square root of 45200422201103820 is 212603909.1858468627
• The cube root of 45200422201103820 is 356216.6079657379

Scales and comparisons

• 45,200,422,201,103,820 seconds is equal to 1,437,233,611 years, 47 weeks, 1 day, 23 hours, 57 minutes.
• To count from 1 to 45,200,422,201,103,820 would take you about four billion, three hundred eleven million, seven hundred thousand, eight hundred thirty-five 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 45200422201103820 cubic inches would be around 29684.7 feet tall.

Recreational maths with 45200422201103820

• 45200422201103820 backwards is 02830110222400254
• 45200422201103820 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 45200422201103820's digits is 36
• More coming soon!