40425984144

Names of 40425984144

• Cardinal: 40425984144 can be written as Forty billion, four hundred twenty-five million, nine hundred eighty-four thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.0425984144 × 10¹⁰

Factors of 40425984144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 18085

Divisors of 40425984144

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 36 38 39 42 48 52 54 56 57 63 72 76 78 81 84 91 104 108 112 114 117 126 133 144 152 156 162 168 171 182 189 208 216 228 234 247 252 266 273 304 312 324 336 342 351 364 378 399 432 456 468 494 504 513 532 546 567 624 648 684 702 728 741 756 798 819 912 936 988 1008 1026 1053 1064 1092 1134 1197 1296 1368 1404 1456 1482 1512 1539 1596 1638 1729 1872 1976 2052 2106 2128 2184 2223 2268 2394 2457 2736 2808 2964 3024 3078 3192 3276 3458 3591 3952 4104 4212 4368 4446 4536 4788 4914 5187 5616 5928 6156 6384 6552 6669 6916 7182 7371 8208 8424 8892 9072 9576 9828 10374 10773 11856 12312 13104 13338 13832 14364 14742 15561 16848 17784 18041 19152 19656 20007 20748 21546 24624 26676 27664 28728 29484 31122 35568 36082 39312 40014 41496 43092 46683 53352 54123 57456 58968 62244 72164 80028 82992 86184 93366 106704 108246 117936 124488 126287 140049 144328 160056 162369 172368 186732 216492 234533 248976 252574 280098 288656 320112 324738 342779 373464 378861 432984 469066 487107 505148 560196 649476 685558 703599 746928 757722 865968 938132 974214 1010296 1028337 1120392 1136583 1298952 1371116 1407198 1461321 1515444 1641731 1876264 1948428 2020592 2056674 2110797 2240784 2273166 2399453 2597904 2742232 2814396 2922642 3030888 3085011 3283462 3409749 3752528 3896856 4113348 4221594 4456127 4546332 4798906 4925193 5484464 5628792 5845284 6061776 6170022 6332391 6566924 6819498 7198359 7793712 8226696 8443188 8912254 9092664 9255033 9597812 9850386 10229247 11257584 11690568 12340044 12664782 13133848 13368381 13638996 14396718 14775579 16453392 16886376 17824508 18185328 18510066 18997173 19195624 19700772 20458494 21595077 23381136 24680088 25329564 26267696 26736762 27277992 27765099 28793436 29551158 31192889 33772752 35649016 37020132 37994346 38391248 39401544 40105143 40916988 43190154 44326737 49360176 50659128 53473524 54555984 55530198 57586872 59102316 62385778 64785231 71298032 74040264 75988692 78803088 80210286 81833976 86380308 88653474 93578667 101318256 106947048 111060396 115173744 118204632 120315429 124771556 129570462 132980211 148080528 151977384 160420572 163667952 172760616 177306948 187157334 194355693 213894096 222120792 236409264 240630858 249543112 259140924 265960422 280736001 303954768 320841144 345521232 354613896 360946287 374314668 388711386 444241584 481261716 499086224 518281848 531920844 561472002 641682288 709227792 721892574 748629336 777422772 842208003 962523432 1036563696 1063841688 1122944004 1443785148 1497258672 1554845544 1684416006 1925046864 2127683376 2245888008 2526624009 2887570296 3109691088 3368832012 4491776016 5053248018 5775140592 6737664024 10106496036 13475328048 20212992072 40425984144
• Sum of all divisors σ(n): 151593214080
• Sum of proper divisors (its aliquot sum) s(n): 111167229936
• 40425984144 is an abundant number, because the sum of its proper divisors (111167229936) is greater than itself. Its abundance is 70741245792

Bases of 40425984144

• Binary: 100101101001100100111001000010010000₂
• Hexadecimal: 0x969939090
• Base-36: IKKL500

Squares and roots of 40425984144

• 40425984144 squared (40425984144²) is 1634260194010939412736
• 40425984144 cubed (40425984144³) is 66066576690256600461810207657984
• The square root of 40425984144 is 201062.1400065163
• The cube root of 40425984144 is 3432.0494271329

Scales and comparisons

• 40,425,984,144 seconds is equal to 1,285 years, 21 weeks, 6 days, 8 hours, 2 minutes, 24 seconds.
• To count from 1 to 40,425,984,144 would take you about two thousand, five hundred seventy 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 40425984144 cubic inches would be around 286 feet tall.

Recreational maths with 40425984144

• 40425984144 backwards is 44148952404
• The number of decimal digits it has is: 11
• The sum of 40425984144's digits is 45
• More coming soon!