48153742688126592

Names of 48153742688126592

• Cardinal: 48153742688126592 can be written as Forty-eight quadrillion, one hundred fifty-three trillion, seven hundred forty-two billion, six hundred eighty-eight million, one hundred twenty-six thousand, five hundred ninety-two.

Scientific notation

• Scientific notation: 4.8153742688126592 × 10¹⁶

Factors of 48153742688126592

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 87303728

Divisors of 48153742688126592

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 121 128 132 144 176 192 198 216 242 264 288 297 352 363 384 396 432 484 528 576 594 704 726 792 864 968 1056 1089 1152 1188 1319 1408 1452 1584 1728 1936 2112 2178 2376 2638 2904 3168 3267 3456 3872 3957 4224 4356 4752 5276 5808 6336 6534 7744 7914 8712 9504 10552 11616 11871 12672 13068 14509 15488 15828 17424 19008 21104 23232 23742 26136 29018 31656 34848 35613 38016 42208 43527 46464 47484 52272 58036 63312 69696 71226 84416 87054 94968 104544 116072 126624 130581 139392 142452 159599 168832 174108 189936 209088 232144 253248 261162 284904 319198 348216 379872 391743 418176 464288 478797 506496 522324 569808 638396 696432 759744 783486 928576 957594 1044648 1139616 1276792 1392864 1436391 1519488 1566972 1857152 1915188 2089296 2279232 2553584 2785728 2872782 3133944 3830376 4178592 4309173 4558464 5107168 5571456 5745564 6267888 7660752 8357184 8618346 10214336 11491128 12535776 15321504 16714368 17236692 20428672 22982256 25071552 30643008 34473384 45964512 50143104 61286016 68946768 87302393 91929024 137893536 174604786 183858048 261907179 275787072 349209572 523814358 551574144 698419144 785721537 960326323 1047628716 1396838288 1571443074 1920652646 2095257432 2357164611 2793676576 2880978969 3142886148 3841305292 4190514864 4714329222 5587353152 5761957938 6285772296 7682610584 8381029728 8642936907 9428658444 10563589553 11174706304 11523915876 12571544592 15365221168 16762059456 17285873814 18857316888 21127179106 23047831752 25143089184 25928810721 30730442336 31690768659 33524118912 34571747628 37714633776 42254358212 46095663504 50286178368 51857621442 61460884672 63381537318 69143495256 75429267552 84508716424 92191327008 95072305977 100572356736 103715242884 115151856367 122921769344 126763074636 138286990512 150858535104 169017432848 184382654016 190144611954 207430485768 230303712734 253526149272 276573981024 285216917931 301717070208 338034865696 345455569101 368765308032 380289223908 414860971536 460607425468 507052298544 553147962048 570433835862 676069731392 690911138202 760578447816 829721943072 921214850936 1014104597088 1036366707303 1106295924096 1140867671724 1266670420037 1352139462784 1381822276404 1521156895632 1659443886144 1842429701872 2028209194176 2072733414606 2281735343448 2533340840074 2763644552808 3042313791264 3109100121909 3318887772288 3684859403744 3800011260111 4056418388352 4145466829212 4563470686896 5066681680148 5527289105616 6084627582528 6218200243818 7369718807488 7600022520222 8290933658424 9126941373792 10133363360296 11054578211232 11400033780333 12169255165056 12436400487636 13933374620407 14739437614976 15200045040444 16581867316848 18253882747584 20266726720592 22109156422464 22800067560666 24872800975272 27866749240814 30400090080888 33163734633696 34200101340999 36507765495168 40533453441184 41800123861221 44218312844928 45600135121332 49745601950544 55733498481628 60800180161776 66327469267392 68400202681998 81066906882368 83600247722442 91200270242664 99491203901088 111466996963256 121600360323552 125400371583663 132654938534784 136800405363996 162133813764736 167200495444884 182400540485328 198982407802176 222933993926512 243200720647104 250800743167326 273600810727992 334400990889768 364801080970656 376201114750989 397964815604352 445867987853024 486401441294208 501601486334652 547201621455984 668801981779536 729602161941312 752402229501978 891735975706048 1003202972669304 1094403242911968 1337603963559072 1459204323882624 1504804459003956 1783471951412096 2006405945338608 2188806485823936 2675207927118144 3009608918007912 4012811890677216 4377612971647872 5350415854236288 6019217836015824 8025623781354432 12038435672031648 16051247562708864 24076871344063296 48153742688126592
• Sum of all divisors σ(n): 156333444564528000
• Sum of proper divisors (its aliquot sum) s(n): 108179701876401408
• 48153742688126592 is an abundant number, because the sum of its proper divisors (108179701876401408) is greater than itself. Its abundance is 60025959188274816

Bases of 48153742688126592

• Binary: 10101011000100111001001011100111100010000000011010000000₂
• Hexadecimal: 0xAB1392E7880680
• Base-36: D652RZZPUO0

Squares and roots of 48153742688126592

• 48153742688126592 squared (48153742688126592²) is 2318782934874305222532734617534464
• 48153742688126592 cubed (48153742688126592³) is 111658076795556294677907490476475536368702154866688
• The square root of 48153742688126592 is 219439610.5723089183
• The cube root of 48153742688126592 is 363811.7175439055

Scales and comparisons

• 48,153,742,688,126,592 seconds is equal to 1,531,140,068 years, 9 weeks, 1 day, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 48,153,742,688,126,592 would take you about four billion, five hundred ninety-three million, four hundred twenty thousand, two hundred four 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 48153742688126592 cubic inches would be around 30317.6 feet tall.

Recreational maths with 48153742688126592

• 48153742688126592 backwards is 29562188624735184
• The number of decimal digits it has is: 17
• The sum of 48153742688126592's digits is 81
• More coming soon!