148737306656018432

Names of 148737306656018432

• Cardinal: 148737306656018432 can be written as One hundred forty-eight quadrillion, seven hundred thirty-seven trillion, three hundred six billion, six hundred fifty-six million, eighteen thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.48737306656018432 × 10¹⁷

Factors of 148737306656018432

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 3393

Divisors of 148737306656018432

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 256 268 352 512 536 704 737 1024 1072 1408 1474 2048 2144 2816 2948 3313 4096 4288 4489 5632 5896 6626 8576 8978 11264 11792 13252 17152 17956 22528 23584 26504 34304 35912 36443 45056 47168 49379 53008 68608 71824 72886 94336 98758 106016 137216 143648 145772 188672 197516 212032 221971 274432 287296 291544 300763 377344 395032 424064 443942 574592 583088 601526 754688 790064 848128 887884 1149184 1166176 1203052 1509376 1580128 1696256 1775768 2298368 2332352 2406104 2441681 3018752 3160256 3308393 3392512 3551536 4596736 4664704 4812208 4883362 6320512 6616786 6785024 7103072 9193472 9329408 9624416 9766724 10975969 12641024 13233572 13570048 14206144 14872057 18386944 18658816 19248832 19533448 21951938 25282048 26467144 28412288 29744114 37317632 38497664 39066896 43903876 50564096 52934288 56824576 59488228 74635264 76995328 78133792 87807752 101128192 105868576 113649152 118976456 120735659 149270528 153990656 156267584 163592627 175615504 202256384 211737152 227298304 237952912 241471318 307981312 312535168 327185254 351231008 423474304 454596608 475905824 482942636 615962624 625070336 654370508 702462016 735389923 846948608 909193216 951811648 965885272 996427819 1231925248 1250140672 1308741016 1404924032 1470779846 1693897216 1903623296 1931770544 1992855638 2500281344 2617482032 2809848064 2941559692 3387794432 3807246592 3863541088 3985711276 5000562688 5234964064 5619696128 5883119384 6775588864 7614493184 7727082176 7971422552 8089289153 10001125376 10469928128 10960706009 11239392256 11766238768 13551177728 15228986368 15454164352 15942845104 16178578306 20939856256 21921412018 22478784512 23532477536 30457972736 30908328704 31885690208 32357156612 41879712512 43842824036 44957569024 47064955072 49271124841 60915945472 61816657408 63771380416 64714313224 83759425024 87685648072 94129910144 98542249682 123633314816 127542760832 129428626448 167518850048 175371296144 188259820288 197084499364 247266629632 255085521664 258857252896 335037700096 350742592288 376519640576 394168998728 494533259264 510171043328 517714505792 541982373251 670075400192 701485184576 753039281152 788337997456 1020342086656 1035429011584 1083964746502 1402970369152 1506078562304 1576675994912 2040684173312 2070858023168 2167929493004 2805940738304 3012157124608 3153351989824 3301165364347 4081368346624 4141716046336 4335858986008 5611881476608 6306703979648 6602330728694 8283432092672 8671717972016 11223762953216 12613407959296 13204661457388 16566864185344 17343435944032 22447525906432 25226815918592 26409322914776 33133728370688 34686871888064 36312819007817 44895051812864 50453631837184 52818645829552 69373743776128 72625638015634 100907263674368 105637291659104 138747487552256 145251276031268 201814527348736 211274583318208 277494975104512 290502552062536 422549166636416 554989950209024 581005104125072 845098333272832 1109979900418048 1162010208250144 1690196666545664 2219959800836096 2324020416500288 3380393333091328 4648040833000576 6760786666182656 9296081666001152 13521573332365312 18592163332002304 37184326664004608 74368653328009216 148737306656018432
• Sum of all divisors σ(n): 329493920033063520
• Sum of proper divisors (its aliquot sum) s(n): 180756613377045088
• 148737306656018432 is an abundant number, because the sum of its proper divisors (180756613377045088) is greater than itself. Its abundance is 32019306721026656

Bases of 148737306656018432

• Binary: 1000010000011010111100101011011000000101001001000000000000₂
• Hexadecimal: 0x2106BCAD8149000
• Base-36: 14OIZ3DVJDVK

Squares and roots of 148737306656018432

• 148737306656018432 squared (148737306656018432²) is 22122786391286464954408567123738624
• 148737306656018432 cubed (148737306656018432³) is 3290483663566366311464828299519111273788706094317568
• The square root of 148737306656018432 is 385664759.4168002693
• The cube root of 148737306656018432 is 529834.1793534637

Scales and comparisons

• 148,737,306,656,018,432 seconds is equal to 4,729,386,276 years, 50 weeks, 1 day, 40 minutes, 32 seconds.
• To count from 1 to 148,737,306,656,018,432 would take you about fourteen billion, one hundred eighty-eight million, one hundred fifty-eight thousand, eight hundred thirty 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 148737306656018432 cubic inches would be around 44152.8 feet tall.

Recreational maths with 148737306656018432

• 148737306656018432 backwards is 234810656603737841
• The number of decimal digits it has is: 18
• The sum of 148737306656018432's digits is 74
• More coming soon!