3438480816200752

Names of 3438480816200752

• Cardinal: 3438480816200752 can be written as Three quadrillion, four hundred thirty-eight trillion, four hundred eighty billion, eight hundred sixteen million, two hundred thousand, seven hundred fifty-two.

Scientific notation

• Scientific notation: 3.438480816200752 × 10¹⁵

Factors of 3438480816200752

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 3968

Divisors of 3438480816200752

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 343 356 392 623 686 701 712 784 1246 1372 1402 1424 2492 2744 2804 3169 4361 4907 4984 5488 5608 6338 8722 9814 9968 11216 12676 17444 19628 22183 25352 30527 34349 34888 39256 44366 50704 61054 62389 68698 69776 78512 88732 122108 124778 137396 155281 177464 240443 244216 249556 274792 282041 310562 354928 436723 480886 488432 499112 549584 564082 621124 873446 961772 998224 1086967 1128164 1242248 1746892 1923544 1974287 2173934 2221469 2256328 2484496 3057061 3493784 3847088 3948574 4347868 4442938 4512656 6114122 6987568 7897148 8695736 8885876 10042561 12228244 13820009 15550283 15794296 17391472 17771752 20085122 21399427 24456488 27640018 31100566 31588592 35543504 40170244 42798854 48912976 55280036 62201132 70297927 80340488 85597708 96740063 108851981 110560072 124402264 140595854 160680976 171195416 193480126 197710741 217703962 221120144 248804528 281191708 342390832 386960252 395421482 435407924 492085489 562383416 761963867 773920504 790842964 870815848 893787929 984170978 1124766832 1383975187 1523927734 1547841008 1581685928 1741631696 1787575858 1968341956 2767950374 3047855468 3163371856 3444598423 3575151716 3936683912 5535900748 6095710936 6256515503 6889196846 7039835261 7150303432 7873367824 9687826309 11071801496 12191421872 12513031006 13778393692 14079670522 14300606864 19375652618 22143602992 25026062012 27556787384 28159341044 38751305236 43795608521 49278846827 50052124024 55113574768 56318682088 67814784163 77502610472 87591217042 98557693654 100104248048 112637364176 135629568326 155005220944 175182434084 197115387308 271259136652 306569259647 344951927789 350364868168 394230774616 542518273304 613138519294 626545338229 689903855578 700729736336 788461549232 1085036546608 1226277038588 1253090676458 1379807711156 2414663494523 2452554077176 2506181352916 2759615422312 4385817367603 4829326989046 4905108154352 5012362705832 5519230844624 8771634735206 9658653978092 10024725411664 17543269470412 19317307956184 30700721573221 35086538940824 38634615912368 61401443146442 70173077881648 122802886292884 214905051012547 245605772585768 429810102025094 491211545171536 859620204050188 1719240408100376 3438480816200752
• Sum of all divisors σ(n): 7870147128792000
• Sum of proper divisors (its aliquot sum) s(n): 4431666312591248
• 3438480816200752 is an abundant number, because the sum of its proper divisors (4431666312591248) is greater than itself. Its abundance is 993185496390496

Bases of 3438480816200752

• Binary: 1100001101110100011110110011100111011101110000110000₂
• Hexadecimal: 0xC3747B39DDC30
• Base-36: XUU8A30SOG

Squares and roots of 3438480816200752

• 3438480816200752 squared (3438480816200752²) is 11823150323380589657587565365504
• 3438480816200752 cubed (3438480816200752³) is 40653675574001874878102152484371551093519659008
• The square root of 3438480816200752 is 58638560.8298903597
• The cube root of 3438480816200752 is 150934.6209986513

Scales and comparisons

• 3,438,480,816,200,752 seconds is equal to 109,333,054 years, 1 week, 5 days, 23 hours, 45 minutes, 52 seconds.
• To count from 1 to 3,438,480,816,200,752 would take you about three hundred twenty-seven million, nine hundred ninety-nine thousand, one hundred sixty-two 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 3438480816200752 cubic inches would be around 12577.9 feet tall.

Recreational maths with 3438480816200752

• 3438480816200752 backwards is 2570026180848343
• The number of decimal digits it has is: 16
• The sum of 3438480816200752's digits is 61
• More coming soon!