131668144128

Names of 131668144128

• Cardinal: 131668144128 can be written as One hundred thirty-one billion, six hundred sixty-eight million, one hundred forty-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.31668144128 × 10¹¹

Factors of 131668144128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 202

Divisors of 131668144128

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 29 31 32 36 48 58 62 64 72 87 93 96 116 124 128 137 144 174 186 192 232 248 256 261 274 279 288 348 372 384 411 464 496 512 522 548 558 576 696 744 768 822 841 899 928 992 1024 1044 1096 1116 1152 1233 1392 1488 1536 1644 1682 1798 1856 1984 2048 2088 2192 2232 2304 2466 2523 2697 2784 2976 3072 3288 3364 3596 3712 3968 3973 4096 4176 4247 4384 4464 4608 4932 5046 5394 5568 5952 6144 6576 6728 7192 7424 7569 7936 7946 8091 8352 8494 8768 8928 9216 9864 10092 10788 11136 11904 11919 12288 12741 13152 13456 14384 14848 15138 15872 15892 16182 16704 16988 17536 17856 18432 19728 20184 21576 22272 23808 23838 25482 26071 26304 26912 28768 29696 30276 31744 31784 32364 33408 33976 35072 35712 35757 36864 38223 39456 40368 43152 44544 47616 47676 50964 52142 52608 53824 57536 59392 60552 63488 63568 64728 66816 67952 70144 71424 71514 76446 78213 78912 80736 86304 89088 95232 95352 101928 104284 105216 107648 115072 115217 118784 121104 123163 126976 127136 129456 133632 135904 140288 142848 143028 152892 156426 157824 161472 172608 178176 190464 190704 203856 208568 210432 215296 230144 230434 234639 242208 246326 254272 258912 267264 271808 280576 285696 286056 305784 312852 315648 322944 345216 345651 356352 369489 380928 381408 407712 417136 420864 430592 460288 460868 469278 484416 492652 508544 517824 534528 543616 561152 571392 572112 611568 625704 631296 645888 690432 691302 738978 762816 815424 834272 841728 861184 920576 921736 938556 968832 985304 1017088 1035648 1036953 1069056 1087232 1108467 1142784 1144224 1223136 1251408 1262592 1291776 1380864 1382604 1477956 1525632 1630848 1668544 1683456 1722368 1841152 1843472 1877112 1937664 1970608 2034176 2071296 2073906 2174464 2216934 2288448 2446272 2502816 2525184 2583552 2761728 2765208 2955912 3051264 3261696 3337088 3444736 3571727 3682304 3686944 3754224 3875328 3941216 4068352 4142592 4147812 4348928 4433868 4576896 4892544 5005632 5050368 5167104 5523456 5530416 5911824 6102528 6523392 6674176 7143454 7373888 7508448 7750656 7882432 8136704 8285184 8295624 8697856 8867736 9153792 9785088 10011264 10334208 10715181 11046912 11060832 11823648 12205056 13046784 13348352 14286908 14747776 15016896 15501312 15764864 16273408 16570368 16591248 17395712 17735472 18307584 19570176 20022528 21430362 22121664 23647296 24410112 26093568 26696704 28573816 29495552 30033792 31002624 31529728 32145543 33140736 33182496 35470944 36615168 39140352 40045056 42860724 44243328 47294592 48820224 52187136 53393408 57147632 58991104 60067584 63059456 64291086 66364992 70941888 73230336 78280704 80090112 85721448 88486656 94589184 106786816 114295264 117982208 120135168 126118912 128582172 132729984 141883776 146460672 156561408 160180224 171442896 176973312 189178368 228590528 235964416 240270336 252237824 257164344 265459968 283767552 320360448 342885792 353946624 378356736 457181056 471928832 480540672 504475648 514328688 530919936 567535104 685771584 707893248 756713472 914362112 961081344 1028657376 1061839872 1135070208 1371543168 1415786496 1513426944 1828724224 2057314752 2123679744 2270140416 2743086336 3657448448 4114629504 4247359488 4540280832 5486172672 7314896896 8229259008 10972345344 14629793792 16458518016 21944690688 32917036032 43889381376 65834072064 131668144128
• Sum of all divisors σ(n): 409569396288
• Sum of proper divisors (its aliquot sum) s(n): 277901252160
• 131668144128 is an abundant number, because the sum of its proper divisors (277901252160) is greater than itself. Its abundance is 146233108032

Bases of 131668144128

• Binary: 1111010101000000010000111000000000000₂
• Hexadecimal: 0x1EA8087000
• Base-36: 1OHJTA80

Squares and roots of 131668144128

• 131668144128 squared (131668144128²) is 17336500178111780880384
• 131668144128 cubed (131668144128³) is 2282664804126719635853155239985152
• The square root of 131668144128 is 362861.0534736403
• The cube root of 131668144128 is 5087.3728905517

Scales and comparisons

• 131,668,144,128 seconds is equal to 4,186 years, 33 weeks, 1 day, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 131,668,144,128 would take you about eight thousand, three hundred seventy-three 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 131668144128 cubic inches would be around 423.9 feet tall.

Recreational maths with 131668144128

• 131668144128 backwards is 821441866131
• The number of decimal digits it has is: 12
• The sum of 131668144128's digits is 45
• More coming soon!