1338938670176016

Names of 1338938670176016

• Cardinal: 1338938670176016 can be written as One quadrillion, three hundred thirty-eight trillion, nine hundred thirty-eight billion, six hundred seventy million, one hundred seventy-six thousand and sixteen.

Scientific notation

• Scientific notation: 1.338938670176016 × 10¹⁵

Factors of 1338938670176016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 19225

Divisors of 1338938670176016

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 49 51 52 56 68 78 84 91 98 102 104 112 119 136 147 156 168 182 196 204 208 221 238 272 273 294 312 336 343 357 364 392 408 442 476 546 588 624 637 663 686 714 728 784 816 833 884 952 1029 1092 1176 1274 1326 1372 1428 1456 1547 1666 1768 1904 1911 2058 2184 2352 2499 2548 2652 2744 2856 3094 3332 3536 3822 4116 4368 4459 4641 4998 5096 5304 5488 5712 5831 6188 6664 7644 8232 8918 9282 9996 10192 10608 10829 11662 12376 13328 13377 15288 16464 17493 17836 18564 19183 19992 21658 23324 24752 26754 30576 32487 34986 35672 37128 38366 39984 43316 46648 53508 57549 64974 69972 71344 74256 75803 76732 86632 93296 107016 115098 129948 134281 139944 151606 153464 173264 214032 227409 230196 249379 259896 268562 279888 303212 306928 326111 402843 454818 460392 498758 519792 537124 606424 652222 748137 805686 909636 920784 939967 978333 997516 1074248 1212848 1304444 1496274 1611372 1745653 1819272 1879934 1956666 1995032 2148496 2282777 2608888 2819901 2992548 3222744 3491306 3638544 3759868 3913332 3990064 4239443 4565554 5217776 5236959 5639802 5985096 6445488 6579769 6848331 6982612 7519736 7826664 8478886 9131108 10473918 11279604 11970192 12219571 12718329 13159538 13696662 13965224 15039472 15653328 15979439 16957772 18262216 19739307 20947836 22559208 24439142 25436658 26319076 27393324 27930448 29676101 31958878 33915544 36524432 36658713 39478614 41895672 45118416 47938317 48878284 50873316 52638152 54786648 59352202 63917756 67831088 73317426 78957228 83791344 85536997 89028303 95876634 97756568 101746632 105276304 109573296 111856073 118704404 127835512 146634852 157914456 171073994 178056606 191753268 195513136 203493264 207732707 223712146 237408808 255671024 256610991 293269704 315828912 335568219 342147988 356113212 367987489 383506536 415465414 447424292 474817616 513221982 586539408 623198121 671136438 684295976 712226424 735974978 767013072 830930828 894848584 1026443964 1103962467 1246396242 1342272876 1368591952 1424452848 1454128949 1471949956 1661861656 1789697168 2052887928 2207924934 2492792484 2575912423 2684545752 2908257898 2943899912 3323723312 4105775856 4362386847 4415849868 4783837357 4985584968 5151824846 5369091504 5816515796 5887799824 6255787313 7727737269 8724773694 8831699736 9567674714 9971169936 10303649692 11633031592 12511574626 14351512071 15455474538 17449547388 17663399472 18031386961 18767361939 19135349428 20607299384 23266063184 25023149252 28703024142 30910949076 33486861499 34899094776 36062773922 37534723878 38270698856 41214598768 43790511191 50046298504 54094160883 57406048284 61821898152 66973722998 69798189552 72125547844 75069447756 76541397712 81325235069 87581022382 100092597008 100460584497 108188321766 114812096568 123643796304 126219708727 131371533573 133947445996 144251095688 150138895512 162650470138 175162044764 200921168994 216376643532 229624193136 234408030493 243975705207 252439417454 262743067146 267894891992 288502191376 300277791024 306533578337 325300940276 350324089528 378659126181 401842337988 432753287064 468816060986 487951410414 504878834908 525486134292 535789783984 569276645483 613067156674 650601880552 700648179056 703224091479 757318252362 803684675976 865506574128 919600735011 937632121972 975902820828 1009757669816 1050972268584 1138553290966 1226134313348 1301203761104 1406448182958 1514636504724 1607369351952 1640856213451 1707829936449 1839201470022 1875264243944 1951805641656 2019515339632 2101944537168 2145735048359 2277106581932 2452268626696 2812896365916 3029273009448 3281712426902 3415659872898 3678402940044 3750528487888 3903611283312 3984936518381 4291470096718 4554213163864 4904537253392 4922568640353 5625792731832 6058546018896 6437205145077 6563424853804 6831319745796 7356805880088 7969873036762 8582940193436 9108426327728 9845137280706 11251585463664 11954809555143 12874410290154 13126849707608 13662639491592 14713611760176 15939746073524 17165880386872 19690274561412 23909619110286 25748820580308 26253699415216 27325278983184 27894555628667 31879492147048 34331760773744 39380549122824 47819238220572 51497641160616 55789111257334 63758984294096 78761098245648 83683666886001 95638476441144 102995282321232 111578222514668 167367333772002 191276952882288 223156445029336 334734667544004 446312890058672 669469335088008 1338938670176016
• Sum of all divisors σ(n): 4599789007161600
• Sum of proper divisors (its aliquot sum) s(n): 3260850336985584
• 1338938670176016 is an abundant number, because the sum of its proper divisors (3260850336985584) is greater than itself. Its abundance is 1921911666809568

Bases of 1338938670176016

• Binary: 100110000011100000111110011110011111101011100010000₂
• Hexadecimal: 0x4C1C1F3CFD710
• Base-36: D6M3XLUMMO

Squares and roots of 1338938670176016

• 1338938670176016 squared (1338938670176016²) is 1792756762492718157908421632256
• 1338938670176016 cubed (1338938670176016³) is 2400391355521059809341670321374486481543172096
• The square root of 1338938670176016 is 36591510.9031591643
• The cube root of 1338938670176016 is 110218.2627830923

Scales and comparisons

• 1,338,938,670,176,016 seconds is equal to 42,574,108 years, 5 weeks, 2 days, 6 hours, 13 minutes, 36 seconds.
• To count from 1 to 1,338,938,670,176,016 would take you about one hundred twenty-seven million, seven hundred twenty-two thousand, three hundred twenty-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 1338938670176016 cubic inches would be around 9184.9 feet tall.

Recreational maths with 1338938670176016

• 1338938670176016 backwards is 6106710768398331
• The number of decimal digits it has is: 16
• The sum of 1338938670176016's digits is 69
• More coming soon!