13972598188956792

Names of 13972598188956792

• Cardinal: 13972598188956792 can be written as Thirteen quadrillion, nine hundred seventy-two trillion, five hundred ninety-eight billion, one hundred eighty-eight million, nine hundred fifty-six thousand, seven hundred ninety-two.

Scientific notation

• Scientific notation: 1.3972598188956792 × 10¹⁶

Factors of 13972598188956792

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 349187

Divisors of 13972598188956792

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 811 847 924 968 1089 1386 1452 1622 1694 1848 2178 2433 2541 2772 2904 3244 3388 4356 4866 5082 5544 5677 6488 6776 7299 7623 8712 8921 9732 10164 11354 14598 15246 17031 17842 19464 20328 22708 26763 29196 30492 34062 35684 45416 51093 53526 58392 60984 62447 68124 71368 80289 98131 102186 107052 124894 136248 160578 187341 196262 204372 214104 249788 294393 321156 348353 374682 392524 408744 499576 562023 588786 642312 657721 686917 696706 749364 785048 883179 1045059 1124046 1177572 1315442 1373834 1393412 1498728 1766358 1973163 2060751 2090118 2248092 2355144 2438471 2630884 2747668 2786824 3135177 3532716 3831883 3946326 4121502 4180236 4496184 4604047 4876942 5261768 5495336 5919489 6182253 6270354 7065432 7234931 7315413 7663766 7892652 8243004 8360472 9208094 9753884 11495649 11838978 12364506 12540708 13812141 14469862 14630826 15327532 15785304 16486008 18416188 19507768 21704793 21946239 22991298 23677956 24729012 25081416 26823181 27624282 28939724 29261652 30655064 34486947 36832376 41436423 42150713 43409586 43892478 45982596 47355912 49458024 50644517 53646362 55248564 57879448 58523304 65114379 68973894 79584241 80469543 82872846 84301426 86819172 87784956 91965192 101289034 107292724 110497128 126452139 130228758 137947788 151933551 159168482 160939086 165745692 168602852 173638344 175569912 202578068 214585448 238752723 241408629 252904278 260457516 275895576 282514283 295054991 303867102 318336964 321878172 331491384 337205704 379356417 405156136 455800653 477505446 482817258 505808556 520915032 557089687 565028566 590109982 607734204 636673928 643756344 716258169 758712834 847542849 885164973 911601306 955010892 965634516 1011617112 1114179374 1130057132 1180219964 1215468408 1432516338 1517425668 1671269061 1695085698 1770329946 1823202612 1910021784 1931269032 1977599981 2228358748 2260114264 2360439928 2542628547 2655494919 2865032676 3034851336 3107657113 3342538122 3390171396 3540659892 3646405224 3955199962 4456717496 5013807183 5085257094 5310989838 5730065352 5932799943 6215314226 6685076244 6780342792 7081319784 7910399924 9322971339 10027614366 10170514188 10621979676 11865599886 12430628452 13370152488 15820799848 17798399829 18645942678 20055228732 20341028376 21243959352 21753599791 23731199772 24861256904 27968914017 34184228243 35596799658 37291885356 40110457464 43507199582 47462399544 55937828034 65260799373 68368456486 71193599316 74583770712 87014399164 102552684729 111875656068 130521598746 136736912972 142387198632 174028798328 195782398119 205105369458 223751312136 229119083513 239289597701 261043197492 273473825944 307658054187 391564796238 410210738916 458238167026 478579195402 522086394984 615316108374 687357250539 717868793103 783129592476 820421477832 916476334052 957158390804 1230632216748 1374714501078 1435737586206 1566259184952 1603833584591 1832952668104 1914316781608 2062071751617 2153606379309 2461264433496 2520309918643 2749429002156 2871475172412 3207667169182 4124143503234 4307212758618 4811500753773 5040619837286 5498858004312 5742950344824 6415334338364 7560929755929 8248287006468 8614425517236 9623001507546 10081239674572 12830668676728 14434502261319 15121859511858 16496574012936 17228851034472 17642169430501 19246003015092 20162479349144 22682789267787 27723409105073 28869004522638 30243719023716 35284338861002 38492006030184 45365578535574 52926508291503 55446818210146 57738009045276 60487438047432 70568677722004 83170227315219 90731157071148 105853016583006 110893636420292 115476018090552 141137355444008 158779524874509 166340454630438 181462314142296 194063863735511 211706033166012 221787272840584 249510681945657 317559049749018 332680909260876 388127727471022 423412066332024 499021363891314 582191591206533 635118099498036 665361818521752 776255454942044 998042727782628 1164383182413066 1270236198996072 1552510909884088 1746574773619599 1996085455565256 2328766364826132 3493149547239198 4657532729652264 6986299094478396 13972598188956792
• Sum of all divisors σ(n): 47596452419421360
• Sum of proper divisors (its aliquot sum) s(n): 33623854230464568
• 13972598188956792 is an abundant number, because the sum of its proper divisors (33623854230464568) is greater than itself. Its abundance is 19651256041507776

Bases of 13972598188956792

• Binary: 110001101001000000000100000111101001000101110001111000₂
• Hexadecimal: 0x31A40107A45C78
• Base-36: 3TKVEZRWRY0

Squares and roots of 13972598188956792

• 13972598188956792 squared (13972598188956792²) is 195233500150038623675901242931264
• 13972598188956792 cubed (13972598188956792³) is 2727919250620125252379467361072440076976321945088
• The square root of 13972598188956792 is 118205745.1605326669
• The cube root of 13972598188956792 is 240856.8802332711

Scales and comparisons

• 13,972,598,188,956,792 seconds is equal to 444,285,402 years, 16 weeks, 6 days, 6 hours, 13 minutes, 12 seconds.
• To count from 1 to 13,972,598,188,956,792 would take you about one billion, three hundred thirty-two million, eight hundred fifty-six thousand, two hundred six 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 13972598188956792 cubic inches would be around 20071.4 feet tall.

Recreational maths with 13972598188956792

• 13972598188956792 backwards is 29765988189527931
• 13972598188956792 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13972598188956792's digits is 99
• More coming soon!