198313916901345

Names of 198313916901345

• Cardinal: 198313916901345 can be written as One hundred ninety-eight trillion, three hundred thirteen billion, nine hundred sixteen million, nine hundred one thousand, three hundred forty-five.

Scientific notation

• Scientific notation: 1.98313916901345 × 10¹⁴

Factors of 198313916901345

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1675

Divisors of 198313916901345

• Number of divisors d(n): 672
• Complete list of divisors:
  1 3 5 7 9 15 19 21 27 35 45 49 57 63 81 95 105 127 133 135 147 171 189 243 245 285 315 381 399 405 421 441 513 567 635 665 729 735 855 889 931 945 1093 1143 1197 1215 1263 1323 1539 1701 1905 1995 2105 2205 2413 2565 2667 2793 2835 2947 3279 3429 3591 3645 3789 3969 4445 4617 4655 5103 5465 5715 5985 6223 6315 6615 7239 7651 7695 7999 8001 8379 8505 8841 9837 10287 10773 11367 11907 12065 13335 13851 13965 14735 16395 16891 17145 17955 18669 18945 19845 20629 20767 21717 22953 23085 23997 24003 25137 25515 26523 29511 30861 31115 32319 34101 35721 36195 38255 39995 40005 41895 44205 49185 50673 51435 53467 53557 53865 55993 56007 56835 59535 61887 62301 65151 68859 69255 71991 72009 75411 79569 84455 88533 92583 93345 96957 102303 103145 103835 108585 114765 118237 119985 120015 125685 132615 138811 145369 147555 152019 154305 160401 160671 161595 167979 168021 170505 178605 185661 186903 195453 206577 215973 216027 226233 238707 253365 265599 267335 267785 279965 280035 306909 309435 311505 325755 344295 354711 359955 360045 374269 377055 391951 397845 416433 436107 442665 456057 460153 462915 481203 482013 484785 503937 504063 511515 556983 560709 586359 591185 619731 647919 648081 678699 694055 716121 726845 760095 796797 802005 803355 839895 840105 928305 934515 971677 977265 1015873 1017583 1032885 1064133 1079865 1080135 1122807 1131165 1175853 1193535 1249299 1308321 1327995 1368171 1380459 1443609 1446039 1511811 1512189 1534545 1670949 1682127 1759077 1773555 1859193 1871345 1943757 1959755 2082165 2148363 2180535 2280285 2300765 2406015 2410065 2519685 2520315 2619883 2637409 2784915 2803545 2915031 2931795 3047619 3052749 3098655 3192399 3221071 3239595 3240405 3368421 3393495 3527559 3580605 3747897 3924963 3983985 4104513 4141377 4330827 4338117 4535433 4536567 4858385 5012847 5046381 5079365 5087915 5320665 5577579 5614035 5831271 5879265 6246495 6541605 6801739 6840855 6902295 7111111 7218045 7230195 7559055 7560945 7859649 7912227 8354745 8410635 8742907 8745093 8795385 9142857 9158247 9295965 9577197 9663213 9718785 10105263 10582677 10741815 11243691 11774889 12313539 12424131 12992481 13014351 13099415 13187045 13606299 14575155 15038541 15139143 15238095 15263745 15961995 16105355 16842105 17637795 18461863 18739485 19624815 20405217 20522565 20706885 21333333 21654135 21690585 22547497 22677165 22682835 23578947 23736681 25064235 25231905 26228721 26235279 27428571 27474741 27887895 28731591 28989639 29156355 30315789 31748031 33731073 34008695 35324667 35555555 37272393 38977443 39043053 39298245 39561135 40818897 43714535 43725465 45714285 45791235 47885985 48316065 49777777 50526315 52913385 55385589 56218455 58439431 58874445 61200349 61215651 61567695 62120655 63999999 64962405 65071755 67642491 68031495 70736841 71210043 75192705 75695715 78686163 78705837 82285713 82424223 86194773 86968917 90947367 92309315 95244093 101193219 102026085 105974001 106666665 111817179 112737485 117894735 118683405 129233041 131143605 131176395 137142855 137373705 143657955 144948195 149333331 151578945 158740155 166156767 168655365 175318293 176623335 183601047 183646953 186361965 191999997 194887215 195215265 202927473 204094485 212210523 213630129 236058489 236117511 246857139 247272669 248888885 260906751 272842101 276927945 285732279 292197155 306001745 306078255 319999995 335451537 338212455 353684205 356050215 387699123 393430815 393529185 409076017 411428565 412121115 428402443 430973865 434844585 447999993 454736835 476220465 498470301 505966095 525954879 529870005 550803141 550940859 559085895 575999991 608782419 636631569 640890387 646165205 708175467 708352533 740571417 741818007 746666655 782720253 830783835 876591465 918005235 918234765 959999985 1014637365 1061052615 1068150645 1110349189 1163097369 1180292445 1180587555 1227228051 1234285695 1236363345 1285207329 1304533755 1343999979 1364210505 1428661395 1495410903 1577864637 1652409423 1652822577 1677257685 1727999973 1826347257 1909894707 1922671161 1938495615 2045380085 2124526401 2142012215 2239999965 2348160759 2492351505 2629774395 2754015705 2754704295 2863532119 2879999955 3043912095 3183157845 3204451935 3331047567 3489292107 3540877335 3541762665 3681684153 3702857085 3709090035 3855621987 3913601265 4031999937 4486232709 4733593911 4957228269 4958467731 5183999919 5479041771 5551745945 5815486845 6136140255 6373579203 6426036645 6719999895 7477054515 7772444323 7889323185 8262047115 8264112885 8590596357 8639999865 9131736285 9549473535 9613355805 9993142701 10467876321 10622632005 11045052459 11566865961 11740803795 12095999811 13458698127 14200781733 14317660595 14871684807 16437125313 16655237835 17446460535 18408420765 19278109935 20159999685 22431163545 23317332969 23667969555 24786141345 24792338655 25771789071 25919999595 27395208855 29979428103 31403628963 31867896015 33135157377 34700597883 36287999433 38862221615 42602345199 42952981785 44615054421 49965713505 52339381605 54407110261 55225262295 57834329805 60479999055 67293490635 69951998907 71003908665 74358424035 77315367213 82185626565 89938284309 94210886889 99405472131 104101793649 116586664845 128858945355 149897140515 157018144815 163221330783 165675786885 173502989415 181439997165 209855996721 213011725995 223075272105 231946101639 269814852927 272035551305 298216416393 312305380947 349759994535 386576836065 449691421545 471054434445 489663992349 497027360655 520508968245 629567990163 695838304917 809444558781 816106653915 1049279983605 1159730508195 1349074264635 1468991977047 1491082081965 1561526904735 1888703970489 2087514914751 2448319961745 3147839950815 3479191524585 4047222793905 4406975931141 5666111911467 7344959885235 9443519852445 10437574573755 13220927793423 22034879655705 28330559557335 39662783380269 66104638967115 198313916901345
• Sum of all divisors σ(n): 441790127124480
• Sum of proper divisors (its aliquot sum) s(n): 243476210223135
• 198313916901345 is an abundant number, because the sum of its proper divisors (243476210223135) is greater than itself. Its abundance is 45162293321790

Bases of 198313916901345

• Binary: 101101000101110110001110100100100010011111100001₂
• Hexadecimal: 0xB45D8E9227E1
• Base-36: 1YAO5LT529

Squares and roots of 198313916901345

• 198313916901345 squared (198313916901345²) is 39328409636753570046462809025
• 198313916901345 cubed (198313916901345³) is 7799370960565203386933988199636912500638625
• The square root of 198313916901345 is 14082397.4131305145
• The cube root of 198313916901345 is 58315.5528805635

Scales and comparisons

• 198,313,916,901,345 seconds is equal to 6,305,769 years, 6 weeks, 6 days, 3 hours, 15 minutes, 45 seconds.
• To count from 1 to 198,313,916,901,345 would take you about fifteen million, seven hundred sixty-four thousand, four hundred twenty-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 198313916901345 cubic inches would be around 4859.6 feet tall.

Recreational maths with 198313916901345

• 198313916901345 backwards is 543109619313891
• 198313916901345 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 198313916901345's digits is 63
• More coming soon!