13728515867946
13,728,515,867,946 is an even composite number composed of seven prime numbers multiplied together.
13728515867946 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13728515867946:
2 × 32 × 114 × 172 × 19 × 53 × 179
(2 × 3 × 3 × 11 × 11 × 11 × 11 × 17 × 17 × 19 × 53 × 179)See below for interesting mathematical facts about the number 13728515867946 from the Numbermatics database.
Names of 13728515867946
- Cardinal: 13728515867946 can be written as Thirteen trillion, seven hundred twenty-eight billion, five hundred fifteen million, eight hundred sixty-seven thousand, nine hundred forty-six.
Scientific notation
- Scientific notation: 1.3728515867946 × 1013
Factors of 13728515867946
Divisors of 13728515867946
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 6 9 11 17 18 19 22 33 34 38 51 53 57 66 99 102 106 114 121 153 159 171 179 187 198 209 242 289 306 318 323 342 358 363 374 418 477 537 561 578 583 627 646 726 867 901 954 969 1007 1074 1089 1122 1166 1254 1331 1611 1683 1734 1749 1802 1881 1938 1969 2014 2057 2178 2299 2601 2662 2703 2907 3021 3043 3179 3222 3366 3401 3498 3553 3762 3938 3993 4114 4598 5202 5247 5406 5491 5814 5907 6042 6086 6171 6358 6413 6802 6897 7106 7986 8109 9063 9129 9487 9537 9911 10203 10494 10659 10982 11077 11814 11979 12342 12826 13794 14641 15317 16218 16473 17119 17721 18126 18258 18513 18974 19074 19239 19822 20406 20691 21318 21659 22154 22627 23958 25289 27387 28461 28611 29282 29733 30609 30634 31977 32946 33231 33473 34238 34969 35442 37026 37411 38478 39083 41382 43318 43923 45254 45951 49419 50578 51357 51731 54774 56922 57222 57717 57817 59466 60401 61218 63954 64977 66462 66946 67881 69938 70543 74822 75867 78166 85383 87846 89199 91902 98838 99693 100419 102714 103462 104357 104907 109021 112233 115434 115634 117249 120802 121847 129954 131769 135762 137853 141086 151734 154071 155193 161279 168487 170766 173451 178398 180253 181203 188309 194931 199386 200838 203643 208714 209814 211629 218042 224466 227601 234498 238249 243694 248897 263538 275706 278179 291023 301257 308142 310386 313071 314721 322558 327063 336699 336974 346902 351747 360506 362406 365541 368203 376618 384659 389862 407286 411521 423258 429913 455202 465579 476498 483837 497794 505461 520353 540759 543609 556358 564927 569041 582046 602514 626142 629442 634887 635987 654126 664411 673398 703494 714747 731082 736406 746691 769318 775973 823042 834537 859826 873069 931158 939213 967674 981189 982889 1010922 1040706 1081518 1087218 1096623 1104609 1129854 1138082 1147927 1153977 1199231 1234563 1269774 1271974 1289739 1328822 1340317 1429494 1451511 1493382 1516383 1551946 1622277 1669074 1694781 1707123 1746138 1774069 1853357 1878426 1907961 1962378 1965778 1982783 1993233 2071399 2144241 2193246 2209218 2240073 2295854 2307954 2327919 2398462 2469126 2503611 2579478 2619207 2620739 2680634 2741743 2903022 2948667 3032766 3064301 3201253 3244554 3313827 3389562 3414246 3443781 3461931 3548138 3597693 3703689 3706714 3815922 3869217 3965566 3986466 4020951 4050233 4142798 4231249 4288482 4480146 4526731 4655838 4729043 5007222 5121369 5238414 5241478 5322207 5483486 5560071 5723883 5897334 5948349 5979699 6128602 6214197 6259451 6402506 6627654 6887562 6923862 6983757 6995857 7195386 7308521 7407378 7738434 7862217 8041902 8100466 8225229 8462498 8846001 9053462 9192903 9458086 9603759 10242738 10331343 10644414 10793079 10811779 11120142 11447766 11896698 11959398 12062853 12150699 12428394 12518902 12627197 12693747 13191541 13580193 13967514 13991714 14187129 14617042 14743487 15724434 15966621 16450458 16680213 17692002 17845047 18385806 18642591 18778353 19207518 19514759 20386927 20662686 20987571 21586158 21623558 21810613 21925563 22785389 23586651 24125706 24301398 24675687 25254394 25387494 26383082 27160386 27578709 28374258 28811277 29486974 30159173 31933242 32435337 33360426 33707311 35213783 35690094 36452097 37285182 37556706 37881591 38081241 39029518 39574623 40740579 40773854 41975142 42561387 43621226 43851126 44230461 44552563 45570778 47173302 49351374 49794041 52093117 55157418 56335059 57622554 58544277 60318346 61160781 62962713 64870674 65431839 65776689 67414622 68356167 68853961 70427566 72904194 75763182 76162482 76954427 79149246 80393731 81481158 85122774 88460922 89105126 90477519 97306011 99588082 101121933 104186234 105641349 112670118 113644773 117088554 118723869 118929569 122321562 125925426 130863678 131553378 132691383 133657689 136712334 137707922 138899167 149382123 153908854 156279351 160787462 175632831 180955038 183482343 194612022 196295517 202243866 205068501 206561883 211282698 214662349 224256197 227289546 230863281 237447738 237859138 239916743 241181193 250639279 265382766 267315378 271432557 277798334 298764246 303365799 312558702 316924047 331750903 351265662 356788707 366964686 370780421 387351613 392591034 400973067 410137002 413123766 416697501 429324698 448146369 448512394 461726562 468838053 479833486 482362386 501278558 542865114 573024287 606731598 619685649 633848094 643987047 663501806 672768591 692589843 713577414 719750229 723543579 741560842 751917837 757393571 774703226 801946134 833395002 846498697 896292738 937676106 995252709 1070366121 1112341263 1146048574 1162054839 1239371298 1250092503 1287974094 1308225259 1345537182 1385179686 1439500458 1447087158 1503835674 1514787142 1692997394 1719072861 1931961141 1990505418 2018305773 2140732242 2159250687 2224682526 2255753511 2272180713 2324109678 2361285839 2500185006 2539496091 2616450518 2639084173 2985758127 3337023789 3438145722 3486164517 3649259933 3863922282 3924675777 4036611546 4078584631 4260867743 4318501374 4511507022 4544361426 4722571678 5078992182 5157218583 5278168346 5971516254 6303267157 6674047578 6816542139 6972329034 7083857517 7298519866 7618488273 7849351554 7917252519 8157169262 8521735486 10314437166 10947779799 11774027331 12235753893 12606534314 12782603229 13633084278 14167715034 14390477849 15236976546 15834505038 18909801471 21251572551 21895559598 23548054662 23751757557 24471507786 25565206458 28780955698 32843339397 36707261679 37819602942 38347809687 40141859263 42503145102 43171433547 44864430941 47503515114 56729404413 65686678794 69335938727 73414523358 76695619374 80283718526 86342867094 89728861882 113458808826 120425577789 129514300641 134593292823 138671877454 208007816181 240851155578 259028601282 269186585646 361276733367 403779878469 416015632362 624023448543 722553466734 762695325997 807559756938 1248046897086 1525390651994 2288085977991 4576171955982 6864257933973 13728515867946
- Sum of all divisors σ(n): 37485212076000
- Sum of proper divisors (its aliquot sum) s(n): 23756696208054
- 13728515867946 is an abundant number, because the sum of its proper divisors (23756696208054) is greater than itself. Its abundance is 10028180340108
Bases of 13728515867946
- Binary: 110001111100011010110100111111000101001010102
- Hexadecimal: 0xC7C6B4FC52A
- Base-36: 4V6SJVYUI
Squares and roots of 13728515867946
- 13728515867946 squared (137285158679462) is 188472147936445113710258916
- 13728515867946 cubed (137285158679463) is 2587442873611352703093785846554125106536
-
The
square root of 13728515867946 is 3705201.1912912367 -
The
cube root of 13728515867946 is 23944.6152662547
Scales and comparisons
How big is 13728515867946?- 13,728,515,867,946 seconds is equal to 436,524 years, 17 weeks, 4 days, 13 hours, 59 minutes, 6 seconds.
-
To count from 1 to 13,728,515,867,946 would take you about one million, ninety-one thousand, three hundred ten 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 13728515867946 cubic inches would be around 1995.4 feet tall.
Recreational maths with 13728515867946
- 13728515867946 backwards is 64976851582731
- The number of decimal digits it has is: 14
- The sum of 13728515867946's digits is 72
- More coming soon!
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