13688137982064
13,688,137,982,064 is an even composite number composed of seven prime numbers multiplied together.
13688137982064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13688137982064:
24 × 3 × 72 × 13 × 61 × 127 × 57787
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 61 × 127 × 57787)See below for interesting mathematical facts about the number 13688137982064 from the Numbermatics database.
Names of 13688137982064
- Cardinal: 13688137982064 can be written as Thirteen trillion, six hundred eighty-eight billion, one hundred thirty-seven million, nine hundred eighty-two thousand and sixty-four.
Scientific notation
- Scientific notation: 1.3688137982064 × 1013
Factors of 13688137982064
Divisors of 13688137982064
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 61 78 84 91 98 104 112 122 127 147 156 168 182 183 196 208 244 254 273 294 312 336 364 366 381 392 427 488 508 546 588 624 637 728 732 762 784 793 854 889 976 1016 1092 1176 1274 1281 1456 1464 1524 1586 1651 1708 1778 1911 2032 2184 2352 2379 2548 2562 2667 2928 2989 3048 3172 3302 3416 3556 3822 4368 4758 4953 5096 5124 5334 5551 5978 6096 6223 6344 6604 6832 7112 7644 7747 8967 9516 9906 10192 10248 10668 11102 11557 11956 12446 12688 13208 14224 15288 15494 16653 17934 18669 19032 19812 20496 21336 22204 23114 23241 23912 24892 26416 30576 30988 33306 34671 35868 37338 38064 38857 39624 42672 44408 46228 46482 47824 49784 54229 57787 61976 66612 69342 71736 74676 77714 79248 80899 88816 92456 92964 99568 100711 108458 115574 116571 123952 133224 138684 143472 149352 155428 161798 162687 173361 184912 185928 201422 216916 231148 233142 242697 266448 277368 298704 302133 310856 323596 325374 346722 371856 379603 402844 404509 433832 462296 466284 485394 554736 604266 621712 647192 650748 693444 704977 751231 759206 805688 809018 867664 924592 932568 970788 1138809 1208532 1213527 1294384 1301496 1386888 1409954 1502462 1518412 1611376 1618036 1865136 1941576 2114931 2253693 2277618 2417064 2427054 2602992 2773776 2819908 2831563 3004924 3036824 3236072 3525007 3883152 4229862 4507386 4555236 4834128 4854108 4934839 5258617 5639816 5663126 6009848 6073648 6472144 7050014 7338949 8459724 8494689 9014772 9110472 9708216 9869678 10517234 10575021 11279632 11326252 12019696 14100028 14677898 14804517 15775851 16919448 16989378 18029544 18220944 19416432 19739356 21034468 21150042 22016847 22652504 24675049 28200056 29355796 29609034 31551702 33838896 33978756 36059088 36810319 39478712 42068936 42300084 44033694 45305008 45825091 49350098 51372643 56400112 58711592 59218068 63103404 67957512 73620638 74025147 78957424 84137872 84600168 88067388 91650182 95406337 98700196 102745286 110430957 117423184 118436136 126206808 135915024 137475273 147241276 148050294 154117929 169200336 172725343 176134776 183300364 190812674 197400392 205490572 220861914 236872272 252413616 274950546 286219011 294482552 296100588 308235858 320775637 345450686 352269552 359608501 366600728 381625348 394800784 410981144 441723828 447675889 518176029 549901092 572438022 588965104 592201176 616471716 641551274 667844359 690901372 719217002 733201456 763250696 821962288 883447656 895351778 962326911 1036352058 1078825503 1099802184 1144876044 1184402352 1232943432 1283102548 1335688718 1343027667 1381802744 1438434004 1526501392 1766895312 1790703556 1924653822 2003533077 2072704116 2157651006 2199604368 2245429459 2289752088 2465886864 2566205096 2671377436 2686055334 2763605488 2876868008 3133731223 3581407112 3849307644 4007066154 4145408232 4315302012 4490858918 4579504176 4674910513 5132410192 5342754872 5372110668 5753736016 5819786557 6267462446 6736288377 7162814224 7698615288 8014132308 8290816464 8630604024 8981717836 9349821026 9401193669 10685509744 10744221336 11639573114 12534924892 13472576754 14024731539 15397230576 16028264616 17261208048 17459359671 17963435672 18699642052 18802387338 21488442672 21936118561 23279146228 25069849784 26945153508 28049463078 32056529232 34918719342 35926871344 37399284104 37604774676 40738505899 43872237122 46558292456 50139699568 53890307016 56098926156 65808355683 69837438684 74798568208 75209549352 81477011798 87744474244 93116584912 107780614032 112197852312 122215517697 131616711366 139674877368 150419098704 162954023596 175488948488 224395704624 244431035394 263233422732 279349754736 285169541293 325908047192 350977896976 488862070788 526466845464 570339082586 651816094384 855508623879 977724141576 1052933690928 1140678165172 1711017247758 1955448283152 2281356330344 3422034495516 4562712660688 6844068991032 13688137982064
- Sum of all divisors σ(n): 45379938164736
- Sum of proper divisors (its aliquot sum) s(n): 31691800182672
- 13688137982064 is an abundant number, because the sum of its proper divisors (31691800182672) is greater than itself. Its abundance is 18003662200608
Bases of 13688137982064
- Binary: 110001110011000001001001101000100000011100002
- Hexadecimal: 0xC73049A2070
- Base-36: 4UO8RXQPC
Squares and roots of 13688137982064
- 13688137982064 squared (136881379820642) is 187365121416023113985700096
- 13688137982064 cubed (136881379820643) is 2564679634968698977708202368213731078144
-
The
square root of 13688137982064 is 3699748.3673979775 -
The
cube root of 13688137982064 is 23921.1171601495
Scales and comparisons
How big is 13688137982064?- 13,688,137,982,064 seconds is equal to 435,240 years, 23 weeks, 1 day, 22 hours, 34 minutes, 24 seconds.
-
To count from 1 to 13,688,137,982,064 would take you about one million, eighty-eight thousand, one hundred one 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 13688137982064 cubic inches would be around 1993.4 feet tall.
Recreational maths with 13688137982064
- 13688137982064 backwards is 46028973188631
- The number of decimal digits it has is: 14
- The sum of 13688137982064's digits is 66
- More coming soon!
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