13038639723648
13,038,639,723,648 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13038639723648 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
13038639723648 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13038639723648:
27 × 32 × 7 × 113 × 31 × 149 × 263
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 11 × 31 × 149 × 263)See below for interesting mathematical facts about the number 13038639723648 from the Numbermatics database.
Names of 13038639723648
- Cardinal: 13038639723648 can be written as Thirteen trillion, thirty-eight billion, six hundred thirty-nine million, seven hundred twenty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.3038639723648 × 1013
Factors of 13038639723648
Divisors of 13038639723648
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 42 44 48 56 62 63 64 66 72 77 84 88 93 96 99 112 121 124 126 128 132 144 149 154 168 176 186 192 198 217 224 231 242 248 252 263 264 279 288 298 308 336 341 352 363 372 384 396 434 447 448 462 484 496 504 526 528 558 576 596 616 651 672 682 693 704 726 744 789 792 847 868 894 896 924 968 992 1008 1023 1043 1052 1056 1089 1116 1152 1192 1232 1302 1331 1341 1344 1364 1386 1408 1452 1488 1578 1584 1639 1694 1736 1788 1841 1848 1936 1953 1984 2016 2046 2086 2104 2112 2178 2232 2367 2384 2387 2464 2541 2604 2662 2682 2688 2728 2772 2893 2904 2976 3069 3129 3156 3168 3278 3388 3472 3576 3682 3696 3751 3872 3906 3968 3993 4032 4092 4172 4208 4224 4356 4464 4619 4734 4768 4774 4917 4928 5082 5208 5324 5364 5456 5523 5544 5786 5808 5952 6138 6258 6312 6336 6556 6776 6944 7152 7161 7364 7392 7502 7623 7744 7812 7986 8064 8153 8184 8344 8416 8679 8712 8928 9238 9317 9387 9468 9536 9548 9834 9856 10164 10416 10648 10728 10912 11046 11088 11253 11473 11572 11616 11904 11979 12276 12516 12624 12672 13112 13552 13857 13888 14304 14322 14728 14751 14784 15004 15246 15488 15624 15972 16306 16368 16569 16688 16832 17358 17424 17856 18029 18476 18634 18774 18936 19072 19096 19668 20251 20328 20832 21296 21456 21483 21824 22092 22176 22506 22946 23144 23232 23958 24459 24552 25032 25248 26037 26224 26257 27104 27714 27776 27951 28608 28644 29456 29502 29568 30008 30492 31248 31823 31944 32333 32612 32736 33138 33376 33664 33759 34419 34716 34848 35712 36058 36952 37268 37548 37872 38192 39187 39336 40502 40656 41261 41571 41664 42592 42912 42966 43648 44184 44352 45012 45892 46288 46464 47916 48918 49104 50064 50496 50809 52074 52448 52514 54087 54208 55428 55902 57071 57216 57288 58912 59004 60016 60753 60984 62496 63646 63888 64666 65224 65472 66276 66752 67518 68838 69432 69696 72116 73377 73904 74536 75096 75744 76384 78374 78672 78771 81004 81312 82522 83142 83328 83853 85184 85824 85932 88368 88704 89683 90024 91784 92576 95469 95832 96999 97836 98208 100128 100992 101618 103257 104148 104896 105028 108174 108416 110856 111804 114142 114576 117561 117824 118008 120032 121506 121968 123783 124992 126203 127292 127776 129332 130448 130944 132552 133504 135036 137676 138864 139392 144232 146754 147808 149072 150192 151488 152427 152768 156748 157344 157542 162008 162261 162624 165044 166284 167706 170368 171213 171648 171864 176736 179366 180048 182259 183568 185152 190938 191664 193998 195672 196416 198319 200256 203236 206514 208296 209792 210056 216348 221712 222761 223608 228284 229152 235122 235648 236016 236313 240064 243012 243936 247566 249984 252406 254584 255552 258664 260896 265104 269049 270072 274309 275352 277728 286407 288464 288827 290997 293508 295616 298144 300384 302976 304854 305536 313496 314688 315084 324016 324522 325248 330088 332568 335412 342426 343728 350053 352683 353472 355663 358732 360096 364518 367136 370304 371349 378609 381876 383328 387996 391344 392832 396638 400512 406472 413028 416592 420112 431057 432696 443424 445522 447216 456568 457281 458304 470244 472032 472626 480128 486024 487872 495132 504812 509168 511104 513639 517328 521792 530208 538098 540144 548618 550704 555456 558899 572814 576928 577654 581994 587016 591232 594957 596288 600768 609708 626992 627781 629376 630168 648032 649044 660176 665136 668283 670824 684852 687456 700106 705366 706944 711326 717464 720192 729036 734272 742698 757218 763752 766656 775992 782688 793276 807147 812944 822927 826056 833184 840224 862114 865392 866481 886848 891044 894432 913136 914562 916608 940488 944064 945252 972048 975744 986513 990264 1009624 1018336 1027278 1034656 1043584 1050159 1060416 1066989 1076196 1080288 1097236 1101408 1110912 1117798 1135827 1145628 1153856 1155308 1163988 1174032 1189914 1192576 1201536 1214797 1219416 1253984 1255562 1260336 1293171 1296064 1298088 1320352 1330272 1336566 1341648 1369704 1374912 1388233 1400212 1410732 1422652 1434928 1440384 1458072 1468544 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129105669 130219716 132765556 133270368 134420352 136057264 136574592 140842548 142057872 144835152 145385856 146990437 147549336 151732064 151923002 153064422 155494016 156473691 156823744 158001984 160353204 160962912 165525888 165734184 166364352 170698572 172140892 173626288 174930768 176426712 177693824 180800928 187078738 187790064 189410496 193113536 195329574 196732448 199148334 199905552 201630528 204085896 204861888 208631588 213804272 214617216 217252728 220978912 221324004 227598096 227884503 228463488 233241024 235235616 240529806 241067904 248288832 248601276 250386752 256620672 258211338 260439432 265531112 266540736 272114528 280618107 281685096 284115744 289670304 293980874 295098672 298722501 303464128 303846004 306128844 312947382 313647488 316003968 320706408 321925824 331468368 332728704 341397144 344281784 347252576 349861536 352853424 361601856 365105279 374157476 375580128 378820992 386227072 387317007 390659148 393464896 398296668 399811104 403261056 408171792 409723776 417263176 427608544 434505456 440971311 441957824 442648008 455196192 455769006 466482048 469421073 470471232 481059612 496577664 497202552 500773504 516422676 520878864 531062224 533081472 544229056 561236214 563370192 568231488 579340608 587961748 590197344 597445002 606928256 607692008 612257688 625894764 641412816 643851648 662936736 682794288 683653509 688563568 694505152 699723072 705706848 723203712 730210558 748314952 751160256 774634014 781318296 786929792 796593336 799622208 816343584 834526352 841854321 855217088 869010912 881942622 883915648 885296016 910392384 911538012 938842146 940942464 962119224 994405104 1028933059 1032845352 1041757728 1062124448 1088458112 1095315837 1122472428 1126740384 1136462976 1158681216 1175923496 1180394688 1194890004 1215384016 1224515376 1251789528 1282825632 1322913933 1325873472 1365588576 1367307018 1377127136 1389010304 1399446144 1411413696 1460421116 1496629904 1502320512 1549268028 1562636592 1593186672 1599244416 1616894807 1632687168 1669052704 1683708642 1710434176 1738021824 1763885244 1770592032 1820784768 1823076024 1877684292 1924238448 1988810208 2057866118 2065690704 2083515456 2124248896 2190631674 2244944856 2253480768 2351846992 2360789376 2389780008 2430768032 2449030752 2503579056 2565651264 2645827866 2651746944 2731177152 2734614036 2754254272 2822827392 2920842232 2993259808 3086799177 3098536056 3125273184 3186373344 3233789614 3265374336 3285947511 3338105408 3367417284 3476043648 3527770488 3541184064 3646152048 3755368584 3848476896 3977620416 4115732236 4131381408 4167030912 4248497792 4381263348 4489889712 4506961536 4703693984 4779560016 4850684421 4861536064 4898061504 5007158112 5131302528 5291655732 5462354304 5469228072 5508508544 5841684464 5986519616 6173598354 6197072112 6250546368 6372746688 6467579228 6571895022 6676210816 6734834568 7055540976 7082368128 7292304096 7510737168 7696953792 7955240832 8231464472 8262762816 8762526696 8979779424 9260397531 9407387968 9559120032 9701368842 9723072128 9796123008 10014316224 10583311464 10938456144 11318263649 11683368928 11973039232 12347196708 12394144224 12501092736 12745493376 12935158456 13143790044 13469669136 14111081952 14552053263 14584608192 15021474336 15393907584 16462928944 16525525632 17525053392 17959558848 18520795062 18814775936 19118240064 19402737684 20028632448 21166622928 21876912288 22636527298 23366737856 24694393416 24788288448 25870316912 26287580088 26939338272 28222163904 29104106526 29169216384 30042948672 32925857888 33954790947 35050106784 35919117696 37041590124 38236480128 38805475368 42333245856 43753824576 45273054596 46733475712 49388786832 49576576896 51740633824 52575160176 53878676544 56444327808 58208213052 60085897344 65851715776 67909581894 70100213568 74083180248 77610950736 84666491712 87507649152 90546109192 98777573664 101864372841 103481267648 105150320352 107757353088 116416426104 131703431552 135819163788 140200427136 148166360496 155221901472 169332983424 181092218384 197555147328 203728745682 206962535296 210300640704 232832852208 271638327576 296332720992 310443802944 362184436768 395110294656 407457491364 420601281408 465665704416 543276655152 592665441984 620887605888 724368873536 814914982728 931331408832 1086553310304 1185330883968 1448737747072 1629829965456 1862662817664 2173106620608 3259659930912 4346213241216 6519319861824 13038639723648
- Sum of all divisors σ(n): 49199394816000
- Sum of proper divisors (its aliquot sum) s(n): 36160755092352
- 13038639723648 is an abundant number, because the sum of its proper divisors (36160755092352) is greater than itself. Its abundance is 23122115368704
Bases of 13038639723648
- Binary: 101111011011110010110111110100110100100000002
- Hexadecimal: 0xBDBCB7D3480
- Base-36: 4MDV9FZ40
Squares and roots of 13038639723648
- 13038639723648 squared (130386397236482) is 170006125843091593810427904
- 13038639723648 cubed (130386397236483) is 2216648625681234889730349553511187873792
-
The
square root of 13038639723648 is 3610905.6652934039 -
The
cube root of 13038639723648 is 23536.6199683013
Scales and comparisons
How big is 13038639723648?- 13,038,639,723,648 seconds is equal to 414,588 years, 21 weeks, 2 days, 23 hours, 40 minutes, 48 seconds.
-
To count from 1 to 13,038,639,723,648 would take you about one million, thirty-six thousand, four hundred seventy-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 13038639723648 cubic inches would be around 1961.4 feet tall.
Recreational maths with 13038639723648
- 13038639723648 backwards is 84632793683031
- 13038639723648 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13038639723648's digits is 63
- More coming soon!
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"Number 13038639723648 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 13038639723648 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13038639723648/
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The information we have on file for 13038639723648 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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