13006413375840
13,006,413,375,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 13006413375840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13006413375840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13006413375840:
25 × 37 × 5 × 292 × 193 × 229
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 29 × 29 × 193 × 229)See below for interesting mathematical facts about the number 13006413375840 from the Numbermatics database.
Names of 13006413375840
- Cardinal: 13006413375840 can be written as Thirteen trillion, six billion, four hundred thirteen million, three hundred seventy-five thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.300641337584 × 1013
Factors of 13006413375840
Divisors of 13006413375840
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 72 80 81 87 90 96 108 116 120 135 144 145 160 162 174 180 193 216 229 232 240 243 261 270 288 290 324 348 360 386 405 432 435 458 464 480 486 522 540 579 580 648 687 696 720 729 772 783 810 841 864 870 916 928 965 972 1044 1080 1145 1158 1160 1215 1296 1305 1374 1392 1440 1458 1544 1566 1620 1682 1737 1740 1832 1930 1944 2061 2088 2160 2187 2290 2316 2320 2349 2430 2523 2592 2610 2748 2784 2895 2916 3088 3132 3240 3364 3435 3474 3480 3645 3664 3860 3888 3915 4122 4176 4205 4320 4374 4580 4632 4640 4698 4860 5046 5211 5220 5496 5597 5790 5832 6176 6183 6264 6480 6641 6728 6870 6948 6960 7047 7290 7328 7569 7720 7776 7830 8244 8352 8410 8685 8748 9160 9264 9396 9720 10092 10305 10422 10440 10935 10992 11194 11580 11664 11745 12366 12528 12615 12960 13282 13456 13740 13896 13920 14094 14580 15138 15440 15633 15660 16488 16791 16820 17370 17496 18320 18528 18549 18792 19440 19923 20184 20610 20844 20880 21141 21870 21984 22388 22707 23160 23328 23490 24732 25056 25230 26055 26564 26912 27480 27792 27985 28188 29160 30276 30880 30915 31266 31320 32976 33205 33582 33640 34740 34992 35235 36640 37098 37584 37845 38880 39846 40368 41220 41688 41760 42282 43740 44197 44776 45414 46320 46899 46980 49464 50373 50460 52110 53128 54960 55584 55647 55970 56376 58320 59769 60552 61830 62532 62640 63423 65952 66410 67164 67280 68121 69480 69984 70470 74196 75168 75690 78165 79692 80736 82440 83376 83955 84564 87480 88394 89552 90828 92640 92745 93798 93960 98928 99615 100746 100920 104220 105705 106256 109920 111294 111940 112752 113535 116640 119538 121104 123660 125064 125280 126846 132591 132820 134328 134560 136242 138960 140697 140940 148392 151119 151380 156330 159384 162313 164880 166752 166941 167910 169128 174960 176788 179104 179307 181656 185490 187596 187920 192589 197856 199230 201492 201840 204363 208440 211410 212512 220985 222588 223880 225504 227070 234495 239076 242208 247320 250128 251865 253692 265182 265640 268656 272484 277920 278235 281394 281880 296784 298845 302238 302760 312660 317115 318768 324626 329760 333882 335820 338256 340605 349920 353576 358614 363312 370980 375192 375840 385178 397773 398460 402984 403680 408726 416880 422091 422820 441970 445176 447760 453357 454140 468990 478152 486939 494640 500256 500823 503730 507384 530364 531280 537312 537921 544968 556470 562788 563760 577767 593568 597690 604476 605520 613089 625320 634230 637536 649252 662955 667764 671640 676512 681210 703485 707152 717228 726624 741960 750384 755595 770356 795546 796920 805968 811565 817452 833760 834705 844182 845640 883940 890352 895520 896535 906714 908280 937980 956304 962945 973878 989280 1001646 1007460 1014768 1021815 1060728 1062560 1075842 1089936 1112940 1125576 1127520 1155534 1193319 1195380 1208952 1211040 1226178 1250640 1268460 1281713 1298504 1325910 1335528 1343280 1360071 1362420 1406970 1414304 1434456 1460817 1483920 1500768 1511190 1540712 1591092 1593840 1611936 1613763 1623130 1634904 1669410 1688364 1691280 1733301 1767880 1780704 1793070 1813428 1816560 1839267 1875960 1912608 1925890 1947756 1988865 2003292 2014920 2029536 2043630 2110455 2121456 2151684 2179872 2225880 2251152 2266785 2311068 2386638 2390760 2417904 2434695 2452356 2501280 2504115 2536920 2563426 2597008 2651820 2671056 2686560 2689605 2720142 2724840 2813940 2868912 2888835 2921634 2967840 3022380 3065445 3081424 3182184 3187680 3227526 3246260 3269808 3338820 3376728 3382560 3466602 3535760 3579957 3586140 3626856 3633120 3678534 3751920 3845139 3851780 3895512 3977730 4006584 4029840 4080213 4087260 4220910 4242912 4303368 4382451 4451760 4502304 4533570 4622136 4773276 4781520 4835808 4841289 4869390 4904712 5008230 5073840 5126852 5194016 5199903 5303640 5342112 5379210 5440284 5449680 5627880 5737824 5777670 5843268 5966595 6044760 6130890 6162848 6364368 6408565 6455052 6492520 6539616 6677640 6753456 6800355 6933204 7071520 7159914 7172280 7253712 7304085 7357068 7503840 7690278 7703560 7791024 7955460 8013168 8059680 8068815 8160426 8174520 8441820 8606736 8666505 8764902 8903520 9067140 9196335 9244272 9546552 9563040 9682578 9738780 9809424 10016460 10147680 10253704 10399806 10607280 10739871 10758420 10880568 10899360 11255760 11535417 11555340 11686536 11933190 12089520 12240639 12261780 12728736 12817130 12910104 12985040 13147353 13355280 13506912 13600710 13866408 14319828 14344560 14507424 14523867 14608170 14714136 15380556 15407120 15582048 15599709 15910920 16026336 16137630 16320852 16349040 16883640 17213472 17333010 17529804 17899785 18134280 18392670 18488544 19093104 19225695 19365156 19477560 19618848 20032920 20401065 20507408 20799612 21214560 21479742 21516840 21761136 21912255 22511520 23070834 23110680 23373072 23866380 24179040 24206445 24481278 24523560 25634260 25820208 25970080 25999515 26294706 26710560 27201420 27732816 28639656 28689120 29047734 29216340 29428272 30761112 30814240 31199418 31821840 32219613 32275260 32641704 32698080 33767280 34606251 34666020 35059608 35799570 36268560 36785340 37169677 38186208 38451390 38730312 38955120 39442059 40065840 40802130 41014816 41599224 42959484 43033680 43522272 43824510 46141668 46221360 46746144 46799127 47732760 48412890 48962556 49047120 51268520 51640416 51999030 52589412 53699355 54402840 55465632 57279312 57677085 58095468 58432680 58856544 61203195 61522224 62398836 63643680 64439226 64550520 65283408 65736765 67534560 69212502 69332040 70119216 71599140 72537120 72619335 73570680 74339354 76902780 77460624 77910240 77998545 78884118 80131680 81604260 83198448 85918968 86067360 87649020 92283336 92442720 93598254 95465520 96658839 96825780 97925112 98094240 102537040 103818753 103998060 105178824 107398710 108805680 111509031 114558624 115354170 116190936 116865360 118326177 122406390 123044448 124797672 128878452 129101040 130566816 131473530 138425004 138664080 140238432 140397381 143198280 145238670 147141360 148678708 153805560 154921248 155997090 157768236 161098065 163208520 166396896 171837936 173031255 175298040 184566672 185848385 187196508 190931040 193317678 193651560 195850224 197210295 205074080 207637506 207996120 210357648 214797420 217611360 223018062 230708340 232381872 233730720 233995635 236652354 244812780 249595344 257756904 258202080 262947060 276850008 277328160 280794762 286396560 290477340 294282720 297357416 307611120 311456259 311994180 315536472 322196130 326417040 334527093 343675872 346062510 350596080 354978531 369133344 371696770 374393016 386635356 387303120 391700448 394420590 415275012 415992240 420715296 421192143 429594840 446036124 461416680 464763744 467991270 473304708 483294195 489625560 499190688 515513808 519093765 525894120 553700016 557545155 561589524 572793120 580954680 591630885 594714832 615222240 622912518 623988360 631072944 644392260 652834080 669054186 692125020 701192160 701986905 709957062 743393540 748786032 773270712 774606240 788841180 830550024 831984480 842384286 859189680 892072248 922833360 934368777 935982540 946609416 966588390 979251120 1003581279 1031027616 1038187530 1051788240 1107400032 1115090310 1123179048 1161909360 1183261770 1189429664 1245825036 1247976720 1262145888 1288784520 1338108372 1384250040 1403973810 1419914124 1486787080 1497572064 1546541424 1557281295 1577682360 1661100048 1672635465 1684768572 1718379360 1774892655 1784144496 1845666720 1868737554 1871965080 1893218832 1933176780 1958502240 2007162558 2076375060 2103576480 2105960715 2230180620 2246358096 2323818720 2366523540 2491650072 2495953440 2577569040 2676216744 2768500080 2803106331 2807947620 2839828248 2973574160 3010743837 3093082848 3114562590 3155364720 3322200096 3345270930 3369537144 3549785310 3568288992 3737475108 3743930160 3786437664 3866353560 4014325116 4152750120 4211921430 4460361240 4492716192 4671843885 4733047080 4983300144 5017906395 5155138080 5352433488 5537000160 5606212662 5615895240 5679656496 5947148320 6021487674 6229125180 6310729440 6690541860 6739074288 7099570620 7474950216 7487860320 7732707120 8028650232 8305500240 8423842860 8920722480 9032231511 9343687770 9466094160 9966600288 10035812790 10704866976 11212425324 11231790480 11359312992 12042975348 12458250360 13381083720 13478148576 14015531655 14199141240 14949900432 15053719185 15465414240 16057300464 16611000480 16847685720 17841444960 18064463022 18687375540 18932188320 20071625580 22424850648 22463580960 24085950696 24916500720 26762167440 27096694533 28031063310 28398282480 29899800864 30107438370 32114600928 33695371440 36128926044 37374751080 40143251160 44849701296 45161157555 48171901392 49833001440 53524334880 54193389066 56062126620 56796564960 60214876740 67390742880 72257852088 74749502160 80286502320 81290083599 89699402592 90322315110 96343802784 108386778132 112124253240 120429753480 135483472665 144515704176 149499004320 160573004640 162580167198 180644630220 216773556264 224248506480 240859506960 270966945330 289031408352 325160334396 361289260440 406450417995 433547112528 448497012960 481719013920 541933890660 650320668792 722578520880 812900835990 867094225056 1083867781320 1300641337584 1445157041760 1625801671980 2167735562640 2601282675168 3251603343960 4335471125280 6503206687920 13006413375840
- Sum of all divisors σ(n): 48185166556800
- Sum of proper divisors (its aliquot sum) s(n): 35178753180960
- 13006413375840 is an abundant number, because the sum of its proper divisors (35178753180960) is greater than itself. Its abundance is 22172339805120
Bases of 13006413375840
- Binary: 101111010100010010101010011000101001011000002
- Hexadecimal: 0xBD44AA62960
- Base-36: 4LZ2API00
Squares and roots of 13006413375840
- 13006413375840 squared (130064133758402) is 169166788903229665095705600
- 13006413375840 cubed (130064133758403) is 2200253185938867999476268889582792704000
-
The
square root of 13006413375840 is 3606440.5410099305 -
The
cube root of 13006413375840 is 23517.2129064179
Scales and comparisons
How big is 13006413375840?- 13,006,413,375,840 seconds is equal to 413,563 years, 37 weeks, 20 hours, 24 minutes.
-
To count from 1 to 13,006,413,375,840 would take you about one million, thirty-three thousand, nine hundred nine 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 13006413375840 cubic inches would be around 1959.8 feet tall.
Recreational maths with 13006413375840
- 13006413375840 backwards is 04857331460031
- 13006413375840 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13006413375840's digits is 45
- More coming soon!
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The information we have on file for 13006413375840 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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