13488106428160
13,488,106,428,160 is an even composite number composed of six prime numbers multiplied together.
What does the number 13488106428160 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13488106428160 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 13488106428160:
28 × 5 × 7 × 133 × 23 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 13 × 23 × 31 × 31 × 31)See below for interesting mathematical facts about the number 13488106428160 from the Numbermatics database.
Names of 13488106428160
- Cardinal: 13488106428160 can be written as Thirteen trillion, four hundred eighty-eight billion, one hundred six million, four hundred twenty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.348810642816 × 1013
Factors of 13488106428160
Divisors of 13488106428160
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 26 28 31 32 35 40 46 52 56 62 64 65 70 80 91 92 104 112 115 124 128 130 140 155 160 161 169 182 184 208 217 224 230 248 256 260 280 299 310 320 322 338 364 368 403 416 434 448 455 460 496 520 560 598 620 640 644 676 713 728 736 805 806 832 845 868 896 910 920 961 992 1040 1085 1120 1183 1196 1240 1280 1288 1352 1426 1456 1472 1495 1610 1612 1664 1690 1736 1792 1820 1840 1922 1984 2015 2080 2093 2170 2197 2240 2366 2392 2480 2576 2704 2821 2852 2912 2944 2990 3220 3224 3328 3380 3472 3565 3640 3680 3844 3887 3968 4030 4160 4186 4340 4394 4480 4732 4784 4805 4960 4991 5152 5239 5408 5642 5704 5824 5888 5915 5980 6440 6448 6727 6760 6944 7130 7280 7360 7688 7774 7936 8060 8320 8372 8680 8788 8960 9269 9464 9568 9610 9920 9982 10304 10465 10478 10816 10985 11284 11408 11648 11830 11960 12493 12880 12896 13454 13520 13888 14105 14260 14560 14720 15376 15379 15548 16120 16640 16744 17360 17576 18538 18928 19136 19220 19435 19840 19964 20608 20930 20956 21632 21970 22103 22568 22816 23296 23660 23920 24955 24986 25760 25792 26195 26908 27040 27209 27776 28210 28520 29120 29440 29791 30752 30758 31096 32240 33488 33635 34720 35152 36673 37076 37856 38272 38440 38870 39680 39928 41216 41860 41912 43264 43940 44206 45136 45632 46345 47320 47840 49910 49972 50531 51520 51584 52390 53816 54080 54418 55552 56420 57040 58240 59582 61504 61516 62192 62465 64480 64883 66976 67270 68107 69440 70304 73346 74152 75712 76544 76880 76895 77740 79856 83720 83824 87451 87880 88412 90272 91264 92690 94640 95680 99820 99944 101062 103040 103168 104780 107632 108160 108836 110515 112840 114080 116480 119164 120497 123008 123032 124384 124930 128960 129766 133952 134540 136045 136214 138880 140608 146692 148304 148955 151424 153760 153790 154721 155480 159712 162409 167440 167648 174902 175760 176824 180544 182528 183365 185380 189280 191360 199640 199888 202124 206080 208537 209560 215264 216320 217672 221030 225680 228160 238328 240994 246016 246064 248768 249860 252655 257920 259532 267904 269080 272090 272428 277760 281216 287339 293384 296608 297910 302848 307520 307580 309442 310960 319424 324415 324818 334880 335296 340535 349804 351520 353648 353717 361088 366730 370760 378560 382720 387283 399280 399776 404248 417074 419120 430528 435344 437255 442060 451360 456320 476656 476749 481988 492128 497536 499720 505310 515840 519064 535808 538160 544180 544856 562432 574678 586768 593216 595820 602485 615040 615160 618884 621920 638848 648830 649636 669760 670592 681070 685193 699608 703040 707296 707434 722176 733460 741520 757120 773605 774566 798560 799552 808496 812045 834148 838240 843479 861056 870688 874510 884120 902720 912640 953312 953498 963976 984256 995072 999440 1010620 1038128 1042685 1076320 1088360 1089712 1136863 1149356 1173536 1186432 1191640 1204970 1230080 1230320 1237768 1243840 1277696 1297660 1299272 1339520 1341184 1362140 1370386 1399216 1406080 1414592 1414868 1436695 1466920 1483040 1514240 1547210 1549132 1566461 1597120 1599104 1616992 1624090 1668296 1676480 1686958 1722112 1741376 1749020 1768240 1768585 1805440 1906624 1906996 1927952 1936415 1968512 1998880 2011373 2021240 2076256 2085370 2111317 2152640 2176720 2179424 2273726 2298712 2347072 2372864 2383280 2383745 2409940 2460640 2475536 2487680 2595320 2598544 2679040 2710981 2724280 2740772 2798432 2812160 2829184 2829736 2873390 2933840 2966080 3094420 3098264 3132922 3194240 3198208 3233984 3248180 3336592 3352960 3373916 3425965 3482752 3498040 3536480 3537170 3610880 3735407 3813248 3813992 3855904 3872830 3937024 3997760 4022746 4042480 4152512 4170740 4217395 4222634 4305280 4353440 4358848 4547452 4597424 4694144 4766560 4767490 4796351 4819880 4921280 4951072 4975360 5034679 5190640 5197088 5421962 5448560 5481544 5596864 5658368 5659472 5684315 5746780 5867680 5932160 6188840 6196528 6265844 6388480 6467968 6496360 6673184 6705920 6747832 6851930 6965504 6996080 7072960 7074340 7470814 7626496 7627984 7711808 7745660 7832305 7995520 8045492 8084960 8305024 8341480 8434790 8445268 8610560 8706880 8717696 8907509 9094904 9194848 9388288 9533120 9534980 9592702 9639760 9842560 9902144 10056865 10069358 10381280 10394176 10556585 10843924 10897120 10963088 10965227 11193728 11318944 11368630 11493560 11735360 11864320 12377680 12393056 12531688 12935936 12992720 13346368 13495664 13554905 13703860 13992160 14145920 14148680 14779219 14941628 15255968 15423616 15491320 15664610 15991040 16090984 16169920 16610048 16682960 16869580 16890536 17413760 17435392 17815018 18189808 18389696 18677035 19066240 19069960 19185404 19279520 19685120 19804288 20113730 20138716 20762560 20788352 21113170 21687848 21794240 21926176 21930454 22387456 22637888 22737260 22987120 23470720 23981755 24755360 24786112 25063376 25173395 25985440 26147849 26692736 26991328 27109810 27407720 27984320 28291840 28297360 29558438 29883256 30511936 30847232 30982640 31329220 32181968 32339840 33365920 33739160 33781072 34827520 35242753 35630036 36379616 36779392 37354070 38132480 38139920 38370808 38559040 39608576 40227460 40277432 41525120 41576704 42226340 43375696 43588480 43852352 43860908 44537545 45275776 45474520 45974240 46941440 47963510 48560291 49510720 49572224 50126752 50346790 51970880 52295698 53385472 53982656 54219620 54815440 54826135 55968640 56594720 59116876 59766512 61023872 61965280 62352563 62658440 64363936 64679680 65450827 66731840 67478320 67562144 70485506 71260072 72759232 73558784 73896095 74708140 76279840 76741616 77118080 80454920 80554864 83050240 84452680 86751392 87176960 87704704 87721816 89075090 90551552 90949040 91948480 95927020 97120582 99021440 99144448 100253504 100693580 103941760 104591396 107965312 108439240 109630880 109652270 111937280 113189440 115797617 118233752 119533024 122047744 123930560 124705126 125316880 128727872 130739245 130901654 133463680 134956640 135124288 140971012 142520144 145518464 147792190 149416280 152559680 153483232 154236160 160909840 161109728 168905360 173502784 175409408 175443632 176213765 178150180 181898080 183896960 191854040 194241164 198042880 200507008 201387160 207883520 209182792 215930624 216878480 219261760 219304540 226378880 231595234 236467504 239066048 242801455 247861120 249410252 250633760 257455744 261478490 261803308 266927360 269913280 270248576 281942024 285040288 291036928 295584380 298832560 305119360 306966464 311762815 321819680 322219456 327254135 337810720 339922037 347005568 350887264 352427530 356300360 363796160 367793920 383708080 388482328 401014016 402774320 418365584 433756960 438523520 438609080 452757760 458155789 463190468 472935008 478132096 485602910 495722240 498820504 501267520 514911488 522956980 523606616 539826560 540497152 563884048 570080576 578988085 591168760 597665120 610238720 613932928 623525630 643639360 644438912 654508270 675621440 679844074 694011136 701774528 704855060 712600720 727592320 767416160 776964656 805548640 810583319 836731168 867513920 877047040 877218160 916311578 926380936 945870016 956264192 971205820 997641008 1002535040 1045913960 1047213232 1079653120 1127768096 1140161152 1157976170 1182337520 1195330240 1227865856 1247051260 1287278720 1288877824 1309016540 1351242880 1359688148 1403549056 1409710120 1425201440 1455184640 1505369021 1534832320 1553929312 1611097280 1621166638 1673462336 1699610185 1735027840 1754436320 1832623156 1852761872 1891740032 1942411640 1995282016 2005070080 2091827920 2094426464 2255536192 2280322304 2290778945 2315952340 2364675040 2390660480 2494102520 2574557440 2618033080 2702485760 2719376296 2807098112 2819420240 2850402880 3010738042 3069664640 3107858624 3222194560 3242333276 3346924672 3399220370 3470055680 3508872640 3665246312 3705523744 3783480064 3884823280 3990564032 4052916595 4183655840 4188852928 4511072384 4581557890 4631904680 4729350080 4781320960 4988205040 5236066160 5438752592 5638840480 5700805760 6021476084 6139329280 6215717248 6444389120 6484666552 6693849344 6798440740 7017745280 7330492624 7411047488 7526845105 7769646560 7981128064 8105833190 8367311680 8377705856 9022144768 9163115780 9263809360 9458700160 9976410080 10472132320 10537583147 10877505184 11277680960 11401611520 12042952168 12431434496 12969333104 13596881480 14035490560 14660985248 14822094976 15053690210 15539293120 15962256128 16211666380 16734623360 16755411712 18326231560 18527618720 18917400320 19952820160 20944264640 21075166294 21755010368 22555361920 24085904336 25938666208 27193762960 29321970496 29644189952 30107380420 31078586240 32423332760 33469246720 36652463120 37055237440 39905640320 41888529280 42150332588 43510020736 45110723840 48171808672 51877332416 52687915735 54387525920 58643940992 60214760840 62157172480 64846665520 73304926240 74110474880 79811280640 83777058560 84300665176 87020041472 96343617344 103754664832 105375831470 108775051840 117287881984 120429521680 129693331040 146609852480 148220949760 168601330352 192687234688 207509329664 210751662940 217550103680 240859043360 259386662080 293219704960 337202660704 385374469376 421503325880 435100207360 481718086720 518773324160 586439409920 674405321408 843006651760 963436173440 1037546648320 1348810642816 1686013303520 1926872346880 2697621285632 3372026607040 6744053214080 13488106428160
- Sum of all divisors σ(n): 43129595658240
- Sum of proper divisors (its aliquot sum) s(n): 29641489230080
- 13488106428160 is an abundant number, because the sum of its proper divisors (29641489230080) is greater than itself. Its abundance is 16153382801920
Bases of 13488106428160
- Binary: 110001000100011100011100101011010111000000002
- Hexadecimal: 0xC4471CAD700
- Base-36: 4S4CMBBWG
Squares and roots of 13488106428160
- 13488106428160 squared (134881064281602) is 181929015017371113240985600
- 13488106428160 cubed (134881064281603) is 2453877916924620486570033162533994496000
-
The
square root of 13488106428160 is 3672615.7474149131 -
The
cube root of 13488106428160 is 23804.0211811573
Scales and comparisons
How big is 13488106428160?- 13,488,106,428,160 seconds is equal to 428,880 years, 3 weeks, 1 day, 22 hours, 2 minutes, 40 seconds.
-
To count from 1 to 13,488,106,428,160 would take you about one million, seventy-two thousand, two hundred 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 13488106428160 cubic inches would be around 1983.7 feet tall.
Recreational maths with 13488106428160
- 13488106428160 backwards is 06182460188431
- 13488106428160 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13488106428160's digits is 52
- More coming soon!
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The information we have on file for 13488106428160 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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