13042166140800
13,042,166,140,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 13042166140800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
13042166140800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13042166140800:
27 × 35 × 52 × 313 × 563
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 31 × 563)See below for interesting mathematical facts about the number 13042166140800 from the Numbermatics database.
Names of 13042166140800
- Cardinal: 13042166140800 can be written as Thirteen trillion, forty-two billion, one hundred sixty-six million, one hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30421661408 × 1013
Factors of 13042166140800
Divisors of 13042166140800
- 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 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 128 135 144 150 155 160 162 180 186 192 200 216 225 240 243 248 270 279 288 300 310 320 324 360 372 384 400 405 432 450 465 480 486 496 540 558 563 576 600 620 640 648 675 720 744 775 800 810 837 864 900 930 960 961 972 992 1080 1116 1126 1152 1200 1215 1240 1296 1350 1395 1440 1488 1550 1600 1620 1674 1689 1728 1800 1860 1920 1922 1944 1984 2025 2160 2232 2252 2325 2400 2430 2480 2511 2592 2700 2790 2815 2880 2883 2976 3100 3200 3240 3348 3378 3456 3600 3720 3844 3888 3968 4050 4185 4320 4464 4504 4650 4800 4805 4860 4960 5022 5067 5184 5400 5580 5630 5760 5766 5952 6075 6200 6480 6696 6756 6975 7200 7440 7533 7688 7776 8100 8370 8445 8640 8649 8928 9008 9300 9600 9610 9720 9920 10044 10134 10368 10800 11160 11260 11532 11904 12150 12400 12555 12960 13392 13512 13950 14075 14400 14415 14880 15066 15201 15376 15552 16200 16740 16890 17280 17298 17453 17856 18016 18600 19220 19440 19840 20088 20268 20925 21600 22320 22520 23064 24025 24300 24800 25110 25335 25920 25947 26784 27024 27900 28150 28800 28830 29760 29791 30132 30402 30752 31104 32400 33480 33780 34596 34906 35712 36032 37200 37665 38440 38880 40176 40536 41850 42225 43200 43245 44640 45040 45603 46128 48050 48600 49600 50220 50670 51840 51894 52359 53568 54048 55800 56300 57660 59520 59582 60264 60804 61504 62775 64800 66960 67560 69192 69812 72064 72075 74400 75330 76005 76880 77760 77841 80352 81072 83700 84450 86400 86490 87265 89280 89373 90080 91206 92256 96100 97200 99200 100440 101340 103788 104718 107136 108096 111600 112600 115320 119164 120528 121608 123008 125550 126675 129600 129735 133920 135120 136809 138384 139624 144150 148800 148955 150660 152010 153760 155520 155682 157077 160704 162144 167400 168900 172980 174530 178560 178746 180160 182412 184512 188325 192200 194400 200880 202680 207576 209436 216192 216225 223200 225200 228015 230640 233523 238328 241056 243216 251100 253350 259200 259470 261795 267840 268119 270240 273618 276768 279248 288300 297600 297910 301320 304020 307520 311364 314154 321408 324288 334800 337800 345960 349060 357492 360320 364824 369024 376650 380025 384400 388800 389205 401760 405360 415152 418872 432450 436325 446400 446865 450400 456030 461280 467046 471231 476656 482112 486432 502200 506700 518940 523590 535680 536238 540480 541043 547236 553536 558496 576600 595820 602640 608040 615040 622728 628308 648576 648675 669600 675600 684045 691920 698120 714984 729648 744775 753300 760050 768800 777600 778410 785385 803520 804357 810720 830304 837744 864900 872650 892800 893730 900800 912060 922560 934092 942462 953312 964224 972864 1004400 1013400 1037880 1047180 1072476 1080960 1082086 1094472 1107072 1116992 1140075 1153200 1167615 1191640 1205280 1216080 1245456 1256616 1297350 1308975 1339200 1340595 1351200 1368090 1383840 1396240 1413693 1429968 1459296 1489550 1506600 1520100 1537600 1556820 1570770 1607040 1608714 1621440 1623129 1660608 1675488 1729800 1745300 1787460 1801600 1824120 1845120 1868184 1884924 1906624 1945728 1946025 2008800 2026800 2075760 2094360 2144952 2164172 2188944 2233984 2234325 2280150 2306400 2335230 2356155 2383280 2410560 2413071 2432160 2490912 2513232 2594700 2617950 2678400 2681190 2702400 2705215 2736180 2767680 2792480 2827386 2859936 2918592 2979100 3013200 3040200 3075200 3113640 3141540 3217428 3242880 3246258 3321216 3350976 3420225 3459600 3490600 3574920 3648240 3736368 3769848 3813248 3892050 3926925 4017600 4021785 4053600 4151520 4188720 4241079 4289904 4328344 4377888 4468650 4560300 4612800 4670460 4712310 4766560 4821120 4826142 4864320 4869387 4981824 5026464 5189400 5235900 5362380 5404800 5410430 5472360 5535360 5584960 5654772 5719872 5837184 5838075 5958200 6026400 6080400 6227280 6283080 6434856 6492516 6701952 6702975 6840450 6919200 6981200 7068465 7149840 7239213 7296480 7472736 7539696 7784100 7853850 8035200 8043570 8107200 8115645 8303040 8377440 8482158 8579808 8656688 8755776 8937300 9120600 9225600 9340920 9424620 9533120 9652284 9728640 9738774 9963648 10052928 10378800 10471800 10724760 10820860 10944720 11169920 11309544 11439744 11676150 11780775 11916400 12052800 12065355 12160800 12454560 12566160 12869712 12985032 13405950 13526075 13680900 13838400 13962400 14136930 14299680 14478426 14592960 14608161 14945472 15079392 15568200 15707700 16087140 16214400 16231290 16606080 16754880 16772333 16964316 17159616 17313376 17511552 17874600 18241200 18681840 18849240 19066240 19304568 19477548 20105856 20108925 20757600 20943600 21205395 21449520 21641720 21889440 22619088 23352300 23561550 23832800 24105600 24130710 24321600 24346935 24909120 25132320 25739424 25970064 26811900 27052150 27361800 27676800 27924800 28273860 28599360 28956852 29185920 29216322 29890944 30158784 31136400 31415400 32174280 32462580 33509760 33544666 33928632 34319232 34626752 35342325 35749200 36196065 36482400 37363680 37698480 38609136 38955096 40217850 40578225 41515200 41887200 42410790 42899040 43283440 43778880 43824483 45238176 46704600 47123100 47665600 48261420 48643200 48693870 49818240 50264640 50316999 51478848 51940128 53623800 54104300 54723600 55849600 56547720 57198720 57913704 58432644 60317568 60326775 62272800 62830800 64348560 64925160 67089332 67857264 69253504 70684650 71498400 72392130 72964800 73040805 74727360 75396960 77218272 77910192 80435700 81156450 83030400 83774400 83861665 84821580 85798080 86566880 87557760 87648966 90476352 93409200 94246200 95331200 96522840 97387740 100529280 100633998 102957696 103880256 106026975 107247600 108208600 109447200 113095440 115827408 116865288 120653550 121734675 124545600 125661600 128697120 129850320 131473449 134178664 135714528 141369300 142996800 144784260 145929600 146081610 149454720 150793920 150950997 154436544 155820384 160871400 162312900 167548800 167723330 169643160 171596160 173133760 175297932 180952704 180980325 186818400 188492400 193045680 194775480 201267996 207760512 212053950 214495200 216417200 218894400 219122415 226190880 231654816 233730576 241307100 243469350 249091200 251323200 251584995 257394240 259700640 262946898 268357328 271429056 282738600 285993600 289568520 292163220 301587840 301901994 308873088 311640768 321742800 324625800 335446660 339286320 346267520 350595864 361960650 365204025 373636800 376984800 386091360 389550960 402535992 419308325 424107900 428990400 432834400 437788800 438244830 452381760 452852991 463309632 467461152 482614200 486938700 502646400 503169990 514788480 519401280 525893796 536714656 542858112 565477200 579137040 584326440 603803988 623281536 643485600 649251600 657367245 670893320 678572640 701191728 723921300 730408050 747273600 753969600 754754985 772182720 779101920 805071984 838616650 848215800 857980800 865668800 876489660 904763520 905705982 926619264 934922304 965228400 973877400 1006339980 1038802560 1051787592 1073429312 1095612075 1130954400 1158274080 1168652880 1207607976 1257924975 1286971200 1298503200 1314734490 1341786640 1357145280 1358558973 1402383456 1447842600 1460816100 1507939200 1509509970 1544365440 1558203840 1610143968 1677233300 1696431600 1731337600 1752979320 1811411964 1869844608 1930456800 1947754800 2012679960 2103575184 2146858624 2191224150 2261908800 2264264955 2316548160 2337305760 2415215952 2515849950 2573942400 2597006400 2629468980 2683573280 2714290560 2717117946 2804766912 2895685200 2921632200 3019019940 3116407680 3220287936 3286836225 3354466600 3392863200 3505958640 3622823928 3773774925 3860913600 3895509600 4025359920 4075676919 4207150368 4382448300 4523817600 4528529910 4633096320 4674611520 4830431904 5031699900 5194012800 5258937960 5367146560 5434235892 5609533824 5791370400 5843264400 6038039880 6440575872 6573672450 6708933200 6785726400 6792794865 7011917280 7245647856 7547549850 7721827200 7791019200 8050719840 8151353838 8414300736 8764896600 9057059820 9349223040 9660863808 10063399800 10517875920 10734293120 10868471784 11321324775 11582740800 11686528800 12076079760 13147344900 13417866400 13571452800 13585589730 14023834560 14491295712 15095099700 15582038400 16101439680 16302707676 16828601472 17529793200 18114119640 19321727616 20126799600 20378384595 21035751840 21736943568 22642649550 23165481600 23373057600 24152159520 26294689800 26835732800 27171179460 28047669120 28982591424 30190199400 32202879360 32605415352 33963974325 35059586400 36228239280 40253599200 40756769190 42071503680 43473887136 45285299100 46746115200 48304319040 52589379600 53671465600 54342358920 57965182848 60380398800 65210830704 67927948650 70119172800 72456478560 80507198400 81513538380 84143007360 86947774272 90570598200 96608638080 101891922975 105178759200 108684717840 120760797600 130421661408 135855897300 140238345600 144912957120 161014396800 163027076760 173895548544 181141196400 203783845950 210357518400 217369435680 241521595200 260843322816 271711794600 289825914240 326054153520 362282392800 407567691900 420715036800 434738871360 483043190400 521686645632 543423589200 652108307040 724564785600 815135383800 869477742720 1086847178400 1304216614080 1449129571200 1630270767600 2173694356800 2608433228160 3260541535200 4347388713600 6521083070400 13042166140800
- Sum of all divisors σ(n): 49958272465920
- Sum of proper divisors (its aliquot sum) s(n): 36916106325120
- 13042166140800 is an abundant number, because the sum of its proper divisors (36916106325120) is greater than itself. Its abundance is 23873940184320
Bases of 13042166140800
- Binary: 101111011100100111011010111000001111100000002
- Hexadecimal: 0xBDC9DAE0F80
- Base-36: 4MFHKZC00
Squares and roots of 13042166140800
- 13042166140800 squared (130421661408002) is 170098097644229965424640000
- 13042166140800 cubed (130421661408003) is 2218447649710068299549994502029312000000
-
The
square root of 13042166140800 is 3611393.9332064011 -
The
cube root of 13042166140800 is 23538.7416737487
Scales and comparisons
How big is 13042166140800?- 13,042,166,140,800 seconds is equal to 414,700 years, 28 weeks, 1 day.
-
To count from 1 to 13,042,166,140,800 would take you about one million, thirty-six thousand, seven hundred fifty-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 13042166140800 cubic inches would be around 1961.6 feet tall.
Recreational maths with 13042166140800
- 13042166140800 backwards is 00804166124031
- 13042166140800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13042166140800's digits is 36
- More coming soon!
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The information we have on file for 13042166140800 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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