12938465264000
12,938,465,264,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12938465264000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
12938465264000 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 12938465264000:
27 × 53 × 172 × 192 × 23 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 19 × 19 × 23 × 337)See below for interesting mathematical facts about the number 12938465264000 from the Numbermatics database.
Names of 12938465264000
- Cardinal: 12938465264000 can be written as Twelve trillion, nine hundred thirty-eight billion, four hundred sixty-five million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.2938465264 × 1013
Factors of 12938465264000
Divisors of 12938465264000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 23 25 32 34 38 40 46 50 64 68 76 80 85 92 95 100 115 125 128 136 152 160 170 184 190 200 230 250 272 289 304 320 323 337 340 361 368 380 391 400 425 437 460 475 500 544 575 578 608 640 646 674 680 722 736 760 782 800 850 874 920 950 1000 1088 1150 1156 1216 1292 1348 1360 1444 1445 1472 1520 1564 1600 1615 1685 1700 1748 1805 1840 1900 1955 2000 2125 2176 2185 2300 2312 2375 2432 2584 2696 2720 2875 2888 2890 2944 3040 3128 3200 3230 3370 3400 3496 3610 3680 3800 3910 4000 4250 4370 4600 4624 4750 5168 5392 5440 5491 5729 5750 5776 5780 6080 6137 6256 6403 6460 6647 6740 6800 6992 7220 7225 7360 7429 7600 7751 7820 8000 8075 8303 8425 8500 8740 9025 9200 9248 9500 9775 10336 10784 10880 10925 10982 11458 11500 11552 11560 12160 12274 12512 12806 12920 13294 13480 13600 13984 14440 14450 14720 14858 15200 15502 15640 16000 16150 16606 16850 17000 17480 18050 18400 18496 19000 19550 20672 21568 21850 21964 22916 23000 23104 23120 24548 25024 25612 25840 26588 26960 27200 27455 27968 28645 28880 28900 29716 30400 30685 31004 31280 32015 32300 33212 33235 33700 34000 34960 36100 36125 36800 36992 37145 38000 38755 39100 40375 41344 41515 42125 43136 43700 43928 45125 45832 46000 46208 46240 48875 49096 50048 51224 51680 53176 53920 54400 54625 54910 55936 57290 57760 57800 59432 60800 61370 62008 62560 64030 64600 66424 66470 67400 68000 69920 72200 72250 73600 74290 76000 77510 78200 80750 83030 84250 87400 87856 90250 91664 92000 92480 97393 97750 98192 102448 103360 104329 106352 107840 108851 109250 109820 114580 115520 115600 118864 121657 122740 124016 125120 126293 128060 129200 131767 132848 132940 134800 136000 137275 139840 141151 143225 144400 144500 147269 148580 152000 153425 155020 156400 160075 161500 166060 166175 168500 174800 175712 180500 183328 184000 184960 185725 193775 194786 195500 196384 204896 206720 207575 208658 212704 215680 217702 218500 219640 229160 231040 231200 237728 243314 245480 248032 250240 252586 256120 258400 263534 265696 265880 269600 272000 274550 279680 282302 286450 288800 289000 294538 297160 304000 306850 310040 312800 320150 323000 332120 332350 337000 349600 351424 361000 366656 368000 371450 387550 389572 391000 392768 409792 415150 417316 425408 435404 437000 439280 458320 462400 475456 486628 486965 490960 496064 505172 512240 516800 521645 527068 531392 531760 539200 544255 549100 564604 572900 577600 578000 589076 594320 608285 613700 620080 625600 631465 640300 646000 658835 664240 664700 674000 686375 699200 702848 705755 716125 722000 733312 736345 742900 767125 775100 779144 782000 785536 800375 819584 830300 830875 834632 850816 870808 874000 878560 916640 924800 928625 950912 968875 973256 973930 981920 992128 1010344 1024480 1033600 1037875 1043290 1054136 1062784 1063520 1078400 1088510 1098200 1129208 1145800 1155200 1156000 1178152 1188640 1216570 1227400 1240160 1251200 1262930 1280600 1292000 1317670 1328480 1329400 1348000 1372750 1398400 1411510 1432250 1444000 1472690 1485800 1534250 1550200 1558288 1564000 1600750 1660600 1661750 1669264 1741616 1748000 1757120 1833280 1850467 1857250 1937750 1946512 1947860 1963840 2020688 2048960 2068169 2075750 2086580 2108272 2127040 2177020 2196400 2240039 2258416 2291600 2312000 2356304 2377280 2399567 2433140 2434825 2454800 2480320 2503573 2525860 2561200 2584000 2608225 2635340 2656960 2658800 2696000 2721275 2745500 2798111 2823020 2864500 2888000 2945380 2971600 3041425 3068500 3100400 3116576 3128000 3157325 3201500 3294175 3321200 3323500 3338528 3483232 3496000 3514240 3528775 3666560 3681725 3700934 3714500 3875500 3893024 3895720 3927680 4041376 4097920 4136338 4151500 4173160 4216544 4254080 4354040 4392800 4480078 4516832 4583200 4624000 4712608 4754560 4799134 4866280 4869650 4909600 4960640 5007146 5051720 5122400 5168000 5216450 5270680 5313920 5317600 5392000 5442550 5491000 5596222 5646040 5729000 5776000 5890760 5943200 6082850 6137000 6200800 6233152 6256000 6314650 6403000 6588350 6642400 6647000 6677056 6966464 6992000 7057550 7363450 7401868 7429000 7751000 7786048 7791440 8082752 8272676 8303000 8346320 8433088 8708080 8785600 8960156 9033664 9166400 9252335 9425216 9598268 9732560 9739300 9819200 10014292 10103440 10244800 10340845 10432900 10541360 10635200 10885100 10982000 11192444 11200195 11292080 11458000 11781520 11886400 11997835 12165700 12174125 12274000 12401600 12466304 12517865 12629300 12806000 13041125 13176700 13284800 13294000 13354112 13606375 13932928 13990555 14115100 14726900 14803736 14858000 15207125 15502000 15572096 15582880 15786625 16165504 16470875 16545352 16606000 16692640 16866176 17416160 17571200 17643875 17920312 18067328 18332800 18408625 18504670 18850432 19196536 19465120 19478600 19638400 20028584 20206880 20489600 20681690 20865800 21082720 21270400 21770200 21964000 22384888 22400390 22584160 22916000 23563040 23772800 23995670 24331400 24348250 24548000 24803200 25035730 25258600 25612000 26082250 26353400 26569600 26588000 27212750 27981110 28230200 29453800 29607472 29716000 30414250 31004000 31165760 31573250 32941750 33090704 33212000 33385280 34832320 35158873 35287750 35840624 36817250 37009340 38393072 38930240 38957200 40057168 40413760 41363380 41731600 42165440 42560741 43540400 43928000 44769776 44800780 45168320 45832000 46261675 47126080 47567887 47991340 48662800 48696500 49096000 50071460 50517200 51224000 51704225 52164500 52706800 53176000 54425500 55962220 56000975 56460400 58907600 59214944 59432000 59989175 60828500 62008000 62331520 62589325 63146500 65883500 66181408 66424000 66770560 69664640 69952775 70317746 70575500 71681248 73634500 74018680 76786144 77860480 77914400 80114336 80827520 82726760 83463200 84330880 85121482 87080800 87856000 89539552 89601560 90336640 91664000 92523350 94252160 95135774 95982680 97325600 97393000 98192000 100142920 101034400 102448000 103408450 104329000 105413600 106352000 108851000 111924440 112001950 112920800 117815200 118429888 118864000 119978350 121657000 124016000 125178650 126293000 131767000 132362816 132848000 139905550 140635492 141151000 143362496 147269000 148037360 153572288 155828800 160228672 165453520 166926400 170242964 174161600 175794365 179079104 179203120 185046700 190271548 191965360 194651200 194786000 200285840 202068800 206816900 208658000 210827200 212803705 217702000 223848880 224003900 225841600 231308375 235630400 236859776 237839435 239956700 243314000 250357300 252586000 258521125 263534000 264725632 279811100 280004875 281270984 282302000 286724992 294538000 296074720 299945875 307144576 311657600 312946625 320457344 330907040 333852800 340485928 348323200 349763875 351588730 358158208 358406240 370093400 380543096 383930720 389302400 389572000 400571680 404137600 413633800 417316000 421654400 425607410 435404000 447697760 448007800 451683200 462616750 471260800 475678870 479913400 486628000 500714600 505172000 517042250 527068000 559622200 560009750 562541968 564604000 589076000 592149440 599891750 625893250 661814080 680971856 699527750 703177460 716812480 740186800 761086192 767861440 779144000 801143360 808654079 827267600 834632000 851214820 870808000 878971825 895395520 896015600 925233500 951357740 959826800 973256000 1001429200 1010344000 1034084500 1054136000 1064018525 1119244400 1120019500 1125083936 1129208000 1178152000 1184298880 1189197175 1199783500 1251786500 1323628160 1361943712 1399055500 1406354920 1433624960 1480373600 1522172384 1535722880 1558288000 1602286720 1617308158 1654535200 1669264000 1702429640 1741616000 1757943650 1790791040 1792031200 1850467000 1902715480 1919653600 1946512000 2002858400 2020688000 2068169000 2108272000 2128037050 2238488800 2240039000 2250167872 2258416000 2356304000 2378394350 2399567000 2503573000 2723887424 2798111000 2812709840 2960747200 3044344768 3234616316 3309070400 3404859280 3515887300 3584062400 3700934000 3805430960 3839307200 4005716800 4043270395 4136338000 4256074100 4394859125 4476977600 4480078000 4500335744 4756788700 4799134000 5007146000 5320092625 5447774848 5596222000 5625419680 5921494400 5945985875 6088689536 6469232632 6618140800 6809718560 7031774600 7168124800 7401868000 7610861920 7678614400 8011433600 8086540790 8272676000 8512148200 8789718250 8953955200 8960156000 9513577400 9598268000 10014292000 10640185250 11192444000 11250839360 11891971750 12938465264 13619437120 14063549200 14803736000 15221723840 16173081580 16545352000 17024296400 17579436500 17920312000 19027154800 19196536000 20028584000 20216351975 21280370500 22384888000 22501678720 23783943500 25876930528 27238874240 28127098400 29607472000 30443447680 32346163160 33090704000 34048592800 35158873000 35840624000 38054309600 38393072000 40057168000 40432703950 42560741000 44769776000 47567887000 51753861056 56254196800 64692326320 68097185600 70317746000 76108619200 80865407900 85121482000 95135774000 101081759875 103507722112 112508393600 129384652640 136194371200 140635492000 152217238400 161730815800 170242964000 190271548000 202163519750 258769305280 281270984000 323461631600 340485928000 380543096000 404327039500 517538610560 562541968000 646923263200 680971856000 761086192000 808654079000 1293846526400 1617308158000 2587693052800 3234616316000 6469232632000 12938465264000
- Sum of all divisors σ(n): 37744708173120
- Sum of proper divisors (its aliquot sum) s(n): 24806242909120
- 12938465264000 is an abundant number, because the sum of its proper divisors (24806242909120) is greater than itself. Its abundance is 11867777645120
Bases of 12938465264000
- Binary: 101111000100011110001010000001000001100000002
- Hexadecimal: 0xBC478A04180
- Base-36: 4L3UK5NCW
Squares and roots of 12938465264000
- 12938465264000 squared (129384652640002) is 167403883387734589696000000
- 12938465264000 cubed (129384652640003) is 2165949330270910632432988319744000000000
-
The
square root of 12938465264000 is 3597007.8209534101 -
The
cube root of 12938465264000 is 23476.1885045391
Scales and comparisons
How big is 12938465264000?- 12,938,465,264,000 seconds is equal to 411,403 years, 9 weeks, 8 hours, 53 minutes, 20 seconds.
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To count from 1 to 12,938,465,264,000 would take you about one million, twenty-eight thousand, five hundred seven 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 12938465264000 cubic inches would be around 1956.3 feet tall.
Recreational maths with 12938465264000
- 12938465264000 backwards is 00046256483921
- 12938465264000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12938465264000's digits is 50
- More coming soon!
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The information we have on file for 12938465264000 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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