12838351970400
12,838,351,970,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 12838351970400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
12838351970400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 12838351970400:
25 × 3 × 52 × 112 × 612 × 1092
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 61 × 61 × 109 × 109)See below for interesting mathematical facts about the number 12838351970400 from the Numbermatics database.
Names of 12838351970400
- Cardinal: 12838351970400 can be written as Twelve trillion, eight hundred thirty-eight billion, three hundred fifty-one million, nine hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.28383519704 × 1013
Factors of 12838351970400
Divisors of 12838351970400
- Number of divisors d(n): 972
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 61 66 75 80 88 96 100 109 110 120 121 122 132 150 160 165 176 183 200 218 220 240 242 244 264 275 300 305 327 330 352 363 366 400 436 440 480 484 488 528 545 550 600 605 610 654 660 671 726 732 800 825 872 880 915 968 976 1056 1090 1100 1199 1200 1210 1220 1308 1320 1342 1452 1464 1525 1635 1650 1744 1760 1815 1830 1936 1952 2013 2180 2200 2398 2400 2420 2440 2616 2640 2684 2725 2904 2928 3025 3050 3270 3300 3355 3488 3597 3630 3660 3721 3872 4026 4360 4400 4575 4796 4840 4880 5232 5280 5368 5450 5808 5856 5995 6050 6100 6540 6600 6649 6710 7194 7260 7320 7381 7442 8052 8175 8720 8800 9075 9150 9592 9680 9760 10065 10464 10736 10900 11163 11616 11881 11990 12100 12200 13080 13189 13200 13298 13420 14388 14520 14640 14762 14884 16104 16350 16775 17440 17985 18150 18300 18605 19184 19360 19947 20130 21472 21800 22143 22326 23762 23980 24200 24400 26160 26378 26400 26596 26840 28776 29040 29280 29524 29768 29975 32208 32700 33245 33550 35643 35970 36300 36600 36905 37210 38368 39567 39894 40260 40931 43600 44286 44652 47524 47960 48400 48800 50325 52320 52756 53192 53680 55815 57552 58080 59048 59405 59536 59950 64416 65400 65945 66490 67100 71286 71940 72600 73139 73200 73810 74420 79134 79788 80520 81862 87200 88572 89304 89925 93025 95048 95920 96800 99735 100650 105512 106384 107360 110715 111630 115104 118096 118810 119072 119900 122793 130691 130800 131890 132980 134200 142572 143880 145200 146278 146400 147620 148840 158268 159576 161040 163724 166225 177144 178215 178608 179850 184525 186050 190096 191840 197835 199470 201300 204655 211024 212768 219417 221430 223260 236192 237620 239800 245586 261382 261600 263780 265960 268400 279075 285144 287760 290400 292556 295240 297025 297680 316536 319152 322080 327448 329725 332450 354288 356430 357216 359700 365695 369050 372100 380192 392073 395670 398940 402600 405589 409310 422048 438834 442860 446520 450241 475240 479600 491172 498675 522764 527560 531920 536800 553575 558150 570288 575520 585112 590480 594050 595360 613965 633072 638304 653455 654896 659450 664900 708576 712860 719400 724741 731390 738100 744200 784146 791340 797880 804529 805200 811178 818620 877668 885720 891075 893040 900482 950480 959200 982344 989175 997350 1023275 1045528 1055120 1063840 1097085 1107150 1116300 1140576 1170224 1180960 1188100 1216767 1227930 1266144 1306910 1309792 1318900 1329800 1350723 1425720 1437601 1438800 1449482 1462780 1476200 1488400 1568292 1582680 1595760 1609058 1610400 1622356 1637240 1755336 1771440 1782150 1786080 1800964 1828475 1900960 1960365 1964688 1978350 1994700 2027945 2046550 2091056 2110240 2174223 2194170 2214300 2232600 2251205 2340448 2376200 2413587 2433534 2455860 2613820 2637800 2659600 2701446 2851440 2875202 2877600 2898964 2925560 2952400 2976800 3069825 3136584 3165360 3191520 3218116 3244712 3267275 3274480 3510672 3542880 3564300 3601928 3623705 3656950 3920730 3929376 3956700 3989400 4022645 4055890 4093100 4182112 4312803 4348446 4388340 4428600 4461479 4465200 4502410 4752400 4827174 4867068 4911720 5227640 5275600 5319200 5402892 5485425 5702880 5750404 5797928 5851120 5904800 6083835 6139650 6273168 6330720 6436232 6489424 6534550 6548960 6753615 7021344 7128600 7188005 7203856 7247410 7313900 7841460 7913400 7972151 7978800 8045290 8111780 8186200 8625606 8696892 8776680 8857200 8922958 8930400 9004820 9504800 9654348 9734136 9801825 9823440 10139725 10455280 10551200 10805784 10871115 10970850 11256025 11500808 11595856 11702240 12067935 12167670 12279300 12546336 12872464 12978848 13069100 13384437 13507230 14257200 14376010 14407712 14494820 14627800 15682920 15826800 15944302 15957600 16090580 16223560 16372400 17251212 17393784 17553360 17714400 17845916 18009640 18118525 19308696 19468272 19603650 19646880 20113225 20279450 20910560 21564015 21611568 21742230 21941700 22307395 22512050 23001616 23191712 23916453 24135870 24335340 24558600 25744928 26138200 26768874 27014460 28514400 28752020 28989640 29255600 30419175 31365840 31653600 31888604 32181160 32447120 32744800 33768075 34502424 34787568 35106720 35691832 35940025 36019280 36237050 38617392 38936544 39207300 39860755 40226450 40558900 43128030 43223136 43484460 43883400 44209201 44614790 45024100 46003232 47832906 48271740 48670680 49076269 49117200 52276400 53537748 54028920 54355575 57504040 57979280 58511200 60339675 60838350 62731680 63777208 64362320 64894240 66922185 67536150 69004848 69575136 71383664 71880050 72038560 72474100 77234784 78414600 79721510 80452900 81117800 86256060 86968920 87693661 87766800 88418402 89229580 90048200 95665812 96543480 97341360 98152538 98234400 104552800 107075496 107820075 108057840 108711150 111536975 115008080 115958560 119582265 120679350 121676700 127554416 128724640 132627603 133844370 135072300 138009696 142767328 143760100 144948200 147228807 156829200 159443020 160905800 162235600 172512120 173937840 175387322 175533600 176836804 178459160 180096400 191331624 193086960 194682720 196305076 199303775 214150992 215640150 216115680 217422300 221046005 223073950 230016160 239164530 241358700 243353400 245381345 255108832 263080983 265255206 267688740 270144600 287520200 289896400 294457614 313658400 318886040 321811600 324471200 334610925 345024240 347875680 350774644 353673608 356918320 360192800 382663248 386173920 392610152 398607550 428301984 431280300 434844600 438468305 442092010 446147900 478329060 482717400 486301211 486706800 490762690 526161966 530510412 535377480 540289200 575040400 579792800 588915228 597911325 637772080 643623200 663138015 669221850 690048480 701549288 707347216 713836640 736144035 765326496 785220304 797215100 862560600 869689200 876936610 884184020 892295800 956658120 965434800 972602422 973413600 981525380 1052323932 1061020824 1070754960 1080578400 1105230025 1150080800 1177830456 1195822650 1226906725 1275544160 1315404915 1326276030 1338443700 1403098576 1414694432 1458903633 1472288070 1570440608 1594430200 1725121200 1739378400 1753873220 1768368040 1784591600 1913316240 1930869600 1945204844 1963050760 2104647864 2122041648 2141509920 2192341525 2210460050 2355660912 2391645300 2431506055 2453813450 2630809830 2652552060 2676887400 2806197152 2917807266 2944576140 3188860400 3315690075 3450242400 3507746440 3536736080 3569183200 3680720175 3826632480 3890409688 3926101520 4209295728 4244083296 4384683050 4420920100 4711321824 4783290600 4863012110 4907626900 5261619660 5305104120 5349313321 5353774800 5835614532 5889152280 6377720800 6577024575 6631380150 7015492880 7073472160 7294518165 7361440350 7780819376 7852203040 8418591456 8769366100 8841840200 9566581200 9726024220 9815253800 10523239320 10610208240 10698626642 10707549600 11671229064 11778304560 12157530275 13154049150 13262760300 14030985760 14589036330 14722880700 15561638752 16047939963 17538732200 17683680400 19133162400 19452048440 19630507600 21046478640 21220416480 21397253284 23342458128 23556609120 24315060550 26308098300 26525520600 26746566605 29178072660 29445761400 32095879926 35077464400 35367360800 36472590825 38904096880 39261015200 42092957280 42794506568 46684916256 48630121100 52616196600 53051041200 53493133210 58356145320 58891522800 64191759852 70154928800 72945181650 77808193760 80239699815 85589013136 97260242200 105232393200 106102082400 106986266420 116712290640 117783045600 128383519704 133732833025 145890363300 160479399630 171178026272 194520484400 210464786400 213972532840 233424581280 256767039408 267465666050 291780726600 320958799260 389040968800 401198499075 427945065680 513534078816 534931332100 583561453200 641917598520 802396998150 855890131360 1069862664200 1167122906400 1283835197040 1604793996300 2139725328400 2567670394080 3209587992600 4279450656800 6419175985200 12838351970400
- Sum of all divisors σ(n): 47130887719188
- Sum of proper divisors (its aliquot sum) s(n): 34292535748788
- 12838351970400 is an abundant number, because the sum of its proper divisors (34292535748788) is greater than itself. Its abundance is 21454183778388
Bases of 12838351970400
- Binary: 101110101101001010010110100010100000011000002
- Hexadecimal: 0xBAD2968A060
- Base-36: 4JTUVABMO
Squares and roots of 12838351970400
- 12838351970400 squared (128383519704002) is 164823281315873562476160000
- 12838351970400 cubed (128383519704003) is 2116059298449438855613076239025664000000
-
The
square root of 12838351970400 is 3583064.6059483773 -
The
cube root of 12838351970400 is 23415.4814945009
Scales and comparisons
How big is 12838351970400?- 12,838,351,970,400 seconds is equal to 408,219 years, 45 weeks, 5 days, 16 hours, 40 minutes.
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To count from 1 to 12,838,351,970,400 would take you about one million, twenty thousand, five hundred forty-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 12838351970400 cubic inches would be around 1951.3 feet tall.
Recreational maths with 12838351970400
- 12838351970400 backwards is 00407915383821
- The number of decimal digits it has is: 14
- The sum of 12838351970400's digits is 51
- More coming soon!
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The information we have on file for 12838351970400 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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