12938632536960
12,938,632,536,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 12938632536960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
12938632536960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 12938632536960:
27 × 34 × 5 × 132 × 192 × 4091
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 19 × 19 × 4091)See below for interesting mathematical facts about the number 12938632536960 from the Numbermatics database.
Names of 12938632536960
- Cardinal: 12938632536960 can be written as Twelve trillion, nine hundred thirty-eight billion, six hundred thirty-two million, five hundred thirty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.293863253696 × 1013
Factors of 12938632536960
Divisors of 12938632536960
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 45 48 52 54 57 60 64 65 72 76 78 80 81 90 95 96 104 108 114 117 120 128 130 135 144 152 156 160 162 169 171 180 190 192 195 208 216 228 234 240 247 260 270 285 288 304 312 320 324 338 342 351 360 361 380 384 390 405 416 432 456 468 480 494 507 513 520 540 570 576 585 608 624 640 648 676 684 702 720 722 741 760 780 810 832 845 855 864 912 936 960 988 1014 1026 1040 1053 1080 1083 1140 1152 1170 1216 1235 1248 1296 1352 1368 1404 1440 1444 1482 1520 1521 1539 1560 1620 1664 1690 1710 1728 1755 1805 1824 1872 1920 1976 2028 2052 2080 2106 2160 2166 2223 2280 2340 2432 2470 2496 2535 2565 2592 2704 2736 2808 2880 2888 2964 3040 3042 3078 3120 3211 3240 3249 3380 3420 3456 3510 3610 3648 3705 3744 3952 4056 4091 4104 4160 4212 4320 4332 4446 4560 4563 4680 4693 4940 4992 5070 5130 5184 5265 5408 5415 5472 5616 5760 5776 5928 6080 6084 6156 6240 6422 6480 6498 6669 6760 6840 7020 7220 7296 7410 7488 7605 7695 7904 8112 8182 8208 8320 8424 8640 8664 8892 9120 9126 9360 9386 9633 9747 9880 10140 10260 10368 10530 10816 10830 10944 11115 11232 11552 11856 12160 12168 12273 12312 12480 12844 12960 12996 13338 13520 13680 13689 14040 14079 14440 14820 14976 15210 15390 15808 16055 16224 16245 16364 16416 16848 17280 17328 17784 18240 18252 18720 18772 19266 19494 19760 20007 20280 20455 20520 21060 21632 21660 21888 22230 22464 22815 23104 23465 23712 24336 24546 24624 24960 25688 25920 25992 26676 27040 27360 27378 28080 28158 28880 28899 29241 29640 30420 30780 31616 32110 32448 32490 32728 32832 33345 33696 34656 35568 36480 36504 36819 37440 37544 38532 38988 39520 40014 40560 40910 41040 42120 42237 43320 44460 44928 45630 46208 46930 47424 48165 48672 48735 49092 49248 51376 51840 51984 53183 53352 54080 54720 54756 56160 56316 57760 57798 58482 59280 60840 61009 61365 61560 64220 64896 64980 65456 65664 66690 67392 68445 69312 70395 71136 73008 73638 74880 75088 77064 77729 77976 79040 80028 81120 81820 82080 84240 84474 86640 86697 88920 91260 93860 94848 96330 97344 97470 98184 98496 100035 102752 103968 106366 106704 108160 109440 109512 110457 112320 112632 115520 115596 116964 118560 121680 122018 122730 123120 126711 128440 129960 130912 133380 134784 136890 138624 140790 142272 144495 146016 146205 147276 150176 154128 155458 155952 158080 159549 160056 162240 163640 164160 168480 168948 173280 173394 177840 182520 183027 184095 187720 192660 194688 194940 196368 196992 200070 205504 207936 211185 212732 213408 219024 220914 224640 225264 231040 231192 233187 233928 237120 243360 244036 245460 246240 253422 256880 259920 260091 261824 265915 266760 273780 281580 284544 288990 292032 292410 294552 300352 305045 308256 310916 311904 319098 320112 324480 327280 328320 331371 336960 337896 346560 346788 355680 365040 366054 368190 375440 380133 385320 388645 389880 392736 400140 411008 415872 422370 425464 426816 433485 438048 441828 450528 462384 466374 467856 474240 478647 486720 488072 490920 492480 506844 513760 519840 520182 523648 531830 533520 547560 549081 552285 563160 577980 584064 584820 589104 600704 610090 616512 621832 623808 633555 638196 640224 654560 662742 673920 675792 691379 693120 693576 699561 711360 730080 732108 736380 750880 760266 770640 777290 779760 785472 797745 800280 844740 850928 853632 866970 876096 883656 901056 915135 924768 932748 935712 957294 973440 976144 981840 984960 1010477 1013688 1027520 1039680 1040364 1063660 1067040 1095120 1098162 1104570 1126320 1155960 1165935 1169640 1178208 1220180 1233024 1243664 1247616 1267110 1276392 1280448 1300455 1309120 1325484 1351584 1382758 1387152 1399122 1422720 1435941 1460160 1464216 1472760 1476851 1501760 1520532 1541280 1554580 1559520 1570944 1595490 1600560 1647243 1656855 1689480 1701856 1733940 1752192 1767312 1802112 1830270 1849536 1865496 1871424 1900665 1914588 1952288 1963680 2020954 2027376 2055040 2074137 2079360 2080728 2098683 2127320 2134080 2190240 2196324 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9569994480 9983512760 10367494020 10476625536 10640322810 11058660288 11231451855 11349677664 11947029120 11980215312 12287400320 12440992824 12610752960 12759992640 13095781920 13477742226 13823325360 14187097080 14975269140 15132903552 15311991168 15551241030 15973620416 16587990432 17024516496 17461042560 17920543680 17970322968 18431100480 18916129440 19139988960 19967025520 20216613339 20734988040 21280645620 22117320576 22462903710 22699355328 23960430624 24881985648 25221505920 25519985280 26191563840 26955484452 27646650720 28374194160 29950538280 31102482060 31947240832 33175980864 33694355565 34049032992 35841087360 35940645936 36862200960 37832258880 38279977920 39934051040 40433226678 41469976080 42561291240 44925807420 45398710656 47920861248 49763971296 52383127680 53910968904 55293301440 56748388320 59901076560 62204964120 66351961728 67388711130 68098065984 71881291872 75664517760 76559955840 79868102080 80866453356 82939952160 85122582480 89851614840 95841722496 99527942592 101083066695 107821937808 110586602880 113496776640 119802153120 124409928240 134777422260 136196131968 143762583744 159736204160 161732906712 165879904320 170245164960 179703229680 199055885184 202166133390 215643875616 226993553280 239604306240 248819856480 269554844520 287525167488 323465813424 331759808640 340490329920 359406459360 404332266780 431287751232 479208612480 497639712960 539109689040 646931626848 680980659840 718812918720 808664533560 862575502464 995279425920 1078219378080 1293863253696 1437625837440 1617329067120 2156438756160 2587726507392 3234658134240 4312877512320 6469316268480 12938632536960
- Sum of all divisors σ(n): 52818795307080
- Sum of proper divisors (its aliquot sum) s(n): 39880162770120
- 12938632536960 is an abundant number, because the sum of its proper divisors (39880162770120) is greater than itself. Its abundance is 26941530233160
Bases of 12938632536960
- Binary: 101111000100100000101001100010100011100000002
- Hexadecimal: 0xBC48298A380
- Base-36: 4L3XBQW00
Squares and roots of 12938632536960
- 12938632536960 squared (129386325369602) is 167408211926479965766041600
- 12938632536960 cubed (129386325369603) is 2166033337786248808462092776824897536000
-
The
square root of 12938632536960 is 3597031.0725597019 -
The
cube root of 12938632536960 is 23476.2896735349
Scales and comparisons
How big is 12938632536960?- 12,938,632,536,960 seconds is equal to 411,408 years, 25 weeks, 4 days, 9 hours, 36 minutes.
-
To count from 1 to 12,938,632,536,960 would take you about one million, twenty-eight thousand, five hundred twenty-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 12938632536960 cubic inches would be around 1956.4 feet tall.
Recreational maths with 12938632536960
- 12938632536960 backwards is 06963523683921
- The number of decimal digits it has is: 14
- The sum of 12938632536960's digits is 63
- More coming soon!
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Cite this page
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"Number 12938632536960 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 12938632536960 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/12938632536960/
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The information we have on file for 12938632536960 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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