12148138329600
12,148,138,329,600 is an even composite number composed of seven prime numbers multiplied together.
12148138329600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 12148138329600:
29 × 3 × 52 × 72 × 13 × 197 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 197 × 2521)See below for interesting mathematical facts about the number 12148138329600 from the Numbermatics database.
Names of 12148138329600
- Cardinal: 12148138329600 can be written as Twelve trillion, one hundred forty-eight billion, one hundred thirty-eight million, three hundred twenty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.21481383296 × 1013
Factors of 12148138329600
Divisors of 12148138329600
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 128 130 140 147 150 156 160 168 175 182 192 195 196 197 200 208 210 224 240 245 256 260 273 280 294 300 312 320 325 336 350 364 384 390 392 394 400 416 420 448 455 480 490 512 520 525 546 560 588 591 600 624 637 640 650 672 700 728 735 768 780 784 788 800 832 840 896 910 960 975 980 985 1040 1050 1092 1120 1176 1182 1200 1225 1248 1274 1280 1300 1344 1365 1379 1400 1456 1470 1536 1560 1568 1576 1600 1664 1680 1792 1820 1911 1920 1950 1960 1970 2080 2100 2184 2240 2275 2352 2364 2400 2450 2496 2521 2548 2560 2561 2600 2688 2730 2758 2800 2912 2940 2955 3120 3136 3152 3185 3200 3328 3360 3584 3640 3675 3822 3840 3900 3920 3940 4137 4160 4200 4368 4480 4550 4704 4728 4800 4900 4925 4992 5042 5096 5122 5200 5376 5460 5516 5600 5824 5880 5910 6240 6272 6304 6370 6400 6656 6720 6825 6895 7280 7350 7563 7644 7680 7683 7800 7840 7880 8274 8320 8400 8736 8960 9100 9408 9456 9555 9600 9653 9800 9850 9984 10084 10192 10244 10400 10752 10920 11032 11200 11648 11760 11820 12480 12544 12605 12608 12740 12800 12805 13440 13650 13790 14560 14700 14775 15126 15288 15366 15600 15680 15760 15925 16548 16640 16800 17472 17647 17920 17927 18200 18816 18912 19110 19200 19306 19600 19700 19968 20168 20384 20488 20685 20800 21840 22064 22400 23296 23520 23640 24960 25088 25210 25216 25480 25610 26880 27300 27580 28959 29120 29400 29550 30252 30576 30732 31200 31360 31520 31850 32773 33096 33280 33600 34475 34944 35294 35854 36400 37632 37815 37824 38220 38400 38415 38612 39200 39400 40336 40768 40976 41370 41600 43680 44128 44800 46592 47040 47280 47775 48265 49920 50420 50432 50960 51220 52941 53760 53781 54600 55160 57918 58240 58800 59100 60504 61152 61464 62400 62720 63025 63040 63700 64025 65546 66192 67200 68950 69888 70588 71708 72800 75264 75630 75648 76440 76830 77224 78400 78800 80672 81536 81952 82740 83200 87360 88235 88256 89600 89635 94080 94560 95550 96530 98319 99840 100840 100864 101920 102440 103425 105882 107562 109200 110320 115836 116480 117600 118200 121008 122304 122928 123529 124800 125440 125489 126050 126080 127400 128050 131092 132384 134400 137900 139776 141176 143416 144795 145600 151260 151296 152880 153660 154448 156800 157600 161344 163072 163865 163904 165480 166400 174720 176470 176512 179270 188160 189075 189120 191100 192075 193060 196638 201680 203840 204880 206850 211764 215124 218400 220640 229411 231672 232960 235200 236400 241325 242016 244608 245856 247058 249600 250978 252100 252160 254800 256100 262184 264705 264768 268800 268905 275800 282352 286832 289590 291200 302520 302592 305760 307320 308896 313600 315200 322688 326144 327730 327808 330960 349440 352940 353024 358540 370587 376320 376467 378150 378240 382200 384150 386120 393276 403360 407680 409760 413700 423528 430248 436800 441175 441280 448175 458822 463344 470400 472800 482650 484032 489216 491595 491712 494116 496637 499200 501956 504200 504320 509600 512200 524368 529410 529536 537810 551600 564704 573664 579180 582400 605040 611520 614640 617645 617792 627200 627445 630400 645376 655460 655616 661920 688233 698880 705880 706048 717080 723975 741174 752934 756300 756480 764400 768300 772240 786552 806720 815360 819325 819520 827400 847056 860496 873600 882350 882560 896350 917644 926688 940800 945600 965300 968064 978432 983190 983424 988232 993274 1003912 1008400 1019200 1024400 1048736 1058820 1059072 1075620 1103200 1129408 1147055 1147328 1158360 1164800 1210080 1223040 1229280 1235290 1235584 1254890 1260800 1290752 1310920 1311232 1323525 1323840 1344525 1376466 1411760 1434160 1447950 1482348 1489911 1505868 1512600 1512960 1528800 1536600 1544480 1573104 1605877 1613440 1630720 1638650 1639040 1654800 1694112 1720992 1747200 1764700 1765120 1792700 1835288 1852935 1853376 1881600 1882335 1891200 1930600 1936128 1966380 1966848 1976464 1986548 2007824 2016800 2038400 2048800 2097472 2117640 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111246688 112940800 114732800 117458432 118587840 119192880 120440775 120469440 121676065 123558400 125848320 127139072 128470160 129125620 135528960 135581901 137646600 137679360 139058360 146011278 146823040 148234800 148991100 150586800 154164192 154950744 157310400 158117120 158923840 160587700 160625920 161407025 166870032 169411200 172099200 173822950 176187648 180775868 183528800 185337600 189740544 190708608 192705240 192751104 193688430 194681704 197646400 198654800 200782400 205552256 206600992 208587540 209747200 220234560 222493376 225881600 225969835 229465600 237175680 238385760 240881550 240938880 243352130 251696640 254278144 256940320 258251240 260734425 271163802 275293200 278116720 292022556 293646080 296469600 297982200 301173600 308328384 309901488 314620800 316234240 316357769 317847680 321175400 321251840 322814050 333740064 338822400 344198400 347645900 352375296 361551736 365028195 367057600 370675200 381417216 385410480 387376860 389363408 395292800 397309600 401564800 411104512 413201984 417175080 419494400 440469120 444986752 451939670 474351360 476771520 481763100 481877760 484221075 486704260 513880640 516502480 521468850 542327604 550586400 556233440 584045112 587292160 592939200 595964400 602347200 608380325 616656768 619802976 629241600 632715538 635695360 642350800 645628100 667480128 677644800 677909505 688396800 695291800 723103472 730056390 734115200 762834432 770820960 774753720 778726816 790585600 794619200 803129600 822209024 826403968 834350160 880938240 889973504 903879340 948702720 949073307 953543040 963526200 963755520 968442150 973408520 1027761280 1033004960 1042937700 1084655208 1101172800 1112466880 1129849175 1168090224 1185878400 1191928800 1204694400 1216760650 1233313536 1239605952 1258483200 1265431076 1271390720 1284701600 1291256200 1334960256 1355819010 1390583600 1446206944 1460112780 1468230400 1541641920 1549507440 1557453632 1581171200 1581788845 1589238400 1606259200 1652807936 1668700320 1761876480 1779947008 1807758680 1825140975 1898146614 1907086080 1927052400 1936884300 1946817040 2055522560 2066009920 2085875400 2169310416 2202345600 2224933760 2259698350 2336180448 2371756800 2383857600 2409388800 2433521300 2466627072 2479211904 2530862152 2569403200 2582512400 2669920512 2711638020 2781167200 2892413888 2920225560 2936460800 3083283840 3099014880 3114907264 3163577690 3178476800 3305615872 3337400640 3389547525 3615517360 3650281950 3796293228 3814172160 3854104800 3873768600 3893634080 4111045120 4132019840 4171750800 4338620832 4404691200 4449867520 4519396700 4672360896 4743513600 4745366535 4767715200 4818777600 4867042600 4958423808 5061724304 5138806400 5165024800 5339841024 5423276040 5562334400 5784827776 5840451120 6166567680 6198029760 6229814528 6327155380 6356953600 6674801280 6779095050 7231034720 7300563900 7592586456 7708209600 7747537200 7787268160 7908944225 8264039680 8343501600 8677241664 8809382400 8899735040 9038793400 9344721792 9490733070 9535430400 9734085200 9916847616 10123448608 10277612800 10330049600 10846552080 11124668800 11569655552 11680902240 12333135360 12396059520 12459629056 12654310760 13349602560 13558190100 14462069440 14601127800 15185172912 15416419200 15495074400 15574536320 15817888450 16528079360 16687003200 17354483328 18077586800 18689443584 18981466140 19070860800 19468170400 20246897216 20555225600 20660099200 21693104160 22249337600 23139311104 23361804480 23726832675 24792119040 25308621520 26699205120 27116380200 28924138880 29202255600 30370345824 30832838400 30990148800 31149072640 31635776900 33374006400 34708966656 36155173600 37378887168 37962932280 38936340800 40493794432 41320198400 43386208320 44498675200 46723608960 47453665350 49584238080 50617243040 54232760400 57848277760 58404511200 60740691648 61665676800 61980297600 62298145280 63271553800 66748012800 69417933312 72310347200 75925864560 77872681600 80987588864 82640396800 86772416640 93447217920 94907330700 101234486080 108465520800 115696555520 116809022400 121481383296 123960595200 126543107600 133496025600 144620694400 151851729120 155745363200 161975177728 173544833280 186894435840 189814661400 202468972160 216931041600 233618044800 242962766592 247921190400 253086215200 289241388800 303703458240 311490726400 347089666560 379629322800 404937944320 433862083200 467236089600 485925533184 506172430400 578482777600 607406916480 759258645600 809875888640 867724166400 934472179200 1012344860800 1214813832960 1518517291200 1735448332800 2024689721600 2429627665920 3037034582400 4049379443200 6074069164800 12148138329600
- Sum of all divisors σ(n): 50548757234976
- Sum of proper divisors (its aliquot sum) s(n): 38400618905376
- 12148138329600 is an abundant number, because the sum of its proper divisors (38400618905376) is greater than itself. Its abundance is 26252480575776
Bases of 12148138329600
- Binary: 101100001100011101010111100001000110000000002
- Hexadecimal: 0xB0C75784600
- Base-36: 4B0RZWLXC
Squares and roots of 12148138329600
- 12148138329600 squared (121481383296002) is 147577264875096678236160000
- 12148138329600 cubed (121481383296003) is 1792789028006693713386333416718336000000
-
The
square root of 12148138329600 is 3485417.9562284923 -
The
cube root of 12148138329600 is 22988.1087426233
Scales and comparisons
How big is 12148138329600?- 12,148,138,329,600 seconds is equal to 386,273 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 12,148,138,329,600 would take you about nine hundred sixty-five thousand, six hundred eighty-three 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 12148138329600 cubic inches would be around 1915.7 feet tall.
Recreational maths with 12148138329600
- 12148138329600 backwards is 00692383184121
- 12148138329600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12148138329600's digits is 48
- More coming soon!
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The information we have on file for 12148138329600 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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