12135361638400
12,135,361,638,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 12135361638400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1404 divisors.
12135361638400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 12135361638400:
212 × 52 × 72 × 11 × 132 × 1301
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 13 × 13 × 1301)See below for interesting mathematical facts about the number 12135361638400 from the Numbermatics database.
Names of 12135361638400
- Cardinal: 12135361638400 can be written as Twelve trillion, one hundred thirty-five billion, three hundred sixty-one million, six hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.21353616384 × 1013
Factors of 12135361638400
Divisors of 12135361638400
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 49 50 52 55 56 64 65 70 77 80 88 91 98 100 104 110 112 128 130 140 143 154 160 169 175 176 182 196 200 208 220 224 245 256 260 275 280 286 308 320 325 338 350 352 364 385 392 400 416 440 448 455 490 512 520 539 550 560 572 616 637 640 650 676 700 704 715 728 770 784 800 832 845 880 896 910 980 1001 1024 1040 1078 1100 1120 1144 1183 1225 1232 1274 1280 1300 1301 1352 1400 1408 1430 1456 1540 1568 1600 1664 1690 1760 1792 1820 1859 1925 1960 2002 2048 2080 2156 2200 2240 2275 2288 2366 2450 2464 2548 2560 2600 2602 2695 2704 2800 2816 2860 2912 3080 3136 3185 3200 3328 3380 3520 3575 3584 3640 3718 3850 3920 4004 4096 4160 4225 4312 4400 4480 4550 4576 4732 4900 4928 5005 5096 5120 5200 5204 5390 5408 5600 5632 5720 5824 5915 6160 6272 6370 6400 6505 6656 6760 7007 7040 7150 7168 7280 7436 7700 7840 8008 8281 8320 8450 8624 8800 8960 9100 9107 9152 9295 9464 9800 9856 10010 10192 10240 10400 10408 10780 10816 11200 11264 11440 11648 11830 12320 12544 12740 12800 13010 13013 13312 13475 13520 14014 14080 14300 14311 14336 14560 14872 15400 15680 15925 16016 16562 16640 16900 16913 17248 17600 17920 18200 18214 18304 18590 18928 19600 19712 20020 20384 20480 20800 20816 21560 21632 22400 22528 22880 23296 23660 24640 25025 25088 25480 25600 26020 26026 26624 26950 27040 28028 28160 28600 28622 28672 29120 29575 29744 30800 31360 31850 32032 32525 33124 33280 33800 33826 34496 35035 35200 35840 36400 36428 36608 37180 37856 39200 39424 40040 40768 41405 41600 41632 43120 43264 44800 45056 45535 45760 46475 46592 47320 49280 50050 50176 50960 51200 52040 52052 53248 53900 54080 56056 56320 57200 57244 58240 59150 59488 61600 62720 63700 63749 64064 65050 65065 66248 66560 67600 67652 68992 70070 70400 71555 71680 72800 72856 73216 74360 75712 78400 78848 80080 81536 82810 83200 83264 84565 86240 86528 89600 91070 91091 91520 92950 93184 94640 98560 100100 100177 100352 101920 102400 104080 104104 107800 108160 112112 112640 114400 114488 116480 118300 118391 118976 123200 125440 127400 127498 128128 130100 130130 132496 133120 135200 135304 137984 140140 140800 143110 143360 145600 145712 146432 148720 151424 156800 157696 160160 163072 165620 166400 166528 169130 172480 173056 175175 179200 182140 182182 183040 185900 186043 186368 189280 197120 200200 200354 200704 203840 207025 208160 208208 215600 216320 219869 224224 225280 227675 228800 228976 232960 236600 236782 237952 246400 250880 254800 254996 256256 260200 260260 264992 266240 270400 270608 275968 280280 281600 286220 291200 291424 292864 297440 302848 313600 315392 318745 320320 325325 326144 331240 332800 333056 338260 344960 346112 350350 357775 358400 364280 364364 366080 371800 372086 372736 378560 394240 400400 400708 407680 414050 416320 416416 422825 431200 432640 439738 448448 455350 455455 457600 457952 465920 473200 473564 475904 492800 500885 501760 509600 509992 512512 520400 520520 529984 540800 541216 551936 560560 563200 572440 582400 582848 585728 591955 594880 605696 627200 637490 640640 650650 652288 662480 665600 666112 676520 689920 692224 700700 701239 715550 716800 728560 728728 732160 743600 744172 757120 788480 800800 801416 815360 828100 828737 832640 832832 845650 862400 865280 879476 896896 910700 910910 915200 915904 930215 931840 946400 947128 951808 985600 1001770 1003520 1019200 1019984 1025024 1040800 1041040 1059968 1081600 1082432 1099345 1103872 1121120 1126400 1144880 1164800 1165696 1183910 1189760 1211392 1254400 1274980 1281280 1301300 1302301 1304576 1324960 1331200 1332224 1353040 1379840 1401400 1402478 1431100 1457120 1457456 1464320 1487200 1488344 1514240 1539083 1576960 1593725 1601600 1602832 1630720 1656200 1657474 1665280 1665664 1691300 1724800 1730560 1758952 1793792 1821400 1821820 1830400 1831808 1860430 1863680 1892800 1894256 1903616 1971200 2003540 2038400 2039968 2050048 2081600 2082080 2119936 2163200 2164864 2198690 2207744 2242240 2277275 2289760 2329600 2331392 2367820 2379520 2418559 2422784 2504425 2508800 2549960 2562560 2602600 2604602 2609152 2649920 2664448 2706080 2759680 2802800 2804956 2862200 2914240 2914912 2928640 2959775 2974400 2976688 3028480 3078166 3187450 3203200 3205664 3261440 3312400 3314948 3330560 3331328 3382600 3449600 3461120 3506195 3517904 3587584 3642800 3643640 3660800 3663616 3720860 3785600 3788512 3807232 3942400 4007080 4076800 4079936 4100096 4143685 4163200 4164160 4239872 4326400 4329728 4397380 4484480 4554550 4579520 4651075 4659200 4662784 4735640 4759040 4837118 4845568 5008850 5017600 5099920 5125120 5205200 5209204 5299840 5328896 5412160 5496725 5519360 5605600 5609912 5724400 5828480 5829824 5919550 5948800 5953376 6056960 6156332 6374900 6406400 6411328 6511505 6522880 6624800 6629896 6661120 6662656 6765200 6899200 7012390 7035808 7175168 7285600 7287280 7321600 7327232 7441720 7571200 7577024 7614464 7695415 7884800 8014160 8153600 8159872 8287370 8326400 8328320 8479744 8652800 8659456 8794760 8968960 9109100 9116107 9159040 9302150 9318400 9325568 9471280 9518080 9674236 10017700 10199840 10250240 10410400 10418408 10599680 10773581 10824320 10993450 11038720 11211200 11219824 11448800 11656960 11659648 11839100 11897600 11906752 12092795 12113920 12312664 12749800 12812800 12822656 13023010 13045760 13249600 13259792 13322240 13325312 13530400 13798400 14024780 14071616 14350336 14571200 14574560 14643200 14654464 14883440 15142400 15154048 15390830 16028320 16307200 16319744 16574740 16652800 16656640 16929913 16959488 17305600 17318912 17530975 17589520 17937920 18218200 18232214 18318080 18604300 18651136 18942560 19036160 19348472 20035400 20399680 20500480 20718425 20820800 20836816 21199360 21547162 21648640 21986900 22422400 22439648 22897600 23313920 23319296 23678200 23795200 23813504 24185590 24227840 24625328 25499600 25625600 25645312 26046020 26499200 26519584 26644480 26650624 27060800 27596800 28049560 28143232 28700672 29142400 29149120 29308928 29766880 30284800 30308096 30781660 32056640 32557525 32614400 32639488 33149480 33305600 33313280 33859826 33918976 34637824 35061950 35179040 35875840 36436400 36464428 36636160 37208600 37302272 37885120 38072320 38477075 38696944 40070800 40799360 41436850 41641600 41673632 42398720 43094324 43297280 43973800 44844800 44879296 45580535 45795200 46627840 46638592 47356400 47590400 47627008 48371180 49250656 50999200 51251200 51290624 52092040 52998400 53039168 53301248 53867905 54121600 55193600 56099120 56286464 58284800 58298240 58617856 59533760 60463975 60569600 60616192 61563320 64113280 65115050 65228800 65278976 66298960 66611200 66626560 67719652 69275648 70123900 70358080 71751680 72872800 72928856 73272320 74417200 75770240 76954150 77393888 80141600 81598720 82873700 83283200 83347264 84649565 84797440 86188648 86594560 87947600 89689600 89758592 91161070 91590400 93255680 93277184 94712800 95180800 95254016 96742360 98501312 101998400 102502400 102581248 104184080 105996800 106078336 107735810 108243200 112198240 112572928 116569600 116596480 118509391 119067520 120927950 121139200 121232384 123126640 128226560 130230100 130557952 132597920 133222400 133253120 135439304 140247800 140716160 143503360 145745600 145857712 146544640 148834400 151540480 153908300 154787776 160283200 163197440 165747400 166566400 166694528 169299130 169594880 172377296 173189120 175895200 179379200 179517184 182322140 183180800 186511360 186554368 189425600 190361600 190508032 193484720 197002624 203996800 205162496 208368160 211993600 212156672 215471620 216486400 224396480 225145856 227902675 233139200 233192960 237018782 238135040 241855900 242464768 246253280 256453120 260460200 261115904 265195840 266506240 269339525 270878608 280495600 281432320 291491200 291715424 293089280 297668800 303080960 307816600 309575552 320566400 326394880 331494800 333132800 333389056 338598260 344754592 346378240 351790400 358758400 359034368 364644280 366361600 373108736 378851200 381016064 386969440 394005248 407993600 410324992 416736320 423247825 423987200 424313344 430943240 432972800 448792960 450291712 455805350 466278400 466385920 474037564 476270080 483711800 484929536 492506560 512906240 520920400 530391680 538679050 541757216 560991200 562864640 582982400 583430848 592546955 595337600 606161920 615633200 619151104 641132800 652789760 662989600 666265600 666778112 677196520 689509184 703580800 717516800 718068736 729288560 732723200 757702400 762032128 773938880 788010496 815987200 833472640 846495650 847974400 848626688 861886480 865945600 897585920 900583424 911610700 932556800 932771840 948075128 952540160 967423600 985013120 1025812480 1041840800 1060783360 1077358100 1083514432 1121982400 1125729280 1165964800 1166861696 1185093910 1190675200 1212323840 1231266400 1238302208 1282265600 1305579520 1325979200 1332531200 1333556224 1354393040 1379018368 1407161600 1436137472 1458577120 1465446400 1515404800 1547877760 1576020992 1631974400 1666945280 1692991300 1697253376 1723772960 1731891200 1795171840 1823221400 1865543680 1896150256 1905080320 1934847200 1970026240 2051624960 2083681600 2121566720 2154716200 2167028864 2243964800 2251458560 2331929600 2333723392 2370187820 2381350400 2424647680 2462532800 2476604416 2564531200 2651958400 2667112448 2708786080 2758036736 2814323200 2872274944 2917154240 2962734775 3030809600 3095755520 3152041984 3263948800 3333890560 3385982600 3394506752 3447545920 3590343680 3646442800 3792300512 3810160640 3869694400 3940052480 4167363200 4243133440 4309432400 4334057728 4487929600 4502917120 4663859200 4667446784 4740375640 4762700800 4925065600 4953208832 5129062400 5303916800 5334224896 5417572160 5516073472 5628646400 5834308480 5925469550 6061619200 6191511040 6304083968 6527897600 6667781120 6771965200 6895091840 7180687360 7292885600 7584601024 7739388800 7880104960 8334726400 8486266880 8618864800 8668115456 8975859200 9327718400 9334893568 9480751280 9525401600 9850131200 9906417664 10258124800 10607833600 10835144320 11032146944 11257292800 11668616960 11850939100 12123238400 12383022080 13335562240 13543930400 13790183680 14361374720 14585771200 15169202048 15478777600 15760209920 16669452800 16972533760 17237729600 17336230912 17951718400 18669787136 18961502560 19050803200 19700262400 21215667200 21670288640 22064293888 22514585600 23337233920 23701878200 24766044160 26671124480 27087860800 27580367360 29171542400 30338404096 30957555200 31520419840 33338905600 34475459200 34672461824 35903436800 37339574272 37923005120 39400524800 42431334400 43340577280 44128587776 46674467840 47403756400 49532088320 54175721600 55160734720 58343084800 60676808192 61915110400 66677811200 68950918400 69344923648 71806873600 75846010240 78801049600 84862668800 86681154560 93348935680 94807512800 108351443200 110321469440 116686169600 121353616384 123830220800 133355622400 137901836800 151692020480 157602099200 173362309120 186697871360 189615025600 216702886400 220642938880 233372339200 242707232768 247660441600 275803673600 303384040960 346724618240 379230051200 433405772800 466744678400 485414465536 551607347200 606768081920 758460102400 866811545600 933489356800 1103214694400 1213536163840 1516920204800 1733623091200 2427072327680 3033840409600 6067680819200 12135361638400
- Sum of all divisors σ(n): 41382506834424
- Sum of proper divisors (its aliquot sum) s(n): 29247145196024
- 12135361638400 is an abundant number, because the sum of its proper divisors (29247145196024) is greater than itself. Its abundance is 17111783557624
Bases of 12135361638400
- Binary: 101100001001011110111110101101110000000000002
- Hexadecimal: 0xB097BEB7000
- Base-36: 4AUWOZRWG
Squares and roots of 12135361638400
- 12135361638400 squared (121353616384002) is 147267002094750332354560000
- 12135361638400 cubed (121353616384003) is 1787138327822805625281177771311104000000
-
The
square root of 12135361638400 is 3483584.5961308303 -
The
cube root of 12135361638400 is 22980.0467392525
Scales and comparisons
How big is 12135361638400?- 12,135,361,638,400 seconds is equal to 385,866 years, 50 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 12,135,361,638,400 would take you about nine hundred sixty-four thousand, six hundred sixty-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 12135361638400 cubic inches would be around 1915 feet tall.
Recreational maths with 12135361638400
- 12135361638400 backwards is 00483616353121
- The number of decimal digits it has is: 14
- The sum of 12135361638400's digits is 43
- More coming soon!
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The information we have on file for 12135361638400 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!
Keywords: Divisors of 12135361638400, math, Factors of 12135361638400, curriculum, school, college, exams, university, Prime factorization of 12135361638400, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, one hundred thirty-five billion, three hundred sixty-one million, six hundred thirty-eight thousand, four hundred.