40404134144000
40,404,134,144,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 40404134144000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
40404134144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 40404134144000:
211 × 53 × 113 × 19 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 79 × 79)See below for interesting mathematical facts about the number 40404134144000 from the Numbermatics database.
Names of 40404134144000
- Cardinal: 40404134144000 can be written as Forty trillion, four hundred four billion, one hundred thirty-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.0404134144 × 1013
Factors of 40404134144000
Divisors of 40404134144000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 79 80 88 95 100 110 121 125 128 152 158 160 176 190 200 209 220 242 250 256 275 304 316 320 352 380 395 400 418 440 475 484 500 512 550 605 608 632 640 704 760 790 800 836 869 880 950 968 1000 1024 1045 1100 1210 1216 1264 1280 1331 1375 1408 1501 1520 1580 1600 1672 1738 1760 1900 1936 1975 2000 2048 2090 2200 2299 2375 2420 2432 2528 2560 2662 2750 2816 3002 3025 3040 3160 3200 3344 3476 3520 3800 3872 3950 4000 4180 4345 4400 4598 4750 4840 4864 5056 5120 5225 5324 5500 5632 6004 6050 6080 6241 6320 6400 6655 6688 6952 7040 7505 7600 7744 7900 8000 8360 8690 8800 9196 9500 9559 9680 9728 9875 10112 10240 10450 10648 11000 11264 11495 12008 12100 12160 12482 12640 12800 13310 13376 13904 14080 15010 15125 15200 15488 15800 16000 16511 16720 17380 17600 18392 19000 19118 19360 19456 19750 20224 20900 21296 21725 22000 22528 22990 24016 24200 24320 24964 25280 25289 25600 26125 26620 26752 27808 28160 30020 30250 30400 30976 31205 31600 32000 33022 33275 33440 34760 35200 36784 37525 38000 38236 38720 38912 39500 40448 41800 42592 43450 44000 45980 47795 48032 48400 48640 49928 50560 50578 51200 52250 53240 53504 55616 56320 57475 60040 60500 60800 61952 62410 63200 64000 66044 66550 66880 68651 69520 70400 73568 75050 76000 76472 77440 79000 80896 82555 83600 85184 86900 88000 91960 95590 96064 96800 97280 99856 101120 101156 104500 105149 106480 107008 108625 111232 112640 114950 118579 120080 121000 121600 123904 124820 126400 126445 128000 132088 133100 133760 137302 139040 140800 147136 150100 152000 152944 154880 156025 158000 161792 165110 166375 167200 170368 173800 176000 181621 183920 187625 191180 192128 193600 194560 199712 202240 202312 209000 210298 212960 214016 217250 222464 229900 237158 238975 240160 242000 243200 247808 249640 252800 252890 256000 264176 266200 267520 274604 278080 281600 287375 294272 300200 304000 305888 309760 312050 316000 330220 332750 334400 340736 343255 347600 352000 363242 367840 375250 382360 384256 387200 399424 404480 404624 412775 418000 420596 425920 428032 434500 444928 459800 474316 477950 480320 484000 486400 499280 505600 505780 525745 528352 532400 535040 549208 556160 563200 574750 588544 592895 600400 608000 611776 619520 624100 632000 632225 660440 665500 668800 681472 686510 695200 704000 726484 735680 750500 755161 764720 768512 774400 780125 798848 808960 809248 825550 836000 841192 851840 869000 889856 908105 919600 948632 955900 960640 968000 972800 998560 1011200 1011560 1051490 1056704 1064800 1070080 1098416 1112320 1149500 1177088 1185790 1194875 1200800 1216000 1223552 1239040 1248200 1264000 1264450 1304369 1320880 1331000 1337600 1362944 1373020 1390400 1408000 1452968 1471360 1501000 1510322 1529440 1537024 1548800 1560250 1597696 1618496 1651100 1672000 1682384 1703680 1716275 1738000 1779712 1816210 1839200 1897264 1911800 1921280 1936000 1997120 1997831 2022400 2023120 2063875 2102980 2113408 2129600 2140160 2196832 2224640 2299000 2354176 2371580 2389750 2401600 2432000 2447104 2496400 2528000 2528900 2608738 2628725 2641760 2662000 2675200 2725888 2746040 2780800 2816000 2905936 2942720 2964475 3002000 3020644 3058880 3074048 3097600 3120500 3161125 3195392 3236992 3302200 3344000 3364768 3407360 3432550 3476000 3632420 3678400 3775805 3794528 3823600 3842560 3872000 3994240 3995662 4044800 4046240 4127750 4205960 4226816 4259200 4393664 4449280 4540525 4598000 4708352 4743160 4779500 4803200 4864000 4894208 4992800 5056000 5057800 5217476 5257450 5283520 5324000 5350400 5492080 5561600 5811872 5885440 5928950 6004000 6041288 6117760 6195200 6241000 6322250 6390784 6473984 6521845 6604400 6688000 6729536 6814720 6865100 6952000 7264840 7356800 7551610 7589056 7647200 7685120 7744000 7988480 7991324 8092480 8255500 8306771 8411920 8453632 8518400 8581375 8787328 8898560 9081050 9196000 9486320 9559000 9606400 9788416 9985600 9989155 10112000 10115600 10434952 10514900 10567040 10648000 10700800 10984160 11123200 11623744 11770880 11857900 12008000 12082576 12235520 12482000 12644500 12781568 12947968 13043690 13143625 13208800 13376000 13459072 13629440 13730200 13904000 14348059 14529680 14713600 14822375 15103220 15178112 15294400 15370240 15488000 15976960 15982648 16184960 16511000 16613542 16823840 16907264 17036800 17162750 17574656 18162100 18392000 18879025 18972640 19118000 19212800 19576832 19971200 19978310 20224000 20231200 20869904 21029800 21134080 21296000 21968320 22246400 22702625 23247488 23541760 23715800 24016000 24165152 24471040 24964000 25289000 25895936 26087380 26287250 26417600 26752000 26918144 27460400 27808000 28696118 29059360 29427200 29644750 30206440 30356224 30588800 30976000 31953920 31965296 32369920 32609225 33022000 33227084 33647680 33814528 34073600 34325500 35149312 36324200 36784000 37758050 37945280 38236000 38425600 39942400 39956620 40462400 41533855 41739808 42059600 42268160 42592000 43936640 44492800 45405250 46494976 47431600 48032000 48330304 48942080 49928000 49945775 50578000 51791872 52174760 52574500 52835200 53504000 53836288 54920800 55616000 57392236 58118720 58854400 59289500 60412880 60712448 61177600 63907840 63930592 64739840 65218450 66044000 66454168 67295360 68147200 68651000 70298624 71740295 72648400 73568000 75516100 75890560 76472000 76851200 79884800 79913240 80924800 83067710 83479616 84119200 84536320 85184000 87873280 90810500 92989952 94395125 94863200 96064000 96660608 97884160 99856000 99891550 101156000 104349520 105149000 105670400 107672576 109841600 111232000 114784472 116237440 117708800 118579000 120825760 121424896 122355200 127861184 129479680 130436900 132088000 132908336 134590720 137302000 140597248 143480590 145296800 147136000 151032200 151781120 152944000 157828649 159769600 159826480 161849600 163046125 166135420 166959232 168238400 169072640 170368000 175746560 181621000 185979904 188790250 189726400 192128000 193321216 199712000 199783100 202312000 207669275 208699040 210298000 211340800 215345152 219683200 222464000 229568944 232474880 237158000 241651520 242849792 244710400 249728875 255722368 258959360 260873800 264176000 265816672 269181440 274604000 286961180 290593600 294272000 302064400 303562240 305888000 315657298 319539200 319652960 323699200 326092250 332270840 333918464 336476800 340736000 351493120 358701475 363242000 371959808 377580500 379452800 384256000 386642432 399424000 399566200 404624000 415338550 417398080 420596000 422681600 439366400 459137888 464949760 474316000 483303040 489420800 499457750 511444736 521747600 528352000 531633344 538362880 549208000 573922360 581187200 588544000 604128800 607124480 611776000 631314596 639305920 647398400 652184500 664541680 667836928 672953600 702986240 717402950 726484000 755161000 758905600 773284864 789143245 798848000 799132400 809248000 830677100 834796160 841192000 845363200 878732800 918275776 929899520 948632000 966606080 998915500 1022889472 1038346375 1043495200 1056704000 1063266688 1076725760 1098416000 1147844720 1162374400 1208257600 1214248960 1223552000 1262629192 1278611840 1294796800 1304369000 1329083360 1335673856 1345907200 1434805900 1452968000 1510322000 1517811200 1546569728 1578286490 1597696000 1598264800 1618496000 1661354200 1669592320 1682384000 1757465600 1793507375 1836551552 1859799040 1897264000 1933212160 1997831000 2045778944 2076692750 2086990400 2113408000 2126533376 2196832000 2295689440 2324748800 2416515200 2447104000 2525258384 2557223680 2608738000 2658166720 2671347712 2691814400 2869611800 2905936000 3020644000 3035622400 3156572980 3196529600 3236992000 3322708400 3339184640 3364768000 3514931200 3587014750 3673103104 3794528000 3866424320 3945716225 3995662000 4091557888 4153385500 4173980800 4226816000 4253066752 4393664000 4591378880 4649497600 4833030400 5050516768 5114447360 5217476000 5316333440 5383628800 5739223600 5811872000 6041288000 6071244800 6313145960 6393059200 6473984000 6645416800 6678369280 6729536000 7174029500 7346206208 7589056000 7732848640 7891432450 7991324000 8306771000 8347961600 8506133504 8787328000 9182757760 9298995200 9666060800 10101033536 10228894720 10434952000 10632666880 11478447200 11623744000 12082576000 12626291920 12786118400 13290833600 13356738560 13459072000 14348059000 14692412416 15178112000 15782864900 15982648000 16613542000 16695923200 17012267008 17574656000 18365515520 19332121600 19728581125 20202067072 20457789440 20869904000 21265333760 22956894400 23247488000 24165152000 25252583840 25572236800 26581667200 26918144000 28696118000 29384824832 30356224000 31565729800 31965296000 33227084000 33391846400 36731031040 38664243200 39457162250 40404134144 41739808000 42530667520 45913788800 46494976000 48330304000 50505167680 51144473600 53163334400 57392236000 63131459600 63930592000 66454168000 66783692800 73462062080 78914324500 80808268288 83479616000 85061335040 91827577600 96660608000 101010335360 102288947200 106326668800 114784472000 126262919200 127861184000 132908336000 146924124160 157828649000 161616536576 166959232000 183655155200 193321216000 202020670720 212653337600 229568944000 252525838400 255722368000 265816672000 315657298000 323233073152 333918464000 367310310400 404041341440 425306675200 459137888000 505051676800 511444736000 531633344000 631314596000 734620620800 808082682880 918275776000 1010103353600 1063266688000 1262629192000 1616165365760 1836551552000 2020206707200 2126533376000 2525258384000 3673103104000 4040413414400 5050516768000 8080826828800 10101033536000 20202067072000 40404134144000
- Sum of all divisors σ(n): 118232090121600
- Sum of proper divisors (its aliquot sum) s(n): 77827955977600
- 40404134144000 is an abundant number, because the sum of its proper divisors (77827955977600) is greater than itself. Its abundance is 37423821833600
Bases of 40404134144000
- Binary: 10010010111111010100100001000000101000000000002
- Hexadecimal: 0x24BF52102800
- Base-36: EBLEI9K3K
Squares and roots of 40404134144000
- 40404134144000 squared (404041341440002) is 1632494055926346612736000000
- 40404134144000 cubed (404041341440003) is 65959508824930746724825362857984000000000
-
The
square root of 40404134144000 is 6356424.6352804343 -
The
cube root of 40404134144000 is 34314.3098170967
Scales and comparisons
How big is 40404134144000?- 40,404,134,144,000 seconds is equal to 1,284,726 years, 25 weeks, 2 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 40,404,134,144,000 would take you about three million, two hundred eleven thousand, eight hundred sixteen 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 40404134144000 cubic inches would be around 2859.5 feet tall.
Recreational maths with 40404134144000
- 40404134144000 backwards is 00044143140404
- The number of decimal digits it has is: 14
- The sum of 40404134144000's digits is 29
- More coming soon!
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The information we have on file for 40404134144000 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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