138408774400
138,408,774,400 is an even composite number composed of six prime numbers multiplied together.
138408774400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138408774400:
28 × 52 × 13 × 23 × 151 × 479
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 151 × 479)See below for interesting mathematical facts about the number 138408774400 from the Numbermatics database.
Names of 138408774400
- Cardinal: 138408774400 can be written as One hundred thirty-eight billion, four hundred eight million, seven hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.384087744 × 1011
Factors of 138408774400
Divisors of 138408774400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 64 65 80 92 100 104 115 128 130 151 160 184 200 208 230 256 260 299 302 320 325 368 400 416 460 479 520 575 598 604 640 650 736 755 800 832 920 958 1040 1150 1196 1208 1280 1300 1472 1495 1510 1600 1664 1840 1916 1963 2080 2300 2392 2395 2416 2600 2944 2990 3020 3200 3328 3473 3680 3775 3832 3926 4160 4600 4784 4790 4832 5200 5888 5980 6040 6227 6400 6946 7360 7475 7550 7664 7852 8320 9200 9568 9580 9664 9815 10400 11017 11960 11975 12080 12454 13892 14720 14950 15100 15328 15704 16640 17365 18400 19136 19160 19328 19630 20800 22034 23920 23950 24160 24908 27784 29440 29900 30200 30656 31135 31408 34730 36800 38272 38320 38656 39260 41600 44068 45149 47840 47900 48320 49075 49816 55085 55568 59800 60400 61312 62270 62816 69460 72329 73600 76544 76640 78520 83200 86825 88136 90298 95680 95800 96640 98150 99632 110170 111136 119600 120800 122624 124540 125632 138920 143221 144658 147200 153280 155675 157040 173650 176272 180596 191360 191600 193280 196300 199264 220340 222272 225745 239200 241600 249080 251264 275425 277840 286442 289316 306560 311350 314080 347300 352544 361192 361645 382720 383200 392600 398528 440680 444544 451490 478400 483200 498160 502528 550850 555680 572884 578632 613120 622700 628160 694600 705088 716105 722384 723290 766400 785200 797056 881360 889088 902980 940277 956800 966400 996320 1101700 1111360 1128725 1145768 1157264 1245400 1256320 1389200 1410176 1432210 1444768 1446580 1532800 1570400 1594112 1663567 1762720 1805960 1808225 1880554 1913600 1992640 2203400 2222720 2257450 2291536 2314528 2490800 2512640 2778400 2820352 2864420 2889536 2893160 3065600 3140800 3327134 3525440 3580525 3611920 3616450 3761108 3985280 4406800 4445440 4514900 4583072 4629056 4701385 4981600 5556800 5728840 5779072 5786320 6281600 6654268 7050880 7161050 7223840 7232900 7522216 7970560 8317835 8813600 9029800 9166144 9258112 9402770 9963200 11113600 11457680 11558144 11572640 12563200 13308536 14101760 14322100 14447680 14465800 15044432 16635670 17627200 18059600 18332288 18516224 18805540 19926400 21626371 22227200 22915360 23145280 23506925 26617072 28644200 28895360 28931600 30088864 33271340 35254400 36119200 36664576 37611080 39852800 41589175 43252742 45830720 46290560 47013850 53234144 57288400 57790720 57863200 60177728 66542680 70508800 72238400 75222160 83178350 86505484 91661440 92581120 94027700 106468288 108131855 114576800 115726400 120355456 133085360 144476800 150444320 166356700 173010968 183322880 188055400 212936576 216263710 229153600 231452800 240710912 266170720 288953600 300888640 332713400 346021936 376110800 425873152 432527420 458307200 462905600 532341440 540659275 601777280 665426800 692043872 752221600 865054840 916614400 1064682880 1081318550 1203554560 1330853600 1384087744 1504443200 1730109680 2129365760 2162637100 2661707200 2768175488 3008886400 3460219360 4325274200 5323414400 5536350976 6017772800 6920438720 8650548400 10646828800 13840877440 17301096800 27681754880 34602193600 69204387200 138408774400
- Sum of all divisors σ(n): 388335144960
- Sum of proper divisors (its aliquot sum) s(n): 249926370560
- 138408774400 is an abundant number, because the sum of its proper divisors (249926370560) is greater than itself. Its abundance is 111517596160
Bases of 138408774400
- Binary: 100000001110011100111001001011000000002
- Hexadecimal: 0x2039CE4B00
- Base-36: 1RL10DTS
Squares and roots of 138408774400
- 138408774400 squared (1384087744002) is 19156988830910095360000
- 138408774400 cubed (1384087744003) is 2651495345280755135364726784000000
-
The
square root of 138408774400 is 372033.2974345173 -
The
cube root of 138408774400 is 5172.7466446551
Scales and comparisons
How big is 138408774400?- 138,408,774,400 seconds is equal to 4,400 years, 50 weeks, 3 days, 9 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,408,774,400 would take you about eight thousand, eight hundred 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 138408774400 cubic inches would be around 431.1 feet tall.
Recreational maths with 138408774400
- 138408774400 backwards is 004477804831
- 138408774400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138408774400's digits is 46
- More coming soon!
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