138320443800
138,320,443,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138320443800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
138320443800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138320443800:
23 × 34 × 52 × 73 × 11 × 31 × 73
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 31 × 73)See below for interesting mathematical facts about the number 138320443800 from the Numbermatics database.
Names of 138320443800
- Cardinal: 138320443800 can be written as One hundred thirty-eight billion, three hundred twenty million, four hundred forty-three thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383204438 × 1011
Factors of 138320443800
Divisors of 138320443800
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 25 27 28 30 31 33 35 36 40 42 44 45 49 50 54 55 56 60 62 63 66 70 72 73 75 77 81 84 88 90 93 98 99 100 105 108 110 120 124 126 132 135 140 146 147 150 154 155 162 165 168 175 180 186 189 196 198 200 210 216 217 219 220 225 231 245 248 252 264 270 275 279 280 292 294 297 300 308 310 315 324 330 341 343 350 360 365 372 378 385 392 396 405 420 434 438 440 441 450 462 465 490 495 504 511 525 539 540 550 558 567 584 588 594 600 616 620 630 648 651 657 660 675 682 686 693 700 730 735 744 756 770 775 792 803 810 825 837 840 868 876 882 891 900 924 930 945 980 990 1022 1023 1029 1050 1078 1080 1085 1095 1100 1116 1134 1155 1176 1188 1225 1240 1260 1302 1314 1320 1323 1350 1364 1372 1386 1395 1400 1460 1470 1485 1512 1519 1533 1540 1550 1575 1606 1617 1620 1650 1674 1705 1715 1736 1752 1764 1782 1800 1825 1848 1860 1890 1925 1953 1960 1971 1980 2025 2044 2046 2058 2079 2100 2156 2170 2190 2200 2205 2232 2263 2268 2310 2325 2376 2387 2409 2450 2475 2511 2520 2555 2604 2628 2646 2695 2700 2728 2744 2772 2790 2835 2920 2940 2970 3038 3066 3069 3080 3087 3100 3150 3212 3234 3240 3255 3285 3300 3348 3410 3430 3465 3528 3564 3577 3650 3675 3720 3773 3780 3850 3906 3942 3960 3969 4015 4050 4088 4092 4116 4158 4185 4200 4312 4340 4380 4410 4455 4526 4536 4557 4599 4620 4650 4725 4774 4818 4851 4900 4950 5022 5110 5115 5145 5208 5256 5292 5390 5400 5425 5475 5544 5580 5621 5670 5775 5859 5880 5913 5940 6076 6132 6138 6174 6200 6237 6300 6424 6468 6510 6570 6600 6615 6696 6789 6820 6860 6930 6975 7128 7154 7161 7227 7300 7350 7425 7546 7560 7595 7665 7700 7812 7884 7938 8030 8085 8100 8184 8232 8316 8370 8525 8575 8680 8760 8820 8910 9052 9114 9198 9207 9240 9261 9300 9450 9548 9636 9702 9765 9800 9855 9900 10044 10220 10230 10290 10395 10584 10633 10731 10780 10850 10950 11025 11160 11242 11315 11319 11340 11550 11718 11826 11880 11935 12045 12152 12264 12276 12348 12474 12555 12600 12775 12936 13020 13140 13230 13475 13578 13640 13671 13720 13797 13860 13950 14175 14308 14322 14454 14553 14600 14700 14850 15092 15190 15330 15345 15400 15435 15624 15768 15841 15876 16060 16170 16200 16275 16425 16632 16709 16740 16863 17050 17150 17325 17577 17640 17820 17885 18104 18228 18396 18414 18522 18600 18865 18900 19096 19272 19404 19530 19710 19800 19845 20075 20088 20367 20440 20460 20580 20790 20925 21266 21462 21483 21560 21681 21700 21900 22050 22275 22484 22630 22638 22680 22785 22995 23100 23436 23652 23870 24090 24255 24552 24696 24893 24948 25039 25110 25550 25575 25725 26040 26280 26460 26950 27156 27342 27594 27621 27720 27783 27900 28105 28350 28616 28644 28908 29106 29295 29400 29565 29700 30184 30380 30660 30690 30870 31185 31682 31752 31899 32120 32193 32340 32550 32850 33075 33418 33480 33726 33945 33957 34100 34300 34650 35154 35640 35770 35805 36135 36456 36792 36828 37044 37730 37800 37975 38325 38808 39060 39347 39420 39690 40150 40425 40734 40920 41013 41160 41391 41580 41850 42532 42924 42966 43362 43400 43659 43800 44100 44550 44968 45260 45276 45570 45990 46035 46200 46305 46872 47304 47523 47740 48180 48510 48825 49275 49786 49896 50078 50127 50220 50589 51100 51150 51450 51975 52920 53165 53655 53900 54312 54684 55188 55242 55566 55800 56210 56575 56595 56700 57288 57816 58212 58590 59130 59400 59675 60225 60760 61101 61320 61380 61740 62370 62775 63364 63798 64386 64449 64680 65043 65100 65700 66150 66836 67452 67890 67914 68200 68355 68600 68985 69300 70308 71540 71610 72270 72765 73656 74088 74679 75117 75460 75950 76650 76725 77175 78120 78694 78840 79205 79380 80300 80850 81468 82026 82782 83160 83545 83700 84315 85064 85848 85932 86724 87318 87885 88200 89100 89425 90520 90552 91140 91980 92070 92610 94325 95046 95480 95697 96360 96579 97020 97650 98550 99225 99572 100156 100254 100440 101178 101835 101871 102200 102300 102900 103950 106330 107310 107415 107800 108405 109368 110376 110484 110887 111132 112420 113150 113190 113400 113925 114975 116424 116963 117180 118041 118260 119350 120450 121275 122202 122760 123039 123480 124465 124740 125195 125550 126728 127596 128772 128898 130086 130200 131400 132300 133672 134904 135780 135828 136710 137970 138105 138600 138915 140525 140616 142569 143080 143220 144540 145530 146475 147825 149358 150234 150381 150920 151767 151900 153300 153450 154350 155925 157388 158410 158760 159495 160600 160965 161700 162936 164052 165564 167090 167400 168630 169725 169785 171864 173448 174251 174636 175770 178200 178850 179025 180675 182280 183303 183960 184140 185220 188650 190092 191394 193158 193347 194040 195300 196735 197100 198450 199144 200312 200508 202356 203670 203742 204600 205065 205800 206955 207900 212660 214620 214830 216810 218295 220968 221774 222264 224037 224840 225351 226300 226380 227850 229950 230175 231525 233926 234360 236082 236520 237615 238700 240900 242550 244404 246078 248930 249480 250390 250635 251100 252945 255192 257544 257796 260172 264600 265825 268275 271560 271656 273420 275429 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7243425 7318542 7332120 7436583 7467900 7511700 7519050 7588350 7640325 7733880 7762090 7841295 7869400 7983864 8065332 8112636 8202600 8262870 8278200 8316525 8421336 8498952 8538299 8554140 8612730 8712550 8731800 8772225 8853075 8961480 8981847 9014040 9022860 9106020 9165150 9314508 9409554 9474003 9504600 9569700 9657900 9667350 9758056 9915444 9979830 10025400 10081665 10117800 10140795 10187100 10264968 10455060 10526670 10623690 10692675 10827432 10977813 11017160 11088700 11201850 11267550 11278575 11382525 11483640 11589480 11643135 11696300 11804100 11975796 12197570 12220200 12224520 12303900 12394305 12546072 12632004 12748428 12831210 12889800 13008600 13068825 13306440 13442220 13521060 13534290 13771450 13971762 14035560 14114331 14164920 14256900 14354550 14486850 14637084 14873166 14935800 14969745 15023400 15038100 15176700 15280650 15524180 15682590 15790005 15935535 16130664 16225272 16525740 16633050 16802775 16901325 17076598 17108280 17225460 17425100 17544450 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49577220 49899150 50408325 50703975 51229794 51324840 52275300 52633350 53118450 54137160 54889065 55085800 55887048 56457324 57418200 57947400 58215675 59492664 59878980 60987850 61122600 61971525 62730360 62872929 63160020 63742140 64156050 65866878 66532200 67211100 67605300 67671450 68306392 69858810 70177800 70571655 70824600 71854776 73185420 74365830 74848725 75792024 76844691 77620900 78412950 78950025 79677675 80653320 81126360 82628700 83830572 85382990 85541400 86127300 87822504 89238996 89818470 90228600 91060200 91481775 93145080 94095540 94740030 98800317 99154440 99798300 100816650 101407950 102459588 104550600 104788215 105266700 106236900 109778130 111548745 112914648 116431350 117619425 119757960 121975700 123943050 125745858 126320040 127484280 128074485 128312100 131733756 134422200 135210600 135342900 139717620 141143310 146370840 148731660 149697450 153689382 155241800 156825900 157900050 159355350 164667195 165257400 167661144 170765980 172254600 174647025 178477992 179636940 182963550 185914575 188191080 189480060 197600634 199596600 201633300 202815900 204919176 209576430 210533400 212473800 213457475 219556260 223097490 224546175 230534073 232862700 235238850 236850075 243951400 247886100 251491716 256148970 256624200 263467512 270685800 274445325 279435240 282286620 297463320 299394900 307378764 313651800 314364645 315800100 318710700 329334390 341531960 349294050 352858275 359273880 365927100 371829150 378960120 384223455 395201268 403266600 405631800 419152860 426914950 439112520 446194980 449092350 461068146 465725400 470477700 473700150 494001585 495772200 502983432 512297940 523941075 548890650 557743725 564573240 598789800 614757528 628729290 631600200 637421400 640372425 658668780 691602219 698588100 705716550 731854200 743658300 768446910 790402536 823335975 838305720 853829900 892389960 898184700 922136292 940955400 947400300 988003170 1024595880 1047882150 1097781300 1115487450 1152670365 1257458580 1280744850 1317337560 1383204438 1397176200 1411433100 1487316600 1536893820 1571823225 1646671950 1707659800 1796369400 1844272584 1894800600 1921117275 1976006340 2095764300 2195562600 2230974900 2305340730 2470007925 2514917160 2561489700 2766408876 2822866200 3073787640 3143646450 3293343900 3458011095 3842234550 3952012680 4191528600 4461949800 4610681460 4940015850 5122979400 5532817752 5763351825 6287292900 6586687800 6916022190 7684469100 9221362920 9880031700 11526703650 12574585800 13832044380 15368938200 17290055475 19760063400 23053407300 27664088760 34580110950 46106814600 69160221900 138320443800
- Sum of all divisors σ(n): 639530496000
- Sum of proper divisors (its aliquot sum) s(n): 501210052200
- 138320443800 is an abundant number, because the sum of its proper divisors (501210052200) is greater than itself. Its abundance is 362889608400
Bases of 138320443800
- Binary: 100000001101001000101001111001100110002
- Hexadecimal: 0x20348A7998
- Base-36: 1RJKF5I0
Squares and roots of 138320443800
- 138320443800 squared (1383204438002) is 19132545173028958440000
- 138320443800 cubed (1383204438003) is 2646422139356913321672555672000000
-
The
square root of 138320443800 is 371914.5651893725 -
The
cube root of 138320443800 is 5171.6460182689
Scales and comparisons
How big is 138320443800?- 138,320,443,800 seconds is equal to 4,398 years, 8 weeks, 3 days, 1 hour, 30 minutes.
-
To count from 1 to 138,320,443,800 would take you about eight thousand, seven hundred ninety-six 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 138320443800 cubic inches would be around 431 feet tall.
Recreational maths with 138320443800
- 138320443800 backwards is 008344023831
- 138320443800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138320443800's digits is 36
- More coming soon!
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"Number 138320443800 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138320443800 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138320443800/
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The information we have on file for 138320443800 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 138320443800, math, Factors of 138320443800, curriculum, school, college, exams, university, Prime factorization of 138320443800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, three hundred twenty million, four hundred forty-three thousand, eight hundred.