138169863408000
138,169,863,408,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138169863408000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
138169863408000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138169863408000:
27 × 3 × 53 × 17 × 31 × 61 × 151 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 31 × 61 × 151 × 593)See below for interesting mathematical facts about the number 138169863408000 from the Numbermatics database.
Names of 138169863408000
- Cardinal: 138169863408000 can be written as One hundred thirty-eight trillion, one hundred sixty-nine billion, eight hundred sixty-three million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.38169863408 × 1014
Factors of 138169863408000
Divisors of 138169863408000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 40 48 50 51 60 61 62 64 68 75 80 85 93 96 100 102 120 122 124 125 128 136 150 151 155 160 170 183 186 192 200 204 240 244 248 250 255 272 300 302 305 310 320 340 366 372 375 384 400 408 425 453 465 480 488 496 500 510 527 544 593 600 604 610 620 640 680 732 744 750 755 775 800 816 850 906 915 930 960 976 992 1000 1020 1037 1054 1088 1186 1200 1208 1220 1240 1275 1360 1464 1488 1500 1510 1525 1550 1581 1600 1632 1700 1779 1812 1830 1860 1891 1920 1952 1984 2000 2040 2074 2108 2125 2176 2265 2325 2372 2400 2416 2440 2480 2550 2567 2635 2720 2928 2965 2976 3000 3020 3050 3100 3111 3162 3200 3264 3400 3558 3624 3660 3720 3775 3782 3875 3904 3968 4000 4080 4148 4216 4250 4530 4575 4650 4681 4744 4800 4832 4880 4960 5100 5134 5185 5270 5440 5673 5856 5930 5952 6000 6040 6100 6200 6222 6324 6375 6528 6800 7116 7248 7320 7440 7550 7564 7625 7701 7750 7808 7905 8000 8160 8296 8432 8500 8895 9060 9150 9211 9300 9362 9455 9488 9600 9664 9760 9920 10081 10200 10268 10370 10540 10880 11325 11346 11625 11712 11860 11904 12000 12080 12200 12400 12444 12648 12750 12835 13175 13600 14043 14232 14496 14640 14825 14880 15100 15128 15250 15402 15500 15555 15810 16000 16320 16592 16864 17000 17790 18120 18300 18383 18422 18600 18724 18875 18910 18976 19328 19520 19840 20162 20400 20536 20740 21080 22650 22692 22875 23250 23405 23424 23720 24000 24160 24400 24800 24888 25296 25500 25670 25925 26350 27200 27633 28086 28365 28464 28992 29280 29650 29760 30200 30243 30256 30500 30804 31000 31110 31620 32147 32640 33184 33728 34000 35580 36173 36240 36600 36766 36844 37200 37448 37750 37820 37952 38505 39040 39525 40324 40800 41072 41480 42160 44475 45300 45384 45750 46055 46500 46810 47275 47440 48000 48320 48800 49600 49776 50405 50592 51000 51340 51850 52700 54400 55149 55266 56172 56625 56730 56928 57984 58560 59300 59520 60400 60486 60512 61000 61608 62000 62220 63240 64175 64294 65875 66368 67456 68000 70215 71160 72346 72480 73200 73532 73688 74125 74400 74896 75500 75640 75904 77010 77775 79050 79577 80648 81600 82144 82960 84320 88950 89543 90600 90768 91500 91915 92110 93000 93620 94550 94880 96441 96640 97600 99200 99552 100810 101184 102000 102680 103700 105400 108519 110298 110532 112344 113250 113460 113856 117025 117120 118600 120800 120972 121024 122000 123216 124000 124440 126480 128350 128588 129625 131750 132736 136000 138165 140430 141825 142320 144692 144960 146400 147064 147376 148250 148800 149792 151000 151215 151280 154020 155550 156587 158100 159154 160735 161296 163200 164288 165920 168640 177900 179086 180865 181200 181536 183000 183830 184220 186000 187240 189100 189760 192525 192882 195200 197625 199104 201620 202368 204000 205360 207400 210800 217038 220596 221064 222375 224688 226500 226920 227712 230275 234050 236375 237200 238731 241600 241944 242048 244000 246432 248000 248880 252025 252960 256700 257176 259250 263500 268629 272000 275745 276330 280860 283650 284640 285541 289384 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937533 939522 945500 948800 954924 962625 964410 967776 976000 985728 995520 1008100 1011840 1026800 1028704 1037000 1054000 1074516 1085190 1102980 1105320 1121363 1123440 1134600 1138560 1142164 1151375 1157536 1170250 1176512 1179008 1186000 1193655 1208000 1209720 1210240 1229882 1232160 1244400 1250044 1252696 1260125 1264800 1273232 1283500 1285880 1290368 1343145 1378725 1381650 1404300 1418250 1423200 1427705 1432688 1446920 1449600 1464000 1470640 1473760 1488000 1497920 1512150 1512800 1522231 1540200 1543056 1555500 1562555 1565870 1581000 1591540 1607350 1612960 1642880 1659200 1686400 1713246 1736304 1755375 1764768 1768512 1779000 1790860 1797504 1808650 1812000 1815360 1838300 1842200 1844823 1872400 1875066 1879044 1891000 1897600 1909848 1925250 1928820 1935552 1989425 1991040 2016200 2053600 2057408 2074000 2108000 2149032 2170380 2205960 2210640 2238575 2242726 2246880 2269200 2284328 2297875 2302750 2315072 2340500 2348805 2353024 2372000 2387310 2411025 2416000 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6554547600 6661999200 6728178000 6773032520 6852984000 6964206825 7078374150 7148689125 7281295500 7306708800 7320257664 7379292000 7428487280 7500264000 7516176000 7550265760 7625268400 7766715200 8127639024 8193184500 8327499000 8466290650 8635616463 8739396800 8882665600 8914184736 8970904000 9060318912 9133386000 9150322080 9285609100 9320058240 9437832200 9531585500 9708394000 9839056000 10159548780 10487276160 10765084800 10836852032 10924246000 11103332000 11142730920 11325398640 11437902600 11514155284 11607011375 11650072800 11797290250 11885579648 12177848000 12200429440 12699435975 13109095200 13323998400 13456356000 13546065040 13705968000 13928413650 14156748300 14297378250 14392694105 14562591000 14613417600 14758584000 14856974560 15000528000 15100531520 15250536800 15533430400 16255278048 16386369000 16654998000 16932581300 17271232926 17478793600 17695935375 17828369472 17941808000 18120637824 18266772000 18300644160 18571218200 18875664400 19063171000 19416788000 20319097560 21165726625 21673704064 21848492000 22206664000 22285461840 22650797280 22875805200 23028310568 23214022750 23300145600 23594580500 24355696000 25398871950 26218190400 26647996800 26912712000 27092130080 27856827300 28313496600 28594756500 28785388210 29125182000 29517168000 29713949120 30201063040 30501073600 32510556096 32772738000 33309996000 33865162600 34542465852 34821034125 35391870750 35656738944 36533544000 36601288320 37142436400 37751328800 38126342000 38833576000 40638195120 42331453250 43178082315 43696984000 44413328000 44570923680 45301594560 45751610400 46056621136 46428045500 46600291200 47189161000 50797743900 52436380800 53825424000 54184260160 55713654600 56626993200 57189513000 57570776420 58250364000 59427898240 61002147200 63497179875 65021112192 65545476000 66619992000 67730325200 69084931704 69642068250 70783741500 71963470525 73067088000 74284872800 75502657600 76252684000 77667152000 81276390240 84662906500 86356164630 87393968000 89141847360 90603189120 91503220800 92113242272 92856091000 94378322000 101595487800 108368520320 111427309200 113253986400 114379026000 115141552840 116500728000 126994359750 131090952000 133239984000 135460650400 138169863408 139284136500 141567483000 143926941050 148569745600 151005315200 152505368000 162552780480 169325813000 172712329260 178283694720 183006441600 184226484544 185712182000 188756644000 203190975600 215890411575 222854618400 226507972800 228758052000 230283105680 233001456000 253988719500 262181904000 270921300800 276339726816 278568273000 283134966000 287853882100 297139491200 305010736000 325105560960 338651626000 345424658520 359817352625 368452969088 371424364000 377513288000 406381951200 431780823150 445709236800 453015945600 457516104000 460566211360 507977439000 541842601600 552679453632 557136546000 566269932000 575707764200 677303252000 690849317040 719634705250 742848728000 755026576000 812763902400 863561646300 891418473600 915032208000 921132422720 1015954878000 1079452057875 1105358907264 1114273092000 1132539864000 1151415528400 1354606504000 1381698634080 1439269410500 1485697456000 1625527804800 1727123292600 1842264845440 2031909756000 2158904115750 2228546184000 2265079728000 2302831056800 2709213008000 2763397268160 2878538821000 3454246585200 4063819512000 4317808231500 4457092368000 4605662113600 5526794536320 5757077642000 6908493170400 8127639024000 8635616463000 9211324227200 11514155284000 13816986340800 17271232926000 23028310568000 27633972681600 34542465852000 46056621136000 69084931704000 138169863408000
- Sum of all divisors σ(n): 513060967710720
- Sum of proper divisors (its aliquot sum) s(n): 374891104302720
- 138169863408000 is an abundant number, because the sum of its proper divisors (374891104302720) is greater than itself. Its abundance is 236721240894720
Bases of 138169863408000
- Binary: 111110110101010001011011010000010001001100000002
- Hexadecimal: 0x7DAA2DA08980
- Base-36: 1CZ6CX8DXC
Squares and roots of 138169863408000
- 138169863408000 squared (1381698634080002) is 19090911154185377374464000000
- 138169863408000 cubed (1381698634080003) is 2637788586508057219340624547213312000000000
-
The
square root of 138169863408000 is 11754567.7678083935 -
The
cube root of 138169863408000 is 51697.6865961491
Scales and comparisons
How big is 138169863408000?- 138,169,863,408,000 seconds is equal to 4,393,374 years, 13 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 138,169,863,408,000 would take you about ten million, nine hundred eighty-three thousand, four hundred thirty-five 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 138169863408000 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138169863408000
- 138169863408000 backwards is 000804368961831
- The number of decimal digits it has is: 15
- The sum of 138169863408000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 138169863408000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138169863408000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138169863408000/
Chicago style:
Numbermatics. 2024. "Number 138169863408000 - Facts about the integer". https://numbermatics.com/n/138169863408000/
The information we have on file for 138169863408000 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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