138346364928000
138,346,364,928,000 is an even composite number composed of five prime numbers multiplied together.
138346364928000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138346364928000:
220 × 3 × 53 × 372 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 37 × 257)See below for interesting mathematical facts about the number 138346364928000 from the Numbermatics database.
Names of 138346364928000
- Cardinal: 138346364928000 can be written as One hundred thirty-eight trillion, three hundred forty-six billion, three hundred sixty-four million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38346364928 × 1014
Factors of 138346364928000
Divisors of 138346364928000
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 125 128 148 150 160 185 192 200 222 240 250 256 257 296 300 320 370 375 384 400 444 480 500 512 514 555 592 600 640 740 750 768 771 800 888 925 960 1000 1024 1028 1110 1184 1200 1280 1285 1369 1480 1500 1536 1542 1600 1776 1850 1920 2000 2048 2056 2220 2368 2400 2560 2570 2738 2775 2960 3000 3072 3084 3200 3552 3700 3840 3855 4000 4096 4107 4112 4440 4625 4736 4800 5120 5140 5476 5550 5920 6000 6144 6168 6400 6425 6845 7104 7400 7680 7710 8000 8192 8214 8224 8880 9250 9472 9509 9600 10240 10280 10952 11100 11840 12000 12288 12336 12800 12850 13690 13875 14208 14800 15360 15420 16000 16384 16428 16448 17760 18500 18944 19018 19200 19275 20480 20535 20560 21904 22200 23680 24000 24576 24672 25600 25700 27380 27750 28416 28527 29600 30720 30840 32000 32125 32768 32856 32896 34225 35520 37000 37888 38036 38400 38550 40960 41070 41120 43808 44400 47360 47545 48000 49152 49344 51200 51400 54760 55500 56832 57054 59200 61440 61680 64000 64250 65536 65712 65792 68450 71040 74000 75776 76072 76800 77100 81920 82140 82240 87616 88800 94720 95090 96000 96375 98304 98688 102400 102675 102800 109520 111000 113664 114108 118400 122880 123360 128000 128500 131072 131424 131584 136900 142080 142635 148000 151552 152144 153600 154200 163840 164280 164480 171125 175232 177600 189440 190180 192000 192750 196608 197376 204800 205350 205600 219040 222000 227328 228216 236800 237725 245760 246720 256000 257000 262144 262848 263168 273800 284160 285270 296000 303104 304288 307200 308400 327680 328560 328960 342250 350464 351833 355200 378880 380360 384000 385500 393216 394752 409600 410700 411200 438080 444000 454656 456432 473600 475450 491520 493440 512000 513375 514000 524288 525696 526336 547600 568320 570540 592000 606208 608576 614400 616800 655360 657120 657920 684500 700928 703666 710400 713175 757760 760720 768000 771000 786432 789504 819200 821400 822400 876160 888000 909312 912864 947200 950900 983040 986880 1024000 1026750 1028000 1048576 1051392 1052672 1055499 1095200 1136640 1141080 1184000 1188625 1212416 1217152 1228800 1233600 1310720 1314240 1315840 1369000 1401856 1407332 1420800 1426350 1515520 1521440 1536000 1542000 1572864 1579008 1638400 1642800 1644800 1752320 1759165 1776000 1818624 1825728 1894400 1901800 1966080 1973760 2048000 2053500 2056000 2102784 2105344 2110998 2190400 2273280 2282160 2368000 2377250 2424832 2434304 2457600 2467200 2621440 2628480 2631680 2738000 2803712 2814664 2841600 2852700 3031040 3042880 3072000 3084000 3145728 3158016 3276800 3285600 3289600 3504640 3518330 3552000 3565875 3637248 3651456 3788800 3803600 3932160 3947520 4096000 4107000 4112000 4205568 4210688 4221996 4380800 4546560 4564320 4736000 4754500 4849664 4868608 4915200 4934400 5242880 5256960 5263360 5277495 5476000 5607424 5629328 5683200 5705400 6062080 6085760 6144000 6168000 6316032 6553600 6571200 6579200 7009280 7036660 7104000 7131750 7274496 7302912 7577600 7607200 7864320 7895040 8192000 8214000 8224000 8411136 8421376 8443992 8761600 8795825 9093120 9128640 9472000 9509000 9699328 9737216 9830400 9868800 10513920 10526720 10554990 10952000 11214848 11258656 11366400 11410800 12124160 12171520 12288000 12336000 12632064 13107200 13142400 13158400 14018560 14073320 14208000 14263500 14548992 14605824 15155200 15214400 15728640 15790080 16384000 16428000 16448000 16822272 16842752 16887984 17523200 17591650 18186240 18257280 18944000 19018000 19398656 19474432 19660800 19737600 21027840 21053440 21109980 21904000 22429696 22517312 22732800 22821600 24248320 24343040 24576000 24672000 25264128 26214400 26284800 26316800 26387475 28037120 28146640 28416000 28527000 29097984 29211648 30310400 30428800 31580160 32768000 32856000 32896000 33644544 33685504 33775968 35046400 35183300 36372480 36514560 37888000 38036000 38797312 38948864 39321600 39475200 42055680 42106880 42219960 43808000 43979125 44859392 45034624 45465600 45643200 48496640 48686080 49152000 49344000 50528256 52569600 52633600 52774950 56074240 56293280 56832000 57054000 58195968 58423296 60620800 60857600 63160320 65536000 65712000 65792000 67289088 67371008 67551936 70092800 70366600 72744960 73029120 75776000 76072000 77897728 78643200 78950400 84111360 84213760 84439920 87616000 87958250 89718784 90069248 90931200 91286400 96993280 97372160 98304000 98688000 101056512 105139200 105267200 105549900 112148480 112586560 113664000 114108000 116391936 116846592 121241600 121715200 126320640 131072000 131424000 131584000 131937375 134578176 134742016 135103872 140185600 140733200 145489920 146058240 151552000 152144000 155795456 157900800 168222720 168427520 168879840 175232000 175916500 179437568 180138496 181862400 182572800 193986560 194744320 196608000 197376000 202113024 210278400 210534400 211099800 224296960 225173120 227328000 228216000 233693184 242483200 243430400 252641280 262848000 263168000 263874750 269156352 269484032 270207744 280371200 281466400 290979840 292116480 303104000 304288000 311590912 315801600 336445440 336855040 337759680 350464000 351833000 358875136 360276992 363724800 365145600 389488640 393216000 394752000 404226048 420556800 421068800 422199600 448593920 450346240 454656000 456432000 467386368 484966400 486860800 505282560 525696000 526336000 527749500 538312704 540415488 560742400 562932800 581959680 584232960 606208000 608576000 623181824 631603200 672890880 673710080 675519360 700928000 703666000 717750272 720553984 727449600 730291200 778977280 789504000 808452096 841113600 842137600 844399200 897187840 900692480 909312000 912864000 934772736 969932800 973721600 1010565120 1051392000 1052672000 1055499000 1076625408 1080830976 1121484800 1125865600 1168465920 1212416000 1217152000 1246363648 1263206400 1345781760 1347420160 1351038720 1401856000 1407332000 1435500544 1441107968 1454899200 1460582400 1557954560 1579008000 1682227200 1684275200 1688798400 1794375680 1801384960 1818624000 1825728000 1869545472 1947443200 2021130240 2102784000 2105344000 2110998000 2153250816 2161661952 2242969600 2251731200 2336931840 2424832000 2434304000 2492727296 2526412800 2691563520 2702077440 2803712000 2814664000 2882215936 2909798400 2921164800 3115909120 3158016000 3364454400 3368550400 3377596800 3588751360 3602769920 3637248000 3651456000 3739090944 3894886400 4042260480 4205568000 4210688000 4221996000 4306501632 4323323904 4485939200 4503462400 4673863680 4849664000 4868608000 4985454592 5052825600 5383127040 5404154880 5607424000 5629328000 5764431872 5842329600 6231818240 6316032000 6728908800 6737100800 6755193600 7177502720 7205539840 7274496000 7302912000 7478181888 7789772800 8411136000 8421376000 8443992000 8646647808 8971878400 9006924800 9347727360 9737216000 9970909184 10105651200 10766254080 10808309760 11214848000 11258656000 11528863744 11684659200 12463636480 12632064000 13457817600 13510387200 14411079680 14548992000 14605824000 14956363776 15579545600 16822272000 16842752000 16887984000 17293295616 17943756800 18013849600 18695454720 19474432000 20211302400 21532508160 21616619520 22429696000 22517312000 23057727488 23369318400 24927272960 25264128000 26915635200 27020774400 28822159360 29211648000 29912727552 31159091200 33644544000 33685504000 33775968000 34586591232 35887513600 36027699200 37390909440 38948864000 43233239040 44859392000 45034624000 46115454976 46738636800 49854545920 50528256000 53831270400 54041548800 57644318720 58423296000 62318182400 67289088000 67551936000 69173182464 72055398400 74781818880 77897728000 86466478080 89718784000 90069248000 92230909952 93477273600 101056512000 107662540800 108083097600 115288637440 116846592000 124636364800 134578176000 135103872000 138346364928 144110796800 149563637760 155795456000 172932956160 179437568000 180138496000 184461819904 186954547200 216166195200 230577274880 233693184000 249272729600 269156352000 270207744000 276692729856 288221593600 311590912000 345865912320 360276992000 368923639808 373909094400 432332390400 461154549760 467386368000 538312704000 540415488000 553385459712 576443187200 623181824000 691731824640 720553984000 747818188800 864664780800 922309099520 934772736000 1080830976000 1106770919424 1152886374400 1246363648000 1383463649280 1441107968000 1729329561600 1844618199040 1869545472000 2161661952000 2305772748800 2766927298560 2882215936000 3458659123200 3739090944000 4323323904000 4611545497600 5533854597120 5764431872000 6917318246400 8646647808000 9223090995200 11528863744000 13834636492800 17293295616000 23057727488000 27669272985600 34586591232000 46115454976000 69173182464000 138346364928000
- Sum of all divisors σ(n): 475037719045344
- Sum of proper divisors (its aliquot sum) s(n): 336691354117344
- 138346364928000 is an abundant number, because the sum of its proper divisors (336691354117344) is greater than itself. Its abundance is 198344989189344
Bases of 138346364928000
- Binary: 111110111010011010001011111000000000000000000002
- Hexadecimal: 0x7DD345F00000
- Base-36: 1D1FFXOIDC
Squares and roots of 138346364928000
- 138346364928000 squared (1383463649280002) is 19139716688791348445184000000
- 138346364928000 cubed (1383463649280003) is 2647910229646059699246631068106752000000000
-
The
square root of 138346364928000 is 11762073.1560384371 -
The
cube root of 138346364928000 is 51719.6905204381
Scales and comparisons
How big is 138346364928000?- 138,346,364,928,000 seconds is equal to 4,398,986 years, 24 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 138,346,364,928,000 would take you about ten million, nine hundred ninety-seven thousand, four hundred sixty-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 138346364928000 cubic inches would be around 4310 feet tall.
Recreational maths with 138346364928000
- 138346364928000 backwards is 000829463643831
- The number of decimal digits it has is: 15
- The sum of 138346364928000's digits is 57
- More coming soon!
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The information we have on file for 138346364928000 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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