138357672960000
138,357,672,960,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138357672960000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1120 divisors.
138357672960000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 138357672960000:
213 × 3 × 54 × 13 × 29 × 23893
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 29 × 23893)See below for interesting mathematical facts about the number 138357672960000 from the Numbermatics database.
Names of 138357672960000
- Cardinal: 138357672960000 can be written as One hundred thirty-eight trillion, three hundred fifty-seven billion, six hundred seventy-two million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3835767296 × 1014
Factors of 138357672960000
Divisors of 138357672960000
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 32 39 40 48 50 52 58 60 64 65 75 78 80 87 96 100 104 116 120 125 128 130 145 150 156 160 174 192 195 200 208 232 240 250 256 260 290 300 312 320 325 348 375 377 384 390 400 416 435 464 480 500 512 520 580 600 624 625 640 650 696 725 750 754 768 780 800 832 870 928 960 975 1000 1024 1040 1131 1160 1200 1248 1250 1280 1300 1392 1450 1500 1508 1536 1560 1600 1625 1664 1740 1856 1875 1885 1920 1950 2000 2048 2080 2175 2262 2320 2400 2496 2500 2560 2600 2784 2900 3000 3016 3072 3120 3200 3250 3328 3480 3625 3712 3750 3770 3840 3900 4000 4096 4160 4350 4524 4640 4800 4875 4992 5000 5120 5200 5568 5655 5800 6000 6032 6144 6240 6400 6500 6656 6960 7250 7424 7500 7540 7680 7800 8000 8125 8192 8320 8700 9048 9280 9425 9600 9750 9984 10000 10240 10400 10875 11136 11310 11600 12000 12064 12288 12480 12800 13000 13312 13920 14500 14848 15000 15080 15360 15600 16000 16250 16640 17400 18096 18125 18560 18850 19200 19500 19968 20000 20480 20800 21750 22272 22620 23200 23893 24000 24128 24375 24576 24960 25600 26000 26624 27840 28275 29000 29696 30000 30160 30720 31200 32000 32500 33280 34800 36192 36250 37120 37700 38400 39000 39936 40000 40960 41600 43500 44544 45240 46400 47125 47786 48000 48256 48750 49920 51200 52000 53248 54375 55680 56550 58000 59392 60000 60320 61440 62400 64000 65000 66560 69600 71679 72384 72500 74240 75400 76800 78000 79872 80000 83200 87000 89088 90480 92800 94250 95572 96000 96512 97500 99840 102400 104000 106496 108750 111360 113100 116000 118784 119465 120000 120640 122880 124800 128000 130000 133120 139200 141375 143358 144768 145000 148480 150800 153600 156000 159744 160000 166400 174000 178176 180960 185600 188500 191144 192000 193024 195000 199680 204800 208000 217500 222720 226200 232000 235625 237568 238930 240000 241280 249600 256000 260000 266240 278400 282750 286716 289536 290000 296960 301600 307200 310609 312000 319488 320000 332800 348000 356352 358395 361920 371200 377000 382288 384000 386048 390000 399360 416000 435000 445440 452400 464000 471250 477860 480000 482560 499200 512000 520000 532480 556800 565500 573432 579072 580000 593920 597325 603200 614400 621218 624000 640000 665600 692897 696000 706875 712704 716790 723840 742400 754000 764576 768000 772096 780000 798720 832000 870000 890880 904800 928000 931827 942500 955720 960000 965120 998400 1024000 1040000 1113600 1131000 1146864 1158144 1160000 1187840 1194650 1206400 1242436 1248000 1280000 1331200 1385794 1392000 1413750 1433580 1447680 1484800 1508000 1529152 1536000 1544192 1553045 1560000 1597440 1664000 1740000 1781760 1791975 1809600 1856000 1863654 1885000 1911440 1920000 1930240 1996800 2078691 2080000 2227200 2262000 2293728 2316288 2320000 2389300 2412800 2484872 2496000 2560000 2662400 2771588 2784000 2827500 2867160 2895360 2969600 2986625 3016000 3058304 3072000 3088384 3106090 3120000 3328000 3464485 3480000 3563520 3583950 3619200 3712000 3727308 3770000 3822880 3840000 3860480 3993600 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36030644 36192000 36699648 37120000 37273080 38228800 38604800 38826125 39757952 39936000 41573820 44345408 44544000 44799375 45038305 45240000 45874560 46325760 46591350 47786000 48256000 48932864 49697440 49920000 51967275 54045966 55431760 55680000 57343200 57907200 59636928 59732500 60320000 61166080 62121800 66518112 66560000 69289700 71679000 72061288 72384000 73399296 74240000 74546160 76457600 77209600 77652250 79515904 83147640 86612125 88690816 89088000 89598750 90076610 90480000 91749120 93182700 95572000 96512000 97865728 99394880 99840000 103934550 108091932 110863520 111360000 114686400 115814400 116478375 119273856 119465000 120640000 122332160 124243600 133036224 135114915 138579400 143358000 144122576 144768000 146798592 148480000 149092320 152915200 155304500 159031808 166295280 173224250 177381632 179197500 180153220 180960000 183498240 186365400 191144000 193024000 194130625 195731456 198789760 199680000 207869100 216183864 221727040 222720000 225191525 229372800 231628800 232956750 238547712 238930000 241280000 244664320 248487200 259836375 266072448 270229830 277158800 286716000 288245152 289536000 293597184 298184640 305830400 310609000 318063616 332590560 346448500 354763264 358395000 360306440 361920000 366996480 372730800 382288000 386048000 388261250 397579520 415738200 432367728 433060625 443454080 445440000 450383050 458745600 465913500 477095424 477860000 482560000 489328640 496974400 519672750 532144896 540459660 554317600 573432000 576490304 579072000 582391875 587194368 596369280 611660800 621218000 636127232 665181120 675574575 692897000 709526528 716790000 720612880 723840000 733992960 745461600 764576000 776522500 795159040 831476400 864735456 866121250 886908160 900766100 917491200 931827000 954190848 955720000 965120000 978657280 993948800 1039345500 1064289792 1080919320 1108635200 1125957625 1146864000 1152980608 1158144000 1164783750 1192738560 1223321600 1242436000 1272254464 1299181875 1330362240 1351149150 1385794000 1419053056 1433580000 1441225760 1447680000 1467985920 1490923200 1529152000 1553045000 1590318080 1662952800 1729470912 1732242500 1773816320 1801532200 1834982400 1863654000 1908381696 1911440000 1930240000 1987897600 2078691000 2128579584 2161838640 2217270400 2251915250 2293728000 2305961216 2329567500 2385477120 2446643200 2484872000 2544508928 2598363750 2660724480 2702298300 2771588000 2838106112 2867160000 2882451520 2895360000 2935971840 2981846400 3058304000 3106090000 3180636160 3325905600 3377872875 3458941824 3464485000 3547632640 3603064400 3669964800 3727308000 3816763392 3822880000 3975795200 4157382000 4257159168 4323677280 4434540800 4503830500 4587456000 4611922432 4659135000 4770954240 4893286400 4969744000 5196727500 5321448960 5404596600 5543176000 5629788125 5676212224 5734320000 5764903040 5790720000 5963692800 6116608000 6212180000 6361272320 6651811200 6755745750 6917883648 6928970000 7095265280 7206128800 7339929600 7454616000 7633526784 7645760000 7951590400 8314764000 8514318336 8647354560 8869081600 9007661000 9174912000 9223844864 9318270000 9541908480 9939488000 10393455000 10642897920 10809193200 11086352000 11259576250 11468640000 11529806080 11927385600 12233216000 12424360000 12722544640 13303622400 13511491500 13835767296 13857940000 14190530560 14412257600 14679859200 14909232000 15291520000 15903180800 16629528000 16889364375 17028636672 17294709120 17738163200 18015322000 18349824000 18447689728 18636540000 19083816960 19878976000 20786910000 21285795840 21618386400 22172704000 22519152500 22937280000 23059612160 23854771200 24466432000 24848720000 26607244800 27022983000 27671534592 27715880000 28381061120 28824515200 29818464000 30583040000 31806361600 33259056000 33778728750 34589418240 35476326400 36030644000 36699648000 36895379456 37273080000 38167633920 39757952000 41573820000 42571591680 43236772800 44345408000 45038305000 45874560000 46119224320 47709542400 49697440000 53214489600 54045966000 55343069184 55431760000 57649030400 59636928000 61166080000 63612723200 66518112000 67557457500 69178836480 70952652800 72061288000 73399296000 73790758912 74546160000 79515904000 83147640000 85143183360 86473545600 88690816000 90076610000 91749120000 92238448640 95419084800 99394880000 106428979200 108091932000 110686138368 110863520000 115298060800 119273856000 122332160000 133036224000 135114915000 138357672960 141905305600 144122576000 149092320000 159031808000 166295280000 172947091200 177381632000 180153220000 183498240000 184476897280 190838169600 198789760000 212857958400 216183864000 221372276736 221727040000 230596121600 238547712000 266072448000 270229830000 276715345920 288245152000 298184640000 318063616000 332590560000 345894182400 354763264000 360306440000 366996480000 368953794560 397579520000 425715916800 432367728000 443454080000 461192243200 477095424000 532144896000 540459660000 553430691840 576490304000 596369280000 665181120000 691788364800 709526528000 720612880000 795159040000 864735456000 886908160000 922384486400 954190848000 1064289792000 1080919320000 1106861383680 1152980608000 1192738560000 1330362240000 1383576729600 1441225760000 1590318080000 1729470912000 1773816320000 1844768972800 2128579584000 2161838640000 2305961216000 2385477120000 2660724480000 2767153459200 2882451520000 3458941824000 3547632640000 4323677280000 4611922432000 4770954240000 5321448960000 5534306918400 5764903040000 6917883648000 8647354560000 9223844864000 10642897920000 11529806080000 13835767296000 17294709120000 23059612160000 27671534592000 34589418240000 46119224320000 69178836480000 138357672960000
- Sum of all divisors σ(n): 513620803856160
- Sum of proper divisors (its aliquot sum) s(n): 375263130896160
- 138357672960000 is an abundant number, because the sum of its proper divisors (375263130896160) is greater than itself. Its abundance is 236905457936160
Bases of 138357672960000
- Binary: 111110111010101111001111111001011100000000000002
- Hexadecimal: 0x7DD5E7F2E000
- Base-36: 1D1KMY6VPC
Squares and roots of 138357672960000
- 138357672960000 squared (1383576729600002) is 19142845666906315161600000000
- 138357672960000 cubed (1383576729600003) is 2648559580305577048087342350336000000000000
-
The
square root of 138357672960000 is 11762553.8451477449 -
The
cube root of 138357672960000 is 51721.0996213853
Scales and comparisons
How big is 138357672960000?- 138,357,672,960,000 seconds is equal to 4,399,346 years, 1 week, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 138,357,672,960,000 would take you about ten million, nine hundred ninety-eight thousand, three hundred sixty-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 138357672960000 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138357672960000
- 138357672960000 backwards is 000069276753831
- The number of decimal digits it has is: 15
- The sum of 138357672960000's digits is 57
- More coming soon!
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The information we have on file for 138357672960000 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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