138377248768000
138,377,248,768,000 is an even composite number composed of six prime numbers multiplied together.
138377248768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138377248768000:
217 × 53 × 11 × 41 × 61 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 41 × 61 × 307)See below for interesting mathematical facts about the number 138377248768000 from the Numbermatics database.
Names of 138377248768000
- Cardinal: 138377248768000 can be written as One hundred thirty-eight trillion, three hundred seventy-seven billion, two hundred forty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38377248768 × 1014
Factors of 138377248768000
Divisors of 138377248768000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 61 64 80 82 88 100 110 122 125 128 160 164 176 200 205 220 244 250 256 275 305 307 320 328 352 400 410 440 451 488 500 512 550 610 614 640 656 671 704 800 820 880 902 976 1000 1024 1025 1100 1220 1228 1280 1312 1342 1375 1408 1525 1535 1600 1640 1760 1804 1952 2000 2048 2050 2200 2255 2440 2456 2501 2560 2624 2684 2750 2816 3050 3070 3200 3280 3355 3377 3520 3608 3904 4000 4096 4100 4400 4510 4880 4912 5002 5120 5125 5248 5368 5500 5632 6100 6140 6400 6560 6710 6754 7040 7216 7625 7675 7808 8000 8192 8200 8800 9020 9760 9824 10004 10240 10250 10496 10736 11000 11264 11275 12200 12280 12505 12587 12800 13120 13420 13508 14080 14432 15250 15350 15616 16000 16384 16400 16775 16885 17600 18040 18727 19520 19648 20008 20480 20500 20992 21472 22000 22528 22550 24400 24560 25010 25174 25600 26240 26840 27016 27511 28160 28864 30500 30700 31232 32000 32768 32800 33550 33770 35200 36080 37454 38375 39040 39296 40016 40960 41000 41984 42944 44000 45056 45100 48800 49120 50020 50348 51200 52480 53680 54032 55022 56320 56375 57728 61000 61400 62464 62525 62935 64000 65536 65600 67100 67540 70400 72160 74908 76750 78080 78592 80032 81920 82000 83875 83968 84425 85888 88000 90112 90200 93635 97600 98240 100040 100696 102400 104960 107360 108064 110044 112640 112750 115456 122000 122800 124928 125050 125870 128000 131072 131200 134200 135080 137555 138457 140800 144320 149816 153500 156160 157184 160064 163840 164000 167750 167936 168850 171776 176000 180224 180400 187270 195200 196480 200080 201392 204800 205997 209920 214720 216128 220088 225280 225500 230912 244000 245600 249856 250100 251740 256000 262400 268400 270160 275110 276914 281600 288640 299632 307000 312320 312625 314368 314675 320128 327680 328000 335500 335872 337700 343552 352000 360448 360800 374540 390400 392960 400160 402784 409600 411994 419840 422125 429440 432256 440176 450560 451000 461824 468175 488000 491200 499712 500200 503480 512000 524800 536800 540320 550220 553828 563200 577280 599264 614000 624640 625250 628736 629350 640256 655360 656000 671000 671744 675400 687104 687775 692285 704000 720896 721600 749080 767807 780800 785920 800320 805568 819200 823988 839680 844250 858880 864512 880352 901120 902000 923648 936350 976000 982400 999424 1000400 1006960 1024000 1029985 1049600 1073600 1080640 1100440 1107656 1126400 1154560 1198528 1228000 1249280 1250500 1257472 1258700 1280512 1312000 1342000 1343488 1350800 1374208 1375550 1384570 1408000 1441792 1443200 1498160 1535614 1561600 1571840 1573375 1600640 1611136 1638400 1647976 1679360 1688500 1717760 1729024 1760704 1802240 1804000 1847296 1872700 1952000 1964800 1998848 2000800 2013920 2048000 2059970 2099200 2147200 2161280 2200880 2215312 2252800 2309120 2340875 2397056 2456000 2498560 2501000 2514944 2517400 2561024 2624000 2684000 2686976 2701600 2748416 2751100 2769140 2816000 2886400 2996320 3071228 3123200 3143680 3146750 3201280 3222272 3276800 3295952 3358720 3377000 3435520 3438875 3458048 3461425 3521408 3604480 3608000 3694592 3745400 3839035 3904000 3929600 3997696 4001600 4027840 4096000 4119940 4198400 4294400 4322560 4401760 4430624 4505600 4618240 4681750 4794112 4912000 4997120 5002000 5029888 5034800 5122048 5149925 5248000 5368000 5373952 5403200 5496832 5502200 5538280 5632000 5772800 5992640 6142456 6246400 6287360 6293500 6402560 6444544 6591904 6717440 6754000 6871040 6877750 6916096 6922850 7042816 7208960 7216000 7389184 7490800 7678070 7808000 7859200 7995392 8003200 8055680 8192000 8239880 8396800 8445877 8588800 8645120 8803520 8861248 9011200 9236480 9363500 9588224 9824000 9994240 10004000 10059776 10069600 10244096 10299850 10496000 10736000 10806400 10993664 11004400 11076560 11264000 11545600 11985280 12284912 12492800 12574720 12587000 12805120 12889088 13183808 13434880 13508000 13742080 13755500 13832192 13845700 14085632 14432000 14778368 14981600 15356140 15616000 15718400 16006400 16111360 16384000 16479760 16793600 16891754 17177600 17290240 17307125 17607040 17722496 18022400 18472960 18727000 19176448 19195175 19648000 19988480 20008000 20119552 20139200 20488192 20599700 20992000 21472000 21612800 21987328 22008800 22153120 22528000 23091200 23970560 24569824 24985600 25149440 25174000 25610240 25749625 25778176 26367616 26869760 27016000 27484160 27511000 27664384 27691400 28171264 28864000 29556736 29963200 30712280 31232000 31436800 32012800 32222720 32959520 33587200 33783508 34355200 34580480 34614250 35214080 35444992 36044800 36945920 37454000 38352896 38390350 39296000 39976960 40016000 40239104 40278400 40976384 41199400 41984000 42229385 42944000 43225600 43974656 44017600 44306240 45056000 46182400 47941120 49139648 49971200 50298880 50348000 51220480 51499250 51556352 52735232 54032000 54968320 55022000 55328768 55382800 56342528 57728000 59113472 59926400 61424560 62464000 62873600 64025600 64445440 65919040 67174400 67567016 68710400 69160960 69228500 70428160 70889984 73891840 74908000 76705792 76780700 78592000 80032000 80556800 81952768 82398800 83968000 84458770 85888000 86451200 87949312 88035200 88612480 90112000 92364800 95882240 95975875 98279296 99942400 100597760 100696000 102440960 102998500 103112704 105470464 108064000 109936640 110044000 110657536 110765600 112685056 115456000 119852800 122849120 124928000 125747200 128051200 128890880 131838080 134348800 135134032 137420800 138321920 138457000 140856320 141779968 147783680 149816000 153411584 153561400 157184000 160064000 161113600 163905536 164797600 167936000 168917540 171776000 172902400 176070400 177224960 180224000 184729600 191764480 191951750 196558592 199884800 201195520 201392000 204881920 205997000 206225408 210940928 211146925 216128000 219873280 220088000 221315072 221531200 225370112 230912000 239705600 245698240 249856000 251494400 256102400 257781760 263676160 270268064 274841600 276643840 276914000 281712640 283559936 295567360 299632000 306823168 307122800 314368000 320128000 322227200 327811072 329595200 335872000 337835080 343552000 345804800 352140800 354449920 369459200 383528960 383903500 393117184 402784000 409763840 411994000 412450816 421881856 422293850 432256000 439746560 440176000 442630144 443062400 450740224 461824000 479411200 491396480 499712000 502988800 512204800 515563520 527352320 540536128 549683200 553287680 553828000 563425280 567119872 599264000 613646336 614245600 628736000 640256000 644454400 659190400 671744000 675670160 687104000 691609600 704281600 708899840 738918400 767057920 767807000 786234368 805568000 819527680 823988000 824901632 843763712 844587700 864512000 880352000 886124800 901480448 923648000 958822400 982792960 999424000 1005977600 1024409600 1031127040 1054704640 1055734625 1081072256 1099366400 1106575360 1107656000 1126850560 1134239744 1198528000 1227292672 1228491200 1257472000 1280512000 1288908800 1318380800 1351340320 1374208000 1383219200 1408563200 1417799680 1477836800 1534115840 1535614000 1572468736 1611136000 1639055360 1647976000 1649803264 1687527424 1689175400 1729024000 1760704000 1772249600 1802960896 1847296000 1917644800 1965585920 2048819200 2062254080 2109409280 2111469250 2162144512 2198732800 2213150720 2215312000 2253701120 2268479488 2397056000 2454585344 2456982400 2514944000 2561024000 2577817600 2636761600 2702680640 2748416000 2766438400 2817126400 2835599360 3068231680 3071228000 3144937472 3222272000 3295952000 3375054848 3378350800 3458048000 3521408000 3544499200 3605921792 3694592000 3835289600 3931171840 4097638400 4124508160 4218818560 4222938500 4324289024 4430624000 4507402240 4536958976 4794112000 4913964800 5029888000 5122048000 5155635200 5273523200 5405361280 5496832000 5532876800 5634252800 5671198720 6136463360 6142456000 6289874944 6444544000 6591904000 6750109696 6756701600 6916096000 7042816000 7088998400 7389184000 7670579200 7862343680 8195276800 8249016320 8437637120 8445877000 8648578048 8861248000 9014804480 9073917952 9588224000 9827929600 10244096000 10311270400 10547046400 10810722560 10993664000 11065753600 11268505600 11342397440 12272926720 12284912000 12579749888 12889088000 13183808000 13500219392 13513403200 13832192000 14085632000 14177996800 15341158400 15724687360 16875274240 16891754000 17297156096 17722496000 18029608960 18147835904 19176448000 19655859200 20488192000 20622540800 21094092800 21621445120 22537011200 22684794880 24569824000 25159499776 25778176000 26367616000 27000438784 27026806400 27664384000 28171264000 28355993600 30682316800 31449374720 33750548480 33783508000 34594312192 35444992000 38352896000 39311718400 40976384000 41245081600 42188185600 43242890240 45074022400 45369589760 49139648000 50318999552 51556352000 52735232000 54053612800 55328768000 56342528000 56711987200 61364633600 62898749440 67501096960 67567016000 69188624384 70889984000 76705792000 78623436800 84376371200 86485780480 90148044800 90739179520 98279296000 100637999104 103112704000 105470464000 108107225600 112685056000 113423974400 125797498880 135002193920 135134032000 138377248768 141779968000 153411584000 157246873600 168752742400 172971560960 196558592000 206225408000 210940928000 216214451200 225370112000 226847948800 251594997760 270268064000 276754497536 283559936000 306823168000 314493747200 337505484800 345943121920 393117184000 421881856000 432428902400 450740224000 453695897600 503189995520 540536128000 553508995072 567119872000 628987494400 675010969600 691886243840 786234368000 843763712000 864857804800 1081072256000 1107017990144 1134239744000 1257974988800 1383772487680 1572468736000 1687527424000 1729715609600 2162144512000 2268479488000 2515949977600 2767544975360 3144937472000 3375054848000 3459431219200 4324289024000 5535089950720 6289874944000 6918862438400 8648578048000 12579749888000 13837724876800 17297156096000 27675449753600 34594312192000 69188624384000 138377248768000
- Sum of all divisors σ(n): 393582523606272
- Sum of proper divisors (its aliquot sum) s(n): 255205274838272
- 138377248768000 is an abundant number, because the sum of its proper divisors (255205274838272) is greater than itself. Its abundance is 116828026070272
Bases of 138377248768000
- Binary: 111110111011010011101101100001000000000000000002
- Hexadecimal: 0x7DDA76C20000
- Base-36: 1D1TMP4DTS
Squares and roots of 138377248768000
- 138377248768000 squared (1383772487680002) is 19148262976600957517824000000
- 138377248768000 cubed (1383772487680003) is 2649683949388194861510931442040832000000000
-
The
square root of 138377248768000 is 11763385.9397709127 -
The
cube root of 138377248768000 is 51723.5387935849
Scales and comparisons
How big is 138377248768000?- 138,377,248,768,000 seconds is equal to 4,399,968 years, 25 weeks, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,377,248,768,000 would take you about ten million, nine hundred ninety-nine thousand, nine hundred twenty-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 138377248768000 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138377248768000
- 138377248768000 backwards is 000867842773831
- 138377248768000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138377248768000's digits is 64
- More coming soon!
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The information we have on file for 138377248768000 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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