138136765824000
138,136,765,824,000 is an even composite number composed of seven prime numbers multiplied together.
138136765824000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 138136765824000:
210 × 33 × 53 × 19 × 31 × 79 × 859
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 31 × 79 × 859)See below for interesting mathematical facts about the number 138136765824000 from the Numbermatics database.
Names of 138136765824000
- Cardinal: 138136765824000 can be written as One hundred thirty-eight trillion, one hundred thirty-six billion, seven hundred sixty-five million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38136765824 × 1014
Factors of 138136765824000
Divisors of 138136765824000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 31 32 36 38 40 45 48 50 54 57 60 62 64 72 75 76 79 80 90 93 95 96 100 108 114 120 124 125 128 135 144 150 152 155 158 160 171 180 186 190 192 200 216 225 228 237 240 248 250 256 270 279 285 288 300 304 310 316 320 342 360 372 375 380 384 395 400 432 450 456 465 474 475 480 496 500 512 513 540 558 570 576 589 600 608 620 632 640 675 684 711 720 744 750 760 768 775 790 800 837 855 859 864 900 912 930 948 950 960 992 1000 1024 1026 1080 1116 1125 1140 1152 1178 1185 1200 1216 1240 1264 1280 1350 1368 1395 1422 1425 1440 1488 1500 1501 1520 1536 1550 1580 1600 1674 1710 1718 1728 1767 1800 1824 1860 1896 1900 1920 1975 1984 2000 2052 2133 2160 2232 2250 2280 2304 2325 2356 2370 2375 2400 2432 2449 2480 2528 2560 2565 2577 2700 2736 2790 2844 2850 2880 2945 2976 3000 3002 3040 3072 3100 3160 3200 3348 3375 3420 3436 3456 3534 3555 3600 3648 3720 3792 3800 3840 3875 3950 3968 4000 4104 4185 4266 4275 4295 4320 4464 4500 4503 4560 4608 4650 4712 4740 4750 4800 4864 4898 4960 5056 5120 5130 5154 5301 5400 5472 5580 5688 5700 5760 5890 5925 5952 6000 6004 6080 6200 6320 6400 6696 6750 6840 6872 6912 6975 7068 7110 7125 7200 7296 7347 7440 7505 7584 7600 7680 7731 7750 7900 7936 8000 8208 8370 8532 8550 8590 8640 8835 8928 9000 9006 9120 9216 9300 9424 9480 9500 9600 9728 9796 9875 9920 10112 10260 10308 10602 10665 10800 10944 11160 11376 11400 11520 11625 11780 11850 11904 12000 12008 12160 12245 12400 12640 12800 12825 12885 13392 13500 13509 13680 13744 13824 13950 14136 14220 14250 14400 14592 14694 14725 14880 15010 15168 15200 15360 15462 15500 15800 15872 15903 16000 16321 16416 16740 17064 17100 17180 17280 17670 17775 17856 18000 18012 18240 18600 18848 18960 19000 19200 19456 19592 19750 19840 20224 20520 20616 20925 21204 21330 21375 21475 21600 21888 22041 22320 22515 22752 22800 23040 23193 23250 23560 23700 23808 24000 24016 24320 24490 24800 25280 25600 25650 25770 26505 26629 26784 27000 27018 27360 27488 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26058624000 26801856000 26927244800 26979837075 27321354000 27850154400 28202688000 28399828500 28778492880 29081424384 29142777600 29315952000 29706831360 29977596750 30293150400 30676608000 30697059072 30944616000 31976103200 32162227200 32312693760 32380864000 33007590400 33659056000 34534191456 34812693000 34971333120 35648197632 35973116100 36351780480 36428472000 37133539200 37866438000 38371323840 38857036800 39087936000 39970129000 40202784000 40390867200 40929412096 41259488000 43167739320 43714166400 44560247040 44966395125 45439725600 46014912000 46045588608 46416924000 46905523200 47964154800 48469040640 48571296000 49511385600 50488584000 51161765120 53603712000 53854489600 53959674150 54642708000 55700308800 56405376000 56799657000 57556985760 58162848768 58285555200 58631904000 59413662720 59955193500 60586300800 61394118144 61889232000 63952206400 64761728000 67318112000 69068382912 69625386000 69942666240 71946232200 72703560960 72856944000 74267078400 75732876000 76742647680 78175872000 79940258000 80405568000 80781734400 82518976000 86335478640 87428332800 89120494080 89932790250 90879451200 92029824000 92091177216 92833848000 95928309600 96938081280 97142592000 99022771200 100977168000 102323530240 107919348300 109285416000 111400617600 113599314000 115113971520 116571110400 117263808000 119910387000 121172601600 122788236288 123778464000 127904412800 134636224000 134899185375 138136765824 139250772000 143892464400 145407121920 145713888000 148534156800 151465752000 153485295360 159880516000 160811136000 161563468800 165037952000 172670957280 174856665600 178240988160 179865580500 181758902400 184182354432 185667696000 191856619200 194285184000 201954336000 204647060480 215838696600 218570832000 222801235200 227198628000 230227943040 234527616000 239820774000 242345203200 247556928000 255808825600 269272448000 269798370750 276273531648 278501544000 287784928800 290814243840 291427776000 297068313600 302931504000 306970590720 319761032000 345341914560 349713331200 359731161000 363517804800 368364708864 371335392000 383713238400 403908672000 431677393200 437141664000 445602470400 454397256000 460455886080 479641548000 484690406400 495113856000 511617651200 539596741500 552547063296 557003088000 575569857600 582855552000 605863008000 613941181440 639522064000 690683829120 719462322000 727035609600 742670784000 767426476800 807817344000 863354786400 874283328000 891204940800 908794512000 920911772160 959283096000 1023235302400 1079193483000 1105094126592 1114006176000 1151139715200 1211726016000 1279044128000 1381367658240 1438924644000 1454071219200 1485341568000 1534852953600 1726709572800 1748566656000 1817589024000 1841823544320 1918566192000 2158386966000 2228012352000 2302279430400 2423452032000 2558088256000 2762735316480 2877849288000 3069705907200 3453419145600 3635178048000 3837132384000 4316773932000 4456024704000 4604558860800 5116176512000 5525470632960 5755698576000 6906838291200 7270356096000 7674264768000 8633547864000 9209117721600 11511397152000 13813676582400 15348529536000 17267095728000 23022794304000 27627353164800 34534191456000 46045588608000 69068382912000 138136765824000
- Sum of all divisors σ(n): 562433064960000
- Sum of proper divisors (its aliquot sum) s(n): 424296299136000
- 138136765824000 is an abundant number, because the sum of its proper divisors (424296299136000) is greater than itself. Its abundance is 286159533312000
Bases of 138136765824000
- Binary: 111110110100010011110001101101101111100000000002
- Hexadecimal: 0x7DA278DB7C00
- Base-36: 1CYR5JSAO0
Squares and roots of 138136765824000
- 138136765824000 squared (1381367658240002) is 19081766072314614398976000000
- 138136765824000 cubed (1381367658240003) is 2635893451439672138884206217396224000000000
-
The
square root of 138136765824000 is 11753159.8229582499 -
The
cube root of 138136765824000 is 51693.5583317905
Scales and comparisons
How big is 138136765824000?- 138,136,765,824,000 seconds is equal to 4,392,321 years, 45 weeks, 1 day.
-
To count from 1 to 138,136,765,824,000 would take you about ten million, nine hundred eighty thousand, eight hundred four 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 138136765824000 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138136765824000
- 138136765824000 backwards is 000428567631831
- 138136765824000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138136765824000's digits is 54
- More coming soon!
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The information we have on file for 138136765824000 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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