137984090400000
137,984,090,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137984090400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
137984090400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 137984090400000:
28 × 32 × 55 × 13 × 172 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 17 × 17 × 5101)See below for interesting mathematical facts about the number 137984090400000 from the Numbermatics database.
Names of 137984090400000
- Cardinal: 137984090400000 can be written as One hundred thirty-seven trillion, nine hundred eighty-four billion, ninety million, four hundred thousand.
Scientific notation
- Scientific notation: 1.379840904 × 1014
Factors of 137984090400000
Divisors of 137984090400000
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 45 48 50 51 52 60 64 65 68 72 75 78 80 85 90 96 100 102 104 117 120 125 128 130 136 144 150 153 156 160 170 180 192 195 200 204 208 221 225 234 240 250 255 256 260 272 288 289 300 306 312 320 325 340 360 375 384 390 400 408 416 425 442 450 468 480 500 510 520 544 576 578 585 600 612 624 625 640 650 663 680 720 750 765 768 780 800 816 832 850 867 884 900 936 960 975 1000 1020 1040 1088 1105 1125 1152 1156 1170 1200 1224 1248 1250 1275 1280 1300 1326 1360 1440 1445 1500 1530 1560 1600 1625 1632 1664 1700 1734 1768 1800 1872 1875 1920 1950 1989 2000 2040 2080 2125 2176 2210 2250 2304 2312 2340 2400 2448 2496 2500 2550 2600 2601 2652 2720 2880 2890 2925 3000 3060 3120 3125 3200 3250 3264 3315 3328 3400 3468 3536 3600 3744 3750 3757 3825 3840 3900 3978 4000 4080 4160 4250 4335 4352 4420 4500 4624 4680 4800 4875 4896 4992 5000 5100 5101 5200 5202 5304 5440 5525 5625 5760 5780 5850 6000 6120 6240 6250 6375 6400 6500 6528 6630 6800 6936 7072 7200 7225 7488 7500 7514 7650 7800 7956 8000 8125 8160 8320 8500 8670 8840 9000 9248 9360 9375 9600 9750 9792 9945 9984 10000 10200 10202 10400 10404 10608 10625 10880 11050 11250 11271 11520 11560 11700 12000 12240 12480 12500 12750 13000 13005 13056 13260 13600 13872 14144 14400 14450 14625 14976 15000 15028 15300 15303 15600 15912 16000 16250 16320 16575 16640 17000 17340 17680 18000 18496 18720 18750 18785 19125 19200 19500 19584 19890 20000 20400 20404 20800 20808 21216 21250 21675 21760 22100 22500 22542 23120 23400 24000 24375 24480 24960 25000 25500 25505 26000 26010 26520 27200 27625 27744 28125 28288 28800 28900 29250 29952 30000 30056 30600 30606 31200 31824 31875 32000 32500 32640 33150 33813 34000 34680 35360 36000 36125 36992 37440 37500 37570 38250 39000 39168 39780 40000 40625 40800 40808 41600 41616 42432 42500 43350 44200 45000 45084 45909 46240 46800 48000 48750 48960 49725 49920 50000 51000 51010 52000 52020 53040 53125 54400 55250 55488 56250 56355 56576 57600 57800 58500 60000 60112 61200 61212 62400 63648 63750 65000 65025 65280 66300 66313 67626 68000 69360 70720 72000 72250 73125 73984 74880 75000 75140 76500 76515 78000 79560 80000 81250 81600 81616 82875 83200 83232 84864 85000 86700 86717 88400 90000 90168 91818 92480 93600 93925 95625 96000 97500 97920 99450 100000 102000 102020 104000 104040 106080 106250 108375 108800 110500 110976 112500 112710 115600 117000 120000 120224 121875 122400 122424 124800 127296 127500 127525 130000 130050 132600 132626 135252 136000 138125 138720 141440 144000 144500 146250 149760 150000 150280 153000 153030 156000 159120 159375 160000 162500 163200 163232 165750 166464 169065 169728 170000 173400 173434 176800 180000 180336 180625 183636 184960 187200 187850 191250 195000 195840 198900 198939 200000 204000 204040 208000 208080 212160 212500 216750 221000 221952 225000 225420 229545 231200 234000 240000 240448 243750 244800 244848 248625 249600 254592 255000 255050 260000 260100 260151 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1014588900000 1061416080000 1078000706250 1103872723200 1149867420000 1179351200000 1326770100000 1352785200000 1379840904000 1437334275000 1533156560000 1623342240000 1724801130000 1769026800000 1839787872000 1916445700000 2029177800000 2122832160000 2156001412500 2299734840000 2653540200000 2705570400000 2759681808000 2874668550000 3066313120000 3449602260000 3538053600000 3832891400000 4058355600000 4312002825000 4599469680000 5307080400000 5519363616000 5749337100000 6899204520000 7665782800000 8116711200000 8624005650000 9198939360000 10614160800000 11498674200000 13798409040000 15331565600000 17248011300000 22997348400000 27596818080000 34496022600000 45994696800000 68992045200000 137984090400000
- Sum of all divisors σ(n): 568988327056968
- Sum of proper divisors (its aliquot sum) s(n): 431004236656968
- 137984090400000 is an abundant number, because the sum of its proper divisors (431004236656968) is greater than itself. Its abundance is 293020146256968
Bases of 137984090400000
- Binary: 111110101111110111011001011000101100101000000002
- Hexadecimal: 0x7D7EECB16500
- Base-36: 1CWT0KS3K0
Squares and roots of 137984090400000
- 137984090400000 squared (1379840904000002) is 19039609203515372160000000000
- 137984090400000 cubed (1379840904000003) is 2627163157518537109915083264000000000000000
-
The
square root of 137984090400000 is 11746662.9474076595 -
The
cube root of 137984090400000 is 51674.5065721339
Scales and comparisons
How big is 137984090400000?- 137,984,090,400,000 seconds is equal to 4,387,467 years, 13 weeks, 4 days, 8 hours.
-
To count from 1 to 137,984,090,400,000 would take you about ten million, nine hundred sixty-eight thousand, six hundred sixty-eight 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 137984090400000 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137984090400000
- 137984090400000 backwards is 000004090489731
- 137984090400000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137984090400000's digits is 45
- More coming soon!
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The information we have on file for 137984090400000 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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