137338027904000
137,338,027,904,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137338027904000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3168 divisors.
137338027904000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 137338027904000:
210 × 53 × 72 × 112 × 37 × 67 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 37 × 67 × 73)See below for interesting mathematical facts about the number 137338027904000 from the Numbermatics database.
Names of 137338027904000
- Cardinal: 137338027904000 can be written as One hundred thirty-seven trillion, three hundred thirty-eight billion, twenty-seven million, nine hundred four thousand.
Scientific notation
- Scientific notation: 1.37338027904 × 1014
Factors of 137338027904000
Divisors of 137338027904000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 37 40 44 49 50 55 56 64 67 70 73 74 77 80 88 98 100 110 112 121 125 128 134 140 146 148 154 160 175 176 185 196 200 220 224 242 245 250 256 259 268 275 280 292 296 308 320 335 350 352 365 370 385 392 400 407 440 448 469 484 490 500 511 512 518 536 539 550 560 584 592 605 616 640 670 700 704 730 737 740 770 784 800 803 814 847 875 880 896 925 938 968 980 1000 1022 1024 1036 1072 1078 1100 1120 1168 1184 1210 1225 1232 1280 1295 1340 1375 1400 1408 1460 1474 1480 1540 1568 1600 1606 1628 1675 1694 1750 1760 1792 1813 1825 1850 1876 1925 1936 1960 2000 2035 2044 2072 2144 2156 2200 2240 2336 2345 2368 2420 2450 2464 2479 2555 2560 2590 2680 2695 2701 2750 2800 2816 2849 2920 2948 2960 3025 3080 3136 3200 3212 3256 3283 3350 3388 3500 3520 3577 3584 3626 3650 3685 3700 3752 3850 3872 3920 4000 4015 4070 4088 4144 4235 4288 4312 4400 4477 4480 4625 4672 4690 4736 4840 4891 4900 4928 4958 5110 5120 5159 5180 5360 5390 5402 5500 5600 5621 5632 5698 5840 5896 5920 5929 6050 6125 6160 6272 6400 6424 6475 6512 6566 6700 6776 7000 7040 7154 7168 7252 7300 7370 7400 7504 7700 7744 7840 8000 8030 8107 8140 8176 8288 8375 8470 8576 8624 8800 8833 8954 8960 9065 9125 9250 9344 9380 9472 9625 9680 9782 9800 9856 9916 10175 10220 10318 10360 10720 10780 10804 11000 11200 11242 11264 11396 11680 11725 11792 11840 11858 12100 12250 12320 12395 12544 12775 12800 12848 12950 13024 13132 13400 13475 13505 13552 14000 14080 14245 14308 14504 14600 14740 14800 15008 15125 15400 15488 15680 16000 16060 16214 16280 16352 16415 16576 16750 16940 17152 17248 17353 17600 17666 17885 17908 17920 18130 18250 18425 18500 18688 18760 18907 18944 19250 19360 19564 19600 19712 19832 19943 20075 20350 20440 20636 20720 21175 21440 21560 21608 22000 22385 22400 22484 22792 23360 23450 23584 23680 23716 24200 24455 24500 24640 24790 25088 25550 25600 25696 25795 25900 26048 26264 26800 26950 27010 27104 27269 28000 28105 28160 28490 28616 29008 29200 29480 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51245532800 53026265600 53647667150 53752652800 55400576000 55737836000 56056337920 56751251200 57997478000 58566323200 58791964000 61311619600 62426376320 63700384000 64056916000 66282832000 67190816000 67487974400 68669013952 70070422400 70939064000 71344430080 73207904000 74236771840 75253713920 75751808000 76639524500 78032970400 78478873088 81073216000 81992852480 84359968000 85515584000 85836267440 87588028000 89180537600 92795964800 93173696000 94067142400 97541213000 98098591360 99882202112 102491065600 106052531200 107295334300 111475672000 112112675840 113502502400 115994956000 117583928000 122623239200 124852752640 127400768000 128113832000 132565664000 134119167875 134381632000 137338027904 140140844800 141878128000 146415808000 148473543680 153279049000 156065940800 156957746176 162146432000 168719936000 171031168000 171672534880 175176056000 178361075200 185591929600 186347392000 188134284800 195082426000 196197182720 204982131200 214590668600 222951344000 227005004800 231989912000 235167856000 245246478400 249705505280 254801536000 256227664000 265131328000 268238335750 268763264000 274676055808 280281689600 283756256000 292831616000 306558098000 312131881600 337439872000 343345069760 350352112000 356722150400 371183859200 376268569600 390164852000 392394365440 409964262400 429181337200 445902688000 463979824000 470335712000 490492956800 499411010560 512455328000 530262656000 536476671500 549352111616 560563379200 567512512000 613116196000 624263763200 686690139520 700704224000 742367718400 780329704000 784788730880 858362674400 891805376000 927959648000 940671424000 980985913600 1024910656000 1072953343000 1098704223232 1135025024000 1226232392000 1248527526400 1373380279040 1401408448000 1560659408000 1716725348800 1783610752000 1855919296000 1881342848000 1961971827200 2049821312000 2145906686000 2452464784000 2497055052800 2746760558080 2802816896000 3121318816000 3433450697600 3711838592000 3923943654400 4291813372000 4904929568000 5493521116160 6242637632000 6866901395200 8583626744000 9809859136000 12485275264000 13733802790400 17167253488000 19619718272000 27467605580800 34334506976000 68669013952000 137338027904000
- Sum of all divisors σ(n): 462906380244672
- Sum of proper divisors (its aliquot sum) s(n): 325568352340672
- 137338027904000 is an abundant number, because the sum of its proper divisors (325568352340672) is greater than itself. Its abundance is 188230324436672
Bases of 137338027904000
- Binary: 111110011101000100000000101111000001100000000002
- Hexadecimal: 0x7CE8805E0C00
- Base-36: 1COK7VUN7K
Squares and roots of 137338027904000
- 137338027904000 squared (1373380279040002) is 18861733908559882633216000000
- 137338027904000 cubed (1373380279040003) is 2590433337851620145535584005259264000000000
-
The
square root of 137338027904000 is 11719130.8510486391 -
The
cube root of 137338027904000 is 51593.7310734397
Scales and comparisons
How big is 137338027904000?- 137,338,027,904,000 seconds is equal to 4,366,924 years, 24 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 137,338,027,904,000 would take you about ten million, nine hundred seventeen thousand, three hundred eleven 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 137338027904000 cubic inches would be around 4299.5 feet tall.
Recreational maths with 137338027904000
- 137338027904000 backwards is 000409720833731
- The number of decimal digits it has is: 15
- The sum of 137338027904000's digits is 47
- More coming soon!
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"Number 137338027904000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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The information we have on file for 137338027904000 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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