137390396940912640000
137,390,396,940,912,640,000 is an even composite number composed of five prime numbers multiplied together.
137390396940912640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 137390396940912640000:
214 × 54 × 72 × 1512 × 2293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 151 × 151 × 229 × 229 × 229)See below for interesting mathematical facts about the number 137390396940912640000 from the Numbermatics database.
Names of 137390396940912640000
- Cardinal: 137390396940912640000 can be written as One hundred thirty-seven quintillion, three hundred ninety quadrillion, three hundred ninety-six trillion, nine hundred forty billion, nine hundred twelve million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3739039694091264 × 1020
Factors of 137390396940912640000
Divisors of 137390396940912640000
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 151 160 175 196 200 224 229 245 250 256 280 302 320 350 392 400 448 458 490 500 512 560 604 625 640 700 755 784 800 875 896 916 980 1000 1024 1057 1120 1145 1208 1225 1250 1280 1400 1510 1568 1600 1603 1750 1792 1832 1960 2000 2048 2114 2240 2290 2416 2450 2500 2560 2800 3020 3136 3200 3206 3500 3584 3664 3775 3920 4000 4096 4228 4375 4480 4580 4832 4900 5000 5120 5285 5600 5725 6040 6125 6272 6400 6412 7000 7168 7328 7399 7550 7840 8000 8015 8192 8456 8750 8960 9160 9664 9800 10000 10240 10570 11200 11221 11450 12080 12250 12544 12800 12824 14000 14336 14656 14798 15100 15680 16000 16030 16384 16912 17500 17920 18320 18875 19328 19600 20000 20480 21140 22400 22442 22801 22900 24160 24500 25088 25600 25648 26425 28000 28625 28672 29312 29596 30200 30625 31360 32000 32060 33824 34579 35000 35840 36640 36995 37750 38656 39200 40000 40075 40960 42280 44800 44884 45602 45800 48320 49000 50176 51200 51296 52441 52850 56000 56105 57250 57344 58624 59192 60400 61250 62720 64000 64120 67648 69158 70000 71680 73280 73990 75500 77312 78400 80000 80150 81920 84560 89600 89768 91204 91600 94375 96640 98000 100352 102400 102592 104882 105700 112000 112210 114005 114500 114688 117248 118384 120800 122500 125440 128000 128240 132125 135296 138316 140000 143125 143360 146560 147980 151000 154624 156800 159607 160000 160300 169120 172895 179200 179536 182408 183200 184975 188750 193280 196000 200375 200704 204800 205184 209764 211400 224000 224420 228010 229000 234496 236768 241600 242053 245000 250880 256000 256480 262205 264250 270592 276632 280000 280525 286250 286720 293120 295960 302000 309248 313600 319214 320000 320600 338240 345790 358400 359072 364816 366400 367087 369950 377500 386560 392000 400750 401408 409600 410368 419528 422800 448000 448840 456020 458000 468992 473536 483200 484106 490000 501760 512000 512960 524410 528500 541184 553264 560000 561050 570025 572500 573440 586240 591920 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98135997814937600 107336247610088000 109912317552730112 112155426074214400 113733772302080000 119991613048832000 122669997268672000 129981454059520000 134170309512610000 137390396940912640 140194282592768000 149989516311040000 153337496585840000 157017596503900160 171737996176140800 175242853240960000 181974035683328000 196271995629875200 214672495220176000 219824635105460224 227467544604160000 245339994537344000 268340619025220000 274780793881825280 280388565185536000 299979032622080000 306674993171680000 343475992352281600 350485706481920000 392543991259750400 429344990440352000 454935089208320000 490679989074688000 536681238050440000 549561587763650560 560777130371072000 599958065244160000 613349986343360000 686951984704563200 700971412963840000 785087982519500800 858689980880704000 909870178416640000 981359978149376000 1073362476100880000 1099123175527301120 1226699972686720000 1373903969409126400 1401942825927680000 1717379961761408000 1962719956298752000 2146724952201760000 2453399945373440000 2747807938818252800 2803885651855360000 3434759923522816000 3925439912597504000 4293449904403520000 4906799890746880000 5495615877636505600 6869519847045632000 8586899808807040000 9813599781493760000 13739039694091264000 17173799617614080000 19627199562987520000 27478079388182528000 34347599235228160000 68695198470456320000 137390396940912640000
- Sum of all divisors σ(n): 403839792031683227220
- Sum of proper divisors (its aliquot sum) s(n): 266449395090770587220
- 137390396940912640000 is an abundant number, because the sum of its proper divisors (266449395090770587220) is greater than itself. Its abundance is 129058998149857947220
Bases of 137390396940912640000
- Binary: 11101110010101011001011111000010111100111010000001101000000000000002
- Hexadecimal: 0x772ACBE179D034000
- Base-36: SZTSV1CGBIDJ4
Squares and roots of 137390396940912640000
- 137390396940912640000 squared (1373903969409126400002) is 18876121171581537307327476111769600000000
- 137390396940912640000 cubed (1373903969409126400003) is 2593397780468352361455172887772552497623669407744000000000000
-
The
square root of 137390396940912640000 is 11721364977.7196444059 -
The
cube root of 137390396940912640000 is 5160028.8059620265
Scales and comparisons
How big is 137390396940912640000?- 137,390,396,940,912,640,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,390,396,940,912,640,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137390396940912640000 cubic inches would be around 430002.4 feet tall.
Recreational maths with 137390396940912640000
- 137390396940912640000 backwards is 000046219049693093731
- The number of decimal digits it has is: 21
- The sum of 137390396940912640000's digits is 76
- More coming soon!
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"Number 137390396940912640000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 137390396940912640000 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/137390396940912640000/
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Numbermatics. 2024. "Number 137390396940912640000 - Facts about the integer". https://numbermatics.com/n/137390396940912640000/
The information we have on file for 137390396940912640000 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!
Keywords: Divisors of 137390396940912640000, math, Factors of 137390396940912640000, curriculum, school, college, exams, university, Prime factorization of 137390396940912640000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, three hundred ninety quadrillion, three hundred ninety-six trillion, nine hundred forty billion, nine hundred twelve million, six hundred forty thousand.