137379388608000000
137,379,388,608,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137379388608000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 17472 divisors.
137379388608000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seventeen thousand, four hundred seventy-two divisors.
Prime factorization of 137379388608000000:
212 × 33 × 56 × 72 × 113 × 23 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 23 × 53)See below for interesting mathematical facts about the number 137379388608000000 from the Numbermatics database.
Names of 137379388608000000
- Cardinal: 137379388608000000 can be written as One hundred thirty-seven quadrillion, three hundred seventy-nine trillion, three hundred eighty-eight billion, six hundred eight million.
Scientific notation
- Scientific notation: 1.37379388608 × 1017
Factors of 137379388608000000
Divisors of 137379388608000000
- Number of divisors d(n): 17472
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 23 24 25 27 28 30 32 33 35 36 40 42 44 45 46 48 49 50 53 54 55 56 60 63 64 66 69 70 72 75 77 80 84 88 90 92 96 98 99 100 105 106 108 110 112 115 120 121 125 126 128 132 135 138 140 144 147 150 154 159 160 161 165 168 175 176 180 184 189 192 196 198 200 207 210 212 216 220 224 225 230 231 240 242 245 250 252 253 256 264 265 270 275 276 280 288 294 297 300 308 315 318 320 322 330 336 345 350 352 360 363 368 371 375 378 384 385 392 396 400 414 420 424 432 440 441 448 450 460 462 477 480 483 484 490 495 500 504 506 512 525 528 530 539 540 550 552 560 575 576 583 588 594 600 605 616 621 625 630 636 640 644 660 672 675 690 693 700 704 720 726 735 736 742 750 756 759 768 770 784 792 795 800 805 825 828 840 847 848 864 875 880 882 896 900 920 924 945 954 960 966 968 980 990 1000 1008 1012 1024 1035 1050 1056 1060 1078 1080 1089 1100 1104 1113 1120 1125 1127 1150 1152 1155 1166 1176 1188 1200 1210 1219 1225 1232 1242 1250 1260 1265 1272 1280 1288 1320 1323 1325 1331 1344 1350 1375 1380 1386 1400 1408 1431 1440 1449 1452 1470 1472 1484 1485 1500 1512 1518 1536 1540 1568 1575 1584 1590 1600 1610 1617 1650 1656 1680 1694 1696 1725 1728 1749 1750 1760 1764 1771 1792 1800 1815 1840 1848 1855 1875 1890 1908 1920 1925 1932 1936 1960 1980 2000 2016 2024 2048 2070 2079 2100 2112 2120 2156 2160 2178 2200 2205 2208 2226 2240 2250 2254 2277 2300 2304 2310 2332 2352 2376 2385 2400 2415 2420 2438 2450 2464 2475 2484 2500 2520 2530 2541 2544 2560 2576 2597 2625 2640 2646 2650 2662 2688 2695 2700 2750 2760 2772 2783 2800 2816 2862 2875 2880 2898 2904 2915 2940 2944 2968 2970 3000 3024 3025 3036 3072 3080 3105 3125 3136 3150 3168 3180 3200 3220 3234 3267 3300 3312 3339 3360 3375 3381 3388 3392 3450 3456 3465 3498 3500 3520 3528 3542 3584 3600 3630 3657 3675 3680 3696 3710 3750 3780 3795 3816 3840 3850 3864 3872 3920 3960 3975 3993 4000 4025 4032 4048 4081 4096 4125 4140 4158 4200 4224 4235 4240 4312 4320 4347 4356 4375 4400 4410 4416 4452 4480 4500 4508 4554 4600 4608 4620 4664 4704 4725 4752 4770 4800 4830 4840 4851 4876 4900 4928 4950 4968 5000 5040 5060 5082 5088 5120 5152 5175 5194 5247 5250 5280 5292 5300 5313 5324 5376 5390 5400 5445 5500 5520 5544 5565 5566 5600 5625 5632 5635 5724 5750 5760 5775 5796 5808 5830 5880 5888 5929 5936 5940 6000 6048 6050 6072 6095 6125 6144 6160 6210 6250 6272 6300 6325 6336 6360 6400 6413 6440 6468 6534 6600 6615 6624 6625 6655 6678 6720 6750 6762 6776 6784 6831 6875 6900 6912 6930 6996 7000 7040 7056 7084 7155 7168 7200 7245 7260 7314 7350 7360 7392 7420 7425 7500 7560 7590 7623 7632 7680 7700 7728 7744 7791 7840 7875 7920 7950 7986 8000 8050 8064 8085 8096 8162 8250 8280 8316 8349 8400 8448 8470 8480 8533 8624 8625 8640 8694 8712 8745 8750 8800 8820 8832 8855 8904 8960 9000 9016 9075 9108 9200 9216 9240 9275 9317 9328 9375 9408 9450 9504 9540 9600 9625 9660 9680 9702 9752 9800 9856 9900 9936 10000 10017 10080 10120 10143 10164 10176 10240 10304 10350 10388 10395 10494 10500 10560 10584 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474880 475200 477000 477848 478170 479160 480000 480975 481250 482724 483000 483840 484000 485100 485760 486864 487025 487600 487872 488448 489720 489808 490000 492800 493801 494592 495000 495616 495880 496800 496875 498624 499125 500000 500850 500940 501760 503118 503125 503712 504000 506000 506880 507150 508200 508800 510048 510125 511104 511980 512000 513040 514206 515200 515625 517440 517500 518144 519400 519750 521752 522368 522720 524700 525000 525987 526608 528000 529200 529375 529920 530000 531300 532224 532400 533610 534240 534336 536360 537579 537600 538692 539000 540000 540960 542080 542720 543375 544500 545468 546112 546480 548550 550000 550935 551034 551250 551936 552000 552960 554400 556416 556500 556600 557568 557865 559020 559680 560000 560952 562500 563178 563200 563500 564344 564480 566720 569184 569250 569856 571340 571725 572400 574992 575000 576000 577024 577170 577500 579600 580800 582120 582912 583000 584325 584430 585120 586971 587664 588000 588800 589996 590625 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12489035328000000 13737938860800000 15264376512000000 17172423576000000 19625626944000000 22896564768000000 27475877721600000 34344847152000000 45793129536000000 68689694304000000 137379388608000000
- Sum of all divisors σ(n): 692057741647518720
- Sum of proper divisors (its aliquot sum) s(n): 554678353039518720
- 137379388608000000 is an abundant number, because the sum of its proper divisors (554678353039518720) is greater than itself. Its abundance is 417298964431518720
Bases of 137379388608000000
- Binary: 1111010000001000111010011011110010111000010110000000000002
- Hexadecimal: 0x1E811D37970B000
- Base-36: 11KOXFV6I2O0
Squares and roots of 137379388608000000
- 137379388608000000 squared (1373793886080000002) is 18873096414307880177664000000000000
- 137379388608000000 cubed (1373793886080000003) is 2592774446537453642284002737651712000000000000000000
-
The
square root of 137379388608000000 is 370647256.3071255219 -
The
cube root of 137379388608000000 is 515989.0987421141
Scales and comparisons
How big is 137379388608000000?- 137,379,388,608,000,000 seconds is equal to 4,368,239,615 years, 20 weeks.
-
To count from 1 to 137,379,388,608,000,000 would take you about thirteen billion, one hundred four million, seven hundred eighteen thousand, eight hundred forty-six 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 137379388608000000 cubic inches would be around 42999.1 feet tall.
Recreational maths with 137379388608000000
- 137379388608000000 backwards is 000000806883973731
- 137379388608000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137379388608000000's digits is 63
- More coming soon!
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"Number 137379388608000000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 137379388608000000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/137379388608000000/
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The information we have on file for 137379388608000000 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 137379388608000000, math, Factors of 137379388608000000, curriculum, school, college, exams, university, Prime factorization of 137379388608000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, three hundred seventy-nine trillion, three hundred eighty-eight billion, six hundred eight million.