139977242418816000
139,977,242,418,816,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 139977242418816000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3520 divisors.
139977242418816000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, five hundred twenty divisors.
Prime factorization of 139977242418816000:
210 × 34 × 53 × 11 × 31 × 281 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 31 × 281 × 140897)See below for interesting mathematical facts about the number 139977242418816000 from the Numbermatics database.
Names of 139977242418816000
- Cardinal: 139977242418816000 can be written as One hundred thirty-nine quadrillion, nine hundred seventy-seven trillion, two hundred forty-two billion, four hundred eighteen million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.39977242418816 × 1017
Factors of 139977242418816000
Divisors of 139977242418816000
- Number of divisors d(n): 3520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 44 45 48 50 54 55 60 62 64 66 72 75 80 81 88 90 93 96 99 100 108 110 120 124 125 128 132 135 144 150 155 160 162 165 176 180 186 192 198 200 216 220 225 240 248 250 256 264 270 275 279 281 288 297 300 310 320 324 330 341 352 360 372 375 384 396 400 405 432 440 450 465 480 495 496 500 512 528 540 550 558 562 576 594 600 620 640 648 660 675 682 704 720 744 750 768 775 792 800 810 825 837 843 864 880 891 900 930 960 990 992 1000 1023 1024 1056 1080 1100 1116 1124 1125 1152 1188 1200 1240 1280 1296 1320 1350 1364 1375 1395 1405 1408 1440 1485 1488 1500 1536 1550 1584 1600 1620 1650 1674 1686 1705 1728 1760 1782 1800 1860 1920 1980 1984 2000 2025 2046 2112 2160 2200 2232 2248 2250 2304 2325 2376 2400 2475 2480 2511 2529 2560 2592 2640 2700 2728 2750 2790 2810 2816 2880 2970 2976 3000 3069 3072 3091 3100 3168 3200 3240 3300 3348 3372 3375 3410 3456 3520 3564 3600 3720 3840 3875 3960 3968 4000 4050 4092 4125 4185 4215 4224 4320 4400 4455 4464 4496 4500 4608 4650 4752 4800 4950 4960 5022 5058 5115 5120 5184 5280 5400 5456 5500 5580 5620 5632 5760 5940 5952 6000 6138 6182 6200 6336 6400 6480 6600 6696 6744 6750 6820 6912 6975 7025 7040 7128 7200 7425 7440 7587 7680 7750 7920 7936 8000 8100 8184 8250 8370 8430 8448 8525 8640 8711 8800 8910 8928 8992 9000 9207 9216 9273 9300 9504 9600 9900 9920 10044 10116 10125 10230 10368 10560 10800 10912 11000 11160 11240 11264 11520 11625 11880 11904 12000 12276 12364 12375 12400 12555 12645 12672 12800 12960 13200 13392 13488 13500 13640 13824 13950 14050 14080 14256 14400 14850 14880 15174 15345 15360 15455 15500 15840 15872 16000 16200 16368 16500 16740 16860 16896 17050 17280 17422 17600 17820 17856 17984 18000 18414 18546 18600 19008 19200 19800 19840 20088 20232 20250 20460 20736 20925 21075 21120 21600 21824 22000 22275 22320 22480 22761 23040 23250 23760 23808 24000 24552 24728 24750 24800 25110 25290 25344 25575 25600 25920 26133 26400 26784 26976 27000 27280 27621 27648 27819 27900 28100 28160 28512 28800 29700 29760 30348 30690 30910 31000 31680 31744 32000 32400 32736 33000 33480 33720 33792 34100 34560 34844 34875 35125 35200 35640 35712 35968 36000 36828 37092 37125 37200 37935 38016 38400 39600 39680 40176 40464 40500 40920 41472 41850 42150 42240 42625 43200 43555 43648 44000 44550 44640 44960 45522 46035 46080 46365 46500 47520 47616 48000 49104 49456 49500 49600 50220 50580 50688 51150 51840 52266 52800 53568 53952 54000 54560 55242 55638 55800 56200 56320 57024 57600 59400 59520 60696 61380 61820 62000 62775 63225 63360 64000 64800 65472 66000 66960 67440 68200 69120 69688 69750 70250 70400 71280 71424 71936 72000 73656 74184 74250 74400 75870 76032 76725 76800 77275 78399 79200 79360 80352 80928 81000 81840 82944 83457 83700 84300 84480 85250 86400 87110 87296 88000 89100 89280 89920 91044 92070 92730 93000 95040 95232 95821 96000 98208 98912 99000 99200 100440 101160 101376 102300 103680 104532 104625 105375 105600 107136 107904 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345622820787200 349943106047040 353477884896000 364524068799000 373272646450176 376282909728000 388825673385600 397662620508000 410490446976000 424173461875200 432028525984000 437428882558800 451539491673600 466590808062720 471303846528000 486032091732000 498139652736000 501710546304000 509008154250240 518434231180800 530216827344000 546786103198500 559908969675264 564424364592000 583238510078400 622121077416960 636260192812800 648042788976000 699886212094080 706955769792000 729048137598000 752565819456000 777651346771200 795325241016000 848346923750400 864057051968000 874857765117600 903078983347200 933181616125440 972064183464000 1036868462361600 1060433654688000 1093572206397000 1119817939350528 1128848729184000 1166477020156800 1272520385625600 1296085577952000 1399772424188160 1413911539584000 1458096275196000 1505131638912000 1555302693542400 1590650482032000 1728114103936000 1749715530235200 1866363232250880 1944128366928000 2120867309376000 2187144412794000 2257697458368000 2332954040313600 2545040771251200 2592171155904000 2799544848376320 2916192550392000 3110605387084800 3181300964064000 3499431060470400 3888256733856000 4241734618752000 4374288825588000 4515394916736000 4665908080627200 5184342311808000 5599089696752640 5832385100784000 6362601928128000 6998862120940800 7776513467712000 8748577651176000 9331816161254400 11664770201568000 12725203856256000 13997724241881600 15553026935424000 17497155302352000 23329540403136000 27995448483763200 34994310604704000 46659080806272000 69988621209408000 139977242418816000
- Sum of all divisors σ(n): 589539586529507328
- Sum of proper divisors (its aliquot sum) s(n): 449562344110691328
- 139977242418816000 is an abundant number, because the sum of its proper divisors (449562344110691328) is greater than itself. Its abundance is 309585101691875328
Bases of 139977242418816000
- Binary: 1111100010100110010001111011100110000001100100100000000002
- Hexadecimal: 0x1F14C8F73032400
- Base-36: 12A9SHFIV400
Squares and roots of 139977242418816000
- 139977242418816000 squared (1399772424188160002) is 19593628395175981346350841856000000
- 139977242418816000 cubed (1399772424188160003) is 2742662071735745043459661410934315334762496000000000
-
The
square root of 139977242418816000 is 374135326.3443803699 -
The
cube root of 139977242418816000 is 519221.2732780673
Scales and comparisons
How big is 139977242418816000?- 139,977,242,418,816,000 seconds is equal to 4,450,843,330 years, 45 weeks, 5 days.
-
To count from 1 to 139,977,242,418,816,000 would take you about thirteen billion, three hundred fifty-two million, five hundred twenty-nine thousand, nine hundred ninety-two 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 139977242418816000 cubic inches would be around 43268.4 feet tall.
Recreational maths with 139977242418816000
- 139977242418816000 backwards is 000618814242779931
- 139977242418816000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 139977242418816000's digits is 72
- More coming soon!
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MLA style:
"Number 139977242418816000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 139977242418816000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/139977242418816000/
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Numbermatics. 2024. "Number 139977242418816000 - Facts about the integer". https://numbermatics.com/n/139977242418816000/
The information we have on file for 139977242418816000 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 139977242418816000, math, Factors of 139977242418816000, curriculum, school, college, exams, university, Prime factorization of 139977242418816000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-nine quadrillion, nine hundred seventy-seven trillion, two hundred forty-two billion, four hundred eighteen million, eight hundred sixteen thousand.