138980884224000
138,980,884,224,000 is an even composite number composed of six prime numbers multiplied together.
138980884224000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138980884224000:
211 × 3 × 53 × 72 × 133 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 41 × 41)See below for interesting mathematical facts about the number 138980884224000 from the Numbermatics database.
Names of 138980884224000
- Cardinal: 138980884224000 can be written as One hundred thirty-eight trillion, nine hundred eighty billion, eight hundred eighty-four million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38980884224 × 1014
Factors of 138980884224000
Divisors of 138980884224000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 41 42 48 49 50 52 56 60 64 65 70 75 78 80 82 84 91 96 98 100 104 105 112 120 123 125 128 130 140 147 150 156 160 164 168 169 175 182 192 195 196 200 205 208 210 224 240 245 246 250 256 260 273 280 287 294 300 312 320 325 328 336 338 350 364 375 384 390 392 400 410 416 420 448 455 480 490 492 500 507 512 520 525 533 546 560 574 588 600 615 624 637 640 650 656 672 676 700 728 735 750 768 780 784 800 820 832 840 845 861 875 896 910 960 975 980 984 1000 1014 1024 1025 1040 1050 1066 1092 1120 1148 1176 1183 1200 1225 1230 1248 1274 1280 1300 1312 1344 1352 1365 1400 1435 1456 1470 1500 1536 1560 1568 1599 1600 1625 1640 1664 1680 1681 1690 1722 1750 1792 1820 1911 1920 1950 1960 1968 2000 2009 2028 2048 2050 2080 2100 2132 2184 2197 2240 2275 2296 2352 2366 2400 2450 2460 2496 2535 2548 2560 2600 2624 2625 2665 2688 2704 2730 2800 2870 2912 2940 3000 3072 3075 3120 3136 3185 3198 3200 3250 3280 3328 3360 3362 3380 3444 3500 3549 3584 3640 3675 3731 3822 3840 3900 3920 3936 4000 4018 4056 4100 4160 4200 4225 4264 4305 4368 4394 4480 4550 4592 4704 4732 4800 4875 4900 4920 4992 5043 5070 5096 5120 5125 5200 5248 5250 5330 5376 5408 5460 5600 5740 5824 5880 5915 6000 6027 6125 6144 6150 6240 6272 6370 6396 6400 6500 6560 6591 6656 6720 6724 6760 6825 6888 6929 7000 7098 7168 7175 7280 7350 7462 7644 7680 7800 7840 7872 7995 8000 8036 8112 8200 8281 8320 8400 8405 8450 8528 8610 8736 8788 8960 9100 9184 9408 9464 9555 9600 9750 9800 9840 9984 10045 10086 10140 10192 10240 10250 10400 10496 10500 10660 10752 10816 10920 10985 11193 11200 11375 11480 11648 11760 11767 11830 12000 12054 12250 12300 12480 12544 12675 12740 12792 12800 13000 13120 13182 13312 13325 13440 13448 13520 13650 13776 13858 14000 14196 14336 14350 14560 14700 14924 15288 15360 15375 15379 15600 15680 15744 15925 15990 16000 16072 16224 16400 16562 16640 16800 16810 16900 17056 17220 17472 17576 17745 17920 18200 18368 18375 18655 18816 18928 19110 19200 19500 19600 19680 19968 20090 20172 20280 20384 20500 20787 20800 20992 21000 21125 21320 21504 21525 21632 21840 21853 21970 22386 22400 22750 22960 23296 23520 23534 23660 24000 24108 24500 24600 24843 24960 25088 25215 25350 25480 25584 25600 26000 26117 26240 26364 26624 26650 26880 26896 27040 27300 27552 27716 28000 28392 28700 29120 29400 29575 29848 30135 30576 30720 30750 30758 31200 31360 31488 31850 31980 32000 32144 32448 32800 32955 33124 33280 33600 33620 33800 34112 34125 34440 34645 34944 35152 35301 35490 35840 35875 36400 36736 36750 37310 37632 37856 38220 38400 39000 39200 39360 39936 39975 40180 40344 40560 40768 41000 41405 41574 41600 41984 42000 42025 42250 42640 43008 43050 43264 43680 43706 43940 44772 44800 45500 45920 46137 46592 47040 47068 47320 47775 48000 48216 48503 49000 49200 49686 49920 50176 50225 50430 50700 50960 51168 51200 52000 52234 52480 52728 53300 53760 53792 54080 54600 54925 55104 55432 55965 56000 56784 57400 58240 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198544120320 205593024000 206816792000 211861104000 213816744960 217157631600 218180352000 222725776000 225985177600 231634807040 236362048000 242126976000 248180150400 254543744000 260752128000 264725493760 267270931200 271447039500 274124032000 277961768448 282481472000 283634457600 289543508800 305452492800 310225188000 330906867200 334088664000 338977766400 347452210560 354543072000 356361241600 361929386000 370615691264 381815616000 397088240640 411186048000 413633584000 423722208000 427633489920 434315263200 445451552000 463269614080 472724096000 484253952000 496360300800 509087488000 534541862400 542894079000 555923536896 564962944000 567268915200 579087017600 620450376000 661813734400 668177328000 677955532800 694904421120 709086144000 712722483200 723858772000 763631232000 794176481280 822372096000 827267168000 847444416000 868630526400 890903104000 926539228160 945448192000 992720601600 1069083724800 1085788158000 1111847073792 1129925888000 1158174035200 1240900752000 1323627468800 1336354656000 1389808842240 1418172288000 1447717544000 1527262464000 1654534336000 1694888832000 1737261052800 1781806208000 1853078456320 1985441203200 2138167449600 2171576316000 2316348070400 2481801504000 2672709312000 2779617684480 2836344576000 2895435088000 3309068672000 3389777664000 3474522105600 3563612416000 3970882406400 4343152632000 4632696140800 4963603008000 5345418624000 5559235368960 5790870176000 6618137344000 6949044211200 8686305264000 9265392281600 9927206016000 10690837248000 11581740352000 13898088422400 17372610528000 19854412032000 23163480704000 27796176844800 34745221056000 46326961408000 69490442112000 138980884224000
- Sum of all divisors σ(n): 597276717710400
- Sum of proper divisors (its aliquot sum) s(n): 458295833486400
- 138980884224000 is an abundant number, because the sum of its proper divisors (458295833486400) is greater than itself. Its abundance is 319314949262400
Bases of 138980884224000
- Binary: 111111001100111000000100011110000011000000000002
- Hexadecimal: 0x7E67023C1800
- Base-36: 1D9IXQ34LC
Squares and roots of 138980884224000
- 138980884224000 squared (1389808842240002) is 19315686179684892082176000000
- 138980884224000 cubed (1389808842240003) is 2684511144645902847274836949991424000000000
-
The
square root of 138980884224000 is 11789015.4051981797 -
The
cube root of 138980884224000 is 51798.6399448119
Scales and comparisons
How big is 138980884224000?- 138,980,884,224,000 seconds is equal to 4,419,162 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 138,980,884,224,000 would take you about eleven million, forty-seven thousand, nine hundred five 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 138980884224000 cubic inches would be around 4316.6 feet tall.
Recreational maths with 138980884224000
- 138980884224000 backwards is 000422488089831
- The number of decimal digits it has is: 15
- The sum of 138980884224000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 138980884224000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138980884224000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138980884224000/
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The information we have on file for 138980884224000 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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