138024219726800
138,024,219,726,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138024219726800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1620 divisors.
138024219726800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138024219726800:
24 × 52 × 112 × 192 × 232 × 109 × 137
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 19 × 19 × 23 × 23 × 109 × 137)See below for interesting mathematical facts about the number 138024219726800 from the Numbermatics database.
Names of 138024219726800
- Cardinal: 138024219726800 can be written as One hundred thirty-eight trillion, twenty-four billion, two hundred nineteen million, seven hundred twenty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380242197268 × 1014
Factors of 138024219726800
Divisors of 138024219726800
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 23 25 38 40 44 46 50 55 76 80 88 92 95 100 109 110 115 121 137 152 176 184 190 200 209 218 220 230 242 253 274 275 304 361 368 380 400 418 436 437 440 460 475 484 506 529 545 548 550 575 605 685 722 760 836 872 874 880 920 950 968 1012 1045 1058 1090 1096 1100 1150 1199 1210 1265 1370 1444 1507 1520 1672 1744 1748 1805 1840 1900 1936 2024 2071 2090 2116 2180 2185 2192 2200 2299 2300 2398 2420 2507 2530 2603 2645 2725 2740 2783 2888 3014 3025 3151 3344 3425 3496 3610 3800 3971 4048 4142 4180 4232 4360 4370 4400 4598 4600 4796 4807 4840 5014 5060 5206 5225 5290 5450 5480 5566 5776 5819 5995 6028 6050 6302 6325 6850 6992 7220 7535 7600 7942 8284 8303 8360 8464 8720 8740 9025 9196 9200 9592 9614 9680 10028 10051 10120 10355 10412 10450 10580 10900 10925 10960 11132 11495 11638 11990 12056 12100 12535 12604 12650 13015 13189 13225 13700 13915 14440 14933 15070 15755 15884 16568 16577 16606 16720 17480 18050 18392 19184 19228 19855 20056 20102 20240 20710 20824 20900 21160 21800 21850 22264 22781 22990 23276 23980 24035 24112 24200 25070 25208 25300 26030 26378 26450 27400 27577 27830 28633 28880 29095 29866 29975 30140 31510 31768 33136 33154 33212 34661 34960 36100 36784 37675 38456 39349 39710 40112 40204 41420 41515 41648 41800 42320 43600 43681 43700 44528 45562 45980 46552 47633 47960 48070 48400 49457 50140 50255 50416 50600 51775 52060 52756 52877 52900 54800 55154 55660 57266 57475 57661 58190 59732 59869 59950 60280 62675 63020 63536 64009 65075 65945 66308 66424 69322 69575 72200 72473 74665 75350 76912 78698 78775 79420 80408 82840 82885 83030 83600 87362 87400 91124 91333 91960 93104 95266 95920 96140 98914 99275 100280 100510 101200 103550 104120 105512 105754 105800 110308 110561 111320 113905 114532 114950 115322 116380 119464 119738 119900 120175 120560 125350 126040 128018 130150 131890 132616 132848 137885 138644 139150 143165 144400 144946 145475 149330 150700 157396 157550 158840 160816 164263 165680 165770 166060 173305 174724 174800 182248 182666 183920 190532 190969 192280 196745 197828 198550 200560 201020 207100 207575 208240 211024 211508 211600 218405 220616 221122 222640 227810 229064 229900 230644 232760 238165 238928 239476 239800 240350 247285 250591 250700 251275 252080 256036 260300 263780 264385 265232 275770 277288 278300 283727 286330 288305 289892 290950 298660 299345 301400 303347 314792 314963 315100 317680 320045 328526 329725 331540 332120 343459 346610 349448 362365 364496 365332 373325 381064 381271 381938 384560 393490 395656 397100 402040 414200 414425 415150 423016 432839 436810 441232 442244 455620 456665 458128 459800 461288 465520 476330 478952 479600 480700 494570 501182 501400 502550 512072 520600 523963 527560 528770 544027 551540 552805 554576 556600 567454 569525 572660 576610 579784 581900 597320 598690 602800 606694 629584 629926 630200 634271 640090 657052 658559 659450 663080 664240 686918 689425 693220 698896 715825 724730 730664 746650 762128 762542 763876 786980 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158284655650 165100741300 181610815430 191169279400 201495211280 228139206160 240042121264 250953126776 251869014100 253255449040 260915349200 272775137800 285174007700 290577304688 300052651580 313691408470 315844896400 316569311300 330201482600 345060549317 363221630860 375065814475 382338558800 454027038575 501906253552 503738028200 545550275600 570348015400 600105303160 627382816940 633138622600 660402965200 690121098634 726443261720 750131628950 784228521175 908054077150 1007476056400 1140696030800 1200210606320 1254765633880 1266277245200 1380242197268 1452886523440 1500263257900 1568457042350 1725302746585 1816108154300 2509531267760 2760484394536 3000526515800 3136914084700 3450605493170 3632216308600 5520968789072 6001053031600 6273828169400 6901210986340 7264432617200 8626513732925 12547656338800 13802421972680 17253027465850 27604843945360 34506054931700 69012109863400 138024219726800
- Sum of all divisors σ(n): 408786840928620
- Sum of proper divisors (its aliquot sum) s(n): 270762621201820
- 138024219726800 is an abundant number, because the sum of its proper divisors (270762621201820) is greater than itself. Its abundance is 132738401475020
Bases of 138024219726800
- Binary: 111110110001000010001001001011001010011110100002
- Hexadecimal: 0x7D88449653D0
- Base-36: 1CXBG8QUA8
Squares and roots of 138024219726800
- 138024219726800 squared (1380242197268002) is 19050685231191966266638240000
- 138024219726800 cubed (1380242197268003) is 2629455964296143609057409914127232832000000
-
The
square root of 138024219726800 is 11748370.9392749429 -
The
cube root of 138024219726800 is 51679.5155123265
Scales and comparisons
How big is 138024219726800?- 138,024,219,726,800 seconds is equal to 4,388,743 years, 13 weeks, 3 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,024,219,726,800 would take you about ten million, nine hundred seventy-one thousand, eight hundred fifty-eight 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 138024219726800 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138024219726800
- 138024219726800 backwards is 008627912420831
- The number of decimal digits it has is: 15
- The sum of 138024219726800's digits is 53
- More coming soon!
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"Number 138024219726800 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138024219726800 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138024219726800/
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The information we have on file for 138024219726800 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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