138975982200
138,975,982,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138975982200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
138975982200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138975982200:
23 × 33 × 52 × 11 × 31 × 71 × 1063
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 31 × 71 × 1063)See below for interesting mathematical facts about the number 138975982200 from the Numbermatics database.
Names of 138975982200
- Cardinal: 138975982200 can be written as One hundred thirty-eight billion, nine hundred seventy-five million, nine hundred eighty-two thousand, two hundred.
Scientific notation
- Scientific notation: 1.389759822 × 1011
Factors of 138975982200
Divisors of 138975982200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 27 30 31 33 36 40 44 45 50 54 55 60 62 66 71 72 75 88 90 93 99 100 108 110 120 124 132 135 142 150 155 165 180 186 198 200 213 216 220 225 248 264 270 275 279 284 297 300 310 330 341 355 360 372 396 426 440 450 465 495 540 550 558 568 594 600 620 639 660 675 682 710 744 775 781 792 825 837 852 900 930 990 1023 1063 1065 1080 1100 1116 1188 1240 1278 1320 1350 1364 1395 1420 1485 1550 1562 1650 1674 1704 1705 1775 1800 1860 1917 1980 2046 2126 2130 2200 2201 2232 2325 2343 2376 2475 2556 2700 2728 2790 2840 2970 3069 3100 3124 3189 3195 3300 3348 3410 3550 3720 3834 3905 3960 4092 4185 4252 4260 4402 4650 4686 4950 5112 5115 5315 5325 5400 5580 5940 6138 6200 6248 6378 6390 6600 6603 6696 6820 6975 7029 7100 7425 7668 7810 8184 8370 8504 8520 8525 8804 9207 9300 9372 9567 9585 9900 10230 10630 10650 11005 11160 11693 11715 11880 12276 12756 12780 13206 13640 13950 14058 14200 14850 15336 15345 15620 15945 15975 16740 17050 17608 18414 18600 18744 19134 19170 19525 19800 19809 20460 20925 21087 21260 21300 22010 23386 23430 24211 24552 25512 25560 25575 26412 26575 27900 28116 28701 29700 30690 31240 31890 31950 32953 33015 33480 34100 35079 35145 36828 38268 38340 39050 39618 40920 41850 42174 42520 42600 44020 46035 46772 46860 47835 47925 48422 51150 52824 53150 55025 55800 56232 57402 58465 58575 59400 59427 61380 63780 63900 65906 66030 68200 70158 70290 72633 73656 75473 76536 76680 76725 78100 79236 79725 83700 84348 88040 92070 93544 93720 95670 95850 96844 98859 99045 102300 105237 105435 106300 110050 114804 116930 117150 118854 121055 122760 127560 127800 131812 132060 140316 140580 143505 145266 150946 153450 156200 158472 159450 164765 165075 167400 168696 175395 175725 184140 191340 191700 193688 197718 198090 204600 210474 210870 212600 217899 220100 226419 229608 230175 233860 234300 237708 239175 242110 263624 264120 280632 281160 287010 290532 292325 296577 297135 301892 306900 315711 318900 329530 330150 350790 351450 362483 363165 368280 377365 382680 383400 395436 396180 420948 421740 435798 440200 452838 460350 467720 468600 475416 478350 484220 494295 495225 526185 527175 574020 581064 584650 593154 594270 603784 605275 613800 631422 637800 653697 659060 660300 679257 701580 702900 717525 724966 726330 754730 790872 792360 823825 830203 841896 843480 871596 876975 889731 905676 920700 956700 968440 988590 990450 1052370 1054350 1087449 1089495 1132095 1148040 1169300 1186308 1188540 1210550 1262844 1307394 1318120 1320600 1358514 1403160 1405800 1435050 1449932 1452660 1482885 1485675 1509460 1578555 1647650 1660406 1743192 1753950 1779462 1811352 1812415 1815825 1841400 1886825 1913400 1977180 1980900 2037771 2104740 2108700 2174898 2178990 2264190 2338600 2339663 2372616 2377080 2421100 2471475 2490609 2525688 2614788 2630925 2717028 2870100 2899864 2905320 2965770 2971350 3018920 3157110 3262347 3268485 3295300 3320812 3396285 3507900 3558924 3624830 3631650 3773650 3954360 3961800 4075542 4151015 4209480 4217400 4349796 4357980 4448655 4528380 4679326 4842200 4942950 4981218 5229576 5261850 5434056 5437245 5447475 5660475 5740200 5931540 5942700 6314220 6524694 6536970 6590600 6641624 6792570 7015800 7018989 7117848 7249660 7263300 7414425 7471827 7547300 7892775 8151084 8302030 8699592 8715960 8897310 9056760 9062075 9358652 9787041 9885900 9962436 10188855 10523700 10874490 10894950 11320950 11698315 11863080 11885400 12453045 12628440 13049388 13073940 13585140 14037978 14499320 14526600 14828850 14943654 15094600 15785550 16302168 16311735 16342425 16604060 16981425 17794620 18124150 18717304 19574082 19771800 19924872 20377710 20755075 21047400 21056967 21748980 21789900 22243275 22415481 22641900 23396630 24906090 25736293 26098776 26147880 27170280 27186225 28075956 29657700 29887308 31571100 32623470 32684850 33208120 33962850 35094945 35589240 36248300 37359135 39148164 40755420 41510150 42113934 43497960 43579800 44486550 44830962 45283800 46793260 48935205 49812180 50944275 51472586 54372450 56151912 58491575 59315400 59774616 62265225 63142200 63170901 65246940 65369700 67925700 70189890 72496600 74718270 77208879 78296328 81510840 81558675 83020300 84227868 88973100 89661924 93586520 97870410 99624360 101888550 102945172 105284835 108744900 112077405 116983150 124530450 126341802 128681465 130493880 130739400 135851400 140379780 149436540 154417758 163117350 166040600 168455736 175474725 177946200 179323848 186795675 195740820 203777100 205890344 210569670 217489800 224154810 231626637 233966300 244676025 249060900 252683604 257362930 280759560 298873080 308835516 315854505 326234700 350949450 373591350 386044395 391481640 407554200 421139340 448309620 463253274 467932600 489352050 498121800 505367208 514725860 526424175 560387025 617671032 631709010 643407325 652469400 694879911 701898900 747182700 772088790 842278680 896619240 926506548 978704100 1029451720 1052848350 1120774050 1158133185 1263418020 1286814650 1389759822 1403797800 1494365400 1544177580 1579272525 1853013096 1930221975 1957408200 2105696700 2241548100 2316266370 2526836040 2573629300 2779519644 3088355160 3158545050 3474399555 3860443950 4211393400 4483096200 4632532740 5147258600 5559039288 5790665925 6317090100 6948799110 7720887900 9265065480 11581331850 12634180200 13897598220 15441775800 17371997775 23162663700 27795196440 34743995550 46325327400 69487991100 138975982200
- Sum of all divisors σ(n): 547164979200
- Sum of proper divisors (its aliquot sum) s(n): 408188997000
- 138975982200 is an abundant number, because the sum of its proper divisors (408188997000) is greater than itself. Its abundance is 269213014800
Bases of 138975982200
- Binary: 100000010110111001110100110010011110002
- Hexadecimal: 0x205B9D3278
- Base-36: 1RUEPM60
Squares and roots of 138975982200
- 138975982200 squared (1389759822002) is 19314323628454716840000
- 138975982200 cubed (1389759822003) is 2684227096793162141061880248000000
-
The
square root of 138975982200 is 372794.8258761113 -
The
cube root of 138975982200 is 5179.8030937411
Scales and comparisons
How big is 138975982200?- 138,975,982,200 seconds is equal to 4,419 years, 2 days, 7 hours, 30 minutes.
-
To count from 1 to 138,975,982,200 would take you about eight thousand, eight hundred thirty-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 138975982200 cubic inches would be around 431.7 feet tall.
Recreational maths with 138975982200
- 138975982200 backwards is 002289579831
- 138975982200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138975982200's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138975982200 - Facts about the integer". Numbermatics.com. 2024. Web. 26 June 2024.
APA style:
Numbermatics. (2024). Number 138975982200 - Facts about the integer. Retrieved 26 June 2024, from https://numbermatics.com/n/138975982200/
Chicago style:
Numbermatics. 2024. "Number 138975982200 - Facts about the integer". https://numbermatics.com/n/138975982200/
The information we have on file for 138975982200 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 138975982200, math, Factors of 138975982200, curriculum, school, college, exams, university, Prime factorization of 138975982200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, nine hundred seventy-five million, nine hundred eighty-two thousand, two hundred.