138642070784000
138,642,070,784,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138642070784000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
138642070784000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138642070784000:
211 × 53 × 73 × 313 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 31 × 31 × 31 × 53)See below for interesting mathematical facts about the number 138642070784000 from the Numbermatics database.
Names of 138642070784000
- Cardinal: 138642070784000 can be written as One hundred thirty-eight trillion, six hundred forty-two billion, seventy million, seven hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38642070784 × 1014
Factors of 138642070784000
Divisors of 138642070784000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 53 56 62 64 70 80 98 100 106 112 124 125 128 140 155 160 175 196 200 212 217 224 245 248 250 256 265 280 310 320 343 350 371 392 400 424 434 448 490 496 500 512 530 560 620 640 686 700 742 775 784 800 848 868 875 896 961 980 992 1000 1024 1060 1085 1120 1225 1240 1280 1325 1372 1400 1484 1519 1550 1568 1600 1643 1696 1715 1736 1750 1792 1855 1922 1960 1984 2000 2048 2120 2170 2240 2450 2480 2560 2597 2650 2744 2800 2968 3038 3100 3136 3200 3286 3392 3430 3472 3500 3584 3710 3844 3875 3920 3968 4000 4240 4340 4480 4805 4900 4960 5120 5194 5300 5425 5488 5600 5936 6076 6125 6200 6272 6400 6572 6625 6727 6784 6860 6944 7000 7168 7420 7595 7688 7750 7840 7936 8000 8215 8480 8575 8680 8960 9275 9610 9800 9920 10240 10388 10600 10633 10850 10976 11200 11501 11872 12152 12250 12400 12544 12800 12985 13144 13250 13454 13568 13720 13888 14000 14336 14840 15190 15376 15500 15680 15872 16000 16430 16960 17150 17360 17920 18179 18550 19220 19600 19840 20776 21200 21266 21700 21952 22400 23002 23744 24025 24304 24500 24800 25088 25600 25970 26288 26500 26908 27125 27136 27440 27776 28000 29680 29791 30380 30752 31000 31360 31744 32000 32860 33635 33920 34300 34720 35840 36358 37100 37975 38440 39200 39680 41075 41552 42400 42532 42875 43400 43904 44800 46004 46375 47089 47488 48050 48608 49000 49600 50176 50933 51200 51940 52576 53000 53165 53816 54250 54272 54880 55552 56000 57505 59360 59582 60760 61504 62000 62720 63488 64000 64925 65720 67270 67840 68600 69440 71680 72716 74200 75950 76880 78400 79360 80507 82150 83104 84800 85064 85750 86800 87808 89600 90895 92008 92750 94178 94976 96100 97216 98000 99200 100352 101866 103880 105152 106000 106330 107632 108500 108544 109760 111104 112000 115010 118720 119164 120125 121520 123008 124000 125440 128000 129850 131440 134540 135680 137200 138880 145432 148400 148955 151900 153760 156800 158720 161014 164300 166208 168175 169600 170128 171500 173600 175616 179200 181790 184016 185500 188356 189875 189952 192200 194432 196000 198400 203732 205375 207760 208537 210304 212000 212660 215264 217000 219520 222208 224000 230020 235445 237440 238328 240250 243040 246016 248000 250880 254665 256000 259700 262880 265825 269080 271360 274400 277760 287525 290864 296800 297910 303800 307520 313600 317440 322028 324625 328600 329623 332416 336350 339200 340256 343000 347200 351232 356531 358400 363580 368032 371000 376712 379750 379904 384400 388864 392000 396800 402535 407464 410750 415520 417074 420608 424000 425320 430528 434000 439040 444416 448000 454475 460040 470890 474880 476656 480500 486080 492032 496000 501760 509330 519400 525760 531650 538160 542720 548800 555520 563549 575050 581728 593600 595820 607600 615040 627200 644056 649250 657200 659246 664832 672700 678400 680512 686000 694400 702464 713062 727160 736064 742000 744775 753424 759500 759808 768800 777728 784000 793600 805070 814928 821500 831040 834148 840875 841216 848000 850640 861056 868000 878080 896000 908950 920080 941780 949760 953312 961000 972160 984064 992000 1018660 1038800 1042685 1051520 1063300 1076320 1097600 1111040 1127098 1150100 1163456 1177225 1187200 1191640 1215200 1230080 1254400 1273325 1288112 1298500 1314400 1318492 1329125 1329664 1345400 1356800 1361024 1372000 1388800 1426124 1437625 1454320 1459759 1472128 1484000 1489550 1506848 1519000 1537600 1555456 1568000 1578923 1587200 1610140 1629856 1643000 1648115 1662080 1668296 1681750 1682432 1696000 1701280 1722112 1736000 1756160 1782655 1792000 1817900 1840160 1883560 1899520 1906624 1922000 1944320 1968128 1984000 2012675 2037320 2077600 2085370 2103040 2126600 2152640 2195200 2222080 2254196 2272375 2300200 2326912 2354450 2374400 2383280 2430400 2460160 2495717 2508800 2546650 2576224 2597000 2628800 2636984 2658250 2659328 2690800 2713600 2722048 2744000 2777600 2817745 2852248 2875250 2908640 2919518 2944256 2968000 2979100 3013696 3038000 3075200 3110912 3136000 3157846 3220280 3259712 3286000 3296230 3324160 3336592 3363500 3364864 3392000 3402560 3444224 3472000 3512320 3565310 3635800 3680320 3723875 3767120 3799040 3813248 3844000 3888640 3968000 4025350 4074640 4155200 4170740 4206080 4253200 4305280 4390400 4508392 4544750 4600400 4653824 4708900 4748800 4766560 4860800 4920320 4991434 5093300 5152448 5194000 5213425 5257600 5273968 5316500 5318656 5381600 5444096 5488000 5555200 5635490 5704496 5750500 5817280 5839036 5886125 5888512 5936000 5958200 6027392 6076000 6150400 6272000 6315692 6366625 6440560 6519424 6572000 6592460 6648320 6673184 6727000 6784000 6805120 6888448 6944000 7130620 7271600 7298795 7360640 7447750 7534240 7626496 7688000 7777280 7894615 7936000 8050700 8149280 8240575 8310400 8341480 8412160 8506400 8610560 8780800 8913275 9016784 9089500 9200800 9307648 9417800 9497600 9533120 9721600 9840640 9982868 10063375 10186600 10218313 10304896 10388000 10426850 10515200 10547936 10633000 10763200 10888192 10976000 11052461 11110400 11270980 11408992 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1021831300 1030489600 1054793600 1067709440 1083141178 1105246100 1118081216 1127098000 1140899200 1154148352 1163456000 1167807200 1205478400 1237875632 1247858500 1263138400 1277289125 1277807104 1288112000 1303884800 1307944064 1318492000 1334636800 1361024000 1381557625 1397601520 1414715008 1426124000 1442685440 1459759000 1472128000 1494793216 1506848000 1525299200 1547344540 1578923000 1597258880 1616817152 1629856000 1634930080 1668296000 1687669760 1722112000 1747001900 1768393760 1803356800 1825438720 1868491520 1906624000 1934180675 1996573600 2021021440 2043662600 2060979200 2109587200 2135418880 2166282356 2183752375 2210492200 2236162432 2254196000 2281798400 2326912000 2335614400 2410956800 2475751264 2495717000 2526276800 2554578250 2555614208 2576224000 2607769600 2615888128 2636984000 2669273600 2707852945 2722048000 2763115250 2795203040 2829430016 2852248000 2885370880 2919518000 2944256000 2989586432 3013696000 3094689080 3157846000 3194517760 3233634304 3259712000 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14426854400 14947932160 15473445400 15972588800 16168171520 16349300800 16876697600 17330258848 17470019000 17683937600 17889299456 18033568000 18254387200 18684915200 19341806750 19806010112 19965736000 20210214400 20436626000 20609792000 20927105024 21095872000 21662823560 22104922000 22361624320 22635440128 22817984000 23356144000 24757512640 25262768000 25556142080 26158881280 26692736000 27078529450 27952030400 28294300160 28853708800 30946890800 31945177600 32698601600 34660517696 34940038000 35367875200 35778598912 36067136000 37369830400 38683613500 39612020224 39931472000 40420428800 40873252000 42191744000 43325647120 44209844000 44723248640 45635968000 46712288000 49515025280 50525536000 52317762560 53385472000 54157058900 55904060800 56588600320 61893781600 63890355200 65397203200 67696323625 69321035392 69880076000 70735750400 72134272000 74739660800 77367227000 79224040448 79862944000 80840857600 81746504000 84383488000 86651294240 88419688000 89446497280 91271936000 93424576000 99030050560 101051072000 104635525120 108314117800 111808121600 113177200640 123787563200 127780710400 130794406400 135392647250 138642070784 139760152000 141471500800 144268544000 154734454000 158448080896 159725888000 163493008000 173302588480 176839376000 178892994560 186849152000 198060101120 202102144000 216628235600 223616243200 247575126400 261588812800 270785294500 277284141568 279520304000 282943001600 309468908000 319451776000 326986016000 346605176960 353678752000 373698304000 396120202240 404204288000 433256471200 447232486400 495150252800 523177625600 541570589000 554568283136 559040608000 565886003200 618937816000 638903552000 653972032000 693210353920 707357504000 792240404480 866512942400 894464972800 990300505600 1083141178000 1109136566272 1118081216000 1237875632000 1307944064000 1386420707840 1414715008000 1733025884800 1980601011200 2166282356000 2236162432000 2475751264000 2615888128000 2772841415680 2829430016000 3466051769600 3961202022400 4332564712000 4472324864000 4951502528000 5545682831360 6932103539200 8665129424000 9903005056000 13864207078400 17330258848000 19806010112000 27728414156800 34660517696000 69321035392000 138642070784000
- Sum of all divisors σ(n): 424773393408000
- Sum of proper divisors (its aliquot sum) s(n): 286131322624000
- 138642070784000 is an abundant number, because the sum of its proper divisors (286131322624000) is greater than itself. Its abundance is 147489251840000
Bases of 138642070784000
- Binary: 111111000011000000111110110000101001000000000002
- Hexadecimal: 0x7E181F614800
- Base-36: 1D57ADB94W
Squares and roots of 138642070784000
- 138642070784000 squared (1386420707840002) is 19221623791275666374656000000
- 138642070784000 cubed (1386420707840003) is 2664925726253459379171825815650304000000000
-
The
square root of 138642070784000 is 11774636.7580490567 -
The
cube root of 138642070784000 is 51756.5133932151
Scales and comparisons
How big is 138642070784000?- 138,642,070,784,000 seconds is equal to 4,408,389 years, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 138,642,070,784,000 would take you about eleven million, twenty thousand, nine hundred seventy-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 138642070784000 cubic inches would be around 4313 feet tall.
Recreational maths with 138642070784000
- 138642070784000 backwards is 000487070246831
- 138642070784000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138642070784000's digits is 50
- More coming soon!
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The information we have on file for 138642070784000 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 138642070784000, math, Factors of 138642070784000, curriculum, school, college, exams, university, Prime factorization of 138642070784000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred forty-two billion, seventy million, seven hundred eighty-four thousand.