13920077781973440
13,920,077,781,973,440 is an even composite number composed of seven prime numbers multiplied together.
13920077781973440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 13920077781973440:
26 × 32 × 5 × 7 × 11 × 23 × 2729170153
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 23 × 2729170153)See below for interesting mathematical facts about the number 13920077781973440 from the Numbermatics database.
Names of 13920077781973440
- Cardinal: 13920077781973440 can be written as Thirteen quadrillion, nine hundred twenty trillion, seventy-seven billion, seven hundred eighty-one million, nine hundred seventy-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.392007778197344 × 1016
Factors of 13920077781973440
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 2729170204
Divisors of 13920077781973440
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 23 24 28 30 32 33 35 36 40 42 44 45 46 48 55 56 60 63 64 66 69 70 72 77 80 84 88 90 92 96 99 105 110 112 115 120 126 132 138 140 144 154 160 161 165 168 176 180 184 192 198 207 210 220 224 230 231 240 252 253 264 276 280 288 308 315 320 322 330 336 345 352 360 368 385 396 414 420 440 448 460 462 480 483 495 504 506 528 552 560 576 616 630 644 660 672 690 693 704 720 736 759 770 792 805 828 840 880 920 924 960 966 990 1008 1012 1035 1056 1104 1120 1155 1232 1260 1265 1288 1320 1344 1380 1386 1440 1449 1472 1518 1540 1584 1610 1656 1680 1760 1771 1840 1848 1932 1980 2016 2024 2070 2112 2208 2240 2277 2310 2415 2464 2520 2530 2576 2640 2760 2772 2880 2898 3036 3080 3168 3220 3312 3360 3465 3520 3542 3680 3696 3795 3864 3960 4032 4048 4140 4416 4554 4620 4830 4928 5040 5060 5152 5280 5313 5520 5544 5796 6072 6160 6336 6440 6624 6720 6930 7084 7245 7360 7392 7590 7728 7920 8096 8280 8855 9108 9240 9660 10080 10120 10304 10560 10626 11040 11088 11385 11592 12144 12320 12880 13248 13860 14168 14490 14784 15180 15456 15840 15939 16192 16560 17710 18216 18480 19320 20160 20240 21252 22080 22176 22770 23184 24288 24640 25760 26565 27720 28336 28980 30360 30912 31680 31878 33120 35420 36432 36960 38640 40480 42504 44352 45540 46368 48576 51520 53130 55440 56672 57960 60720 63756 66240 70840 72864 73920 77280 79695 80960 85008 91080 92736 106260 110880 113344 115920 121440 127512 141680 145728 154560 159390 170016 182160 212520 221760 231840 242880 255024 283360 318780 340032 364320 425040 463680 510048 566720 637560 728640 850080 1020096 1275120 1700160 2550240 5100480 2729170153 5458340306 8187510459 10916680612 13645850765 16375020918 19104191071 21833361224 24562531377 27291701530 30020871683 32750041836 38208382142 40937552295 43666722448 49125062754 54583403060 57312573213 60041743366 62770913519 65500083672 76416764284 81875104590 87333444896 90062615049 95520955355 98250125508 109166806120 114625146426 120083486732 122812656885 125541827038 131000167344 150104358415 152833528568 163750209180 171937719639 174666889792 180125230098 188312740557 191041910710 196500251016 210146101781 218333612240 229250292852 240166973464 245625313770 251083654076 262000334688 270187845147 286562866065 300208716830 305667057136 313854567595 327500418360 343875439278 360250460196 376625481114 382083821420 393000502032 420292203562 436667224480 439396394633 450313075245 458500585704 480333946928 491250627540 502167308152 524000669376 540375690294 564938221671 573125732130 600417433660 611334114272 627709135190 630438305343 655000836720 687750878556 690480048709 720500920392 753250962228 764167642840 786001004064 840584407124 859688598195 873334448960 878792789266 900626150490 917001171408 941563702785 960667893856 982501255080 1004334616304 1050730508905 1080751380588 1129876443342 1146251464260 1200834867320 1222668228544 1255418270380 1260876610686 1310001673440 1318189183899 1350939225735 1375501757112 1380960097418 1441001840784 1506501924456 1528335285680 1572002008128 1681168814248 1719377196390 1757585578532 1801252300980 1834002342816 1883127405570 1891314916029 1921335787712 1965002510160 2008669232608 2071440146127 2101461017810 2161502761176 2196981973165 2259752886684 2292502928520 2401669734640 2510836540760 2521753221372 2620003346880 2636378367798 2701878451470 2751003514224 2761920194836 2824691108355 2882003681568 3013003848912 3056670571360 3152191526715 3362337628496 3438754392780 3452400243545 3515171157064 3602504601960 3668004685632 3766254811140 3782629832058 3930005020320 3954567551697 4017338465216 4142880292254 4202922035620 4323005522352 4393963946330 4519505773368 4585005857040 4803339469280 4833360340963 5021673081520 5043506442744 5272756735596 5403756902940 5502007028448 5523840389672 5649382216710 5764007363136 6026007697824 6113341142720 6214320438381 6304383053430 6590945919495 6724675256992 6877508785560 6904800487090 7030342314128 7205009203920 7532509622280 7565259664116 7860010040640 7909135103394 8285760584508 8405844071240 8646011044704 8787927892660 9039011546736 9170011714080 9456574580145 9606678938560 9666720681926 10043346163040 10087012885488 10357200730635 10545513471192 10807513805880 11004014056896 11047680779344 11298764433420 12052015395648 12428640876762 12608766106860 13181891838990 13449350513984 13755017571120 13809600974180 14060684628256 14410018407840 14500081022889 15065019244560 15130519328232 15818270206788 16571521169016 16811688142480 17292022089408 17575855785320 18078023093472 18340023428160 18913149160290 19333441363852 19772837758485 20086692326080 20174025770976 20714401461270 21091026942384 21615027611760 22095361558688 22597528866840 24166801704815 24857281753524 25217532213720 26363783677980 27510035142240 27619201948360 28121369256512 28820036815680 29000162045778 30130038489120 30261038656464 31071602191905 31636540413576 33143042338032 33623376284960 35151711570640 36156046186944 37826298320580 38666882727704 39545675516970 40348051541952 41428802922540 42182053884768 43230055223520 43500243068667 44190723117376 45195057733680 48333603409630 49714563507048 50435064427440 52727567355960 55020070284480 55238403896720 58000324091556 60260076978240 60522077312928 62143204383810 63273080827152 66286084676064 67246752569920 70303423141280 72500405114445 75652596641160 77333765455408 79091351033940 82857605845080 84364107769536 86460110447040 87000486137334 90390115467360 96667206819260 99429127014096 100870128854880 105455134711920 110476807793440 116000648183112 121044154625856 124286408767620 126546161654304 132572169352128 140606846282560 145000810228890 151305193282320 154667530910816 158182702067880 165715211690160 174000972274668 180780230934720 193334413638520 198858254028192 201740257709760 210910269423840 217501215343335 220953615586880 232001296366224 248572817535240 253092323308608 290001620457780 302610386564640 309335061821632 316365404135760 331430423380320 348001944549336 386668827277040 397716508056384 421820538847680 435002430686670 464002592732448 497145635070480 580003240915560 605220773129280 632730808271520 662860846760640 696003889098672 773337654554080 870004861373340 928005185464896 994291270140960 1160006481831120 1265461616543040 1392007778197344 1546675309108160 1740009722746680 1988582540281920 2320012963662240 2784015556394688 3480019445493360 4640025927324480 6960038890986720 13920077781973440
- Sum of all divisors σ(n): 62289007592887296
- Sum of proper divisors (its aliquot sum) s(n): 48368929810913856
- 13920077781973440 is an abundant number, because the sum of its proper divisors (48368929810913856) is greater than itself. Its abundance is 34448852028940416
Bases of 13920077781973440
- Binary: 1100010111010000111100101010110111000010111001110000002
- Hexadecimal: 0x31743CAB70B9C0
- Base-36: 3T297G9MNK0
Squares and roots of 13920077781973440
- 13920077781973440 squared (139200777819734402) is 193768565456190604992220865433600
- 13920077781973440 cubed (139200777819734403) is 2697273502851585041810835529290473770089283584000
-
The
square root of 13920077781973440 is 117983379.2615444627 -
The
cube root of 13920077781973440 is 240554.7225403137
Scales and comparisons
How big is 13920077781973440?- 13,920,077,781,973,440 seconds is equal to 442,615,415 years, 43 weeks, 4 days, 10 hours, 24 minutes.
-
To count from 1 to 13,920,077,781,973,440 would take you about one billion, three hundred twenty-seven million, eight hundred forty-six thousand, two hundred forty-seven 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 13920077781973440 cubic inches would be around 20046.2 feet tall.
Recreational maths with 13920077781973440
- 13920077781973440 backwards is 04437918777002931
- 13920077781973440 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13920077781973440's digits is 72
- 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 13920077781973440 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 13920077781973440 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13920077781973440/
Chicago style:
Numbermatics. 2024. "Number 13920077781973440 - Facts about the integer". https://numbermatics.com/n/13920077781973440/
The information we have on file for 13920077781973440 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 13920077781973440, math, Factors of 13920077781973440, curriculum, school, college, exams, university, Prime factorization of 13920077781973440, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred twenty trillion, seventy-seven billion, seven hundred eighty-one million, nine hundred seventy-three thousand, four hundred forty.