122920231732992
122,920,231,732,992 is an even composite number composed of seven prime numbers multiplied together.
What does the number 122920231732992 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
122920231732992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 122920231732992:
28 × 33 × 29 × 37 × 41 × 149 × 2713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 29 × 37 × 41 × 149 × 2713)See below for interesting mathematical facts about the number 122920231732992 from the Numbermatics database.
Names of 122920231732992
- Cardinal: 122920231732992 can be written as One hundred twenty-two trillion, nine hundred twenty billion, two hundred thirty-one million, seven hundred thirty-two thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.22920231732992 × 1014
Factors of 122920231732992
Divisors of 122920231732992
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 37 41 48 54 58 64 72 74 82 87 96 108 111 116 123 128 144 148 149 164 174 192 216 222 232 246 256 261 288 296 298 328 333 348 369 384 432 444 447 464 492 522 576 592 596 656 666 696 738 768 783 864 888 894 928 984 999 1044 1073 1107 1152 1184 1189 1192 1312 1332 1341 1392 1476 1517 1566 1728 1776 1788 1856 1968 1998 2088 2146 2214 2304 2368 2378 2384 2624 2664 2682 2713 2784 2952 3034 3132 3219 3456 3552 3567 3576 3712 3936 3996 4023 4176 4292 4321 4428 4551 4736 4756 4768 5248 5328 5364 5426 5513 5568 5904 6068 6109 6264 6438 6912 7104 7134 7152 7424 7872 7992 8046 8139 8352 8584 8642 8856 9102 9472 9512 9536 9657 10496 10656 10701 10728 10852 11026 11136 11808 12136 12218 12528 12876 12963 13653 14208 14268 14304 15744 15984 16092 16278 16539 16704 17168 17284 17712 18204 18327 19024 19072 19314 21312 21402 21456 21704 22052 22272 23616 24272 24417 24436 25056 25752 25926 27306 28416 28536 28608 28971 31488 31968 32103 32184 32556 33078 33408 34336 34568 35424 36408 36654 38048 38144 38628 38889 40959 42624 42804 42912 43408 43993 44104 47232 48544 48834 48872 49617 50112 51504 51852 54612 54981 57072 57216 57942 63936 64206 64368 65112 66156 66816 68672 69136 70848 72816 73251 73308 76096 77256 77778 78677 81918 85248 85608 85824 86816 87986 88208 94464 97088 97668 97744 99234 100224 100381 103008 103704 109224 109962 111233 114144 114432 115884 116667 127872 128412 128736 130224 131979 132312 137344 138272 141696 145632 146502 146616 148851 152192 154512 155556 157354 159877 163836 164943 171216 171648 173632 175972 176416 177161 194176 195336 195488 198468 200448 200762 206016 207408 218448 219924 222466 226033 228288 231768 233334 236031 255744 256824 257472 260448 263958 264624 274688 276544 283392 291264 293004 293232 297702 301143 304384 309024 311112 314708 319754 327672 329886 333699 342432 343296 347264 351944 352832 354322 388352 390672 390976 395937 396936 401524 404237 412032 414816 436896 439848 444932 452066 456576 463536 466668 472062 479631 513648 514944 520896 527916 529248 531483 553088 582528 586008 586464 595404 602286 618048 622224 629416 639508 655344 659772 667398 678099 684864 694528 703888 705664 708093 708644 781344 781952 791874 793872 803048 808474 824064 829632 873792 879696 889864 903429 904132 913152 927072 933336 944124 959262 1001097 1027296 1029888 1041792 1055832 1058496 1062966 1106176 1165056 1172016 1172928 1187811 1190808 1204572 1212711 1236096 1244448 1258832 1279016 1310688 1319544 1334796 1356198 1369728 1407776 1411328 1416186 1417288 1438893 1562688 1563904 1583748 1587744 1594449 1606096 1616948 1659264 1747584 1759392 1779728 1806858 1808264 1854144 1866672 1888248 1918524 2002194 2034297 2054592 2083584 2111664 2116992 2124279 2125932 2344032 2345856 2375622 2381616 2409144 2425422 2472192 2488896 2517664 2558032 2621376 2639088 2669592 2710287 2712396 2739456 2815552 2832372 2834576 2877786 2911049 3003291 3125376 3167496 3175488 3188898 3212192 3225757 3233896 3318528 3495168 3518784 3559456 3613716 3616528 3638133 3708288 3733344 3776496 3837048 4004388 4068594 4109184 4115621 4223328 4233984 4248558 4251864 4316679 4688064 4691712 4751244 4763232 4783347 4818288 4850844 4977792 5035328 5116064 5242752 5278176 5339184 5420574 5424792 5631104 5664744 5669152 5755572 5822098 6006582 6102891 6250752 6334992 6350976 6377796 6424384 6451514 6467792 6554957 7037568 7118912 7227432 7233056 7276266 7416576 7466688 7552992 7674096 8008776 8137188 8218368 8231242 8446656 8497116 8503728 8633358 8733147 9376128 9502488 9526464 9566694 9636576 9677271 9701688 9955584 10070656 10232128 10485504 10556352 10678368 10841148 10849584 10914399 11262208 11329488 11338304 11511144 11644196 11722873 12013164 12205782 12346863 12669984 12701952 12755592 12848768 12903028 12935584 13109914 14075136 14237824 14454864 14466112 14552532 14933376 14956769 15105984 15348192 16017552 16274376 16462484 16573717 16893312 16994232 17007456 17266716 17466294 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14223586176 14319691488 14717460696 15102620928 15277185152 15380409376 15614866836 16557143283 17186833296 17230197888 17302960548 17783598341 19092921984 19623280928 20121170688 20257124544 20819822448 22076191044 22296432384 22653931392 22915777728 23070614064 23422300254 25780249944 25845296832 25954440822 27009499392 27759763264 28447172352 28639382976 29434921392 30554370304 30760818752 31229733672 33114286566 34373666592 34460395776 34605921096 35567196682 38185843968 39246561856 40514249088 41639644896 44152382088 45307862784 45831555456 46141228128 46844600508 51560499888 51690593664 51908881644 53350795023 55519526528 57278765952 58869842784 61521637504 62459467344 66228573132 68747333184 69211842192 71134393364 78493123712 81028498176 83279289792 88304764176 91663110912 92282456256 93689201016 103120999776 103381187328 103817763288 106701590046 111039053056 114557531904 117739685568 123043275008 124918934688 132457146264 137494666368 138423684384 142268786728 156986247424 160052385069 166558579584 176609528352 184564912512 187378402032 206241999552 207635526576 213403180092 235479371136 249837869376 264914292528 274989332736 276847368768 284537573456 320104770138 333117159168 353219056704 369129825024 374756804064 412483999104 415271053152 426806360184 470958742272 480157155207 499675738752 529828585056 553694737536 569075146912 640209540276 706438113408 749513608128 824967998208 830542106304 853612720368 960314310414 999351477504 1059657170112 1107389475072 1138150293824 1280419080552 1412876226816 1499027216256 1661084212608 1707225440736 1920628620828 2119314340224 2276300587648 2560838161104 2998054432512 3322168425216 3414450881472 3841257241656 4238628680448 4552601175296 5121676322208 6828901762944 7682514483312 10243352644416 13657803525888 15365028966624 20486705288832 30730057933248 40973410577664 61460115866496 122920231732992
- Sum of all divisors σ(n): 398415417120000
- Sum of proper divisors (its aliquot sum) s(n): 275495185387008
- 122920231732992 is an abundant number, because the sum of its proper divisors (275495185387008) is greater than itself. Its abundance is 152574953654016
Bases of 122920231732992
- Binary: 110111111001011100110001011111110000111000000002
- Hexadecimal: 0x6FCB98BF8700
- Base-36: 17KKRW9MO0
Squares and roots of 122920231732992
- 122920231732992 squared (1229202317329922) is 15109383369292453459581272064
- 122920231732992 cubed (1229202317329923) is 1857248905096043820432893171626122556735488
-
The
square root of 122920231732992 is 11086939.6919525093 -
The
cube root of 122920231732992 is 49721.1452562009
Scales and comparisons
How big is 122920231732992?- 122,920,231,732,992 seconds is equal to 3,908,483 years, 7 weeks, 6 days, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 122,920,231,732,992 would take you about nine million, seven hundred seventy-one thousand, two hundred 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 122920231732992 cubic inches would be around 4143.4 feet tall.
Recreational maths with 122920231732992
- 122920231732992 backwards is 299237132029221
- 122920231732992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 122920231732992's digits is 54
- More coming soon!
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The information we have on file for 122920231732992 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 122920231732992, math, Factors of 122920231732992, curriculum, school, college, exams, university, Prime factorization of 122920231732992, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two trillion, nine hundred twenty billion, two hundred thirty-one million, seven hundred thirty-two thousand, nine hundred ninety-two.