137985753782272
137,985,753,782,272 is an even composite number composed of five prime numbers multiplied together.
What does the number 137985753782272 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
137985753782272 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137985753782272:
211 × 112 × 172 × 293 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 17 × 17 × 29 × 29 × 29 × 79)See below for interesting mathematical facts about the number 137985753782272 from the Numbermatics database.
Names of 137985753782272
- Cardinal: 137985753782272 can be written as One hundred thirty-seven trillion, nine hundred eighty-five billion, seven hundred fifty-three million, seven hundred eighty-two thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.37985753782272 × 1014
Factors of 137985753782272
Divisors of 137985753782272
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 8 11 16 17 22 29 32 34 44 58 64 68 79 88 116 121 128 136 158 176 187 232 242 256 272 289 316 319 352 374 464 484 493 512 544 578 632 638 704 748 841 869 928 968 986 1024 1088 1156 1264 1276 1343 1408 1496 1682 1738 1856 1936 1972 2048 2057 2176 2291 2312 2528 2552 2686 2816 2992 3179 3364 3476 3509 3712 3872 3944 4114 4352 4582 4624 5056 5104 5372 5423 5632 5984 6358 6728 6952 7018 7424 7744 7888 8228 8381 8704 9164 9248 9251 9559 10112 10208 10744 10846 11264 11968 12716 13456 13904 14036 14297 14773 14848 15488 15776 16456 16762 17408 18328 18496 18502 19118 20224 20416 21488 21692 22528 22831 23936 24389 25201 25432 26912 27808 28072 28594 29546 29696 30976 31552 32912 33524 34816 34969 36656 36992 37004 38236 38947 40448 40832 42976 43384 45662 47872 48778 50402 50864 53824 55616 56144 57188 59092 59392 59653 61952 63104 65824 66439 67048 69938 73312 73984 74008 76472 77894 80896 81664 85952 86768 91324 92191 95744 97556 100804 101728 101761 107648 111232 112288 114376 118184 119306 123904 126208 131648 132878 134096 139876 146624 147968 148016 152944 155788 157267 161792 162503 163328 171904 173536 182648 184382 191488 195112 201608 203456 203522 215296 222464 224576 228752 236368 238612 243049 247808 251141 252416 263296 265756 268192 268279 277211 279752 293248 295936 296032 305888 311576 314534 325006 326656 343808 347072 365296 368764 382976 390224 403216 406912 407044 414613 428417 430592 444928 449152 457504 472736 477224 486098 502282 504832 526592 531512 536384 536558 554422 559504 586496 591872 592064 611776 623152 629068 650012 653312 662099 687616 694144 730592 730829 737528 780448 806432 813824 814088 829226 856834 861184 889856 898304 915008 945472 954448 972196 1004564 1009664 1014101 1053184 1063024 1072768 1073116 1108844 1119008 1129463 1172992 1184128 1223552 1246304 1258136 1300024 1324198 1375232 1388288 1461184 1461658 1475056 1560896 1612864 1627648 1628176 1658452 1713668 1722368 1729937 1779712 1796608 1830016 1890944 1908896 1926731 1944392 2009128 2028202 2106368 2126048 2145536 2146232 2217688 2238016 2258926 2345984 2368256 2447104 2492608 2516272 2600048 2648396 2673539 2750464 2762551 2776576 2922368 2923316 2950112 2951069 3121792 3225728 3255296 3256352 3316904 3427336 3459874 3593216 3660032 3781888 3817792 3853462 3888784 4018256 4056404 4212736 4252096 4291072 4292464 4435376 4476032 4517852 4560743 4691968 4712587 4736512 4894208 4985216 5032544 5200096 5296792 5347078 5525102 5553152 5844736 5846632 5900224 5902138 6243584 6451456 6510592 6512704 6633808 6854672 6919748 7048421 7186432 7283089 7320064 7563776 7635584 7706924 7777568 8036512 8039119 8112808 8504192 8582144 8584928 8870752 8952064 9035704 9121486 9425174 9473024 9788416 9970432 10065088 10400192 10593584 10694156 11050204 11106304 11689472 11693264 11800448 11804276 12424093 12487168 12902912 13025408 13267616 13709344 13839496 14096842 14566178 14640128 15127552 15271168 15413848 15555136 16073024 16078238 16225616 17008384 17164288 17169856 17741504 17904128 18071408 18242972 18850348 18946048 19200871 19576832 19940864 20130176 20800384 21187168 21194041 21388312 22100408 23378944 23386528 23600896 23608552 24848186 24974336 25805824 26050816 26535232 27418688 27678992 28193684 29132356 29280256 29408929 30255104 30542336 30827696 31110272 32146048 32156476 32451232 32754427 34016768 34339712 35483008 35808256 36142816 36485944 37700696 38401742 39881728 40260352 41600768 42374336 42388082 42776624 44200816 46757888 46773056 47201792 47217104 49696372 49948672 50168173 51611648 52101632 53070464 54837376 55357984 56387368 58264712 58817858 61084672 61655392 62220544 64292096 64312952 64902464 65508854 68033536 68679424 70966016 71616512 72285632 72971888 75401392 76803484 77532631 79763456 80113979 80520704 83201536 84748672 84776164 85553248 88401632 93546112 94403584 94434208 99392744 100336346 104203264 106140928 109674752 110715968 112774736 116529424 117635716 122169344 123310784 124441088 128584192 128625904 129804928 131017708 136067072 136665023 137358848 141932032 144571264 145943776 150802784 153606968 155065262 160227958 161041408 166403072 169497344 169552328 171106496 176803264 187092224 188807168 188868416 198785488 200672692 208406528 211209581 212281856 219349504 221431936 225549472 233058848 233134451 235271432 246621568 248882176 257168384 257251808 259609856 262035416 273330046 274717696 283864064 289142528 291887552 301605568 307213936 310130524 320455916 322082816 332806144 338994688 339104656 342212992 353606528 360298697 374184448 377736832 397570976 401345384 422419162 424563712 438699008 442863872 451098944 466117696 466268902 470542864 493243136 497764352 514336768 514503616 519219712 524070832 546660092 549435392 556825259 567728128 578285056 583775104 603211136 614427872 620261048 640911832 677989376 678209312 684425984 707213056 720597394 748368896 755473664 795141952 802690768 844838324 849127424 852858941 877398016 885727744 902197888 932235392 932537804 941085728 986486272 1029007232 1038439424 1048141664 1093320184 1113650518 1156570112 1167550208 1206422272 1228855744 1240522096 1281823664 1355978752 1356418624 1368851968 1414426112 1441194788 1496737792 1510947328 1590283904 1605381536 1689676648 1705717882 1771455488 1804395776 1864470784 1865075608 1882171456 1972972544 2058014464 2076878848 2096283328 2186640368 2227301036 2313140224 2323305391 2335100416 2412844544 2457711488 2481044192 2563647328 2712837248 2737703936 2828852224 2882389576 3021894656 3180567808 3210763072 3379353296 3411435764 3542910976 3608791552 3728941568 3730151216 3764342912 3945945088 3963285667 4116028928 4192566656 4373280736 4454602072 4646610782 4670200832 4825689088 4915422976 4962088384 5127294656 5425674496 5475407872 5657704448 5764779152 6043789312 6125077849 6361135616 6421526144 6758706592 6822871528 7217583104 7457883136 7460302432 7528685824 7926571334 8232057856 8385133312 8746561472 8909204144 9293221564 9340401664 9651378176 9830845952 9924176768 10254589312 10851348992 11529558304 12250155698 12722271232 12843052288 13517413184 13645743056 14435166208 14915766272 14920604864 15057371648 15853142668 16464115712 16770266624 17493122944 17818408288 18586443128 19661691904 19848353536 20509178624 21702697984 23059116608 24500311396 25444542464 25686104576 27034826368 27291486112 29841209728 30114743296 31706285336 33540533248 34986245888 35636816576 37172886256 39323383808 39696707072 41018357248 43405395968 46118233216 49000622792 51372209152 54069652736 54582972224 59682419456 60229486592 63412570672 67081066496 67375856339 69972491776 71273633152 74345772512 79393414144 82036714496 92236466432 98001245584 102744418304 108139305472 109165944448 119364838912 126825141344 134751712678 139944983552 142547266304 148691545024 158786828288 164073428992 184472932864 196002491168 216278610944 218331888896 238729677824 253650282688 269503425356 279889967104 285094532608 297383090048 368945865728 392004982336 432557221888 436663777792 477459355648 507300565376 539006850712 570189065216 594766180096 737891731456 784009964672 873327555584 1014601130752 1078013701424 1140378130432 1189532360192 1568019929344 1746655111168 2029202261504 2156027402848 2379064720384 3136039858688 4058404523008 4312054805696 4758129440768 6272079717376 8116809046016 8624109611392 12544159434752 17248219222784 34496438445568 68992876891136 137985753782272
- Sum of all divisors σ(n): 337883711256000
- Sum of proper divisors (its aliquot sum) s(n): 199897957473728
- 137985753782272 is an abundant number, because the sum of its proper divisors (199897957473728) is greater than itself. Its abundance is 61912203691456
Bases of 137985753782272
- Binary: 111110101111111010011111101011010011000000000002
- Hexadecimal: 0x7D7F4FD69800
- Base-36: 1CWTS345J4
Squares and roots of 137985753782272
- 137985753782272 squared (1379857537822722) is 19040068246861791553581481984
- 137985753782272 cubed (1379857537822723) is 2627258169109126462059048040621467026587648
-
The
square root of 137985753782272 is 11746733.7495268019 -
The
cube root of 137985753782272 is 51674.7142147023
Scales and comparisons
How big is 137985753782272?- 137,985,753,782,272 seconds is equal to 4,387,520 years, 7 weeks, 6 days, 10 hours, 37 minutes, 52 seconds.
-
To count from 1 to 137,985,753,782,272 would take you about ten million, nine hundred sixty-eight thousand, eight hundred 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 137985753782272 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137985753782272
- 137985753782272 backwards is 272287357589731
- The number of decimal digits it has is: 15
- The sum of 137985753782272's digits is 76
- 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 137985753782272 - Facts about the integer". Numbermatics.com. 2024. Web. 26 June 2024.
APA style:
Numbermatics. (2024). Number 137985753782272 - Facts about the integer. Retrieved 26 June 2024, from https://numbermatics.com/n/137985753782272/
Chicago style:
Numbermatics. 2024. "Number 137985753782272 - Facts about the integer". https://numbermatics.com/n/137985753782272/
The information we have on file for 137985753782272 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 137985753782272, math, Factors of 137985753782272, curriculum, school, college, exams, university, Prime factorization of 137985753782272, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred eighty-five billion, seven hundred fifty-three million, seven hundred eighty-two thousand, two hundred seventy-two.