138872998162625601
138,872,998,162,625,601 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138872998162625601 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
138872998162625601 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138872998162625601:
3 × 7 × 173 × 193 × 233 × 1272
(3 × 7 × 17 × 17 × 17 × 19 × 19 × 19 × 23 × 23 × 23 × 127 × 127)See below for interesting mathematical facts about the number 138872998162625601 from the Numbermatics database.
Names of 138872998162625601
- Cardinal: 138872998162625601 can be written as One hundred thirty-eight quadrillion, eight hundred seventy-two trillion, nine hundred ninety-eight billion, one hundred sixty-two million, six hundred twenty-five thousand, six hundred one.
Scientific notation
- Scientific notation: 1.38872998162625601 × 1017
Factors of 138872998162625601
Divisors of 138872998162625601
- Number of divisors d(n): 768
-
Complete list of divisors:
1 3 7 17 19 21 23 51 57 69 119 127 133 161 289 323 357 361 381 391 399 437 483 529 867 889 969 1083 1173 1311 1587 2023 2159 2261 2413 2527 2667 2737 2921 3059 3703 4913 5491 6069 6137 6477 6647 6783 6859 7239 7429 7581 8211 8303 8763 8993 9177 10051 11109 12167 14739 15113 16129 16473 16891 18411 19941 20447 20577 22287 24909 26979 30153 34391 36501 36703 38437 41021 42959 45339 45847 46529 48013 48387 49657 50673 52003 55499 58121 61341 62951 67183 70357 85169 93347 103173 104329 110109 112903 112999 115311 116603 123063 126293 128877 137541 139587 141151 144039 148971 152881 156009 157757 166497 170867 174363 188853 190969 201549 206839 211071 231173 255507 256921 274193 280041 287147 306451 312987 320929 338709 338997 347599 349809 370967 378879 388493 423453 458643 470281 473271 512601 572907 620517 623951 653429 693519 697357 730303 770763 779399 790993 816221 822579 844169 861441 871093 884051 919353 943483 962787 988057 1042797 1054481 1070167 1104299 1112901 1142111 1165479 1196069 1276477 1336783 1410843 1447873 1545209 1618211 1773593 1871853 1919351 1960287 1982251 2092071 2145157 2146981 2190909 2338197 2372979 2399567 2448663 2532507 2596769 2598977 2613279 2652153 2681869 2830449 2904739 2964171 3163443 3210501 3246473 3312897 3426333 3516263 3588207 3628411 3829431 3929941 4010349 4343619 4367657 4392287 4635627 4661281 4854633 4881499 5209667 5320779 5455793 5758053 5822569 5909183 5946753 6097651 6306439 6435471 6440943 6604381 7048373 7198701 7381367 7790307 7796931 7994777 8045607 8532241 8714217 8935339 9739419 10548789 10816463 10885233 11789823 11855069 12415151 13102971 13176861 13249783 13875757 13983843 14350873 14644497 14808581 15028867 15629001 16039211 16367379 16796969 17467707 17727549 17926177 18192839 18292953 18773083 18919317 19415887 19813143 20035139 20333173 21145119 21700109 22144101 22725311 23984331 24253063 24613841 25398877 25596723 26268553 26806017 27509587 29358971 30746009 32449389 32628967 33698267 35565207 36467669 37245453 39749349 40757983 40792639 41627271 43052619 44145073 44425743 45086601 45591773 48117633 49338611 49380563 50390907 53778531 54578517 55190041 56319249 58247661 59725687 59776471 60105417 60999519 61682987 65100327 66808997 68175933 72759189 73841523 74668879 76196631 78805659 79241777 82528761 82985483 83453453 88076913 88564339 92238027 92748481 97886901 98983673 100456111 101094801 103660067 107209463 109403007 110628811 112274477 119822341 122273949 122377917 125483239 132435219 133919087 135911209 136775319 140245973 145048097 148015833 148141689 151900763 162112579 165570123 169771441 179177061 179329413 183879871 185048961 196241543 200426991 205512797 224006637 225246311 235887869 237725331 248956449 250360359 251745877 265693017 272666587 278245443 285548473 296951019 301368333 304745009 310980201 319142411 321628389 330070079 331886433 336823431 340597363 345663941 359467023 368901853 376449717 386330287 401757261 407733627 412302071 418435297 420737919 431780909 435144291 446565401 455702289 460808197 467662979 486337737 499102507 509314323 522682153 551639613 554692439 557820449 584174171 588724629 616538391 619950373 675738933 692885711 707663607 750466241 755237631 774401677 775060141 817999761 838756387 856645419 914235027 937433609 938230697 957427233 990210237 1015336679 1021792089 1036991823 1048610779 1106705559 1134788053 1135752949 1158990861 1236906213 1255305891 1269370943 1295342727 1339696203 1373690801 1382424591 1402988937 1418708701 1497307521 1505593763 1568046459 1576724177 1664077317 1673461347 1682722441 1752522513 1762221139 1822560871 1859851119 1880689787 1908666109 2036979797 2078657133 2133215063 2251398723 2276624479 2310490553 2323205031 2325180423 2384181541 2465817649 2516269161 2544462653 2582312971 2755913843 2812300827 2814692091 2886114497 3046010037 3080139001 3125957807 3145832337 3225657379 3336106231 3404364159 3407258847 3493717549 3728589317 3808112829 3904743143 4121072403 4256126103 4279679909 4516781289 4730172531 5048167323 5180665153 5286663417 5425420987 5467682613 5642069361 5725998327 5790155171 6110939391 6271331501 6399645189 6567614879 6829873437 6931471659 7009135207 7152544623 7340275453 7397452947 7591611817 7633387959 7746938913 7833739349 7950270643 8267741529 8484742619 8658343491 8885596601 9240417003 9377873421 9482947633 9676972137 9930960907 10008318693 10481152647 10539156341 10598588531 11185767951 11714229429 11779057087 12757926097 12839039727 13164828509 14258858579 15541995459 15936371353 16276262961 17260723543 17370465513 17811238571 17826383243 18813994503 19291396901 19702844637 21027405621 21560973007 21579306031 22020826359 22774835451 23352743617 23501218047 23850811929 24118047917 25454227857 26100125219 26656789803 28448842899 28606281497 29792882721 29957759363 31617469023 31795765593 31971726379 34628656549 35337171261 36264656071 38273778291 38702616143 39494485527 40531086197 41918900033 42776575737 43255865101 43899320507 46850535331 47809114059 49063946449 51782170629 52362363017 53141282719 53433715713 53479149729 54836175443 56713805927 57874190703 58522641019 59393198333 63386018389 64682919021 64737918093 66380633431 70058230851 70843197023 72354143751 74190119717 78300375657 85818844491 89873278089 95915179137 98432637907 103885969647 108793968213 116107848429 119155298519 121593258591 124784682701 125756700099 129767595303 131697961521 133173568933 140551605993 144240624523 147191839347 151055142217 157087089051 159423848157 161210109761 164508526329 168826335419 170141417781 175567923057 178179594999 180176005027 190158055167 199141900293 200243970479 212529591069 222570359151 223802084653 242400595843 270918313001 293432300231 295297913721 302791055707 327953747317 357465895557 366536541119 374354048103 396996641489 399520706799 409658487133 410006814589 432721873569 443702128723 453165426651 483630329283 495902379161 506479006257 540528015081 543519348443 600731911437 657944474431 671406253959 689028465349 727201787529 735349706717 796459100627 812754939003 834087089633 880296900693 890160171289 908373167121 932214982531 964134700759 983861241951 994884897323 1009684371661 1077562312613 1099609623357 1128470768327 1190989924467 1204334349391 1228975461399 1230020443767 1261232035189 1331106386169 1346020743437 1487707137483 1630558045329 1973833423293 2067085396047 2206049120151 2263950671861 2389377301881 2502261268899 2670480513867 2740571865937 2796644947593 2870047702123 2892404102277 2984654691969 3029053114983 3062992085459 3232686937839 3385412304981 3613003048173 3783696105567 3804635439101 4038062230311 4605611321017 5147447947019 5575213704389 6231121199023 6748942905313 6791852015583 6964194281261 7542936188291 8221715597811 8430340445737 8610143106369 9188976256377 9422145204059 11413906317303 12500945014189 13816833963051 15132722911913 15442343841057 15847654703027 16725641113167 16913043254491 18318559314421 18693363597069 19184003061559 20246828715939 20473683939647 20892582843783 21440944598213 22628808564873 22882352638429 25291021337211 28266435612177 37502835042567 45398168735739 47542964109081 50739129763473 52070865452803 54955677943263 57552009184677 61421051818941 64322833794639 68647057915287 87506615099323 105929060383391 118391302781437 128229915200947 143315787577529 156212596358409 160176468469003 262519845297969 287521735326347 317787181150173 348052626973999 355173908344311 364496058169621 384689745602841 388999994853293 429947362732587 480529405407009 862565205979041 1044157880921997 1093488174508863 1166999984559879 2012652147284429 2436368388817993 2722999963973051 6037956441853287 6612999912505981 7309105166453979 8168999891919153 19838999737517943 46290999387541867 138872998162625601
- Sum of all divisors σ(n): 250084378589184000
- Sum of proper divisors (its aliquot sum) s(n): 111211380426558399
- 138872998162625601 is a deficient number, because the sum of its proper divisors (111211380426558399) is less than itself. Its deficiency is 27661617736067202
Bases of 138872998162625601
- Binary: 1111011010110000001000001100011000110000001110100010000012
- Hexadecimal: 0x1ED60418C607441
- Base-36: 11ZEDAMFGXFL
Squares and roots of 138872998162625601
- 138872998162625601 squared (1388729981626256012) is 19285709618676613551290682100611201
- 138872998162625601 cubed (1388729981626256013) is 2678264316439408233803928896200206617562437029956801
-
The
square root of 138872998162625601 is 372656675.9936357307 -
The
cube root of 138872998162625601 is 517852.3330998813
Scales and comparisons
How big is 138872998162625601?- 138,872,998,162,625,601 seconds is equal to 4,415,731,779 years, 9 weeks, 3 days, 23 hours, 33 minutes, 21 seconds.
-
To count from 1 to 138,872,998,162,625,601 would take you about thirteen billion, two hundred forty-seven million, one hundred ninety-five thousand, three hundred thirty-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 138872998162625601 cubic inches would be around 43154.4 feet tall.
Recreational maths with 138872998162625601
- 138872998162625601 backwards is 106526261899278831
- The number of decimal digits it has is: 18
- The sum of 138872998162625601's digits is 84
- More coming soon!
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The information we have on file for 138872998162625601 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!
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