137125429645568832
137,125,429,645,568,832 is an even composite number composed of six prime numbers multiplied together.
What does the number 137125429645568832 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1890 divisors.
137125429645568832 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 137125429645568832:
26 × 32 × 13 × 314 × 612 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 31 × 31 × 31 × 61 × 61 × 73 × 73)See below for interesting mathematical facts about the number 137125429645568832 from the Numbermatics database.
Names of 137125429645568832
- Cardinal: 137125429645568832 can be written as One hundred thirty-seven quadrillion, one hundred twenty-five trillion, four hundred twenty-nine billion, six hundred forty-five million, five hundred sixty-eight thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.37125429645568832 × 1017
Factors of 137125429645568832
Divisors of 137125429645568832
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 61 62 64 72 73 78 93 96 104 117 122 124 144 146 156 183 186 192 208 219 234 244 248 279 288 292 312 366 372 403 416 438 468 488 496 549 558 576 584 624 657 732 744 793 806 832 876 936 949 961 976 992 1098 1116 1168 1209 1248 1314 1464 1488 1586 1612 1752 1872 1891 1898 1922 1952 1984 2196 2232 2263 2336 2379 2418 2496 2628 2847 2883 2928 2976 3172 3224 3504 3627 3721 3744 3782 3796 3844 3904 4392 4453 4464 4526 4672 4758 4836 5256 5329 5673 5694 5766 5856 5952 6344 6448 6789 7008 7137 7254 7442 7488 7564 7592 7688 8541 8649 8784 8906 8928 9052 9516 9672 10512 10658 11163 11346 11388 11532 11712 12493 12688 12896 13359 13578 14016 14274 14508 14884 15128 15184 15376 15987 17019 17082 17298 17568 17812 17856 18104 19032 19344 20367 21024 21316 22326 22692 22776 23064 24583 24986 25376 25792 26718 27156 28548 29016 29419 29768 29791 30256 30368 30752 31974 33489 34038 34164 34596 35136 35624 36208 37479 38064 38688 40077 40734 42048 42632 44652 45384 45552 46128 47961 48373 49166 49972 50752 53436 54312 57096 57889 58032 58621 58838 59536 59582 60512 60736 61504 63948 66978 68076 68328 69192 69277 70153 71248 72416 73749 74958 76128 77376 80154 81468 85264 88257 89304 89373 90768 91104 92256 95922 96746 98332 99944 106872 108624 112437 114192 115351 115778 116064 117242 117676 119072 119164 121024 127896 133956 136152 136656 138043 138384 138554 140306 142496 144832 145119 147498 149916 152256 160308 162936 165199 170528 173667 175863 176514 178608 178746 181536 182208 184512 191844 193492 196664 199888 207831 210459 213744 217248 221247 224874 228384 230702 231556 232128 234484 235352 238144 238328 255792 264771 267912 268119 271633 272304 273312 276086 276768 277108 280612 284992 290238 294996 299832 320616 325069 325872 330398 341056 346053 347334 351726 353028 357216 357492 363072 383688 386984 387283 393328 399776 414129 415662 420918 427488 434496 435357 442494 449748 456768 461404 463112 468968 470704 476656 495597 511584 521001 527589 529542 535824 536238 543266 544608 546624 552172 553536 554216 561224 580476 589992 599664 623493 631377 641232 650138 651744 660796 692106 694668 703452 706056 714432 714984 762073 767376 773968 774566 786656 799552 814899 828258 831324 841836 854976 870714 884988 899496 911989 922808 923521 926224 937936 941408 953312 975207 991194 1023168 1038159 1042002 1055178 1059084 1071648 1072476 1086532 1089216 1104344 1108432 1122448 1160952 1161849 1179984 1199328 1242387 1246986 1262754 1282464 1300276 1303488 1321592 1384212 1389336 1406904 1412112 1429968 1486791 1499563 1524146 1534752 1547936 1549132 1573312 1629798 1656516 1662648 1683672 1741428 1769976 1794559 1798992 1817251 1823978 1845616 1847042 1852448 1875872 1882816 1906624 1950414 1982388 2076318 2084004 2110356 2118168 2143296 2144952 2147587 2173064 2174743 2208688 2216864 2244896 2286219 2321904 2323698 2359968 2398656 2444697 2484774 2493972 2525508 2564928 2600552 2643184 2735967 2768424 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116209566948 118023451968 118114641816 122166398484 123711179076 124169126328 125893697527 126204685776 127858739632 127957528634 129475499248 129954784544 131598048416 132085190848 134020443999 138343684128 140611613376 143841082086 145659936654 146199132612 148047804468 148481116992 148595839704 150358644288 152446958792 154946089264 157486189088 160385121507 162888531312 164948238768 165558835104 168272914368 171502828641 174314350422 177035177952 177171962724 178693925332 179937393984 191788109448 191936292951 194213248872 194932176816 197397072624 198127786272 207515526192 210397686278 210917420064 213846828676 217184708416 219930985024 228670438188 232419133896 236229283632 244332796968 247422358152 247726308037 248338252656 250858779793 251787395054 252409371552 255717479264 255915057268 258950998496 259909569088 263196096832 268040887998 276687368256 287682164172 291319873308 292398265224 296095608936 297191679408 300208047949 304893917584 309892178528 314972378176 315596529417 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1003435119172 1007149580216 1023660229072 1072163551992 1133043277743 1150728656688 1151617757706 1165279493232 1169593060896 1181463930638 1184382435744 1188766717632 1200832191796 1219575670336 1262386117668 1283080972056 1372022629128 1394514803376 1417375701792 1429551402656 1486357848222 1505152678758 1510724370324 1534304875584 1535490343608 1553705990976 1608245327988 1683181490224 1710774629408 1772195895957 1801248287694 1829363505504 1859353071168 1893579176502 1924621458084 1954662375744 1979378865216 1981810464296 2006870238344 2014299160432 2047320458144 2144327103984 2229536772333 2257729018137 2266086555486 2301457313376 2303235515412 2330558986464 2339186121792 2362927861276 2368764871488 2401664383592 2524772235336 2566161944112 2701872431541 2744045258256 2789029606752 2834751403584 2859102805312 2972715696444 3010305357516 3021448740648 3070980687216 3216490655976 3261164137309 3366362980448 3421549258816 3544391791914 3602496575388 3658727011008 3787158353004 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18425884123296 18903422890208 19213315068736 19566984823854 20198177882688 21266350751484 21614979452328 23038546647441 23416227740022 23781725571552 24082442860128 24171589925184 25731925247808 26089313098472 28355134335312 28819972603104 29350477235781 30297266824032 30718062196588 30793943329344 31221636986696 35124341610033 35672588357328 36123664290192 36257384887776 36625381849778 36851768246592 37806845780416 39133969647708 42532701502968 43229958904656 46077093294882 46832455480044 47563451143104 48164885720256 52178626196944 54938072774667 56710268670624 57639945206208 58700954471562 60594533648064 61436124393176 62443273973392 69115639942323 70248683220066 71345176714656 72247328580384 72514769775552 73250763699556 78267939295416 85065403005936 86459917809312 92154186589764 93664910960088 104357252393888 109876145549334 113420537341248 117401908943124 122872248786352 124886547946784 138231279884646 140497366440132 142690353429312 144494657160768 146501527399112 156535878590832 164814218324001 170130806011872 172919835618624 184308373179528 187329821920176 208714504787776 219752291098668 234803817886248 238064982023557 245744497572704 249773095893568 276462559769292 280994732880264 293003054798224 313071757181664 329628436648002 340261612023744 368616746359056 374659643840352 439504582197336 469607635772496 476129964047114 491488995145408 552925119538584 561989465760528 586006109596448 626143514363328 659256873296004 714194946070671 737233492718112 749319287680704 879009164394672 939215271544992 952259928094228 1105850239077168 1123978931521056 1172012219192896 1318513746592008 1428389892141342 1474466985436224 1758018328789344 1878430543089984 1904519856188456 2142584838212013 2211700478154336 2247957863042112 2637027493184016 2856779784282684 3516036657578688 3809039712376912 4285169676424026 4423400956308672 5274054986368032 5713559568565368 7618079424753824 8570339352848052 10548109972736064 11427119137130736 15236158849507648 17140678705696104 22854238274261472 34281357411392208 45708476548522944 68562714822784416 137125429645568832
- Sum of all divisors σ(n): 450851601868397730
- Sum of proper divisors (its aliquot sum) s(n): 313726172222828898
- 137125429645568832 is an abundant number, because the sum of its proper divisors (313726172222828898) is greater than itself. Its abundance is 176600742577260066
Bases of 137125429645568832
- Binary: 1111001110010101011011010000010111011001001101011010000002
- Hexadecimal: 0x1E72ADA0BB26B40
- Base-36: 11I6WOQ9AOG0
Squares and roots of 137125429645568832
- 137125429645568832 squared (1371254296455688322) is 18803383455481847490816972849844224
- 137125429645568832 cubed (1371254296455688323) is 2578422035123329033894391244365085687621743069626368
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The
square root of 137125429645568832 is 370304509.3508433527 -
The
cube root of 137125429645568832 is 515670.9508569045
Scales and comparisons
How big is 137125429645568832?- 137,125,429,645,568,832 seconds is equal to 4,360,164,505 years, 48 weeks, 1 day, 1 hour, 7 minutes, 12 seconds.
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To count from 1 to 137,125,429,645,568,832 would take you about thirteen billion, eighty million, four hundred ninety-three thousand, five hundred seventeen 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 137125429645568832 cubic inches would be around 42972.6 feet tall.
Recreational maths with 137125429645568832
- 137125429645568832 backwards is 238865546924521731
- The number of decimal digits it has is: 18
- The sum of 137125429645568832's digits is 81
- More coming soon!
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The information we have on file for 137125429645568832 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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