137504156977152
137,504,156,977,152 is an even composite number composed of five prime numbers multiplied together.
What does the number 137504156977152 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
137504156977152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137504156977152:
211 × 32 × 72 × 413 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 41 × 41 × 41 × 47 × 47)See below for interesting mathematical facts about the number 137504156977152 from the Numbermatics database.
Names of 137504156977152
- Cardinal: 137504156977152 can be written as One hundred thirty-seven trillion, five hundred four billion, one hundred fifty-six million, nine hundred seventy-seven thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.37504156977152 × 1014
Factors of 137504156977152
Divisors of 137504156977152
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 47 48 49 56 63 64 72 82 84 94 96 98 112 123 126 128 141 144 147 164 168 188 192 196 224 246 252 256 282 287 288 294 328 329 336 369 376 384 392 423 441 448 492 504 512 564 574 576 588 656 658 672 738 752 768 784 846 861 882 896 984 987 1008 1024 1128 1148 1152 1176 1312 1316 1344 1476 1504 1536 1568 1681 1692 1722 1764 1792 1927 1968 1974 2009 2016 2048 2209 2256 2296 2303 2304 2352 2583 2624 2632 2688 2952 2961 3008 3072 3136 3362 3384 3444 3528 3584 3854 3936 3948 4018 4032 4418 4512 4592 4606 4608 4704 5043 5166 5248 5264 5376 5781 5904 5922 6016 6027 6144 6272 6627 6724 6768 6888 6909 7056 7168 7708 7872 7896 8036 8064 8836 9024 9184 9212 9216 9408 10086 10332 10496 10528 10752 11562 11767 11808 11844 12032 12054 12544 13254 13448 13489 13536 13776 13818 14112 14336 15129 15416 15463 15744 15792 16072 16128 17343 17672 18048 18081 18368 18424 18432 18816 19881 20172 20664 20727 20992 21056 21504 23124 23534 23616 23688 24064 24108 25088 26508 26896 26978 27072 27552 27636 28224 30258 30832 30926 31488 31584 32144 32256 34686 35301 35344 36096 36162 36736 36848 37632 39762 40344 40467 41328 41454 41984 42112 43008 46248 46389 47068 47232 47376 48128 48216 50176 53016 53792 53956 54144 55104 55272 56448 60516 61664 61852 62976 63168 64288 64512 68921 69372 70602 70688 72192 72324 73472 73696 75264 79007 79524 80688 80934 82369 82656 82908 83968 84224 90569 92496 92778 94136 94423 94464 94752 96256 96432 100352 105903 106032 107584 107912 108241 108288 110208 110544 112896 121032 121401 123328 123704 125952 126336 128576 129024 137842 138744 139167 141204 141376 144384 144648 146944 147392 150528 158014 159048 161376 161868 164738 165312 165816 168448 181138 184992 185556 188272 188846 188928 189504 192864 206763 211806 212064 215168 215824 216482 216576 220416 221088 225792 237021 242064 242802 246656 247107 247408 251904 252672 257152 271707 275684 277488 278334 282408 282752 283269 288768 289296 293888 294784 301056 316028 318096 322752 323736 324723 329476 330624 331632 336896 362276 369984 371112 376544 377692 377856 379008 385728 413526 423612 424128 430336 431648 432964 433152 440832 442176 451584 474042 482447 484128 485604 493312 494214 494816 505344 514304 543414 551368 553049 554976 556668 564816 565504 566538 578592 587776 589568 620289 632056 633983 636192 645504 647472 649446 658952 661248 663264 673792 711063 724552 739968 741321 742224 753088 755384 755712 758016 771456 815121 827052 847224 848256 849807 860672 863296 865928 866304 881664 884352 903168 948084 964894 968256 971208 974169 986624 988428 989632 1010688 1028608 1086828 1102736 1106098 1109952 1113336 1129632 1131008 1133076 1157184 1179136 1240578 1264112 1267966 1272384 1291008 1294944 1298892 1317904 1322496 1326528 1422126 1447341 1449104 1479936 1482642 1484448 1506176 1510768 1516032 1542912 1630242 1654104 1659147 1694448 1696512 1699614 1721344 1726592 1731856 1763328 1768704 1896168 1901949 1929788 1936512 1942416 1948338 1973248 1976856 1979264 2021376 2057216 2173656 2205472 2212196 2219904 2226672 2259264 2262016 2266152 2314368 2358272 2481156 2528224 2535932 2544768 2582016 2589888 2597784 2635808 2644992 2653056 2844252 2894682 2898208 2959872 2965284 2968896 3012352 3021536 3032064 3085824 3239287 3260484 3308208 3318294 3377129 3388896 3393024 3399228 3442688 3453184 3463712 3537408 3713329 3792336 3803898 3859576 3871343 3873024 3884832 3896676 3946496 3953712 3958528 4114432 4342023 4347312 4410944 4424392 4437881 4439808 4453344 4518528 4524032 4532304 4628736 4716544 4962312 4977441 5056448 5071864 5089536 5164032 5179776 5195568 5271616 5289984 5306112 5688504 5705847 5789364 5796416 5919744 5930568 5937792 6024704 6043072 6064128 6171648 6478574 6520968 6616416 6636588 6754258 6777792 6786048 6798456 6906368 6927424 7074816 7426658 7584672 7607796 7719152 7742686 7746048 7769664 7793352 7907424 7917056 8684046 8694624 8821888 8848784 8875762 8879616 8906688 9037056 9064608 9257472 9717861 9924624 9954882 10112896 10131387 10143728 10179072 10328064 10359552 10391136 10543232 10612224 11139987 11377008 11411694 11578728 11592832 11614029 11839488 11861136 11875584 12049408 12086144 12343296 12957148 13041936 13232832 13273176 13313643 13508516 13555584 13572096 13596912 13812736 13854848 14149632 14853316 15169344 15215592 15438304 15485372 15492096 15539328 15586704 15814848 15834112 17368092 17389248 17643776 17697568 17751524 17759232 17813376 18074112 18129216 18514944 19435722 19849248 19909764 20225792 20262774 20287456 20358144 20719104 20782272 21086464 21224448 22279974 22675009 22754016 22823388 23157456 23185664 23228058 23722272 23751168 24098816 24172288 25914296 25993303 26083872 26465664 26546352 26627286 27017032 27111168 27193824 27625472 27709696 29153583 29706632 30338688 30394161 30431184 30876608 30970744 30984192 31078656 31173408 31629696 31668224 33419961 34736184 34778496 34842087 35287552 35395136 35503048 35518464 35626752 36148224 36258432 37029888 38871444 39698496 39819528 39940929 40451584 40525548 40574912 40716288 41438208 41564544 42172928 42448896 44559948 45350018 45508032 45646776 46314912 46371328 46456116 47444544 47502336 48344576 51828592 51986606 52167744 52931328 53092704 53254572 54034064 54222336 54387648 55419392 58307166 59413264 60677376 60788322 60862368 61753216 61941488 62157312 62346816 63259392 66839922 68025027 69472368 69556992 69684174 70575104 70790272 71006096 71253504 72296448 72516864 77742888 77979909 79396992 79639056 79881858 80903168 81051096 81149824 82876416 83129088 84345856 89119896 90700036 91016064 91293552 92629824 92742656 92912232 94889088 95004672 96689152 103657184 103973212 104335488 105862656 106185408 106509144 108068128 108444672 108775296 110838784 116614332 118826528 121354752 121576644 121724736 123506432 123882976 124314624 124693632 126518784 133679844 136050054 138944736 139113984 139368348 141150208 141580544 142012192 142507008 145033728 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580134912 608985956 621943104 623839272 634900252 635175936 637112448 639054864 648408768 649198592 665032704 712959168 725600288 727812484 728128512 730348416 741038592 743297856 759112704 816300324 829257472 831785696 834683904 849483264 852073152 864545024 870202368 913478934 932914656 935758908 950612224 952350378 972613152 973797888 988051456 991063808 997549056 1065725423 1069438752 1088400432 1091718726 1111557888 1114946784 1132644352 1136097536 1217971912 1243886208 1247678544 1269800504 1270351872 1274224896 1278109728 1296817536 1298397184 1370218401 1425918336 1428525567 1451200576 1455624968 1456257024 1460696832 1482077184 1486595712 1518225408 1632600648 1637578089 1658514944 1663571392 1669367808 1698966528 1704146304 1729090048 1740404736 1826957868 1865829312 1871517816 1901224448 1904700756 1945226304 1947595776 1982127616 1995098112 2131450846 2138877504 2176800864 2183437452 2223115776 2229893568 2272195072 2435943824 2487772416 2495357088 2539601008 2548449792 2556219456 2593635072 2740436802 2851836672 2857051134 2902401152 2911249936 2921393664 2964154368 2973191424 3197176269 3265201296 3275156178 3317029888 3327142784 3397933056 3408292608 3458180096 3653915736 3731658624 3743035632 3802448896 3809401512 3890452608 3895191552 3964255232 4262901692 4277755008 4353601728 4366874904 4446231552 4459787136 4544390144 4871887648 4975544832 4990714176 5079202016 5096899584 5112438912 5187270144 5480873604 5703673344 5714102268 5804802304 5822499872 5842787328 5946382848 6394352538 6530402592 6550312356 6634059776 6654285568 6816585216 6916360192 7307831472 7460077961 7463317248 7486071264 7604897792 7618803024 7780905216 7928510464 8525803384 8555510016 8707203456 8733749808 8892463104 8919574272 9088780288 9591528807 9743775296 9951089664 9981428352 10158404032 10193799168 10224877824 10374540288 10961747208 11407346688 11428204536 11609604608 11644999744 11685574656 11892765696 12788705076 13060805184 13100624712 13308571136 13633170432 14615662944 14920155922 14926634496 14972142528 15237606048 15561810432 17051606768 17111020032 17414406912 17467499616 17839148544 19183057614 19487550592 19902179328 19962856704 20316808064 20449755648 20749080576 21923494416 22380233883 22814693376 22856409072 23219209216 23289999488 23785531392 25577410152 26121610368 26201249424 26617142272 27266340864 29231325888 29840311844 29853268992 29944285056 30475212096 31123620864 34103213536 34222040064 34828813824 34934999232 35678297088 38366115228 38975101184 39925713408 40633616128 40899511296 43846988832 44760467766 45712818144 46438418432 46579998976 51154820304 52243220736 52402498848 53234284544 58462651776 59680623688 59706537984 59888570112 60950424192 62247241728 67140701649 68206427072 68444080128 69657627648 69869998464 71356594176 76732230456 77950202368 79851426816 81267232256 81799022592 87693977664 89520935532 91425636288 93159997952 102309640608 104486441472 104804997696 116925303552 119361247376 119777140224 121900848384 134281403298 136412854144 139315255296 139739996928 153464460912 155900404736 159702853632 162534464512 175387955328 179041871064 182851272576 186319995904 204619281216 208972882944 209609995392 233850607104 238722494752 239554280448 243801696768 268562806596 272825708288 279479993856 306928921824 311800809472 325068929024 350775910656 358083742128 365702545152 372639991808 409238562432 417945765888 419219990784 467701214208 477444989504 479108560896 487603393536 537125613192 545651416576 558959987712 613857843648 701551821312 716167484256 731405090304 818477124864 838439981568 935402428416 954889979008 975206787072 1074251226384 1091302833152 1117919975424 1227715687296 1403103642624 1432334968512 1462810180608 1636954249728 1676879963136 1909779958016 2148502452768 2182605666304 2455431374592 2806207285248 2864669937024 2925620361216 3273908499456 3353759926272 3819559916032 4297004905536 4910862749184 5729339874048 6547816998912 7639119832064 8594009811072 9821725498368 11458679748096 15278239664128 17188019622144 19643450996736 22917359496192 34376039244288 45834718992384 68752078488576 137504156977152
- Sum of all divisors σ(n): 483814583457660
- Sum of proper divisors (its aliquot sum) s(n): 346310426480508
- 137504156977152 is an abundant number, because the sum of its proper divisors (346310426480508) is greater than itself. Its abundance is 208806269503356
Bases of 137504156977152
- Binary: 111110100001111001011100110111010001000000000002
- Hexadecimal: 0x7D0F2E6E8800
- Base-36: 1CQOJCT8G0
Squares and roots of 137504156977152
- 137504156977152 squared (1375041569771522) is 18907393185997259042250031104
- 137504156977152 cubed (1375041569771523) is 2599845160676101189401552535581970617335808
-
The
square root of 137504156977152 is 11726216.6523202187 -
The
cube root of 137504156977152 is 51614.5259087711
Scales and comparisons
How big is 137504156977152?- 137,504,156,977,152 seconds is equal to 4,372,206 years, 44 weeks, 6 days, 8 hours, 19 minutes, 12 seconds.
-
To count from 1 to 137,504,156,977,152 would take you about ten million, nine hundred thirty 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 137504156977152 cubic inches would be around 4301.2 feet tall.
Recreational maths with 137504156977152
- 137504156977152 backwards is 251779651405731
- 137504156977152 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137504156977152's digits is 63
- More coming soon!
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"Number 137504156977152 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 137504156977152 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/137504156977152/
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The information we have on file for 137504156977152 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 137504156977152, math, Factors of 137504156977152, curriculum, school, college, exams, university, Prime factorization of 137504156977152, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, five hundred four billion, one hundred fifty-six million, nine hundred seventy-seven thousand, one hundred fifty-two.