137144270435328
137,144,270,435,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137144270435328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
137144270435328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 137144270435328:
210 × 32 × 13 × 29 × 61 × 79 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 29 × 61 × 79 × 8191)See below for interesting mathematical facts about the number 137144270435328 from the Numbermatics database.
Names of 137144270435328
- Cardinal: 137144270435328 can be written as One hundred thirty-seven trillion, one hundred forty-four billion, two hundred seventy million, four hundred thirty-five thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37144270435328 × 1014
Factors of 137144270435328
Divisors of 137144270435328
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 61 64 72 78 79 87 96 104 116 117 122 128 144 156 158 174 183 192 208 232 234 237 244 256 261 288 312 316 348 366 377 384 416 464 468 474 488 512 522 549 576 624 632 696 711 732 754 768 793 832 928 936 948 976 1024 1027 1044 1098 1131 1152 1248 1264 1392 1422 1464 1508 1536 1586 1664 1769 1856 1872 1896 1952 2054 2088 2196 2262 2291 2304 2379 2496 2528 2784 2844 2928 3016 3072 3081 3172 3328 3393 3538 3712 3744 3792 3904 4108 4176 4392 4524 4582 4608 4758 4819 4992 5056 5307 5568 5688 5856 6032 6162 6344 6656 6786 6873 7076 7137 7424 7488 7584 7808 8191 8216 8352 8784 9048 9164 9216 9243 9516 9638 9984 10112 10614 11136 11376 11712 12064 12324 12688 13312 13572 13746 14152 14274 14457 14848 14976 15168 15616 15921 16382 16432 16704 17568 18096 18328 18486 19032 19276 19968 20224 20619 21228 22272 22752 22997 23424 24128 24573 24648 25376 27144 27492 28304 28548 28914 29696 29783 29952 30336 31232 31842 32764 32864 33408 35136 36192 36656 36972 38064 38552 39936 40448 41238 42456 43371 44544 45504 45994 46848 48256 49146 49296 50752 54288 54984 56608 57096 57828 59566 59904 60672 62464 62647 63684 65528 65728 66816 68991 70272 72384 73312 73719 73944 76128 77104 80896 82476 84912 86742 89088 89349 91008 91988 93696 96512 98292 98592 101504 106483 108576 109968 113216 114192 115656 119132 119808 121344 125294 127368 131056 131456 133632 137982 139751 140544 144768 146624 147438 147888 152256 154208 164952 169824 173484 178698 182016 183976 187392 187941 193024 196584 197184 203008 206973 212966 217152 219936 226432 228384 231312 237539 238264 242688 250588 254736 262112 262912 267264 268047 275964 279502 281088 289536 293248 294876 295776 304512 308416 319449 329904 339648 346968 357396 364032 367952 375882 386048 393168 394368 406016 413946 419253 425932 434304 439872 452864 456768 462624 475078 476528 499651 501176 509472 524224 525824 536094 551928 559004 562176 563823 579072 586496 589752 591552 609024 616832 638898 647089 659808 679296 693936 712617 714792 728064 735904 751764 786336 788736 812032 827892 838506 851864 868608 879744 905728 913536 925248 950156 953056 958347 999302 1002352 1018944 1048448 1051648 1072188 1103856 1118008 1127646 1158144 1172992 1179504 1183104 1218048 1233664 1257759 1277796 1294178 1319616 1358592 1387872 1425234 1429584 1471808 1498953 1503528 1572672 1577472 1655784 1677012 1703728 1737216 1759488 1811456 1816763 1827072 1850496 1900312 1906112 1916694 1941267 1998604 2004704 2037888 2096896 2137851 2144376 2207712 2236016 2255292 2345984 2359008 2366208 2436096 2467328 2515518 2555592 2588356 2639232 2717184 2775744 2850468 2859168 2943616 2997906 3007056 3088007 3145344 3154944 3311568 3354024 3407456 3474432 3518976 3633526 3654144 3700992 3800624 3812224 3833388 3882534 3997208 4009408 4075776 4193792 4275702 4288752 4415424 4472032 4496859 4510584 4718016 4732416 4934656 5031036 5111184 5176712 5278464 5434368 5450289 5551488 5700936 5718336 5823801 5887232 5995812 6014112 6176014 6290688 6495463 6623136 6708048 6814912 7037952 7267052 7308288 7401984 7601248 7624448 7666776 7765068 7994416 8018816 8151552 8387584 8412157 8551404 8577504 8830848 8944064 8993718 9021168 9264021 9436032 9464832 10062072 10222368 10353424 10556928 10900578 11102976 11401872 11436672 11647602 11774464 11991624 12028224 12352028 12581376 12990926 13246272 13416096 13629824 14489879 14534104 14803968 15202496 15248896 15333552 15530136 15988832 16037632 16303104 16350867 16824314 17102808 17155008 17661696 17888128 17987436 18042336 18528042 18765581 18872064 19486389 20124144 20444736 20706848 21113856 21801156 22205952 22803744 22873344 23295204 23548928 23983248 24056448 24704056 25162752 25236471 25981852 26492544 26832192 27259648 27792063 28979758 29068208 30404992 30497792 30667104 31060272 31977664 32075264 32701734 33648628 34205616 34310016 35323392 35776256 35974872 36084672 37056084 37531162 37744128 38972778 39472429 40248288 40889472 41413696 43469637 43602312 44411904 45607488 45746688 46590408 47966496 48112896 49408112 50472942 51963704 52985088 53664384 54519296 55584126 56296743 57959516 58136416 58459167 60809984 61334208 62120544 63955328 64150528 65403468 67297256 68411232 68620032 70646784 71552512 71949744 72169344 74112168 75062324 75488256 75709413 77945556 78944858 80496576 81778944 82827392 86939274 87204624 91214976 91493376 93180816 95932992 96225792 98816224 100945884 103927408 105970176 107328768 109038592 111168252 112593486 115919032 116272832 116918334 118417287 121619968 122668416 124241088 127910656 130408911 130806936 134594512 136822464 137240064 143105024 143899488 144338688 148224336 150124648 151418826 155891112 157889716 160993152 163557888 165654784 168890229 173878548 174409248 182429952 186361632 188368427 191865984 192451584 197632448 201891768 207854816 211940352 214657536 222336504 225186972 231838064 232545664 233836668 236834574 243239936 243952553 245336832 248482176 255821312 260817822 261613872 269189024 273644928 274480128 287798976 288677376 296448672 300249296 302837652 311782224 315779432 321986304 327115776 331309568 337780458 347757096 348818496 355251861 364859904 372723264 376736854 383731968 395264896 403783536 415709632 429315072 444673008 450373944 463676128 465091328 467673336 473669148 487905106 490673664 496964352 511642624 513141577 521635644 523227744 538378048 547289856 565105281 575597952 577354752 592897344 600498592 605675304 623564448 631558864 643972608 662619136 675560916 695514192 697636992 710503722 729719808 731857659 745446528 753473708 767463936 790529792 807567072 831419264 889346016 900747888 927352256 930182656 935346672 947338296 975810212 981347328 993928704 1026283154 1043271288 1046455488 1076756096 1094579712 1130210562 1144700441 1151195904 1185794688 1200997184 1211350608 1247128896 1263117728 1287945216 1351121832 1391028384 1395273984 1421007444 1463715318 1490893056 1506947416 1534927872 1539424731 1581059584 1615134144 1662838528 1695315843 1778692032 1801495776 1854704512 1860365312 1870693344 1894676592 1951620424 1987857408 2052566308 2086542576 2092910976 2153512192 2189159424 2195572977 2260421124 2289400882 2302391808 2371589376 2401994368 2422701216 2494257792 2526235456 2702243664 2782056768 2790547968 2842014888 2927430636 2981786112 3013894832 3078849462 3162119168 3230268288 3325677056 3390631686 3434101323 3557384064 3602991552 3709409024 3741386688 3789353184 3903240848 4105132616 4173085152 4185821952 4307024384 4391145954 4520842248 4578801764 4604783616 4618274193 4743178752 4803988736 4845402432 4988515584 5052470912 5404487328 5564113536 5581095936 5684029776 5854861272 5963572224 6027789664 6157698924 6460536576 6651354112 6781263372 6868202646 7114768128 7205983104 7418818048 7482773376 7578706368 7806481696 8210265232 8346170304 8371643904 8614048768 8782291908 9041684496 9157603528 9236548386 9486357504 9607977472 9690804864 9977031168 10104941824 10302303969 10808974656 11128227072 11368059552 11709722544 12055579328 12315397848 12921073152 13562526744 13736405292 14229536256 14411966208 14837636096 14881105733 14965546752 15157412736 15612963392 16420530464 16692340608 16743287808 17564583816 18083368992 18315207056 18473096772 19215954944 19381609728 19954062336 20209883648 20604607938 21617949312 22256454144 22736119104 23419445088 24111158656 24630795696 25842146304 27125053488 27472810584 28459072512 28823932416 29762211466 29931093504 30314825472 31225926784 32841060928 33384681216 35129167632 36166737984 36630414112 36946193544 38763219456 40419767296 41209215876 43235898624 44512908288 44643317199 45472238208 46838890176 48222317312 49261591392 54250106976 54945621168 57647864832 59524422932 59862187008 60629650944 62451853568 65682121856 66769362432 70258335264 72333475968 73260828224 73892387088 77526438912 82418431752 86471797248 89286634398 90944476416 93677780352 96444634624 98523182784 108500213952 109891242336 119048845864 121259301888 124903707136 131364243712 133538724864 133929951597 140516670528 144666951936 146521656448 147784774176 164836863504 172943594496 178573268796 181888952832 187355560704 192889269248 197046365568 217000427904 219782484672 238097691728 249807414272 262728487424 267859903194 281033341056 289333903872 293043312896 295569548352 329673727008 357146537592 363777905664 374711121408 394092731136 434000855808 439564969344 476195383456 525456974848 535719806388 562066682112 578667807744 586086625792 591139096704 659347454016 714293075184 749422242816 788185462272 868001711616 879129938688 952390766912 1071439612776 1124133364224 1172173251584 1182278193408 1318694908032 1428586150368 1576370924544 1736003423232 1758259877376 1904781533824 2142879225552 2248266728448 2364556386816 2637389816064 2857172300736 3516519754752 3809563067648 4285758451104 4729112773632 5274779632128 5714344601472 7619126135296 8571516902208 10549559264256 11428689202944 15238252270592 17143033804416 22857378405888 34286067608832 45714756811776 68572135217664 137144270435328
- Sum of all divisors σ(n): 454132000358400
- Sum of proper divisors (its aliquot sum) s(n): 316987729923072
- 137144270435328 is an abundant number, because the sum of its proper divisors (316987729923072) is greater than itself. Its abundance is 179843459487744
Bases of 137144270435328
- Binary: 111110010111011011000111000010110110100000000002
- Hexadecimal: 0x7CBB6385B400
- Base-36: 1CM37HNNK0
Squares and roots of 137144270435328
- 137144270435328 squared (1371442704353282) is 18808550913238381730630467584
- 137144270435328 cubed (1371442704353283) is 2579484992941800050386890358598243872407552
-
The
square root of 137144270435328 is 11710861.2166368021 -
The
cube root of 137144270435328 is 51569.4567198669
Scales and comparisons
How big is 137144270435328?- 137,144,270,435,328 seconds is equal to 4,360,763 years, 30 weeks, 2 days, 20 hours, 28 minutes, 48 seconds.
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To count from 1 to 137,144,270,435,328 would take you about ten million, nine hundred one thousand, nine hundred eight 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 137144270435328 cubic inches would be around 4297.5 feet tall.
Recreational maths with 137144270435328
- 137144270435328 backwards is 823534072441731
- The number of decimal digits it has is: 15
- The sum of 137144270435328's digits is 54
- More coming soon!
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The information we have on file for 137144270435328 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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