137437644049854449664
137,437,644,049,854,449,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 137437644049854449664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
137437644049854449664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 137437644049854449664:
211 × 3 × 11 × 296 × 434
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 29 × 29 × 29 × 29 × 29 × 29 × 43 × 43 × 43 × 43)See below for interesting mathematical facts about the number 137437644049854449664 from the Numbermatics database.
Names of 137437644049854449664
- Cardinal: 137437644049854449664 can be written as One hundred thirty-seven quintillion, four hundred thirty-seven quadrillion, six hundred forty-four trillion, forty-nine billion, eight hundred fifty-four million, four hundred forty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.37437644049854449664 × 1020
Factors of 137437644049854449664
Divisors of 137437644049854449664
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 29 32 33 43 44 48 58 64 66 86 87 88 96 116 128 129 132 172 174 176 192 232 256 258 264 319 344 348 352 384 464 473 512 516 528 638 688 696 704 768 841 928 946 957 1024 1032 1056 1247 1276 1376 1392 1408 1419 1536 1682 1849 1856 1892 1914 2048 2064 2112 2494 2523 2552 2752 2784 2816 2838 3072 3364 3698 3712 3741 3784 3828 4128 4224 4988 5046 5104 5504 5547 5568 5632 5676 6144 6728 7396 7424 7482 7568 7656 8256 8448 9251 9976 10092 10208 11008 11094 11136 11264 11352 13456 13717 14792 14848 14964 15136 15312 16512 16896 18502 19952 20184 20339 20416 22016 22188 22272 22528 22704 24389 26912 27434 27753 29584 29696 29928 30272 30624 33024 33792 36163 37004 39904 40368 40678 40832 41151 44032 44376 44544 45408 48778 53621 53824 54868 55506 59168 59392 59856 60544 61017 61248 66048 67584 72326 73167 74008 79507 79808 80736 81356 81664 82302 88064 88752 89088 90816 97556 107242 107648 108489 109736 111012 118336 119712 121088 122034 122496 132096 144652 146334 148016 159014 159616 160863 161472 162712 163328 164604 177504 178176 181632 195112 214484 215296 216978 219472 222024 236672 238521 239424 242176 244068 244992 264192 268279 289304 292668 296032 318028 319232 321726 322944 325424 326656 329208 355008 363264 390224 397793 428968 430592 433956 438944 444048 473344 477042 478848 484352 488136 489984 536558 578608 585336 589831 592064 636056 638464 643452 645888 650848 653312 658416 707281 710016 726528 780448 795586 804837 857936 861184 867912 874577 877888 888096 946688 954084 957696 968704 976272 979968 1048727 1073116 1157216 1170672 1179662 1184128 1193379 1272112 1276928 1286904 1291776 1301696 1316832 1414562 1420032 1453056 1555009 1560896 1591172 1609674 1715872 1722368 1735824 1749154 1755776 1769493 1776192 1893376 1908168 1915392 1952544 1959936 2097454 2121843 2146232 2305703 2314432 2341344 2359324 2368256 2386758 2544224 2553856 2573808 2583552 2603392 2623731 2633664 2829124 2840064 2906112 3110018 3121792 3146181 3182344 3219348 3418801 3431744 3471648 3498308 3511552 3538986 3552384 3786752 3816336 3830784 3905088 4194908 4243686 4292464 4611406 4628864 4665027 4682688 4718648 4736512 4773516 5088448 5147616 5167104 5206784 5247462 5267328 5658248 5680128 6220036 6243584 6292362 6364688 6438696 6837602 6863488 6917109 6943296 6996616 7023104 7077972 7104768 7632672 7661568 7780091 7810176 8389816 8487372 8584928 9222812 9257728 9330054 9365376 9437296 9473024 9547032 10176896 10256403 10295232 10413568 10494924 10534656 11316496 11360256 11535997 12440072 12487168 12584724 12729376 12877392 13675204 13726976 13834218 13886592 13993232 14046208 14155944 14209536 15265344 15560182 15620352 16779632 16974744 17105099 17169856 18445624 18515456 18660108 18730752 18874592 18946048 19094064 20353792 20511149 20512806 20590464 20827136 20989848 21069312 22632992 23071994 23340273 24880144 24974336 25169448 25362733 25458752 25754784 27350408 27453952 27668436 27773184 27986464 28092416 28311888 28419072 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48805981551794904 49366969845493696 49941004378580832 53854876195084032 54473897760544768 55107315176365056 65074642069059872 66588005838107776 67108224633717993 71806501593445376 72641460914299392 74050454768240544 74330797214631936 81710846640817152 89477632844957324 96855281219065856 97611963103589808 98733939690987392 99882008757161664 107709752390168064 110214630352730112 130149284138119744 133176011676215552 134216449267435986 143613003186890752 145282921828598784 148100909536481088 163421693281634304 178955265689914648 195223926207179616 197467879381974784 199764017514323328 215419504780336128 260298568276239488 266352023352431104 268432898534871972 290565843657197568 296201819072962176 357910531379829296 390447852414359232 394935758763949568 399528035028646656 430839009560672256 520597136552478976 532704046704862208 536865797069743944 592403638145924352 715821062759658592 780895704828718464 789871517527899136 799056070057293312 1041194273104957952 1065408093409724416 1073731594139487888 1184807276291848704 1431642125519317184 1561791409657436928 1579743035055798272 1598112140114586624 2082388546209915904 2147463188278975776 2369614552583697408 2863284251038634368 3123582819314873856 3196224280229173248 4164777092419831808 4294926376557951552 4739229105167394816 5726568502077268736 6247165638629747712 8589852753115903104 11453137004154537472 12494331277259495424 17179705506231806208 22906274008309074944 34359411012463612416 45812548016618149888 68718822024927224832 137437644049854449664
- Sum of all divisors σ(n): 423853800808028114160
- Sum of proper divisors (its aliquot sum) s(n): 286416156758173664496
- 137437644049854449664 is an abundant number, because the sum of its proper divisors (286416156758173664496) is greater than itself. Its abundance is 148978512708319214832
Bases of 137437644049854449664
- Binary: 11101110011010101001001100100010110011001100010011101001000000000002
- Hexadecimal: 0x77354991666274800
- Base-36: T06Q2QMNR9EDC
Squares and roots of 137437644049854449664
- 137437644049854449664 squared (1374376440498544496642) is 18889106001974492211958969383300309712896
- 137437644049854449664 cubed (1374376440498544496643) is 2596074227119339542081386983301995969363805069801183923666944
-
The
square root of 137437644049854449664 is 11723380231.3946317581 -
The
cube root of 137437644049854449664 is 5160620.2313395431
Scales and comparisons
How big is 137437644049854449664?- 137,437,644,049,854,449,664 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,437,644,049,854,449,664 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137437644049854449664 cubic inches would be around 430051.7 feet tall.
Recreational maths with 137437644049854449664
- 137437644049854449664 backwards is 466944458940446734731
- The number of decimal digits it has is: 21
- The sum of 137437644049854449664's digits is 102
- More coming soon!
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The information we have on file for 137437644049854449664 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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