131920765116309
131,920,765,116,309 is an odd composite number composed of six prime numbers multiplied together.
131920765116309 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 131920765116309:
310 × 13 × 31 × 67 × 97 × 853
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 31 × 67 × 97 × 853)See below for interesting mathematical facts about the number 131920765116309 from the Numbermatics database.
Names of 131920765116309
- Cardinal: 131920765116309 can be written as One hundred thirty-one trillion, nine hundred twenty billion, seven hundred sixty-five million, one hundred sixteen thousand, three hundred nine.
Scientific notation
- Scientific notation: 1.31920765116309 × 1014
Factors of 131920765116309
Divisors of 131920765116309
- Number of divisors d(n): 352
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Complete list of divisors:
1 3 9 13 27 31 39 67 81 93 97 117 201 243 279 291 351 403 603 729 837 853 871 873 1053 1209 1261 1809 2077 2187 2511 2559 2613 2619 3007 3159 3627 3783 5427 6231 6499 6561 7533 7677 7839 7857 9021 9477 10881 11089 11349 16281 18693 19497 19683 22599 23031 23517 23571 26443 27001 27063 28431 32643 33267 34047 39091 48843 56079 57151 58491 59049 67797 69093 70551 70713 79329 81003 81189 82741 84487 85293 97929 99801 102141 117273 146529 168237 171453 175473 201469 203391 207279 211653 212139 237987 243009 243567 248223 253461 255879 293787 299403 306423 343759 351819 439587 504711 514359 526419 604407 610173 621837 634959 636417 713961 729027 730701 742963 744669 760383 767637 881361 898209 919269 1031277 1055457 1075633 1318761 1514133 1543077 1579257 1771681 1813221 1830519 1865511 1904877 1909251 2141883 2187081 2192103 2228889 2234007 2281149 2564971 2619097 2644083 2694627 2757807 3093831 3166371 3226899 3956283 4542399 4629231 4737771 5315043 5439663 5543647 5596533 5714631 5727753 6425649 6561243 6576309 6686667 6702021 6843447 7694913 7857291 7932249 8083881 8273421 9281493 9499113 9680697 13627197 13887693 14213313 15945129 16318989 16630941 16789599 17143893 19276947 19683729 19728927 20060001 20106063 20530341 23031853 23084739 23571873 23796747 24251643 24820263 27844479 28497339 29042091 33344623 40881591 41663079 42639939 47835387 48956967 49892823 50368797 51431679 57830841 59051187 59186781 60180003 60318189 61591023 69095559 69254217 70715619 72067411 72754929 74460789 83533437 85492017 87126273 100033869 122644773 124989237 127919817 143506161 146870901 149678469 171853057 173492523 177153561 177560343 180540009 180954567 184773069 207286677 207762651 212146857 216202233 218264787 250600311 256476051 261378819 300101607 374967711 383759451 430518483 440612703 449035407 515559171 520477569 531460683 541620027 542863701 554319207 621860031 623287953 636440571 648606699 654794361 751800933 769428153 784136457 900304821 1124903133 1291555449 1321838109 1347106221 1546677513 1561432707 1594382049 1624860081 1628591103 1662957621 1865580093 1869863859 1909321713 1945820097 2234089741 2255402799 2308284459 2352409371 2700914463 3374709399 3874666347 3965514327 4041318663 4640032539 4874580243 4885773309 4988872863 5596740279 5609591577 5727965139 5837460291 6702269223 6766208397 7057228113 8102743389 11623999041 11896542981 12123955989 13920097617 14623740729 16790220837 16828774731 17183895417 17512380873 20106807669 20298625191 21171684339 24308230167 34871997123 36371867967 41760292851 43871222187 50370662511 50486324193 51551686251 52537142619 60320423007 63515053017 72924690501 104615991369 109115603901 125280878553 151111987533 151458972579 154655058753 157611427857 180961269021 218774071503 327346811703 375842635659 453335962599 472834283571 542883807063 656322214509 1127527906977 1360007887797 1418502850713 1628651421189 1968966643527 3382583720931 4255508552139 4885954263567 10147751162793 14657862790701 43973588372103 131920765116309
- Sum of all divisors σ(n): 225825108583424
- Sum of proper divisors (its aliquot sum) s(n): 93904343467115
- 131920765116309 is a deficient number, because the sum of its proper divisors (93904343467115) is less than itself. Its deficiency is 38016421649194
Bases of 131920765116309
- Binary: 111011111111011001100100101011111011111100101012
- Hexadecimal: 0x77FB3257DF95
- Base-36: 1ARFK9GGB9
Squares and roots of 131920765116309
- 131920765116309 squared (1319207651163092) is 17403088268872369526297783481
- 131920765116309 cubed (1319207651163093) is 2295828719816304468736167641852051863891629
-
The
square root of 131920765116309 is 11485676.5197488041 -
The
cube root of 131920765116309 is 50906.2438854885
Scales and comparisons
How big is 131920765116309?- 131,920,765,116,309 seconds is equal to 4,194,672 years, 14 weeks, 1 day, 8 hours, 45 minutes, 9 seconds.
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To count from 1 to 131,920,765,116,309 would take you about ten million, four hundred eighty-six thousand, six hundred eighty 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 131920765116309 cubic inches would be around 4242.2 feet tall.
Recreational maths with 131920765116309
- 131920765116309 backwards is 903611567029131
- The number of decimal digits it has is: 15
- The sum of 131920765116309's digits is 54
- More coming soon!
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