131398974892089135
131,398,974,892,089,135 is an odd composite number composed of six prime numbers multiplied together.
What does the number 131398974892089135 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
131398974892089135 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 131398974892089135:
33 × 5 × 73 × 112 × 1072 × 1273
(3 × 3 × 3 × 5 × 7 × 7 × 7 × 11 × 11 × 107 × 107 × 127 × 127 × 127)See below for interesting mathematical facts about the number 131398974892089135 from the Numbermatics database.
Names of 131398974892089135
- Cardinal: 131398974892089135 can be written as One hundred thirty-one quadrillion, three hundred ninety-eight trillion, nine hundred seventy-four billion, eight hundred ninety-two million, eighty-nine thousand, one hundred thirty-five.
Scientific notation
- Scientific notation: 1.31398974892089135 × 1017
Factors of 131398974892089135
Divisors of 131398974892089135
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 107 121 127 135 147 165 189 231 245 297 315 321 343 363 381 385 441 495 535 539 605 635 693 735 749 847 889 945 963 1029 1089 1143 1155 1177 1323 1397 1485 1605 1617 1715 1815 1905 2079 2205 2247 2541 2667 2695 2889 3087 3267 3429 3465 3531 3745 3773 4191 4235 4445 4815 4851 5145 5243 5445 5715 5885 5929 6223 6615 6741 6985 7623 8001 8085 8239 9261 9779 10395 10593 11235 11319 11449 12573 12705 12947 13335 13589 14445 14553 15367 15435 15729 16129 16335 17145 17655 17787 18669 18865 20223 20955 22869 24003 24255 24717 26215 29337 29645 31115 31779 33705 33957 34347 36701 37719 38115 38841 40005 40767 41195 41503 43561 46101 46305 47187 48387 48895 52965 53361 56007 56595 57245 57673 62865 64735 67945 68453 72765 74151 76835 78645 80143 80645 88011 88935 90629 93345 95123 101115 101871 103041 107569 110103 112903 114345 116523 120015 122301 123585 124509 125939 130683 138303 141561 145161 146685 149479 158895 160083 168021 169785 171735 173019 177419 183505 188595 194205 203835 205359 207515 217805 222453 230505 235935 240429 241935 264033 266805 271887 280035 285369 288365 309123 322707 330309 338709 342265 349569 366903 370755 373527 377817 392049 400715 403711 414909 435483 440055 448437 453145 475615 479171 509355 515205 519057 532257 537845 550515 561001 564515 582615 611505 616077 622545 629695 634403 653415 665861 691515 707805 721287 725805 747395 752983 790321 800415 815661 840105 856107 865095 881573 887095 968121 990927 1016127 1026795 1046353 1112265 1120581 1133451 1176147 1202145 1211133 1241933 1320165 1345311 1359435 1385329 1426845 1437513 1454023 1545615 1557171 1596771 1613535 1644269 1651545 1683003 1693545 1725803 1747845 1834515 1848231 1867635 1889085 1903209 1951609 1960245 1997583 2018555 2048383 2074545 2163861 2177415 2242185 2258949 2370963 2395855 2446983 2568321 2595285 2644719 2661285 2805005 2904363 3048381 3080385 3139059 3172015 3329305 3400353 3606435 3633399 3725799 3764915 3927007 3951605 4035933 4078305 4155987 4280535 4312539 4362069 4407865 4440821 4661027 4790313 4840605 4932807 4954635 5049009 5080635 5177409 5231765 5270881 5532247 5602905 5667255 5709627 5854827 5880735 5992749 6055665 6145149 6171011 6209665 6726555 6776847 6926645 7112889 7187565 7270115 7324471 7785855 7934157 7983855 8221345 8415015 8629015 8693531 9241155 9417177 9516045 9697303 9758045 9987915 10178161 10241915 10819305 10900197 11177397 11294745 11509883 11781021 11854815 12080621 12234915 12467961 12841605 12937617 13086207 13223595 13322463 13661263 13983081 14338681 14521815 14798421 15147027 15241905 15532227 15695295 15812643 15994253 16596741 17001765 17128881 17564481 17978247 18166995 18435447 18513033 18628995 18983833 19635035 20179665 20330541 20779935 21338667 21562695 21810345 21973413 22204105 22532213 23305135 23802471 23951565 24664035 25245045 25887045 26080593 26354405 27661235 28251531 28548135 29091909 29274135 29963745 30534483 30725745 30855055 33532191 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9853691405481 10148990105205 10342304202447 10450884823995 11476895352615 11608708798665 11695502883141 12404321239695 12640594025213 13436851916565 14188421865035 15948413022465 16252192318131 16422819009135 17237173670745 18811592683191 19492504805235 19863790611049 21115053011745 22162080433815 22327778231451 22991946612789 24132043139043 25061791892445 25539159357063 27086987196885 27289506727329 29561074216443 31026912607341 31352654471985 34826126395995 35086508649423 37212963719085 37921782075639 38319911021315 40220071898405 42565265595105 45482511212215 48756576954393 49268457027405 51711521012235 58477514415705 59591371833147 63202970126065 68975839838367 72396129417129 76617478071189 81260961590655 81868520181987 88484158176491 94057963415955 99318953055245 111638891157255 113765346226917 114959733063945 120660215695215 127695796785315 136447533636645 139046534277343 147805371082215 155134563036705 175432543247115 178774115499441 189608910378195 206927519515101 217188388251387 243782884771965 245605560545961 265452474529473 297956859165735 341296038680751 344879199191835 361980647085645 383087390355945 409342600909935 417139602832029 442420790882455 536322346498323 568826731134585 695232671386715 796357423588419 893870577497205 973325739941401 1034637597575505 1085941941256935 1228027802729805 1251418808496087 1327262372647365 1706480193403755 2085698014160145 2389072270765257 2681611732491615 2919977219824203 3754256425488261 3981787117942095 4866628699707005 6257094042480435 8759931659472609 11945361353826285 14599886099121015 18771282127441305 26279794978417827 43799658297363045 131398974892089135
- Sum of all divisors σ(n): 304657815920640000
- Sum of proper divisors (its aliquot sum) s(n): 173258841028550865
- 131398974892089135 is an abundant number, because the sum of its proper divisors (173258841028550865) is greater than itself. Its abundance is 41859866136461730
Bases of 131398974892089135
- Binary: 1110100101101001010101011111001100100101100011111001011112
- Hexadecimal: 0x1D2D2ABE64B1F2F
- Base-36: ZXT1RQDR6LR
Squares and roots of 131398974892089135
- 131398974892089135 squared (1313989748920891352) is 17265690602691870906918004785048225
- 131398974892089135 cubed (1313989748920891353) is 2268694045997688470242495119766575710140681973535375
-
The
square root of 131398974892089135 is 362489965.2295069189 -
The
cube root of 131398974892089135 is 508390.3819439479
Scales and comparisons
How big is 131398974892089135?- 131,398,974,892,089,135 seconds is equal to 4,178,080,957 years, 44 weeks, 2 days, 10 hours, 32 minutes, 15 seconds.
-
To count from 1 to 131,398,974,892,089,135 would take you about twelve billion, five hundred thirty-four million, two hundred forty-two thousand, eight hundred seventy-three 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 131398974892089135 cubic inches would be around 42365.9 feet tall.
Recreational maths with 131398974892089135
- 131398974892089135 backwards is 531980298479893131
- The number of decimal digits it has is: 18
- The sum of 131398974892089135's digits is 90
- More coming soon!
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"Number 131398974892089135 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 131398974892089135 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/131398974892089135/
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The information we have on file for 131398974892089135 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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