131970317506209
131,970,317,506,209 is an odd composite number composed of five prime numbers multiplied together.
131970317506209 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131970317506209:
37 × 73 × 13 × 233 × 2412
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 233 × 241 × 241)See below for interesting mathematical facts about the number 131970317506209 from the Numbermatics database.
Names of 131970317506209
- Cardinal: 131970317506209 can be written as One hundred thirty-one trillion, nine hundred seventy billion, three hundred seventeen million, five hundred six thousand, two hundred nine.
Scientific notation
- Scientific notation: 1.31970317506209 × 1014
Factors of 131970317506209
Divisors of 131970317506209
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 233 241 243 273 343 351 441 567 637 699 723 729 819 1029 1053 1323 1631 1687 1701 1911 2097 2169 2187 2457 3029 3087 3133 3159 3969 4459 4893 5061 5103 5733 6291 6507 7371 9087 9261 9399 9477 11417 11809 11907 13377 14679 15183 15309 17199 18873 19521 21203 21931 22113 27261 27783 28197 28431 34251 35427 35721 40131 44037 45549 51597 56153 56619 58081 58563 63609 65793 66339 79919 81783 82663 83349 84591 102753 106281 107163 120393 132111 136647 148421 153517 154791 168459 169857 174243 175689 190827 197379 199017 239757 245349 247989 250047 253773 308259 318843 361179 393071 396333 406567 409941 445263 460551 464373 505377 509571 522729 527067 572481 592137 719271 729989 736047 743967 750141 755053 761319 924777 956529 1038947 1074619 1083537 1179213 1188999 1219701 1229823 1335789 1381653 1393119 1516131 1568187 1717443 1776411 2157813 2189967 2208141 2231901 2265159 2283957 2751497 2774331 2845969 2869587 3116841 3223857 3250611 3537639 3566997 3659103 3689469 4007367 4144959 4548393 4704561 5109923 5152329 5285371 5329233 6473439 6569901 6624423 6695703 6795477 6851871 8254491 8322993 8537907 8608761 9350523 9671571 9751833 10612917 10977309 12022101 12434877 13532873 13645179 14113683 15329769 15456987 15856113 15987699 19260479 19420317 19709703 19921783 20087109 20386431 24763473 24968979 25613721 25826283 28051569 29014713 31838751 32931927 35769461 36066303 36997597 37304631 40598619 40935537 42341049 45989307 46370961 47568339 47963097 57781437 58260951 59129109 59765349 60261327 61159293 74290419 76841163 84154707 87044139 94730111 95516253 98795781 107308383 108198909 110992791 111913893 121795857 122806611 127023147 137967921 142705017 173344311 174782853 175927349 177387327 179296047 180783981 183477879 222871257 230523489 250386227 252464121 258983179 261132417 284190333 286548759 296387343 321925149 324596727 332978373 335741679 365387571 413903763 428115051 520032933 527782047 532161981 537888141 550433637 663110777 668613771 691570467 751158681 757392363 776949537 783397251 852570999 859646277 889162029 965775447 998935119 1096162713 1231491443 1241711289 1284345153 1560098799 1583346141 1596485943 1613664423 1651300911 1989332331 2005841313 2074711401 2253476043 2272177089 2330848611 2350191753 2557712997 2897326341 2996805357 3288488139 3694474329 3725133867 3853035459 4641775439 4680296397 4750038423 4840993269 5967996993 6017523939 6224134203 6760428129 6992545833 7673138991 8620440101 8691979023 8990416071 9865464417 11083422987 11175401601 11559106377 13925326317 14040889191 14250115269 14522979807 17903990979 20281284387 20977637499 23019416973 25861320303 26075937069 26971248213 29596393251 33250268961 41775978951 42122667573 42750345807 43568939421 53711972937 60343080707 60843853161 62932912497 69058250919 77583960909 78227811207 80913744639 99750806883 125327936853 128251037421 161135918811 181029242121 182531559483 188798737491 207174752757 232751882727 299252420649 375983810559 384753112263 483407756433 543087726363 547594678449 566396212473 698255648181 897757261947 1127951431677 1450223269299 1629263179089 2094766944543 2693271785841 3383854295031 4887789537267 6284300833629 10151562885093 14663368611801 18852902500887 43990105835403 131970317506209
- Sum of all divisors σ(n): 250678786176000
- Sum of proper divisors (its aliquot sum) s(n): 118708468669791
- 131970317506209 is a deficient number, because the sum of its proper divisors (118708468669791) is less than itself. Its deficiency is 13261848836418
Bases of 131970317506209
- Binary: 111100000000110101110111110010101010110101000012
- Hexadecimal: 0x7806BBE556A1
- Base-36: 1AS2BRO529
Squares and roots of 131970317506209
- 131970317506209 squared (1319703175062092) is 17416164702689613652753551681
- 131970317506209 cubed (1319703175062093) is 2298416785554378384345220775764175519887329
-
The
square root of 131970317506209 is 11487833.4557134401 -
The
cube root of 131970317506209 is 50912.6169288577
Scales and comparisons
How big is 131970317506209?- 131,970,317,506,209 seconds is equal to 4,196,247 years, 46 weeks, 9 hours, 30 minutes, 9 seconds.
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To count from 1 to 131,970,317,506,209 would take you about ten million, four hundred ninety thousand, six hundred nineteen 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 131970317506209 cubic inches would be around 4242.7 feet tall.
Recreational maths with 131970317506209
- 131970317506209 backwards is 902605713079131
- The number of decimal digits it has is: 15
- The sum of 131970317506209's digits is 54
- More coming soon!
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