131385581998125
131,385,581,998,125 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 131385581998125 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 960 divisors.
131385581998125 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 131385581998125:
3 × 54 × 72 × 13 × 37 × 73 × 139 × 293
(3 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 37 × 73 × 139 × 293)See below for interesting mathematical facts about the number 131385581998125 from the Numbermatics database.
Names of 131385581998125
- Cardinal: 131385581998125 can be written as One hundred thirty-one trillion, three hundred eighty-five billion, five hundred eighty-one million, nine hundred ninety-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.31385581998125 × 1014
Factors of 131385581998125
Divisors of 131385581998125
- Number of divisors d(n): 960
-
Complete list of divisors:
1 3 5 7 13 15 21 25 35 37 39 49 65 73 75 91 105 111 125 139 147 175 185 195 219 245 259 273 293 325 365 375 417 455 481 511 525 555 625 637 695 735 777 875 879 925 949 973 975 1095 1225 1295 1365 1443 1465 1533 1625 1807 1813 1825 1875 1911 2051 2085 2275 2405 2555 2625 2701 2775 2847 2919 3185 3367 3475 3577 3675 3809 3885 4375 4395 4625 4745 4865 4875 5143 5421 5439 5475 6125 6153 6475 6643 6811 6825 7215 7325 7665 8103 8125 9035 9065 9125 9555 10101 10147 10255 10425 10731 10841 11375 11427 12025 12649 12775 13125 13505 13875 14235 14357 14595 15429 15925 16835 17375 17885 18375 18907 19045 19425 19929 20433 21389 21975 23125 23569 23725 24325 24375 25715 26663 27105 27195 27375 30441 30625 30765 32375 32523 33215 34055 34125 35113 36001 36075 36625 37947 38325 40515 40727 43071 45175 45325 45625 46501 47775 50505 50735 51275 52125 53655 54205 56721 56875 57135 60125 63245 63875 64167 66859 67525 69375 70707 71029 71175 71785 72975 75887 77145 79625 79989 84175 86875 88543 89425 91875 94535 95225 97125 99645 102165 105339 106945 108003 109875 117845 118625 121625 122181 128575 131911 132349 133315 135525 135975 136875 139503 140933 149723 152205 153825 161875 162615 166075 170275 170625 175565 180005 180375 183125 186641 189735 191625 200577 202575 203635 213087 215355 225875 226625 227661 232505 238875 245791 252007 252525 253675 256375 260625 265629 268275 271025 278057 283605 285089 285675 300625 316225 319375 320835 334295 337625 353535 355145 355875 358925 364875 375439 379435 385725 395733 397047 398125 399945 420875 422799 442715 447125 449169 468013 472675 476125 485625 497203 498225 510825 526695 529451 531209 534725 540015 549375 559923 589225 593125 608125 610905 642875 659555 661745 666575 677625 679875 697515 704665 737373 748615 756021 761025 769125 791393 813075 830375 834171 851375 855267 877825 900025 901875 923377 933205 948675 958125 986531 1002885 1012875 1018175 1048061 1065435 1076775 1126317 1129375 1133125 1138305 1162525 1194375 1228955 1260035 1262625 1268375 1281875 1328145 1341375 1355125 1390285 1404039 1418025 1425445 1428375 1491609 1506899 1581125 1588353 1593627 1604175 1671475 1688125 1720537 1767675 1775725 1779375 1794625 1824375 1877195 1897175 1928625 1946399 1978665 1985235 1995623 1999725 2104375 2113995 2213575 2235625 2245845 2340065 2363375 2374179 2380625 2486015 2491125 2554125 2628073 2633475 2647255 2656045 2673625 2700075 2770131 2799615 2946125 2959593 2973071 3054525 3144183 3214375 3276091 3297775 3308725 3332875 3388125 3399375 3487575 3523325 3686865 3706157 3743075 3780105 3805125 3845625 3956965 4065375 4151875 4170855 4256875 4276335 4389125 4500125 4520697 4616885 4666025 4743375 4880707 4932655 5014425 5064375 5090875 5161611 5240305 5327175 5383875 5539751 5631585 5691525 5812625 5839197 5986869 6144775 6300175 6313125 6341875 6463639 6640725 6706875 6775625 6905717 6951425 7020195 7090125 7127225 7141875 7458045 7534495 7884219 7905625 7941765 7968135 8020875 8357375 8602685 8838375 8878625 8919213 8973125 9385975 9485875 9643125 9731995 9828273 9893325 9926175 9978115 9998625 10288109 10548293 10569975 11067875 11118471 11229225 11700325 11816875 11870895 12430075 12455625 12770625 13140365 13167375 13236275 13280225 13368125 13500375 13624793 13850655 13998075 14642121 14730625 14797965 14865355 15272625 15720915 16380455 16488875 16543625 16619253 16664375 17437875 17616625 18396511 18434325 18530785 18715375 18900525 19025625 19390917 19589687 19784825 20326875 20717151 20811497 20854275 21381675 21945625 22500625 22603485 23084425 23330125 23716875 24403535 24663275 25072125 25454375 25808055 25943099 26201525 26635875 26919375 27698755 28157925 28457625 29063125 29195985 29934345 30723875 30864327 31500875 31644879 32318195 33203625 34164949 34528585 34757125 35100975 35450625 35636125 37290225 37672475 38649923 38778257 39421095 39708825 39840675 40104375 40874379 41786875 43013425 44191875 44393125 44596065 46929875 47429375 48659975 49141365 49466625 49630875 49890575 49993125 51440545 52741465 52849875 55189533 55339375 55592355 56146125 58501625 58769061 59354475 62150375 62434491 65701825 65836875 66181375 66401125 67501875 68123965 69253275 69990375 72016763 73210605 73838051 73989825 74326775 76363125 77829297 78604575 81902275 82444375 82718125 83096265 87189375 88083125 91982555 92171625 92653925 93576875 94502625 96954585 97948435 98924125 102494847 103585755 104057485 104271375 106908375 110003627 113017425 115422125 115949769 116334771 116650625 122017675 123316375 125360625 129040275 129715495 131007625 133179375 137127809 138493775 140789625 142288125 145680479 145979925 149671725 153619375 154321635 157504375 158224395 161590975 166018125 170824745 172642925 173785625 175504875 178180625 186451125 188362375 193249615 193891285 197105475 198544125 199203375 204371895 215067125 216050289 221514153 222980325 234649375 239154643 243299875 245706825 247333125 248154375 249452875 257202725 263707325 264249375 270549461 275947665 277961775 280730625 292508125 293845305 296772375 310751875 312172455 328509125 330010881 330906875 332005625 340619825 346266375 349951875 360083815 366053025 369190255 369949125 371633875 389146485 393022875 409511375 411383427 415481325 437041437 459912775 460858125 463269625 472513125 484772925 489742175 494620625 504117341 512474235 517928775 520287425 521356875 534541875 550018135 565087125 577110625 579748845 581673855 610088375 616581875 645201375 648577475 655038125 685639045 692468875 703948125 717463929 728402395 729899625 748358625 770025389 771608175 791121975 807954875 811648383 854123725 863214625 877524375 932255625 941811875 959894663 966248075 969456425 985527375 992720625 996016875 1021859475 1075335625 1080251445 1107570765 1114901625 1195773215 1216499375 1228534125 1247264375 1286013625 1318536625 1352747305 1379738325 1389808875 1430047151 1469226525 1483861875 1512352023 1560862275 1642545625 1650054405 1703099125 1731331875 1800419075 1830265125 1845951275 1849745625 1858169375 1893846227 1945732425 1965114375 2047556875 2056917135 2077406625 2185207185 2299563875 2310076167 2316348125 2423864625 2448710875 2520586705 2562371175 2589643875 2601437125 2750090675 2825435625 2879683989 2898744225 2908369275 3050441875 3226006875 3242887375 3428195225 3462344375 3587319645 3642011975 3649498125 3741793125 3850126945 3858040875 3955609875 4039774375 4058241915 4270618625 4290141453 4316073125 4799473315 4831240375 4847282125 4927636875 5109297375 5390177723 5401257225 5537853825 5574508125 5681538681 5978866075 6142670625 6430068125 6592683125 6763736525 6898691625 6949044375 7150235755 7346132625 7561760115 7804311375 8250272025 8515495625 9002095375 9151325625 9229756375 9469231135 9728662125 10010330057 10284585675 10387033125 10926035925 11497819375 11550380835 12119323125 12243554375 12602933525 12811855875 12948219375 13007185625 13750453375 14398419945 14493721125 14541846375 16170533169 16214436875 17140976125 17936598225 18210059875 19250634725 19290204375 19778049375 20291209575 21353093125 21450707265 23997366575 24156201875 24236410625 25546486875 26950888615 27006286125 27689269125 28407693405 29894330375 30030990171 33818682625 34493458125 35751178775 36730663125 37808800575 39021556875 41251360125 45010476875 46148781875 47346155675 48643310625 50051650285 51422928375 54630179625 57751904175 63014667625 64059279375 68752266875 70072310399 71992099725 72468605625 72709231875 80852665845 85704880625 89682991125 91050299375 96253173625 101456047875 107253536325 119986832875 134754443075 135031430625 138446345625 142038467025 149471651875 150154950855 169093413125 178755893875 189044002875 206256800625 210216931197 236730778375 250258251425 257114641875 273150898125 288759520875 315073338125 350361551995 359960498625 404263329225 448414955625 481265868125 507280239375 536267681625 599934164375 673772215375 710192335125 750774754275 893779469375 945220014375 1051084655985 1183653891875 1251291257125 1443797604375 1751807759975 1799802493125 2021316646125 2681338408125 3368861076875 3550961675625 3753873771375 5255423279925 6256456285625 8759038799875 10106583230625 18769368856875 26277116399625 43795193999375 131385581998125
- Sum of all divisors σ(n): 288539050947840
- Sum of proper divisors (its aliquot sum) s(n): 157153468949715
- 131385581998125 is an abundant number, because the sum of its proper divisors (157153468949715) is greater than itself. Its abundance is 25767886951590
Bases of 131385581998125
- Binary: 111011101111110100101101111000110010000001011012
- Hexadecimal: 0x777E96F1902D
- Base-36: 1AKLPB8VFX
Squares and roots of 131385581998125
- 131385581998125 squared (1313855819981252) is 17262171156986028067503515625
- 131385581998125 cubed (1313855819981253) is 2268000404011856092597935884810149658203125
-
The
square root of 131385581998125 is 11462354.9935484461 -
The
cube root of 131385581998125 is 50837.3108724917
Scales and comparisons
How big is 131385581998125?- 131,385,581,998,125 seconds is equal to 4,177,655 years, 5 weeks, 3 days, 7 hours, 28 minutes, 45 seconds.
-
To count from 1 to 131,385,581,998,125 would take you about ten million, four hundred forty-four thousand, one hundred thirty-seven 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 131385581998125 cubic inches would be around 4236.4 feet tall.
Recreational maths with 131385581998125
- 131385581998125 backwards is 521899185583131
- The number of decimal digits it has is: 15
- The sum of 131385581998125's digits is 69
- More coming soon!
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The information we have on file for 131385581998125 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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