131953468744125

Names of 131953468744125

• Cardinal: 131953468744125 can be written as One hundred thirty-one trillion, nine hundred fifty-three billion, four hundred sixty-eight million, seven hundred forty-four thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.31953468744125 × 10¹⁴

Factors of 131953468744125

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 460

Divisors of 131953468744125

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 5 7 9 15 21 25 31 35 45 63 67 75 93 105 125 155 175 201 217 225 279 315 335 347 375 465 469 525 603 651 775 875 1005 1041 1085 1125 1395 1407 1575 1675 1735 1953 2077 2325 2345 2429 2625 3015 3123 3255 3875 4221 4489 5025 5205 5425 6231 6975 7035 7287 7875 8375 8675 9765 10385 10757 11625 11725 12145 13467 14539 15075 15615 16275 18693 21105 21861 22445 23249 25125 26025 27125 31155 31423 32271 34875 35175 36435 40401 43375 43617 48825 51925 53785 58625 60725 67335 69747 72695 75299 75375 78075 81375 93465 94269 96813 105525 109305 112225 116245 120409 130125 130851 139159 155775 157115 161355 162743 175875 182175 202005 209241 218085 225897 244125 259625 268925 282807 303625 336675 348735 361227 363475 376495 390375 417477 467325 471345 484065 488229 527625 546525 561125 581225 602045 654255 677691 695795 720719 778875 785575 806775 813715 842863 910875 974113 1010025 1046205 1083681 1090425 1129485 1252431 1344625 1414035 1464687 1557683 1683375 1743675 1806135 1817375 1882475 2087385 2162157 2336625 2356725 2420325 2441145 2528589 2732625 2906125 2922339 3010225 3271275 3388455 3478975 3603595 3732679 3927875 4033875 4068575 4214315 4673049 4870565 5045033 5050125 5231025 5418405 5452125 5647425 6262155 6486471 7070175 7323435 7585767 7788415 8067403 8718375 8767017 9030675 9412375 10436925 10810785 10903781 11198037 11783625 12101625 12205725 12642945 14019147 14611695 15051125 15135099 16356375 16942275 17394875 18017975 18663395 20342875 21071575 23365245 24202209 24352825 25225165 26128753 26155125 27092025 28237125 31310775 32432355 32711343 33594111 35350875 36617175 37928835 38942075 40337015 43835085 45153375 45405297 48288173 52184625 54053925 54518905 55990185 56471821 61028625 63214725 70095735 72606627 73058475 75675495 78386259 84711375 90089875 93316975 98134029 105357875 116826225 121011045 121764125 126125825 130643765 135460125 144864519 156553875 162161775 163556715 167970555 169415463 183085875 189644175 194710375 201685075 219175425 227026485 235158777 241440865 250089493 270269625 272594525 279950925 282359105 316073625 338017211 350478675 363033135 365292375 378377475 391931295 434593557 466584875 490670145 508246389 540516001 584131125 605055225 630629125 653218825 724322595 750268479 810808875 817783575 839852775 847077315 948220875 1008425375 1014051633 1095877125 1135132425 1175793885 1207204325 1250447465 1362972625 1399754625 1411795525 1621548003 1690086055 1750626451 1752393375 1815165675 1891887375 1959656475 2172967785 2250805437 2453350725 2541231945 2702580005 3025276125 3042154899 3266094125 3621612975 3751342395 3783612007 4088917875 4199263875 4235386575 4864644009 5070258165 5251879353 5675662125 5878969425 6036021625 6252237325 7058977625 8107740015 8450430275 8753132255 9075828375 9798282375 10864838925 11254027185 11350836021 12266753625 12706159725 13512900025 15210774495 15755638059 16755996031 18108064875 18756711975 18918060035 21176932875 24323220045 25351290825 26259396765 29394847125 31261186625 34052508063 40538700075 42252151375 43765661275 50267988093 54324194625 56270135925 56754180105 63530798625 67564500125 76053872475 78778190295 83779980155 93783559875 94590300175 117291972217 121616100225 126756454125 131296983825 150803964279 170262540315 202693500375 218828306375 251339940465 281350679625 283770900525 351875916651 380269362375 393890951475 418899900775 472951500875 586459861085 608080501125 656484919125 754019821395 851312701575 1055627749953 1256699702325 1418854502625 1759379583255 1969454757375 2094499503875 2932299305425 3770099106975 4256563507875 5278138749765 6283498511625 8796897916275 14661496527125 18850495534875 26390693748825 43984489581375 131953468744125
• Sum of all divisors σ(n): 285692776492032
• Sum of proper divisors (its aliquot sum) s(n): 153739307747907
• 131953468744125 is an abundant number, because the sum of its proper divisors (153739307747907) is greater than itself. Its abundance is 21785839003782

Bases of 131953468744125

• Binary: 11110000000001011001111101000011010000110111101₂
• Hexadecimal: 0x7802CFA1A1BD
• Base-36: 1ARUL4CP19

Squares and roots of 131953468744125

• 131953468744125 squared (131953468744125²) is 17411717913606773304722015625
• 131953468744125 cubed (131953468744125³) is 2297536575494632718310530923045207376953125
• The square root of 131953468744125 is 11487100.1015976613
• The cube root of 131953468744125 is 50910.4501510185

Scales and comparisons

• 131,953,468,744,125 seconds is equal to 4,195,712 years, 7 weeks, 4 days, 13 hours, 48 minutes, 45 seconds.
• To count from 1 to 131,953,468,744,125 would take you about ten million, four hundred eighty-nine thousand, two 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 131953468744125 cubic inches would be around 4242.5 feet tall.

Recreational maths with 131953468744125

• 131953468744125 backwards is 521447864359131
• 131953468744125 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131953468744125's digits is 63
• More coming soon!