131875482339328

Names of 131875482339328

• Cardinal: 131875482339328 can be written as One hundred thirty-one trillion, eight hundred seventy-five billion, four hundred eighty-two million, three hundred thirty-nine thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.31875482339328 × 10¹⁴

Factors of 131875482339328

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 881

Divisors of 131875482339328

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 41 49 52 56 64 67 82 91 98 104 112 128 134 164 182 196 208 224 256 268 287 328 343 364 392 416 448 469 512 533 536 574 637 656 686 728 751 784 832 871 896 938 1024 1066 1072 1148 1274 1312 1372 1456 1502 1568 1664 1742 1792 1876 2009 2048 2132 2144 2296 2401 2548 2624 2744 2747 2912 3004 3136 3283 3328 3484 3584 3731 3752 4018 4264 4288 4459 4592 4802 5096 5248 5257 5488 5494 5824 6008 6097 6272 6566 6656 6968 7168 7462 7504 8036 8528 8576 8918 9184 9604 9763 10192 10496 10514 10976 10988 11648 12016 12194 12544 13132 13312 13936 14063 14336 14924 15008 16072 17056 17152 17836 18368 19208 19229 19526 20384 20992 21028 21952 21976 22981 23296 24032 24388 25088 26117 26264 26624 27872 28126 29848 30016 30791 31213 32144 34112 34304 35672 35711 36736 36799 38416 38458 39052 40768 41984 42056 42679 43904 43952 45962 46592 48064 48776 50176 50317 52234 52528 55744 56252 59696 60032 61582 62426 64288 68224 68341 68608 71344 71422 73472 73598 76832 76916 78104 81536 83968 84112 85358 87808 87904 91924 93184 96128 97552 98441 100352 100634 104468 105056 111488 112504 119392 120064 123164 124852 128576 134603 136448 136682 137216 142688 142844 146944 147196 153664 153832 156208 160867 163072 168224 170716 175616 175808 182819 183848 186368 192256 195104 196882 201268 208936 210112 215537 222976 225008 238784 240128 246328 249704 249977 257152 257593 269206 272896 273364 285376 285688 293888 294392 298753 307328 307664 312416 321734 326144 336448 341432 351232 351616 352219 365638 367696 384512 390208 393764 400283 402536 417872 420224 431074 445952 450016 477568 478387 480256 492656 499408 499954 514304 515186 538412 545792 546728 570752 571376 587776 588784 597506 614656 615328 624832 643468 652288 654121 672896 682864 702464 703232 704438 731276 735392 769024 780416 787528 800566 805072 835744 840448 862148 891904 900032 942221 955136 956774 960512 985312 998816 999908 1028608 1030372 1076824 1091584 1093456 1141504 1142752 1177568 1195012 1229312 1230656 1249664 1279733 1286936 1304576 1308242 1345792 1365728 1406464 1408876 1462552 1470784 1508759 1538048 1560832 1575056 1601132 1610144 1671488 1680896 1724296 1749839 1783808 1800064 1803151 1884442 1910272 1913548 1970624 1997632 1999816 2057216 2060744 2062997 2091271 2153648 2186912 2283008 2285504 2355136 2390024 2458624 2461312 2465533 2499328 2559466 2573872 2616484 2691584 2731456 2801981 2812928 2817752 2925104 2941568 3017518 3121664 3150112 3202264 3220288 3342976 3348709 3361792 3448592 3499678 3600128 3606302 3768884 3820544 3827096 3941248 3995264 3999632 4114432 4121488 4125994 4182542 4307296 4373824 4566016 4571008 4578847 4710272 4780048 4917248 4922624 4931066 4998656 5118932 5147744 5232968 5383168 5462912 5603962 5625856 5635504 5850208 5883136 6035036 6243328 6300224 6404528 6440576 6595547 6685952 6697418 6723584 6897184 6999356 7200256 7212604 7537768 7641088 7654192 7882496 7990528 7999264 8242976 8251988 8365084 8614592 8747648 9132032 9142016 9157694 9420544 9560096 9845248 9862132 9997312 10237864 10295488 10465936 10561313 10766336 10925824 11207924 11271008 11700416 11766272 12070072 12248873 12486656 12600448 12809056 12881152 13191094 13371904 13394836 13794368 13998712 14400512 14425208 14440979 15075536 15308384 15764992 15981056 15998528 16485952 16503976 16730168 17229184 17258731 17495296 18284032 18315388 18841088 19120192 19613867 19690496 19724264 19994624 20475728 20590976 20931872 21122626 21851648 22415848 22542016 23400832 23440963 23532544 24140144 24497746 25200896 25618112 25762304 26382188 26743808 26789672 26818961 27588736 27997424 28801024 28850416 28881958 30151072 30616768 31529984 31962112 31997056 32051929 32971904 33007952 33460336 34458368 34517462 34990592 36568064 36630776 37682176 38240384 39227734 39380992 39448528 40951456 41181952 41863744 42245252 43703296 44831696 45084032 46801664 46881926 47065088 48280288 48995492 50401792 51236224 51524608 52764376 53487616 53579344 53637922 55177472 55994848 57700832 57763916 60302144 61233536 63059968 63924224 63994112 64103858 65943808 66015904 66920672 68916736 69034924 69981184 73136128 73261552 73929191 75364352 76480768 78455468 78897056 81902912 82363904 83727488 84490504 85742111 87406592 89663392 90168064 93603328 93763852 96560576 97990984 100803584 101086853 102472448 103049216 105528752 107158688 107275844 110354944 111989696 115401664 115527832 120604288 120811117 122467072 127988224 128207716 131887616 132031808 133841344 137297069 137833472 138069848 139962368 146523104 147858382 152961536 156910936 157794112 163805824 164727808 167454976 168981008 171484222 179326784 180336128 187206656 187527704 187732727 193121152 195981968 201607168 202173706 204944896 211057504 214317376 214551688 220709888 223979392 224363503 230803328 231055664 241208576 241622234 244934144 255976448 256415432 263775232 264063616 267682688 274594138 275666944 276139696 293046208 295716764 305923072 313821872 315588224 327611648 329455616 334909952 337962016 342968444 358653568 360672256 374413312 375055408 375465454 386242304 391963936 404347412 409889792 422115008 428634752 429103376 441419776 447958784 448727006 461606656 462111328 482417152 483244468 489868288 511952896 512830864 527550464 528127232 535365376 549188276 552279392 586092416 591433528 611846144 627643744 631176448 655223296 669819904 675924032 685936888 707607971 717307136 721344512 750110816 750930908 772484608 783927872 808694824 819779584 844230016 857269504 858206752 895917568 897454012 923213312 924222656 961079483 964834304 966488936 979736576 1025661728 1056254464 1070730752 1098376552 1104558784 1172184832 1182867056 1255287488 1262352896 1310446592 1314129089 1339639808 1351848064 1371873776 1415215942 1434614272 1500221632 1501861816 1544969216 1567855744 1570544521 1617389648 1688460032 1714539008 1716413504 1791835136 1794908024 1846426624 1848445312 1922158966 1929668608 1932977872 2051323456 2112508928 2141461504 2196753104 2209117568 2344369664 2365734112 2510574976 2524705792 2620893184 2628258178 2703696128 2743747552 2830431884 2869228544 3000443264 3003723632 3089938432 3135711488 3141089042 3234779296 3376920064 3429078016 3432827008 3583670272 3589816048 3692853248 3696890624 3844317932 3865955744 4102646912 4225017856 4282923008 4393506208 4418235136 4688739328 4731468224 4953255797 5021149952 5049411584 5256516356 5407392256 5487495104 5660863768 5738457088 6000886528 6007447264 6271422976 6282178084 6469558592 6753840128 6858156032 6865654016 7179632096 7393781248 7688635864 7731911488 8205293824 8787012416 8836470272 9198903623 9377478656 9462936448 9906511594 10042299904 10513032712 10814784512 10974990208 11321727536 12001773056 12014894528 12542845952 12564356168 12939117184 13507680256 13731308032 14359264192 14787562496 15377271728 15463822976 16410587648 17574024832 17672940544 18397807246 18925872896 19813023188 20084599808 21026065424 21629569024 21949980416 22643455072 24003546112 24029789056 25085691904 25128712336 25878234368 27462616064 28718528384 29575124992 30754543456 30927645952 32821175296 35148049664 35345881088 36795614492 37851745792 39626046376 40169199616 42052130848 43899960832 45286910144 48007092224 48059578112 50257424672 51756468736 54925232128 57437056768 61509086912 61855291904 64392325361 65642350592 70296099328 73591228984 75703491584 79252092752 84104261696 87799921664 90573820288 96119156224 100514849344 103512937472 114874113536 123018173824 123710583808 128784650722 140592198656 147182457968 151406983168 158504185504 168208523392 175599843328 181147640576 192238312448 201029698688 207025874944 229748227072 246036347648 247421167616 257569301444 281184397312 294364915936 317008371008 336417046784 362295281152 384476624896 402059397376 459496454144 492072695296 515138602888 588729831872 634016742016 672834093568 724590562304 804118794752 984145390592 1030277205776 1177459663744 1268033484032 1345668187136 1449181124608 1608237589504 1968290781184 2060554411552 2354919327488 2536066968064 2691336374272 3216475179008 4121108823104 4709838654976 5072133936128 8242217646208 9419677309952 10144267872256 16484435292416 18839354619904 32968870584832 65937741169664 131875482339328
• Sum of all divisors σ(n): 344882449416960
• Sum of proper divisors (its aliquot sum) s(n): 213006967077632
• 131875482339328 is an abundant number, because the sum of its proper divisors (213006967077632) is greater than itself. Its abundance is 81131484738304

Bases of 131875482339328

• Binary: 11101111111000010100111010001111000100000000000₂
• Hexadecimal: 0x77F0A7478800
• Base-36: 1AQURD9DZ4

Squares and roots of 131875482339328

• 131875482339328 squared (131875482339328²) is 17391142842230411227335491584
• 131875482339328 cubed (131875482339328³) is 2293465350751287154031440509296241176215552
• The square root of 131875482339328 is 11483705.0789075909
• The cube root of 131875482339328 is 50900.4185708427

Scales and comparisons

• 131,875,482,339,328 seconds is equal to 4,193,232 years, 21 weeks, 6 days, 3 hours, 35 minutes, 28 seconds.
• To count from 1 to 131,875,482,339,328 would take you about ten million, four hundred eighty-three thousand and eighty-one 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 131875482339328 cubic inches would be around 4241.7 feet tall.

Recreational maths with 131875482339328

• 131875482339328 backwards is 823933284578131
• 131875482339328 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131875482339328's digits is 67
• More coming soon!