131438942976

Names of 131438942976

• Cardinal: 131438942976 can be written as One hundred thirty-one billion, four hundred thirty-eight million, nine hundred forty-two thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 1.31438942976 × 10¹¹

Factors of 131438942976

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 232

Divisors of 131438942976

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 19 22 24 29 32 33 34 38 44 48 51 57 58 64 66 68 76 87 88 96 102 114 116 121 128 132 136 151 152 174 176 187 192 204 209 228 232 242 256 264 272 302 304 319 323 348 352 363 374 384 408 418 453 456 464 484 493 528 544 551 561 604 608 627 638 646 696 704 726 748 768 816 836 906 912 928 957 968 969 986 1056 1088 1102 1122 1208 1216 1254 1276 1292 1392 1408 1452 1479 1496 1632 1653 1661 1672 1812 1824 1856 1914 1936 1938 1972 2057 2112 2176 2204 2244 2299 2416 2432 2508 2552 2567 2584 2784 2816 2869 2904 2958 2992 3264 3306 3322 3344 3509 3553 3624 3648 3712 3828 3872 3876 3944 4114 4224 4352 4379 4408 4488 4598 4832 4864 4983 5016 5104 5134 5168 5423 5568 5738 5808 5916 5984 6061 6171 6528 6612 6644 6688 6897 7018 7106 7248 7296 7424 7656 7701 7744 7752 7888 8228 8448 8607 8758 8816 8976 9196 9367 9664 9966 10032 10208 10268 10336 10527 10659 10846 11136 11476 11616 11832 11968 12122 12342 13056 13137 13224 13288 13376 13794 14036 14212 14496 14592 15312 15402 15488 15504 15776 16269 16456 17214 17516 17632 17952 18183 18271 18392 18734 19328 19932 20064 20416 20536 20672 21054 21318 21692 22272 22952 23232 23664 23936 24244 24684 26274 26448 26576 26752 27588 28072 28101 28237 28424 28992 30624 30804 30976 31008 31552 31559 32538 32912 34428 35032 35264 35904 36366 36542 36784 37468 38656 39083 39864 40128 40832 41072 41344 42108 42636 43384 45904 46464 47328 47872 48169 48488 48773 49368 52548 52896 53152 53504 54813 55176 56144 56202 56474 56848 57984 59653 61248 61608 62016 63104 63118 65076 65824 66671 68856 70064 70528 71808 72732 73084 73568 74443 74936 78166 79728 80256 81664 82144 82688 83201 84216 84711 85272 86768 91808 92928 94656 94677 96338 96976 97546 98736 103037 105096 105792 106304 109626 110352 112288 112404 112948 113696 115968 117249 119306 122496 123216 124032 126208 126236 130152 131648 133342 137712 140128 141056 143616 144507 145464 146168 146319 147136 148886 149872 156332 159456 160512 164288 166402 168432 169422 170544 173536 178959 183616 189312 189354 192676 193952 195092 197472 200013 206074 210192 211584 212608 219252 220704 223329 224576 224808 225896 227392 234498 238612 244992 246432 248064 249603 252472 260304 263296 266684 275424 280256 289014 290928 292336 292638 294272 297772 299744 309111 310607 312664 318912 328576 332804 336864 338844 341088 347072 347149 357918 367232 378624 378708 385352 387904 390184 394944 400026 412148 420384 423168 425216 438504 441408 446658 449152 449616 451792 454784 468996 477224 492864 499206 504944 520608 526592 529859 533368 536503 550848 560512 578028 581856 584672 585276 588544 595544 599488 618222 621214 625328 637824 657152 665608 673728 677688 682176 694144 694298 715836 734464 757416 770704 775808 780368 789888 800052 818873 824296 840768 877008 882816 893316 898304 899232 903584 909568 915211 931821 937992 954448 985728 998412 1009888 1041216 1041447 1059718 1066736 1073006 1101696 1121024 1133407 1156056 1163712 1169344 1170552 1191088 1198976 1236444 1242428 1250656 1275648 1331216 1347456 1355376 1364352 1388288 1388596 1414417 1431672 1514832 1541408 1551616 1560736 1579776 1589577 1600104 1609509 1637746 1648592 1681536 1754016 1765632 1786632 1798464 1807168 1830422 1863642 1875984 1908896 1971456 1996824 2019776 2082432 2082894 2119436 2133472 2146012 2203392 2266814 2312112 2327424 2338688 2341104 2382176 2397952 2456619 2472888 2484856 2501312 2662432 2694912 2710752 2728704 2745633 2777192 2828834 2863344 3029664 3082816 3121472 3179154 3200208 3219018 3275492 3297184 3363072 3400221 3508032 3573264 3596928 3614336 3660844 3727284 3751968 3817792 3993648 4039552 4164864 4165788 4238872 4243251 4266944 4292024 4533628 4624224 4654848 4677376 4682208 4764352 4913238 4945776 4969712 5002624 5324864 5421504 5491266 5554384 5657668 5726688 5901533 6059328 6165632 6242944 6358308 6400416 6438036 6550984 6594368 6800442 7016064 7146528 7193856 7228672 7321688 7454568 7503936 7635584 7987296 8079104 8331576 8477744 8486502 8533888 8584048 9007603 9067256 9248448 9364416 9528704 9826476 9891552 9939424 10005248 10067321 10649728 10843008 10982532 11108768 11315336 11453376 11803066 12118656 12331264 12485888 12716616 12800832 12876072 13101968 13188736 13600884 14032128 14293056 14643376 14909136 15007872 15271168 15558587 15974592 16663152 16955488 16973004 17067776 17168096 17704599 18015206 18134512 18496896 18728832 19057408 19652952 19783104 19878848 20134642 21299456 21686016 21965064 22217536 22630672 22906752 23606132 24237312 25433232 25601664 25752144 26203936 26377472 27022809 27201768 28586112 29286752 29818272 30015744 30201963 31117174 31949184 33326304 33910976 33946008 34336192 35409198 36030412 36269024 36993792 37457664 39305904 39566208 39757696 40269284 43930128 44435072 45261344 45813504 46675761 47212264 50866464 51203328 51504288 52407872 54045618 54403536 57172224 58573504 59636544 60403926 62234348 63898368 66652608 67821952 67892016 68672384 70818396 72060824 72538048 78611808 79132416 79515392 80538568 87860256 88870144 90522688 93351522 94424528 101732928 103008576 104815744 108091236 108807072 117147008 119273088 120807852 124468696 133305216 135643904 135784032 137344768 141636792 144121648 145076096 157223616 161077136 171144457 175720512 181045376 186703044 188849056 203465856 206017152 209631488 216182472 217614144 234294016 238546176 241615704 248937392 266610432 271568064 283273584 288243296 290152192 314447232 322154272 342288914 351441024 362090752 373406088 377698112 406931712 412034304 432364944 435228288 483231408 497874784 513433371 543136128 566547168 576486592 628894464 644308544 684577828 702882048 746812176 755396224 864729888 870456576 966462816 995749568 1026866742 1086272256 1133094336 1152973184 1288617088 1369155656 1493624352 1510792448 1729459776 1932925632 1991499136 2053733484 2266188672 2305946368 2577234176 2738311312 2987248704 3458919552 3865851264 3982998272 4107466968 4532377344 5476622624 5974497408 6917839104 7731702528 8214933936 10953245248 11948994816 16429867872 21906490496 32859735744 43812980992 65719471488 131438942976
• Sum of all divisors σ(n): 446272243200
• Sum of proper divisors (its aliquot sum) s(n): 314833300224
• 131438942976 is an abundant number, because the sum of its proper divisors (314833300224) is greater than itself. Its abundance is 183394357248

Bases of 131438942976

• Binary: 1111010011010010111110001101100000000₂
• Hexadecimal: 0x1E9A5F1B00
• Base-36: 1ODRCPHC

Squares and roots of 131438942976

• 131438942976 squared (131438942976²) is 17276195730648179736576
• 131438942976 cubed (131438942976³) is 2270764905482880751914011565490176
• The square root of 131438942976 is 362545.0909555941
• The cube root of 131438942976 is 5084.4192300963

Scales and comparisons

• 131,438,942,976 seconds is equal to 4,179 years, 18 weeks, 2 days, 1 hour, 29 minutes, 36 seconds.
• To count from 1 to 131,438,942,976 would take you about eight thousand, three hundred fifty-eight 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 131438942976 cubic inches would be around 423.7 feet tall.

Recreational maths with 131438942976

• 131438942976 backwards is 679249834131
• 131438942976 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131438942976's digits is 57
• More coming soon!