131137284096

Names of 131137284096

• Cardinal: 131137284096 can be written as One hundred thirty-one billion, one hundred thirty-seven million, two hundred eighty-four thousand and ninety-six.

Scientific notation

• Scientific notation: 1.31137284096 × 10¹¹

Factors of 131137284096

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 115

Divisors of 131137284096

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 32 34 36 39 42 48 49 51 52 54 56 63 64 68 72 73 78 81 84 91 96 98 102 104 108 112 117 119 126 128 136 144 146 147 153 156 162 168 182 189 192 196 204 208 216 219 221 224 234 238 252 256 272 273 288 292 294 306 312 324 336 351 357 364 378 384 392 408 416 432 438 441 442 448 459 468 476 504 511 512 544 546 567 576 584 588 612 624 637 648 657 663 672 702 714 728 756 768 784 816 819 832 833 864 876 882 884 896 918 936 949 952 1008 1022 1024 1053 1071 1088 1092 1134 1152 1168 1176 1224 1241 1248 1274 1296 1314 1323 1326 1344 1377 1404 1428 1456 1512 1533 1536 1547 1568 1632 1638 1664 1666 1728 1752 1764 1768 1792 1836 1872 1898 1904 1911 1971 1989 2016 2044 2048 2106 2142 2176 2184 2268 2304 2336 2352 2448 2457 2482 2496 2499 2548 2592 2628 2646 2652 2688 2754 2808 2847 2856 2912 3024 3066 3072 3094 3136 3213 3264 3276 3328 3332 3456 3504 3528 3536 3577 3584 3672 3723 3744 3796 3808 3822 3942 3969 3978 4032 4088 4212 4284 4352 4368 4536 4599 4608 4641 4672 4704 4896 4914 4964 4992 4998 5096 5184 5256 5292 5304 5376 5508 5616 5694 5712 5733 5824 5913 5967 6048 6132 6144 6188 6272 6426 6528 6552 6643 6656 6664 6912 7008 7056 7072 7154 7168 7344 7371 7446 7488 7497 7592 7616 7644 7884 7938 7956 8064 8176 8424 8541 8568 8687 8704 8736 9072 9198 9216 9282 9344 9408 9639 9792 9828 9928 9984 9996 10192 10368 10512 10584 10608 10731 10752 10829 11016 11169 11232 11388 11424 11466 11648 11826 11934 12096 12264 12376 12544 12852 13056 13104 13286 13312 13328 13797 13824 13923 14016 14112 14144 14308 14336 14688 14742 14892 14976 14994 15184 15232 15288 15768 15876 15912 16128 16133 16352 16848 17082 17136 17199 17374 17408 17472 17901 18144 18396 18432 18564 18688 18816 19278 19584 19656 19856 19929 19968 19992 20384 20736 21024 21168 21216 21462 21504 21658 22032 22338 22464 22491 22776 22848 22932 23296 23652 23868 24192 24528 24752 25088 25623 25704 26061 26112 26208 26572 26624 26656 27594 27648 27846 28032 28224 28288 28616 29376 29484 29784 29952 29988 30368 30464 30576 31536 31752 31824 32193 32256 32266 32487 32704 33507 33696 34164 34272 34398 34748 34816 34944 35802 36288 36792 37128 37376 37632 38556 39168 39312 39712 39858 39936 39984 40768 41391 41472 41769 42048 42336 42432 42924 43008 43316 44064 44676 44928 44982 45552 45696 45864 46501 46592 47304 47736 48384 48399 49056 49504 50176 51246 51408 51597 52122 52224 52416 53144 53312 55188 55296 55692 56064 56448 56576 57232 58752 58968 59568 59787 59904 59976 60736 60809 60928 61152 63072 63504 63648 64386 64512 64532 64974 65408 67014 67392 67473 68328 68544 68796 69496 69888 71604 72576 73584 74256 74752 75264 76869 77112 78183 78336 78624 79424 79716 79872 79968 81536 82782 82944 83538 84096 84672 84864 85848 86632 88128 89352 89856 89964 91104 91392 91728 93002 93184 94608 95472 96579 96768 96798 97461 98112 99008 100352 100521 102492 102816 103194 104244 104448 104832 106288 106624 110376 111384 112128 112896 112931 113152 114464 117504 117936 119136 119574 119808 119952 121472 121618 121856 122304 125307 126144 127008 127296 128772 129024 129064 129948 130816 134028 134784 134946 136656 137088 137592 138992 139503 139776 143208 145152 145197 147168 148512 149504 150528 153738 154224 156366 156672 157248 158848 159432 159936 163072 165564 165888 167076 168192 169344 169728 171696 173264 176256 178704 179361 179712 179928 182208 182427 182784 183456 186004 186368 189216 190944 193158 193536 193596 194922 196224 198016 201042 204984 205632 206388 208488 209664 212576 213248 220752 222768 224256 225792 225862 226304 228928 234549 235008 235872 238272 239148 239616 239904 242944 243236 243712 244608 250614 252288 254016 254592 257544 258128 259896 261632 268056 269568 269892 273312 274176 275184 277984 279006 279552 286416 289737 290304 290394 292383 294336 297024 301056 307476 308448 312732 313344 314496 317696 318864 319872 326144 331128 334152 336384 338688 338793 339456 343392 346528 352512 357408 358722 359424 359856 364416 364854 365568 366912 372008 378432 381888 386316 387072 387192 389844 392448 396032 402084 409968 411264 412776 416976 418509 419328 425152 426496 435591 441504 445536 448512 451584 451724 452608 457856 469098 470016 471744 476544 478296 479808 485888 486472 489216 501228 504576 508032 509184 515088 516256 519792 523264 536112 538083 539136 539784 546624 547281 548352 550368 555968 558012 559104 572832 579474 580608 580788 584766 588672 594048 614952 616896 625464 628992 635392 637728 639744 652288 662256 668304 672768 677376 677586 678912 686784 693056 703647 705024 714816 717444 718848 719712 728832 729708 731136 733824 744016 756864 763776 772632 774384 779688 784896 790517 792064 804168 819936 822528 825552 833952 837018 838656 850304 852992 871182 877149 883008 891072 903168 903448 915712 938196 940032 943488 953088 956592 959616 971776 972944 978432 1002456 1009152 1016064 1016379 1018368 1030176 1032512 1039584 1046528 1072224 1076166 1078272 1079568 1093248 1094562 1096704 1100736 1111936 1116024 1145664 1158948 1161216 1161576 1169532 1177344 1188096 1229904 1233792 1250928 1255527 1257984 1270784 1275456 1279488 1304576 1306773 1324512 1336608 1345536 1354752 1355172 1357824 1373568 1386112 1407294 1410048 1429632 1434888 1439424 1457664 1459416 1467648 1488032 1513728 1527552 1545264 1548768 1559376 1569792 1581034 1584128 1608336 1639872 1641843 1645056 1651104 1667904 1674036 1677312 1700608 1705984 1742364 1754298 1766016 1782144 1806896 1831424 1876392 1886976 1906176 1913184 1919232 1943552 1945888 1956864 2004912 2018304 2032128 2032758 2036736 2060352 2065024 2079168 2144448 2152332 2156544 2159136 2186496 2189124 2193408 2201472 2223872 2232048 2291328 2317896 2323152 2339064 2354688 2371551 2376192 2459808 2467584 2501856 2511054 2515968 2541568 2550912 2558976 2613546 2649024 2673216 2709504 2710344 2747136 2772224 2814588 2820096 2859264 2869776 2878848 2915328 2918832 2935296 2976064 3027456 3049137 3055104 3090528 3097536 3118752 3139584 3162068 3168256 3216672 3279744 3283686 3290112 3302208 3335808 3348072 3401216 3484728 3508596 3532032 3564288 3613792 3662848 3752784 3766581 3773952 3812352 3826368 3838464 3891776 3913728 4009824 4036608 4064256 4065516 4073472 4120704 4130048 4158336 4288896 4304664 4318272 4372992 4378248 4402944 4447744 4464096 4582656 4635792 4646304 4678128 4709376 4743102 4752384 4919616 4925529 4935168 5003712 5022108 5031936 5101824 5117952 5227092 5298048 5346432 5420688 5494272 5544448 5629176 5718528 5739552 5757696 5830656 5837664 5870592 5952128 6054912 6098274 6110208 6181056 6195072 6237504 6324136 6433344 6559488 6567372 6580224 6604416 6671616 6696144 6802432 6969456 7017192 7064064 7114653 7128576 7227584 7325696 7505568 7533162 7547904 7624704 7652736 7676928 7783552 8019648 8128512 8131032 8241408 8260096 8316672 8577792 8609328 8636544 8745984 8756496 8805888 8895488 8928192 9147411 9165312 9271584 9292608 9356256 9418752 9486204 9504768 9839232 9851058 9870336 10007424 10044216 10203648 10454184 10596096 10692864 10841376 10988544 11088896 11258352 11437056 11479104 11515392 11675328 11741184 11904256 12109824 12196548 12220416 12362112 12390144 12475008 12648272 12866688 13118976 13134744 13208832 13343232 13392288 13604864 13938912 14034384 14128128 14229306 14257152 14455168 15011136 15066324 15095808 15305472 15353856 15567104 16039296 16262064 16482816 16520192 16633344 17155584 17218656 17273088 17491968 17512992 17611776 17790976 17856384 18294822 18330624 18543168 18585216 18712512 18972408 19678464 19702116 19740672 20014848 20088432 20407296 20908368 21192192 21343959 21385728 21682752 21977088 22177792 22516704 22874112 22958208 23030784 23350656 23808512 24393096 24724224 24780288 24950016 25296544 25733376 26237952 26269488 26417664 26686464 26784576 27877824 28068768 28256256 28458612 28514304 28910336 30022272 30132648 30610944 31134208 32078592 32524128 32965632 33040384 33266688 34311168 34437312 34546176 35025984 35223552 35712768 36589644 36661248 37086336 37170432 37425024 37944816 39356928 39404232 40029696 40176864 40814592 41816736 42384384 42687918 42771456 43365504 45033408 45916416 46061568 46701312 47617024 48786192 49448448 49560576 49900032 50593088 51466752 52475904 52538976 52835328 53372928 53569152 55755648 56137536 56917224 57820672 60044544 60265296 61221888 62268416 64031877 64157184 65048256 65931264 66533376 68622336 68874624 69092352 70051968 71425536 73179288 74172672 74340864 74850048 75889632 78713856 78808464 80059392 80353728 83633472 84768768 85375836 85542912 86731008 90066816 91832832 93402624 95234048 97572384 98896896 99121152 99800064 101186176 102933504 105077952 105670656 107138304 111511296 112275072 113834448 115641344 120089088 120530592 122443776 124536832 128063754 128314368 130096512 137749248 138184704 140103936 142851072 146358576 148345344 148681728 149700096 151779264 157427712 157616928 160118784 160707456 167266944 170751672 173462016 180133632 183665664 186805248 195144768 197793792 199600128 202372352 205867008 210155904 214276608 223022592 224550144 227668896 231282688 240178176 241061184 256127508 256628736 260193024 275498496 280207872 285702144 292717152 296690688 297363456 299400192 303558528 315233856 321414912 334533888 341503344 346924032 360267264 367331328 373610496 390289536 404744704 420311808 428553216 446045184 449100288 455337792 480356352 482122368 512255016 520386048 550996992 560415744 585434304 593381376 598800384 607117056 630467712 642829824 669067776 683006688 693848064 720534528 780579072 809489408 840623616 857106432 892090368 898200576 910675584 964244736 1024510032 1040772096 1101993984 1120831488 1170868608 1214234112 1260935424 1285659648 1338135552 1366013376 1441069056 1561158144 1618978816 1681247232 1796401152 1821351168 1928489472 2049020064 2081544192 2341737216 2428468224 2521870848 2571319296 2676271104 2732026752 3122316288 3362494464 3642702336 3856978944 4098040128 4683474432 4856936448 5043741696 5464053504 6244632576 7285404672 7713957888 8196080256 9366948864 10087483392 10928107008 14570809344 16392160512 18733897728 21856214016 32784321024 43712428032 65568642048 131137284096
• Sum of all divisors σ(n): 526679473320
• Sum of proper divisors (its aliquot sum) s(n): 395542189224
• 131137284096 is an abundant number, because the sum of its proper divisors (395542189224) is greater than itself. Its abundance is 264404905128

Bases of 131137284096

• Binary: 1111010001000011001000010100000000000₂
• Hexadecimal: 0x1E88642800
• Base-36: 1O8RR400

Squares and roots of 131137284096

• 131137284096 squared (131137284096²) is 17196987280075014537216
• 131137284096 cubed (131137284096³) is 2255166206542495501558224556916736
• The square root of 131137284096 is 362128.8225148615
• The cube root of 131137284096 is 5080.5265860395

Scales and comparisons

• 131,137,284,096 seconds is equal to 4,169 years, 39 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
• To count from 1 to 131,137,284,096 would take you about eight thousand, three hundred thirty-nine 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 131137284096 cubic inches would be around 423.4 feet tall.

Recreational maths with 131137284096

• 131137284096 backwards is 690482731131
• The number of decimal digits it has is: 12
• The sum of 131137284096's digits is 45
• More coming soon!