137131426332000

Names of 137131426332000

• Cardinal: 137131426332000 can be written as One hundred thirty-seven trillion, one hundred thirty-one billion, four hundred twenty-six million, three hundred thirty-two thousand.

Scientific notation

• Scientific notation: 1.37131426332 × 10¹⁴

Factors of 137131426332000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1704

Divisors of 137131426332000

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 125 135 144 150 160 162 180 200 216 225 240 250 270 288 300 324 360 375 400 405 432 450 480 500 540 600 631 648 675 720 750 800 810 864 900 1000 1063 1080 1125 1200 1262 1296 1350 1440 1500 1620 1800 1893 2000 2025 2126 2160 2250 2400 2524 2592 2700 3000 3155 3189 3240 3375 3600 3786 4000 4050 4252 4320 4500 5048 5315 5400 5679 6000 6310 6378 6480 6750 7200 7572 8100 8504 9000 9465 9567 10096 10125 10630 10800 11358 12000 12620 12756 12960 13500 15144 15775 15945 16200 17008 17037 18000 18930 19134 20192 20250 21260 21600 22716 25240 25512 26575 27000 28395 28701 30288 31550 31890 32400 34016 34074 36000 37860 38268 40500 42520 45432 47325 47835 50480 51024 51111 53150 54000 56790 57402 60576 63100 63780 64800 68148 75720 76536 78875 79725 81000 85040 85185 86103 90864 94650 95670 100960 102048 102222 106300 108000 113580 114804 126200 127560 132875 136296 141975 143505 151440 153072 157750 159450 162000 170080 170370 172206 181728 189300 191340 204444 212600 227160 229608 236625 239175 252400 255120 255555 265750 272592 283950 287010 302880 306144 315500 318900 324000 340740 344412 378600 382680 398161 398625 408888 425200 425925 430515 454320 459216 473250 478350 504800 510240 511110 531500 545184 567900 574020 631000 637800 670753 681480 688824 709875 717525 757200 765360 796322 797250 817776 850400 851850 861030 908640 918432 946500 956700 1022220 1063000 1135800 1148040 1194483 1195875 1262000 1275600 1277775 1341506 1362960 1377648 1419750 1435050 1514400 1530720 1592644 1594500 1635552 1703700 1722060 1893000 1913400 1990805 2012259 2044440 2126000 2129625 2152575 2271600 2296080 2388966 2391750 2524000 2551200 2555550 2683012 2725920 2755296 2839500 2870100 3185288 3189000 3353765 3407400 3444120 3583449 3587625 3786000 3826800 3981610 4024518 4088880 4252000 4259250 4305150 4543200 4592160 4777932 4783500 5111100 5366024 5679000 5740200 5972415 6036777 6370576 6378000 6388875 6707530 6814800 6888240 7166898 7175250 7572000 7653600 7963220 8049036 8177760 8518500 8610300 9555864 9567000 9954025 10061295 10222200 10732048 10750347 10762875 11358000 11480400 11944830 12073554 12741152 12756000 12777750 13415060 13629600 13776480 14333796 14350500 15926440 16098072 16768825 17037000 17220600 17917245 18110331 19111728 19134000 19908050 20122590 20444400 21464096 21500694 21525750 22716000 22960800 23889660 24147108 25555500 26830120 28667592 28701000 29862075 30183885 31852880 32196144 32251041 33537650 34074000 34441200 35834490 36220662 38223456 38268000 39816100 40245180 40888800 43001388 43051500 47779320 48294216 49770125 50306475 51111000 53660240 53751735 54330993 57335184 57402000 59724150 60367770 63705760 64392288 64502082 67075300 68148000 68882400 71668980 72441324 79632200 80490360 83844125 86002776 86103000 89586225 90551655 95558640 96588432 99540250 100612950 102222000 107320480 107503470 108661986 114670368 114804000 119448300 120735540 129004164 134150600 143337960 144882648 149310375 150919425 159264400 160980720 161255205 167688250 172005552 172206000 179172450 181103310 191117280 193176864 199080500 201225900 204444000 215006940 217323972 238896600 241471080 251532375 258008328 268301200 268758675 271654965 286675920 289765296 298620750 301838850 318528800 321961440 322510410 335376500 344011104 344412000 358344900 362206620 398161000 402451800 423245143 430013880 434647944 447931125 452758275 477793200 482942160 503064750 516016656 536602400 537517350 543309930 573351840 579530592 597241500 603677700 645020820 670753000 716689800 724413240 754597125 796322000 804903600 806276025 846490286 860027760 869295888 895862250 905516550 955586400 965884320 1006129500 1032033312 1075034700 1086619860 1194483000 1207355400 1269735429 1290041640 1341506000 1343793375 1358274825 1433379600 1448826480 1509194250 1592644000 1609807200 1612552050 1692980572 1720055520 1738591776 1791724500 1811033100 2012259000 2116225715 2150069400 2173239720 2263791375 2388966000 2414710800 2539470858 2580083280 2683012000 2687586750 2716549650 2866759200 2897652960 3018388500 3225104100 3385961144 3583449000 3622066200 3809206287 4024518000 4031380125 4232451430 4300138800 4346479440 4527582750 4777932000 4829421600 5078941716 5160166560 5375173500 5433099300 6036777000 6348677145 6450208200 6771922288 6791374125 7166898000 7244132400 7618412574 8049036000 8062760250 8464902860 8600277600 8692958880 9055165500 10157883432 10581128575 10750347000 10866198600 11427618861 12073554000 12697354290 12900416400 13543844576 13582748250 14333796000 14488264800 15236825148 16125520500 16929805720 18110331000 19046031435 20315766864 21162257150 21500694000 21732397200 22855237722 24147108000 25394708580 25800832800 27165496500 30473650296 31743385725 32251041000 33859611440 34282856583 36220662000 38092062870 40631533728 42324514300 43001388000 43464794400 45710475444 50789417160 52905642875 54330993000 57138094305 60947300592 63486771450 64502082000 67719222880 68565713166 72441324000 76184125740 84649028600 91420950888 95230157175 101578834320 105811285750 108661986000 114276188610 121894601184 126973542900 129004164000 137131426332 152368251480 158716928625 169298057200 171414282915 182841901776 190460314350 203157668640 211622571500 217323972000 228552377220 253947085800 274262852664 285690471525 304736502960 317433857250 338596114400 342828565830 365683803552 380920628700 423245143000 457104754440 476150785875 507894171600 548525705328 571380943050 609473005920 634867714500 685657131660 761841257400 846490286000 857071414575 914209508880 952301571750 1015788343200 1097051410656 1142761886100 1269735429000 1371314263320 1428452357625 1523682514800 1692980572000 1714142829150 1828419017760 1904603143500 2285523772200 2539470858000 2742628526640 2856904715250 3047365029600 3428285658300 3809206287000 4285357072875 4571047544400 5078941716000 5485257053280 5713809430500 6856571316600 7618412574000 8570714145750 9142095088800 11427618861000 13713142633200 15236825148000 17141428291500 22855237722000 27426285266400 34282856583000 45710475444000 68565713166000 137131426332000
• Sum of all divisors σ(n): 504591200489376
• Sum of proper divisors (its aliquot sum) s(n): 367459774157376
• 137131426332000 is an abundant number, because the sum of its proper divisors (367459774157376) is greater than itself. Its abundance is 230328347825376

Bases of 137131426332000

• Binary: 11111001011100001100101111101000011110101100000₂
• Hexadecimal: 0x7CB865F43D60
• Base-36: 1CLXB2LY00

Squares and roots of 137131426332000

• 137131426332000 squared (137131426332000²) is 18805028087848742974224000000
• 137131426332000 cubed (137131426332000³) is 2578760323900020721528601030866368000000000
• The square root of 137131426332000 is 11710312.8195620803
• The cube root of 137131426332000 is 51567.8467750807

Scales and comparisons

• 137,131,426,332,000 seconds is equal to 4,360,355 years, 9 weeks, 3 days, 6 hours.
• To count from 1 to 137,131,426,332,000 would take you about ten million, nine hundred thousand, eight hundred eighty-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 137131426332000 cubic inches would be around 4297.3 feet tall.

Recreational maths with 137131426332000

• 137131426332000 backwards is 000233624131731
• 137131426332000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137131426332000's digits is 36
• More coming soon!