137314440000

Names of 137314440000

• Cardinal: 137314440000 can be written as One hundred thirty-seven billion, three hundred fourteen million, four hundred forty thousand.

Scientific notation

• Scientific notation: 1.3731444 × 10¹¹

Factors of 137314440000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 304

Divisors of 137314440000

• Number of divisors d(n): 980
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 125 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 243 250 255 270 272 277 288 300 306 320 324 340 360 375 400 405 408 425 432 450 459 480 486 500 510 540 544 554 576 600 612 625 648 675 680 720 729 750 765 800 810 816 831 850 864 900 918 960 972 1000 1020 1080 1088 1108 1125 1200 1215 1224 1250 1275 1296 1350 1360 1377 1385 1440 1458 1500 1530 1600 1620 1632 1662 1700 1728 1800 1836 1875 1944 2000 2025 2040 2125 2160 2216 2250 2295 2400 2430 2448 2493 2500 2550 2592 2700 2720 2754 2770 2880 2916 3000 3060 3240 3264 3324 3375 3400 3600 3645 3672 3750 3825 3888 4000 4050 4080 4131 4155 4250 4320 4432 4500 4590 4709 4800 4860 4896 4986 5000 5100 5184 5400 5440 5508 5540 5625 5832 6000 6075 6120 6375 6480 6648 6750 6800 6885 6925 7200 7290 7344 7479 7500 7650 7776 8000 8100 8160 8262 8310 8500 8640 8864 9000 9180 9418 9720 9792 9972 10000 10125 10200 10625 10800 11016 11080 11250 11475 11664 12000 12150 12240 12393 12465 12750 12960 13296 13500 13600 13770 13850 14127 14400 14580 14688 14958 15000 15300 15552 16200 16320 16524 16620 16875 17000 17728 18000 18225 18360 18836 19125 19440 19944 20000 20250 20400 20655 20775 21250 21600 22032 22160 22437 22500 22950 23328 23545 24000 24300 24480 24786 24930 25500 25920 26592 27000 27200 27540 27700 28254 29160 29376 29916 30000 30375 30600 31875 32400 33048 33240 33750 34000 34425 34625 36000 36450 36720 37395 37672 38250 38880 39888 40000 40500 40800 41310 41550 42381 42500 43200 44064 44320 44874 45000 45900 46656 47090 48600 48960 49572 49860 50625 51000 53184 54000 55080 55400 56508 57375 58320 59832 60000 60750 61200 61965 62325 63750 64800 66096 66480 67311 67500 68000 68850 69250 70635 72000 72900 73440 74790 75344 76500 77760 79776 81000 81600 82620 83100 84762 85000 88128 88640 89748 90000 91125 91800 94180 95625 97200 99144 99720 101250 102000 103275 103875 108000 110160 110800 112185 113016 114750 116640 117725 119664 120000 121500 122400 123930 124650 127143 127500 129600 132192 132960 134622 135000 136000 137700 138500 141270 145800 146880 149580 150688 151875 153000 159552 162000 165240 166200 169524 170000 172125 173125 179496 180000 182250 183600 186975 188360 191250 194400 198288 199440 201933 202500 204000 206550 207750 211905 216000 220320 221600 224370 226032 229500 233280 235450 239328 243000 244800 247860 249300 254286 255000 264384 265920 269244 270000 275400 277000 282540 286875 291600 299160 301376 303750 306000 309825 311625 324000 330480 332400 336555 339048 340000 344250 346250 353175 358992 360000 364500 367200 373950 376720 381429 382500 388800 396576 398880 403866 405000 408000 413100 415500 423810 440640 443200 448740 452064 455625 459000 470900 478656 486000 495720 498600 508572 510000 516375 519375 538488 540000 550800 554000 560925 565080 573750 583200 588625 598320 607500 612000 619650 623250 635715 648000 660960 664800 673110 678096 680000 688500 692500 706350 717984 729000 734400 747900 753440 762858 765000 793152 797760 807732 810000 826200 831000 847620 860625 897480 904128 911250 918000 934875 941800 972000 991440 997200 1009665 1017144 1020000 1032750 1038750 1059525 1076976 1080000 1101600 1108000 1121850 1130160 1144287 1147500 1166400 1177250 1196640 1215000 1224000 1239300 1246500 1271430 1321920 1329600 1346220 1356192 1377000 1385000 1412700 1435968 1458000 1495800 1506880 1525716 1530000 1549125 1558125 1615464 1620000 1652400 1662000 1682775 1695240 1721250 1765875 1794960 1822500 1836000 1869750 1883600 1907145 1944000 1982880 1994400 2019330 2034288 2040000 2065500 2077500 2119050 2153952 2203200 2216000 2243700 2260320 2288574 2295000 2354500 2393280 2430000 2478600 2493000 2542860 2581875 2692440 2712384 2754000 2770000 2804625 2825400 2916000 2943125 2991600 3051432 3060000 3098250 3116250 3178575 3230928 3240000 3304800 3324000 3365550 3390480 3432861 3442500 3531750 3589920 3645000 3672000 3739500 3767200 3814290 3965760 3988800 4038660 4068576 4131000 4155000 4238100 4307904 4487400 4520640 4577148 4590000 4674375 4709000 4860000 4957200 4986000 5048325 5085720 5163750 5297625 5384880 5508000 5540000 5609250 5650800 5721435 5832000 5886250 5983200 6102864 6120000 6196500 6232500 6357150 6461856 6609600 6648000 6731100 6780960 6865722 6885000 7063500 7179840 7290000 7479000 7534400 7628580 7745625 8077320 8137152 8262000 8310000 8413875 8476200 8829375 8974800 9154296 9180000 9348750 9418000 9535725 9720000 9914400 9972000 10096650 10171440 10327500 10595250 10769760 11016000 11080000 11218500 11301600 11442870 11772500 11966400 12205728 12393000 12465000 12714300 12923712 13462200 13561920 13731444 13770000 14023125 14127000 14580000 14958000 15257160 15491250 15892875 16154640 16524000 16620000 16827750 16952400 17164305 17658750 17949600 18308592 18360000 18697500 18836000 19071450 19828800 19944000 20193300 20342880 20655000 21190500 21539520 22437000 22603200 22885740 23545000 24411456 24786000 24930000 25241625 25428600 26488125 26924400 27462888 27540000 28046250 28254000 28607175 29160000 29916000 30514320 30982500 31785750 32309280 33048000 33240000 33655500 33904800 34328610 35317500 35899200 36617184 37395000 37672000 38142900 40386600 40685760 41310000 42069375 42381000 44874000 45771480 47090000 47678625 49572000 49860000 50483250 50857200 52976250 53848800 54925776 55080000 56092500 56508000 57214350 59832000 61028640 61965000 63571500 64618560 67311000 67809600 68657220 70635000 73234368 74790000 76285800 79464375 80773200 82620000 84138750 84762000 85821525 89748000 91542960 94180000 95357250 99144000 99720000 100966500 101714400 105952500 107697600 109851552 112185000 113016000 114428700 122057280 123930000 126208125 127143000 134622000 137314440 141270000 143035875 149580000 152571600 158928750 161546400 165240000 168277500 169524000 171643050 179496000 183085920 188360000 190714500 201933000 203428800 211905000 219703104 224370000 228857400 238393125 247860000 252416250 254286000 269244000 274628880 282540000 286071750 299160000 305143200 317857500 323092800 336555000 339048000 343286100 366171840 381429000 403866000 423810000 429107625 448740000 457714800 476786250 495720000 504832500 508572000 538488000 549257760 565080000 572143500 610286400 635715000 673110000 686572200 715179375 762858000 807732000 847620000 858215250 897480000 915429600 953572500 1009665000 1017144000 1098515520 1144287000 1271430000 1346220000 1373144400 1430358750 1525716000 1615464000 1695240000 1716430500 1830859200 1907145000 2019330000 2145538125 2288574000 2542860000 2692440000 2746288800 2860717500 3051432000 3432861000 3814290000 4038660000 4291076250 4577148000 5085720000 5492577600 5721435000 6865722000 7628580000 8077320000 8582152500 9154296000 11442870000 13731444000 15257160000 17164305000 22885740000 27462888000 34328610000 45771480000 68657220000 137314440000
• Sum of all divisors σ(n): 542490600564
• Sum of proper divisors (its aliquot sum) s(n): 405176160564
• 137314440000 is an abundant number, because the sum of its proper divisors (405176160564) is greater than itself. Its abundance is 267861720564

Bases of 137314440000

• Binary: 1111111111000100101000001001101000000₂
• Hexadecimal: 0x1FF8941340
• Base-36: 1R2XH000

Squares and roots of 137314440000

• 137314440000 squared (137314440000²) is 18855255432513600000000
• 137314440000 cubed (137314440000³) is 2589098840772562776384000000000000
• The square root of 137314440000 is 370559.6308288317
• The cube root of 137314440000 is 5159.0777150981

Scales and comparisons

• 137,314,440,000 seconds is equal to 4,366 years, 9 weeks, 12 hours.
• To count from 1 to 137,314,440,000 would take you about eight thousand, seven hundred thirty-two 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 137314440000 cubic inches would be around 429.9 feet tall.

Recreational maths with 137314440000

• 137314440000 backwards is 000044413731
• 137314440000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137314440000's digits is 27
• More coming soon!