137385436672000

Names of 137385436672000

• Cardinal: 137385436672000 can be written as One hundred thirty-seven trillion, three hundred eighty-five billion, four hundred thirty-six million, six hundred seventy-two thousand.

Scientific notation

• Scientific notation: 1.37385436672 × 10¹⁴

Factors of 137385436672000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 467

Divisors of 137385436672000

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 128 160 176 200 220 242 250 256 275 320 352 400 440 449 484 500 512 550 605 640 704 800 880 898 968 1000 1024 1100 1210 1280 1331 1375 1408 1600 1760 1796 1936 2000 2048 2200 2245 2420 2560 2662 2750 2816 3025 3200 3520 3592 3872 4000 4096 4400 4490 4840 4939 5120 5324 5500 5632 6050 6400 6655 7040 7184 7744 8000 8800 8980 9680 9878 10240 10648 11000 11225 11264 12100 12800 13310 14080 14368 15125 15488 16000 17600 17960 19360 19756 20480 21296 22000 22450 22528 24200 24695 25600 26620 28160 28736 30250 30976 32000 33275 35200 35920 38720 39512 42592 44000 44900 45056 48400 49390 51200 53240 54329 56125 56320 57472 60500 61952 64000 66550 70400 71840 77440 79024 85184 88000 89800 96800 98780 102400 106480 108658 112250 112640 114944 121000 123475 123904 128000 133100 140800 143680 154880 158048 166375 170368 176000 179600 193600 197560 201601 212960 217316 224500 225280 229888 242000 246950 247808 256000 266200 271645 281600 287360 309760 316096 332750 340736 352000 359200 387200 395120 403202 425920 434632 449000 459776 484000 493900 495616 512000 532400 543290 563200 574720 597619 617375 619520 632192 665500 681472 704000 718400 774400 790240 806404 851840 869264 898000 919552 968000 987800 1008005 1064800 1086580 1126400 1149440 1195238 1234750 1239040 1264384 1331000 1358225 1362944 1408000 1436800 1548800 1580480 1612808 1703680 1738528 1796000 1839104 1936000 1975600 2016010 2129600 2173160 2217611 2298880 2390476 2469500 2478080 2528768 2662000 2716450 2725888 2816000 2873600 2988095 3097600 3160960 3225616 3407360 3477056 3592000 3872000 3951200 4032020 4259200 4346320 4435222 4597760 4780952 4939000 5040025 5057536 5324000 5432900 5451776 5632000 5747200 5976190 6195200 6321920 6451232 6791125 6814720 6954112 7184000 7744000 7902400 8064040 8518400 8692640 8870444 9195520 9561904 9878000 10080050 10115072 10648000 10865800 11088055 11494400 11952380 12390400 12643840 12902464 13582250 13629440 13908224 14368000 14940475 15488000 15804800 16128080 17036800 17385280 17740888 19123808 19756000 20160100 20230144 21296000 21731600 22176110 22988800 23904760 24393721 25200125 25287680 25804928 27164500 27258880 27816448 28736000 29880950 30976000 31609600 32256160 34073600 34770560 35481776 38247616 39512000 40320200 42592000 43463200 44352220 45977600 47809520 48787442 50400250 50575360 51609856 54329000 55440275 55632896 57472000 59761900 61952000 63219200 64512320 68147200 69541120 70963552 74702375 76495232 79024000 80640400 85184000 86926400 88704440 95619040 97574884 100800500 101150720 103219712 108658000 110880550 111265792 114944000 119523800 121968605 126438400 129024640 136294400 139082240 141927104 149404750 152990464 158048000 161280800 170368000 173852800 177408880 191238080 195149768 201601000 206439424 217316000 221761100 222531584 229888000 239047600 243937210 252876800 258049280 268330931 277201375 278164480 283854208 298809500 305980928 316096000 322561600 340736000 347705600 354817760 382476160 390299536 403202000 412878848 434632000 443522200 478095200 487874420 505753600 516098560 536661862 554402750 556328960 567708416 597619000 609843025 611961856 632192000 645123200 681472000 695411200 709635520 764952320 780599072 806404000 825757696 869264000 887044400 956190400 975748840 1032197120 1073323724 1108805500 1112657920 1135416832 1195238000 1219686050 1223923712 1264384000 1290246400 1341654655 1390822400 1419271040 1529904640 1561198144 1612808000 1738528000 1774088800 1912380800 1951497680 2064394240 2146647448 2217611000 2270833664 2390476000 2439372100 2447847424 2528768000 2580492800 2683309310 2781644800 2838542080 3049215125 3059809280 3122396288 3225616000 3477056000 3548177600 3824761600 3902995360 4128788480 4293294896 4435222000 4541667328 4780952000 4878744200 5160985600 5366618620 5563289600 5677084160 6098430250 6119618560 6244792576 6451232000 6708273275 6954112000 7096355200 7649523200 7805990720 8586589792 8870444000 9083334656 9561904000 9757488400 10321971200 10733237240 11354168320 12196860500 12239237120 12489585152 12902464000 13416546550 13908224000 14192710400 15299046400 15611981440 17173179584 17740888000 19123808000 19514976800 20643942400 21466474480 22708336640 24393721000 24979170304 25804928000 26833093100 27816448000 28385420800 30598092800 31223962880 33541366375 34346359168 35481776000 38247616000 39029953600 42932948960 45416673280 48787442000 49958340608 51609856000 53666186200 56770841600 61196185600 62447925760 67082732750 68692718336 70963552000 76495232000 78059907200 85865897920 97574884000 99916681216 103219712000 107332372400 113541683200 124895851520 134165465500 137385436672 141927104000 152990464000 156119814400 171731795840 195149768000 214664744800 227083366400 249791703040 268330931000 274770873344 283854208000 305980928000 312239628800 343463591680 390299536000 429329489600 499583406080 536661862000 549541746688 567708416000 624479257600 686927183360 780599072000 858658979200 1073323724000 1099083493376 1135416832000 1248958515200 1373854366720 1561198144000 1717317958400 2146647448000 2497917030400 2747708733440 3122396288000 3434635916800 4293294896000 5495417466880 6244792576000 6869271833600 8586589792000 12489585152000 13738543667200 17173179584000 27477087334400 34346359168000 68692718336000 137385436672000
• Sum of all divisors σ(n): 377975460848544
• Sum of proper divisors (its aliquot sum) s(n): 240590024176544
• 137385436672000 is an abundant number, because the sum of its proper divisors (240590024176544) is greater than itself. Its abundance is 103204587504544

Bases of 137385436672000

• Binary: 11111001111001110001010001001100111000000000000₂
• Hexadecimal: 0x7CF38A267000
• Base-36: 1CP5ZXT2PS

Squares and roots of 137385436672000

• 137385436672000 squared (137385436672000²) is 18874758209556122435584000000
• 137385436672000 cubed (137385436672000³) is 2593116898698284764103804031336448000000000
• The square root of 137385436672000 is 11721153.3848849537
• The cube root of 137385436672000 is 51599.6670691417

Scales and comparisons

• 137,385,436,672,000 seconds is equal to 4,368,431 years, 48 weeks, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 137,385,436,672,000 would take you about ten million, nine hundred twenty-one thousand and seventy-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 137385436672000 cubic inches would be around 4300 feet tall.

Recreational maths with 137385436672000

• 137385436672000 backwards is 000276634583731
• 137385436672000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137385436672000's digits is 55
• More coming soon!