34138777440000

Names of 34138777440000

• Cardinal: 34138777440000 can be written as Thirty-four trillion, one hundred thirty-eight billion, seven hundred seventy-seven million, four hundred forty thousand.

Scientific notation

• Scientific notation: 3.413877744 × 10¹³

Factors of 34138777440000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 8677

Divisors of 34138777440000

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 64 75 76 80 95 96 100 114 120 125 128 150 152 160 190 192 200 228 240 250 256 285 300 304 320 375 380 384 400 456 457 475 480 500 570 600 608 625 640 750 760 768 800 912 914 950 960 1000 1140 1200 1216 1250 1280 1371 1425 1500 1520 1600 1824 1828 1875 1900 1920 2000 2280 2285 2375 2400 2432 2500 2742 2850 3000 3040 3200 3648 3656 3750 3800 3840 4000 4560 4570 4750 4800 4864 5000 5484 5700 6000 6080 6400 6855 7125 7296 7312 7500 7600 8000 8191 8683 9120 9140 9500 9600 10000 10968 11400 11425 11875 12000 12160 13710 14250 14592 14624 15000 15200 16000 16382 17366 18240 18280 19000 19200 20000 21936 22800 22850 23750 24000 24320 24573 26049 27420 28500 29248 30000 30400 32000 32764 34275 34732 35625 36480 36560 38000 40000 40955 43415 43872 45600 45700 47500 48000 49146 52098 54840 57000 57125 58496 60000 60800 65528 68550 69464 71250 72960 73120 76000 80000 81910 86830 87744 91200 91400 95000 96000 98292 104196 109680 114000 114250 116992 120000 121600 122865 130245 131056 137100 138928 142500 146240 152000 155629 160000 163820 171375 173660 175488 182400 182800 190000 196584 204775 208392 217075 219360 228000 228500 240000 245730 260490 262112 274200 277856 285000 285625 292480 304000 311258 327640 342750 347320 350976 364800 365600 380000 393168 409550 416784 434150 438720 456000 457000 466887 480000 491460 520980 524224 548400 555712 570000 571250 584960 608000 614325 622516 651225 655280 685500 694640 731200 760000 778145 786336 819100 833568 856875 868300 877440 912000 914000 933774 982920 1023875 1041960 1048448 1085375 1096800 1111424 1140000 1142500 1228650 1245032 1302450 1310560 1371000 1389280 1462400 1520000 1556290 1572672 1638200 1667136 1713750 1736600 1754880 1824000 1828000 1867548 1965840 2047750 2083920 2096896 2170750 2193600 2222848 2280000 2285000 2334435 2457300 2490064 2604900 2621120 2742000 2778560 2924800 3040000 3071625 3112580 3145344 3256125 3276400 3334272 3427500 3473200 3656000 3735096 3743287 3890725 3931680 4095500 4167840 4341500 4387200 4560000 4570000 4668870 4914600 4980128 5119375 5209800 5242240 5426875 5484000 5557120 6143250 6225160 6290688 6512250 6552800 6668544 6855000 6946400 7312000 7470192 7486574 7781450 7863360 8191000 8335680 8683000 8774400 9120000 9140000 9337740 9829200 9960256 10238750 10419600 10484480 10853750 10968000 11114240 11229861 11672175 12286500 12450320 13024500 13105600 13710000 13892800 14624000 14940384 14973148 15358125 15562900 15726720 16280625 16382000 16671360 17366000 18280000 18675480 18716435 19453625 19658400 19920512 20477500 20839200 21707500 21936000 22459722 23344350 24573000 24900640 26049000 26211200 27420000 27785600 29880768 29946296 30716250 31125800 31453440 32561250 32764000 33342720 34732000 36560000 37350960 37432870 38907250 39316800 39841024 40955000 41678400 43415000 43872000 44919444 46688700 49146000 49801280 52098000 52422400 54840000 55571200 56149305 58360875 59761536 59892592 61432500 62251600 65122500 65528000 69464000 71122453 73120000 74701920 74865740 77814500 78633600 81910000 83356800 86830000 89838888 93377400 93582175 97268125 98292000 99602560 104196000 109680000 112298610 116721750 119523072 119785184 122865000 124503200 130245000 131056000 138928000 142244906 149403840 149731480 155629000 157267200 163820000 166713600 173660000 179677776 186754800 187164350 194536250 196584000 199205120 208392000 213367359 219360000 224597220 233443500 239570368 245730000 249006400 260490000 262112000 277856000 280746525 284489812 291804375 298807680 299462960 311258000 327640000 347320000 355612265 359355552 373509600 374328700 389072500 393168000 416784000 426734718 449194440 466887000 467910875 479140736 491460000 498012800 520980000 561493050 568979624 583608750 597615360 598925920 622516000 655280000 694640000 711224530 718711104 747019200 748657400 778145000 786336000 833568000 853469436 898388880 933774000 935821750 958281472 982920000 996025600 1041960000 1066836795 1122986100 1137959248 1167217500 1197851840 1245032000 1310560000 1389280000 1403732625 1422449060 1437422208 1494038400 1497314800 1556290000 1706938872 1778061325 1796777760 1867548000 1871643500 1965840000 2083920000 2133673590 2245972200 2275918496 2334435000 2339554375 2395703680 2490064000 2807465250 2844898120 2874844416 2988076800 2994629600 3112580000 3413877744 3556122650 3593555520 3735096000 3743287000 3931680000 4167840000 4267347180 4491944400 4551836992 4668870000 4679108750 4791407360 4980128000 5334183975 5614930500 5689796240 5989259200 6225160000 6827755488 7018663125 7112245300 7187111040 7470192000 7486574000 8534694360 8890306625 8983888800 9103673984 9337740000 9358217500 10668367950 11229861000 11379592480 11978518400 12450320000 13655510976 14037326250 14224490600 14374222080 14940384000 14973148000 17069388720 17780613250 17967777600 18207347968 18675480000 18716435000 21336735900 22459722000 22759184960 23957036800 24900640000 26670919875 27311021952 28074652500 28448981200 29946296000 34138777440 35561226500 35935555200 37350960000 37432870000 42673471800 44451533125 44919444000 45518369920 53341839750 54622043904 56149305000 56897962400 59892592000 68277554880 71122453000 71871110400 74701920000 74865740000 85346943600 88903066250 89838888000 91036739840 106683679500 112298610000 113795924800 119785184000 133354599375 136555109760 142244906000 149731480000 170693887200 177806132500 179677776000 213367359000 224597220000 227591849600 266709198750 273110219520 284489812000 299462960000 341387774400 355612265000 359355552000 426734718000 449194440000 455183699200 533418397500 568979624000 598925920000 682775548800 711224530000 853469436000 898388880000 1066836795000 1137959248000 1365551097600 1422449060000 1706938872000 1796777760000 2133673590000 2275918496000 2844898120000 3413877744000 4267347180000 5689796240000 6827755488000 8534694360000 11379592480000 17069388720000 34138777440000
• Sum of all divisors σ(n): 119789111214080
• Sum of proper divisors (its aliquot sum) s(n): 85650333774080
• 34138777440000 is an abundant number, because the sum of its proper divisors (85650333774080) is greater than itself. Its abundance is 51511556334080

Bases of 34138777440000

• Binary: 111110000110010001101101100111100111100000000₂
• Hexadecimal: 0x1F0C8DB3CF00
• Base-36: C3N4YNF9C

Squares and roots of 34138777440000

• 34138777440000 squared (34138777440000²) is 1165456125097852953600000000
• 34138777440000 cubed (34138777440000³) is 39787247270800400204797046784000000000000
• The square root of 34138777440000 is 5842839.8437746007
• The cube root of 34138777440000 is 32440.1351428589

Scales and comparisons

• 34,138,777,440,000 seconds is equal to 1,085,507 years, 27 weeks, 1 day, 21 hours, 20 minutes.
• To count from 1 to 34,138,777,440,000 would take you about two million, seven hundred thirteen thousand, seven hundred sixty-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 34138777440000 cubic inches would be around 2703.3 feet tall.

Recreational maths with 34138777440000

• 34138777440000 backwards is 00004477783143
• 34138777440000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34138777440000's digits is 48
• More coming soon!