137968175407112000

Names of 137968175407112000

• Cardinal: 137968175407112000 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-eight trillion, one hundred seventy-five billion, four hundred seven million, one hundred twelve thousand.

Scientific notation

• Scientific notation: 1.37968175407112 × 10¹⁷

Factors of 137968175407112000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1259

Divisors of 137968175407112000

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 200 236 250 295 320 400 472 500 590 800 944 1000 1180 1193 1475 1600 1888 2000 2360 2386 2950 3481 3776 4000 4720 4772 5900 5965 6962 7375 8000 9440 9544 11800 11930 13924 14750 17405 18880 19088 23600 23860 27848 29500 29825 34810 38176 47200 47720 55696 59000 59650 69620 70387 76352 87025 94400 95440 111392 118000 119300 139240 140774 149125 174050 190880 205379 222784 236000 238600 278480 281548 298250 348100 351935 381760 410758 435125 472000 477200 556960 563096 596500 696200 703870 821516 870250 954400 1026895 1113920 1126192 1193000 1392400 1407740 1423249 1643032 1740500 1759675 1908800 2053790 2252384 2386000 2784800 2815480 2846498 3286064 3481000 3519350 4107580 4152833 4504768 4772000 5134475 5569600 5630960 5692996 6572128 6962000 7038700 7116245 8215160 8305666 8798375 9544000 10268950 11261920 11385992 12117361 13144256 13924000 14077400 14232490 16430320 16611332 17596750 20537900 20764165 22523840 22771984 24234722 25672375 27848000 28154800 28464980 32860640 33222664 35193500 35581225 41075800 41528330 45543968 48469444 51344750 56309600 56929960 60586805 65721280 66445328 70387000 71162450 82151600 83056660 83971691 91087936 96938888 102689500 103820825 112619200 113859920 121173610 132890656 140774000 142324900 164303200 166113320 167943382 177906125 193877776 205379000 207641650 227719840 242347220 245017147 265781312 281548000 284649800 302934025 328606400 332226640 335886764 355812250 387755552 410758000 415283300 419858455 455439680 484694440 490034294 519104125 563096000 569299600 605868050 664453280 671773528 711624500 775511104 821516000 830566600 839716910 969388880 980068588 1038208250 1138599200 1211736100 1225085735 1328906560 1343547056 1423249000 1514670125 1643032000 1661133200 1679433820 1938777760 1960137176 2076416500 2099292275 2277198400 2423472200 2450171470 2687094112 2846498000 3029340250 3322266400 3358867640 3877555520 3920274352 4152833000 4198584550 4846944400 4900342940 4954329769 5374188224 5692996000 6058680500 6125428675 6644532800 6717735280 7840548704 8305666000 8397169100 9693888800 9800685880 9908659538 10496461375 11385992000 12117361000 12250857350 13435470560 14456011673 15681097408 16611332000 16794338200 19387777600 19601371760 19817319076 20992922750 24234722000 24501714700 24771648845 26870941120 28912023346 30627143375 33222664000 33588676400 39202743520 39634638152 41985845500 48469444000 49003429400 49543297690 57824046692 61254286750 67177352800 72280058365 78405487040 79269276304 83971691000 96938888000 98006858800 99086595380 115648093384 122508573500 123858244225 134354705600 144560116730 158538552608 167943382000 196013717600 198173190760 231296186768 245017147000 247716488450 289120233460 292305456371 317077105216 335886764000 361400291825 392027435200 396346381520 462592373536 490034294000 495432976900 578240466920 584610912742 619291221125 671773528000 722800583650 792692763040 925184747072 980068588000 990865953800 1156480933840 1169221825484 1238582442250 1445601167300 1461527281855 1585385526080 1807001459125 1960137176000 1981731907600 2312961867680 2338443650968 2477164884500 2891202334600 2923054563710 3614002918250 3963463815200 4625923735360 4676887301936 4954329769000 5782404669200 5846109127420 7228005836500 7307636409275 7926927630400 9353774603872 9908659538000 11564809338400 11692218254840 14456011673000 14615272818550 17246021925889 18707549207744 19817319076000 23129618676800 23384436509680 28912023346000 29230545637100 34492043851778 36538182046375 39634638152000 46768873019360 57824046692000 58461091274200 68984087703556 73076364092750 86230109629445 93537746038720 115648093384000 116922182548400 137968175407112 146152728185500 172460219258890 233844365096800 275936350814224 292305456371000 344920438517780 431150548147225 467688730193600 551872701628448 584610912742000 689840877035560 862301096294450 1103745403256896 1169221825484000 1379681754071120 1724602192588900 2155752740736125 2338443650968000 2759363508142240 3449204385177800 4311505481472250 5518727016284480 6898408770355600 8623010962944500 13796817540711200 17246021925889000 27593635081422400 34492043851778000 68984087703556000 137968175407112000
• Sum of all divisors σ(n): 347860773808601196
• Sum of proper divisors (its aliquot sum) s(n): 209892598401489196
• 137968175407112000 is an abundant number, because the sum of its proper divisors (209892598401489196) is greater than itself. Its abundance is 71924422994377196

Bases of 137968175407112000

• Binary: 111101010001010010101001100010101011100110001111101000000₂
• Hexadecimal: 0x1EA295315731F40
• Base-36: 11QHMWSCO2M8

Squares and roots of 137968175407112000

• 137968175407112000 squared (137968175407112000²) is 19035217425167624486940180544000000
• 137968175407112000 cubed (137968175407112000³) is 2626254216628041655943289983953377981628928000000000
• The square root of 137968175407112000 is 371440675.4881753657
• The cube root of 137968175407112000 is 516725.1979471497

Scales and comparisons

• 137,968,175,407,112,000 seconds is equal to 4,386,961,214 years, 18 weeks, 4 days, 18 hours, 13 minutes, 20 seconds.
• To count from 1 to 137,968,175,407,112,000 would take you about thirteen billion, one hundred sixty million, eight hundred eighty-three thousand, six hundred forty-three 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 137968175407112000 cubic inches would be around 43060.4 feet tall.

Recreational maths with 137968175407112000

• 137968175407112000 backwards is 000211704571869731
• The number of decimal digits it has is: 18
• The sum of 137968175407112000's digits is 62
• More coming soon!