137786399146377216

Names of 137786399146377216

• Cardinal: 137786399146377216 can be written as One hundred thirty-seven quadrillion, seven hundred eighty-six trillion, three hundred ninety-nine billion, one hundred forty-six million, three hundred seventy-seven thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.37786399146377216 × 10¹⁷

Factors of 137786399146377216

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 46
• Sum of prime factors: 64

Divisors of 137786399146377216

• Number of divisors d(n): 387
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1024 1062 1152 1416 1536 1888 2048 2124 2304 2832 3072 3481 3776 4096 4248 4608 5664 6144 6962 7552 8192 8496 9216 10443 11328 12288 13924 15104 16384 16992 18432 20886 22656 24576 27848 30208 31329 32768 33984 36864 41772 45312 49152 55696 60416 62658 65536 67968 73728 83544 90624 98304 111392 120832 125316 131072 135936 147456 167088 181248 196608 222784 241664 250632 262144 271872 294912 334176 362496 393216 445568 483328 501264 524288 543744 589824 668352 724992 786432 891136 966656 1002528 1048576 1087488 1179648 1336704 1449984 1572864 1782272 1933312 2005056 2097152 2174976 2359296 2673408 2899968 3145728 3564544 3866624 4010112 4194304 4349952 4718592 5346816 5799936 6291456 7129088 7733248 8020224 8388608 8699904 9437184 10693632 11599872 12582912 14258176 15466496 16040448 16777216 17399808 18874368 21387264 23199744 25165824 28516352 30932992 32080896 33554432 34799616 37748736 42774528 46399488 50331648 57032704 61865984 64161792 67108864 69599232 75497472 85549056 92798976 100663296 114065408 123731968 128323584 134217728 139198464 150994944 171098112 185597952 201326592 228130816 247463936 256647168 268435456 278396928 301989888 342196224 371195904 402653184 456261632 494927872 513294336 536870912 556793856 603979776 684392448 742391808 805306368 912523264 989855744 1026588672 1073741824 1113587712 1207959552 1368784896 1484783616 1610612736 1825046528 1979711488 2053177344 2147483648 2227175424 2415919104 2737569792 2969567232 3221225472 3650093056 3959422976 4106354688 4294967296 4454350848 4831838208 5475139584 5939134464 6442450944 7300186112 7918845952 8212709376 8589934592 8908701696 9663676416 10950279168 11878268928 12884901888 14600372224 15837691904 16425418752 17179869184 17817403392 19327352832 21900558336 23756537856 25769803776 29200744448 31675383808 32850837504 34359738368 35634806784 38654705664 43801116672 47513075712 51539607552 58401488896 63350767616 65701675008 68719476736 71269613568 77309411328 87602233344 95026151424 103079215104 116802977792 126701535232 131403350016 137438953472 142539227136 154618822656 175204466688 190052302848 206158430208 233605955584 253403070464 262806700032 274877906944 285078454272 309237645312 350408933376 380104605696 412316860416 467211911168 506806140928 525613400064 549755813888 570156908544 618475290624 700817866752 760209211392 824633720832 934423822336 1013612281856 1051226800128 1099511627776 1140313817088 1236950581248 1401635733504 1520418422784 1649267441664 1868847644672 2027224563712 2102453600256 2199023255552 2280627634176 2473901162496 2803271467008 3040836845568 3298534883328 3737695289344 4054449127424 4204907200512 4398046511104 4561255268352 4947802324992 5606542934016 6081673691136 6597069766656 7475390578688 8108898254848 8409814401024 9122510536704 9895604649984 11213085868032 12163347382272 13194139533312 14950781157376 16217796509696 16819628802048 18245021073408 19791209299968 22426171736064 24326694764544 29901562314752 32435593019392 33639257604096 36490042146816 39582418599936 44852343472128 48653389529088 59803124629504 64871186038784 67278515208192 72980084293632 89704686944256 97306779058176 119606249259008 129742372077568 134557030416384 145960168587264 179409373888512 194613558116352 239212498518016 259484744155136 269114060832768 291920337174528 358818747777024 389227116232704 478424997036032 538228121665536 583840674349056 717637495554048 778454232465408 956849994072064 1076456243331072 1167681348698112 1435274991108096 1913699988144128 2152912486662144 2335362697396224 2870549982216192 3827399976288256 4305824973324288 5741099964432384 7654799952576512 8611649946648576 11482199928864768 15309599905153024 17223299893297152 22964399857729536 34446599786594304 45928799715459072 68893199573188608 137786399146377216
• Sum of all divisors σ(n): 404910550091254831
• Sum of proper divisors (its aliquot sum) s(n): 267124150944877615
• 137786399146377216 is an abundant number, because the sum of its proper divisors (267124150944877615) is greater than itself. Its abundance is 129337751798500399

Bases of 137786399146377216

• Binary: 111101001100001000000000000000000000000000000000000000000₂
• Hexadecimal: 0x1E9840000000000
• Base-36: 11OP79XCCN40

Squares and roots of 137786399146377216

• 137786399146377216 squared (137786399146377216²) is 18985091789724779997996657363910656
• 137786399146377216 cubed (137786399146377216³) is 2615887435169627518675557334529318130202884698013696
• 137786399146377216 is a perfect square number. Its square root is 371195904
• The cube root of 137786399146377216 is 516498.1657464547

Scales and comparisons

• 137,786,399,146,377,216 seconds is equal to 4,381,181,291 years, 28 weeks, 2 hours, 33 minutes, 36 seconds.
• To count from 1 to 137,786,399,146,377,216 would take you about thirteen billion, one hundred forty-three million, five hundred forty-three thousand, eight hundred seventy-four 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 137786399146377216 cubic inches would be around 43041.5 feet tall.

Recreational maths with 137786399146377216

• 137786399146377216 backwards is 612773641993687731
• The number of decimal digits it has is: 18
• The sum of 137786399146377216's digits is 90
• More coming soon!