137748465995218944

Names of 137748465995218944

• Cardinal: 137748465995218944 can be written as One hundred thirty-seven quadrillion, seven hundred forty-eight trillion, four hundred sixty-five billion, nine hundred ninety-five million, two hundred eighteen thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 1.37748465995218944 × 10¹⁷

Factors of 137748465995218944

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 44
• Sum of prime factors: 22

Divisors of 137748465995218944

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 512 544 578 768 816 867 1024 1088 1156 1536 1632 1734 2048 2176 2312 3072 3264 3468 4096 4352 4624 4913 6144 6528 6936 8192 8704 9248 9826 12288 13056 13872 14739 16384 17408 18496 19652 24576 26112 27744 29478 32768 34816 36992 39304 49152 52224 55488 58956 65536 69632 73984 78608 83521 98304 104448 110976 117912 131072 139264 147968 157216 167042 196608 208896 221952 235824 250563 262144 278528 295936 314432 334084 393216 417792 443904 471648 501126 524288 557056 591872 628864 668168 786432 835584 887808 943296 1002252 1048576 1114112 1183744 1257728 1336336 1572864 1671168 1775616 1886592 2004504 2097152 2228224 2367488 2515456 2672672 3145728 3342336 3551232 3773184 4009008 4194304 4456448 4734976 5030912 5345344 6291456 6684672 7102464 7546368 8018016 8388608 8912896 9469952 10061824 10690688 12582912 13369344 14204928 15092736 16036032 16777216 17825792 18939904 20123648 21381376 25165824 26738688 28409856 30185472 32072064 33554432 35651584 37879808 40247296 42762752 50331648 53477376 56819712 60370944 64144128 67108864 71303168 75759616 80494592 85525504 100663296 106954752 113639424 120741888 128288256 134217728 142606336 151519232 160989184 171051008 201326592 213909504 227278848 241483776 256576512 268435456 285212672 303038464 321978368 342102016 402653184 427819008 454557696 482967552 513153024 536870912 570425344 606076928 643956736 684204032 805306368 855638016 909115392 965935104 1026306048 1073741824 1140850688 1212153856 1287913472 1368408064 1610612736 1711276032 1818230784 1931870208 2052612096 2147483648 2281701376 2424307712 2575826944 2736816128 3221225472 3422552064 3636461568 3863740416 4105224192 4294967296 4563402752 4848615424 5151653888 5473632256 6442450944 6845104128 7272923136 7727480832 8210448384 8589934592 9126805504 9697230848 10303307776 10947264512 12884901888 13690208256 14545846272 15454961664 16420896768 17179869184 18253611008 19394461696 20606615552 21894529024 25769803776 27380416512 29091692544 30909923328 32841793536 34359738368 36507222016 38788923392 41213231104 43789058048 51539607552 54760833024 58183385088 61819846656 65683587072 68719476736 73014444032 77577846784 82426462208 87578116096 103079215104 109521666048 116366770176 123639693312 131367174144 137438953472 146028888064 155155693568 164852924416 175156232192 206158430208 219043332096 232733540352 247279386624 262734348288 274877906944 292057776128 310311387136 329705848832 350312464384 412316860416 438086664192 465467080704 494558773248 525468696576 549755813888 584115552256 620622774272 659411697664 700624928768 824633720832 876173328384 930934161408 989117546496 1050937393152 1168231104512 1241245548544 1318823395328 1401249857536 1649267441664 1752346656768 1861868322816 1978235092992 2101874786304 2336462209024 2482491097088 2637646790656 2802499715072 3504693313536 3723736645632 3956470185984 4203749572608 4672924418048 4964982194176 5275293581312 5604999430144 7009386627072 7447473291264 7912940371968 8407499145216 9345848836096 9929964388352 10550587162624 11209998860288 14018773254144 14894946582528 15825880743936 16814998290432 19859928776704 21101174325248 22419997720576 28037546508288 29789893165056 31651761487872 33629996580864 39719857553408 42202348650496 44839995441152 59579786330112 63303522975744 67259993161728 79439715106816 84404697300992 89679990882304 119159572660224 126607045951488 134519986323456 158879430213632 168809394601984 179359981764608 238319145320448 253214091902976 269039972646912 337618789203968 358719963529216 476638290640896 506428183805952 538079945293824 675237578407936 717439927058432 1012856367611904 1076159890587648 1350475156815872 1434879854116864 2025712735223808 2152319781175296 2700950313631744 2869759708233728 4051425470447616 4304639562350592 5739519416467456 8102850940895232 8609279124701184 11479038832934912 17218558249402368 22958077665869824 34437116498804736 45916155331739648 68874232997609472 137748465995218944
• Sum of all divisors σ(n): 390287045441525100
• Sum of proper divisors (its aliquot sum) s(n): 252538579446306156
• 137748465995218944 is an abundant number, because the sum of its proper divisors (252538579446306156) is greater than itself. Its abundance is 114790113451087212

Bases of 137748465995218944

• Binary: 111101001011000011000000000000000000000000000000000000000₂
• Hexadecimal: 0x1E9618000000000
• Base-36: 11OBR7ODK16O

Squares and roots of 137748465995218944

• 137748465995218944 squared (137748465995218944²) is 18974639884035989740302666496475136
• 137748465995218944 cubed (137748465995218944³) is 2613727536837656659653021112635231885672404572176384
• The square root of 137748465995218944 is 371144804.6183846879
• The cube root of 137748465995218944 is 516450.7633870867

Scales and comparisons

• 137,748,465,995,218,944 seconds is equal to 4,379,975,134 years, 34 weeks, 4 days, 17 hours, 42 minutes, 24 seconds.
• To count from 1 to 137,748,465,995,218,944 would take you about thirteen billion, one hundred thirty-nine million, nine hundred twenty-five thousand, four hundred 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 137748465995218944 cubic inches would be around 43037.6 feet tall.

Recreational maths with 137748465995218944

• 137748465995218944 backwards is 449812599564847731
• 137748465995218944 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137748465995218944's digits is 96
• More coming soon!