137335844896768

Names of 137335844896768

• Cardinal: 137335844896768 can be written as One hundred thirty-seven trillion, three hundred thirty-five billion, eight hundred forty-four million, eight hundred ninety-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37335844896768 × 10¹⁴

Factors of 137335844896768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 189

Divisors of 137335844896768

• Number of divisors d(n): 414
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 83 97 98 112 128 166 194 196 224 256 332 388 392 448 512 581 664 679 776 784 896 1024 1162 1328 1358 1552 1568 1792 2048 2324 2656 2716 3104 3136 3584 4067 4096 4648 4753 5312 5432 6208 6272 6889 7168 8051 8134 8192 9296 9506 10624 10864 12416 12544 13778 14336 16102 16268 16384 18592 19012 21248 21728 24832 25088 27556 28672 32204 32536 32768 37184 38024 42496 43456 48223 49664 50176 55112 56357 57344 64408 65072 65536 74368 76048 84992 86912 96446 99328 100352 110224 112714 114688 128816 130144 131072 148736 152096 169984 173824 192892 198656 200704 220448 225428 229376 257632 260288 262144 297472 304192 337561 339968 347648 385784 394499 397312 401408 440896 450856 458752 515264 520576 524288 594944 608384 668233 675122 679936 695296 771568 788998 794624 802816 881792 901712 917504 1030528 1041152 1048576 1189888 1216768 1336466 1350244 1359872 1390592 1543136 1577996 1589248 1605632 1763584 1803424 1835008 2061056 2082304 2097152 2379776 2433536 2672932 2700488 2719744 2781184 3086272 3155992 3178496 3211264 3527168 3606848 3670016 4122112 4164608 4194304 4677631 4759552 4867072 5345864 5400976 5439488 5562368 6172544 6311984 6356992 6422528 7054336 7213696 7340032 8244224 8329216 9355262 9519104 9734144 10691728 10801952 10878976 11124736 12345088 12623968 12713984 12845056 14108672 14427392 14680064 16488448 16658432 18710524 19038208 19468288 21383456 21603904 21757952 22249472 24690176 25247936 25427968 25690112 28217344 28854784 29360128 32743417 32976896 33316864 37421048 38076416 38936576 42766912 43207808 43515904 44498944 49380352 50495872 50855936 51380224 56434688 57709568 65486834 65953792 66633728 74842096 76152832 77873152 85533824 86415616 87031808 88997888 98760704 100991744 101711872 102760448 112869376 115419136 130973668 131907584 133267456 149684192 152305664 155746304 171067648 172831232 174063616 177995776 197521408 201983488 203423744 205520896 225738752 230838272 261947336 263815168 266534912 299368384 304611328 311492608 342135296 345662464 348127232 355991552 395042816 403966976 406847488 451477504 461676544 523894672 527630336 533069824 598736768 609222656 622985216 684270592 691324928 711983104 790085632 807933952 902955008 923353088 1047789344 1055260672 1066139648 1197473536 1218445312 1245970432 1368541184 1382649856 1423966208 1580171264 1615867904 1805910016 1846706176 2095578688 2110521344 2132279296 2394947072 2436890624 2491940864 2737082368 2765299712 2847932416 3160342528 3231735808 3611820032 3693412352 4191157376 4221042688 4264558592 4789894144 4983881728 5474164736 5530599424 6320685056 6463471616 7223640064 7386824704 8382314752 8442085376 8529117184 9579788288 9967763456 10948329472 11061198848 12641370112 12926943232 14447280128 14773649408 16764629504 16884170752 17058234368 19159576576 19935526912 21896658944 22122397696 25282740224 25853886464 28894560256 29547298816 33529259008 33768341504 38319153152 43793317888 44244795392 50565480448 51707772928 59094597632 67058518016 76638306304 87586635776 88489590784 101130960896 103415545856 118189195264 134117036032 153276612608 175173271552 176979181568 202261921792 206831091712 236378390528 268234072064 306553225216 350346543104 353958363136 413662183424 536468144128 613106450432 700693086208 707916726272 827324366848 1072936288256 1226212900864 1401386172416 1415833452544 1654648733696 2145872576512 2452425801728 2802772344832 4291745153024 4904851603456 8583490306048 9809703206912 17166980612096 19619406413824 34333961224192 68667922448384 137335844896768
• Sum of all divisors σ(n): 326746124429046
• Sum of proper divisors (its aliquot sum) s(n): 189410279532278
• 137335844896768 is an abundant number, because the sum of its proper divisors (189410279532278) is greater than itself. Its abundance is 52074434635510

Bases of 137335844896768

• Binary: 11111001110011111111110010000000000000000000000₂
• Hexadecimal: 0x7CE7FE400000
• Base-36: 1COJ7S581S

Squares and roots of 137335844896768

• 137335844896768 squared (137335844896768²) is 18861134293509117108576845824
• 137335844896768 cubed (137335844896768³) is 2590309813910479997922824691321156331896832
• The square root of 137335844896768 is 11719037.7120635635
• The cube root of 137335844896768 is 51593.4577087921

Scales and comparisons

• 137,335,844,896,768 seconds is equal to 4,366,855 years, 3 weeks, 20 hours, 39 minutes, 28 seconds.
• To count from 1 to 137,335,844,896,768 would take you about ten million, nine hundred seventeen thousand, one hundred thirty-seven 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 137335844896768 cubic inches would be around 4299.5 feet tall.

Recreational maths with 137335844896768

• 137335844896768 backwards is 867698448533731
• The number of decimal digits it has is: 15
• The sum of 137335844896768's digits is 82
• More coming soon!