137978654428400

Names of 137978654428400

• Cardinal: 137978654428400 can be written as One hundred thirty-seven trillion, nine hundred seventy-eight billion, six hundred fifty-four million, four hundred twenty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.379786544284 × 10¹⁴

Factors of 137978654428400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 18891926

Divisors of 137978654428400

• Number of divisors d(n): 180
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 25 31 38 40 50 62 76 80 95 100 124 152 155 190 200 248 304 310 380 400 475 496 589 620 760 775 950 961 1178 1240 1520 1550 1900 1922 2356 2480 2945 3100 3800 3844 4712 4805 5890 6200 7600 7688 9424 9610 11780 12400 14725 15376 18259 19220 23560 24025 29450 36518 38440 47120 48050 58900 73036 76880 91295 96100 117800 146072 182590 192200 235600 292144 365180 384400 456475 730360 912950 1460720 1825900 3651800 7303600 18891869 37783738 75567476 94459345 151134952 188918690 302269904 358945511 377837380 472296725 585647939 717891022 755674760 944593450 1171295878 1435782044 1511349520 1794727555 1889186900 2342591756 2871564088 2928239695 3589455110 3778373800 4685183512 5743128176 5856479390 7178910220 7556747600 8973637775 9370367024 11127310841 11712958780 14357820440 14641198475 17947275550 18155086109 22254621682 23425917560 28715640880 29282396950 35894551100 36310172218 44509243364 46851835120 55636554205 58564793900 71789102200 72620344436 89018486728 90775430545 111273108410 117129587800 143578204400 145240688872 178036973456 181550861090 222546216820 234259175600 278182771025 290481377744 344946636071 363101722180 445092433640 453877152725 556365542050 689893272142 726203444360 890184867280 907754305450 1112731084100 1379786544284 1452406888720 1724733180355 1815508610900 2225462168200 2759573088568 3449466360710 3631017221800 4450924336400 5519146177136 6898932721420 7262034443600 8623665901775 13797865442840 17247331803550 27595730885680 34494663607100 68989327214200 137978654428400
• Sum of all divisors σ(n): 360560029210200
• Sum of proper divisors (its aliquot sum) s(n): 222581374781800
• 137978654428400 is an abundant number, because the sum of its proper divisors (222581374781800) is greater than itself. Its abundance is 84602720353400

Bases of 137978654428400

• Binary: 11111010111110110101000101011110000110011110000₂
• Hexadecimal: 0x7D7DA8AF0CF0
• Base-36: 1CWQIOCD0W

Squares and roots of 137978654428400

• 137978654428400 squared (137978654428400²) is 19038109077871826930726560000
• 137978654428400 cubed (137978654428400³) is 2626852673425861793382892647973498304000000
• The square root of 137978654428400 is 11746431.5614743187
• The cube root of 137978654428400 is 51673.8279797971

Scales and comparisons

• 137,978,654,428,400 seconds is equal to 4,387,294 years, 21 weeks, 3 days, 23 hours, 53 minutes, 20 seconds.
• To count from 1 to 137,978,654,428,400 would take you about ten million, nine hundred sixty-eight thousand, two hundred thirty-six 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 137978654428400 cubic inches would be around 4306.2 feet tall.

Recreational maths with 137978654428400

• 137978654428400 backwards is 004824456879731
• The number of decimal digits it has is: 15
• The sum of 137978654428400's digits is 68
• More coming soon!