138748020465664

Names of 138748020465664

• Cardinal: 138748020465664 can be written as One hundred thirty-eight trillion, seven hundred forty-eight billion, twenty million, four hundred sixty-five thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.38748020465664 × 10¹⁴

Factors of 138748020465664

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 205

Divisors of 138748020465664

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 8 16 29 32 37 58 64 74 116 128 137 148 232 256 274 296 464 512 548 592 841 928 1024 1073 1096 1184 1682 1856 2048 2146 2192 2368 3364 3712 3973 4096 4292 4384 4736 5069 6728 7424 7946 8192 8584 8768 9472 10138 13456 14848 15892 17168 17536 18769 18944 20276 24389 26912 29696 31117 31784 34336 35072 37538 37888 40552 48778 53824 59392 62234 63568 68672 70144 75076 75776 81104 97556 107648 115217 118784 124468 127136 137344 140288 147001 150152 151552 162208 195112 215296 230434 237568 248936 254272 274688 280576 294002 300304 303104 324416 390224 430592 460868 497872 508544 544301 549376 561152 588004 600608 648832 694453 780448 861184 902393 921736 995744 1017088 1088602 1098752 1122304 1176008 1201216 1297664 1388906 1560896 1722368 1804786 1843472 1991488 2034176 2177204 2197504 2352016 2402432 2595328 2777812 3121792 3341293 3444736 3609572 3686944 3982976 4068352 4263029 4354408 4395008 4704032 4804864 5190656 5555624 6243584 6682586 6889472 7219144 7373888 7965952 8136704 8526058 8708816 8790016 9408064 9609728 10381312 11111248 12487168 13365172 14438288 14747776 15784729 15931904 16273408 17052116 17417632 18816128 19219456 20139137 20762624 22222496 24974336 26730344 28876576 29495552 31569458 31863808 32546816 34104232 34835264 37632256 38438912 40278274 41525248 44444992 49948672 53460688 57753152 58991104 63138916 63727616 68208464 69670528 75264512 76877824 80556548 88889984 99897344 106921376 115506304 117982208 123627841 126277832 127455232 136416928 139341056 150529024 153755648 161113096 177779968 199794688 213842752 231012608 235964416 247255682 252555664 254910464 272833856 278682112 301058048 322226192 355559936 427685504 457757141 462025216 471928832 494511364 505111328 545667712 557364224 584034973 602116096 644452384 711119872 855371008 915514282 924050432 943857664 989022728 1010222656 1091335424 1114728448 1168069946 1204232192 1288904768 1422239744 1710742016 1831028564 1848100864 1978045456 2020445312 2182670848 2229456896 2336139892 2577809536 2844479488 3421484032 3662057128 3696201728 3956090912 4040890624 4365341696 4458913792 4672279784 5155619072 5688958976 6842968064 7324114256 7392403456 7912181824 8081781248 8730683392 9344559568 10311238144 13685936128 14648228512 15824363648 16163562496 16937014217 17461366784 18689119136 20622476288 27371872256 29296457024 31648727296 32327124992 33874028434 34922733568 37378238272 41244952576 58592914048 63297454592 64654249984 67748056868 74756476544 82489905152 117185828096 126594909184 129308499968 135496113736 149512953088 164979810304 234371656192 253189818368 270992227472 299025906176 468743312384 506379636736 541984454944 598051812352 937486624768 1012759273472 1083968909888 1196103624704 1874973249536 2167937819776 2392207249408 3749946499072 4335875639552 4784414498816 8671751279104 17343502558208 34687005116416 69374010232832 138748020465664
• Sum of all divisors σ(n): 297326075354280
• Sum of proper divisors (its aliquot sum) s(n): 158578054888616
• 138748020465664 is an abundant number, because the sum of its proper divisors (158578054888616) is greater than itself. Its abundance is 19830034422952

Bases of 138748020465664

• Binary: 11111100011000011001010011110010010000000000000₂
• Hexadecimal: 0x7E30CA792000
• Base-36: 1D6JYL0MPS

Squares and roots of 138748020465664

• 138748020465664 squared (138748020465664²) is 19251013183140316187402960896
• 138748020465664 cubed (138748020465664³) is 2671039971119120056089961963548238302674944
• The square root of 138748020465664 is 11779134.9625371047
• The cube root of 138748020465664 is 51769.6940721519

Scales and comparisons

• 138,748,020,465,664 seconds is equal to 4,411,757 years, 45 weeks, 3 days, 12 hours, 1 minute, 4 seconds.
• To count from 1 to 138,748,020,465,664 would take you about eleven million, twenty-nine thousand, three hundred ninety-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 138748020465664 cubic inches would be around 4314.1 feet tall.

Recreational maths with 138748020465664

• 138748020465664 backwards is 466564020847831
• 138748020465664 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138748020465664's digits is 64
• More coming soon!