138758445009408

Names of 138758445009408

• Cardinal: 138758445009408 can be written as One hundred thirty-eight trillion, seven hundred fifty-eight billion, four hundred forty-five million, nine thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.38758445009408 × 10¹⁴

Factors of 138758445009408

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 653

Divisors of 138758445009408

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 512 588 641 672 686 768 784 896 1029 1176 1282 1344 1372 1536 1568 1792 1923 2058 2352 2564 2688 2744 3136 3584 3846 4116 4487 4704 5128 5376 5488 6272 7692 8232 8974 9408 10256 10752 10976 12544 13461 15384 16464 17948 18816 20512 21952 25088 26922 30768 31409 32928 35896 37632 41024 43904 53844 61536 62818 65856 71792 75264 82048 87808 94227 107688 123072 125636 131712 143584 164096 175616 188454 215376 219863 246144 251272 263424 287168 328192 376908 410881 430752 439726 492288 502544 526848 574336 659589 753816 821762 861504 879452 984576 1005088 1148672 1232643 1319178 1507632 1643524 1723008 1758904 2010176 2297344 2465286 2638356 2876167 3015264 3287048 3446016 3517808 4020352 4930572 5276712 5752334 6030528 6574096 6892032 7035616 8040704 8628501 9861144 10553424 11504668 12061056 13148192 14071232 16081408 17257002 19722288 20133169 21106848 23009336 24122112 26296384 28142464 34514004 39444576 40266338 42213696 46018672 48244224 52592768 56284928 60399507 69028008 78889152 80532676 84427392 92037344 105185536 112569856 120799014 138056016 140932183 157778304 161065352 168854784 184074688 210371072 241598028 263374721 276112032 281864366 315556608 322130704 337709568 368149376 422796549 483196056 526749442 552224064 563728732 631113216 644261408 736298752 790124163 845593098 966392112 1053498884 1104448128 1127457464 1288522816 1472597504 1580248326 1691186196 1843623047 1932784224 2106997768 2208896256 2254914928 2577045632 3160496652 3382372392 3687246094 3865568448 4213995536 4417792512 4509829856 5154091264 5530869141 6320993304 6764744784 7374492188 7731136896 8427991072 9019659712 10308182528 11061738282 12641986608 12905361329 13529489568 14748984376 15462273792 16855982144 18039319424 22123476564 25283973216 25810722658 27058979136 29497968752 30924547584 33711964288 36078638848 38716083987 44246953128 50567946432 51621445316 54117958272 58995937504 67423928576 72157277696 77432167974 88493906256 90337529303 101135892864 103242890632 108235916544 117991875008 134847857152 154864335948 176987812512 180675058606 202271785728 206485781264 216471833088 235983750016 271012587909 309728671896 353975625024 361350117212 404543571456 412971562528 471967500032 542025175818 619457343792 707951250048 722700234424 825943125056 943935000064 1084050351636 1238914687584 1415902500096 1445400468848 1651886250112 2168100703272 2477829375168 2831805000192 2890800937696 3303772500224 4336201406544 4955658750336 5781601875392 6607545000448 8672402813088 9911317500672 11563203750784 17344805626176 19822635001344 23126407501568 34689611252352 46252815003136 69379222504704 138758445009408
• Sum of all divisors σ(n): 431765324179200
• Sum of proper divisors (its aliquot sum) s(n): 293006879169792
• 138758445009408 is an abundant number, because the sum of its proper divisors (293006879169792) is greater than itself. Its abundance is 154248434160384

Bases of 138758445009408

• Binary: 11111100011001100110111110100110000101000000000₂
• Hexadecimal: 0x7E3337D30A00
• Base-36: 1D6OQZIS5C

Squares and roots of 138758445009408

• 138758445009408 squared (138758445009408²) is 19253906061428903901208510464
• 138758445009408 cubed (138758445009408³) is 2671642065441089931612049660653438146445312
• The square root of 138758445009408 is 11779577.4546206877
• The cube root of 138758445009408 is 51770.9905757547

Scales and comparisons

• 138,758,445,009,408 seconds is equal to 4,412,089 years, 17 weeks, 5 days, 22 hours, 36 minutes, 48 seconds.
• To count from 1 to 138,758,445,009,408 would take you about eleven million, thirty thousand, two hundred twenty-three 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 138758445009408 cubic inches would be around 4314.2 feet tall.

Recreational maths with 138758445009408

• 138758445009408 backwards is 804900544857831
• The number of decimal digits it has is: 15
• The sum of 138758445009408's digits is 66
• More coming soon!