135117338076768

Names of 135117338076768

• Cardinal: 135117338076768 can be written as One hundred thirty-five trillion, one hundred seventeen billion, three hundred thirty-eight million, seventy-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.35117338076768 × 10¹⁴

Factors of 135117338076768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 122017

Divisors of 135117338076768

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 523 719 744 992 1046 1438 1488 1569 2092 2157 2876 2976 3138 4184 4314 5752 6276 8368 8628 11504 12552 16213 16736 17256 22289 23008 25104 32426 34512 44578 48639 50208 64852 66867 69024 89156 97278 120739 129704 133734 178312 194556 241478 259408 267468 356624 362217 376037 389112 482956 518816 534936 713248 724434 752074 778224 965912 1069872 1128111 1448868 1504148 1556448 1931824 2139744 2256222 2897736 3008296 3742909 3863648 4512444 5795472 6016592 7485818 9024888 11228727 11590944 11657147 12033184 14971636 18049776 22457454 23314294 29943272 34971441 36099552 44914908 46628588 59886544 63146497 69942882 86811341 89829816 93257176 119773088 126292994 139885764 173622682 179659632 186514352 189439491 252585988 260434023 279771528 347245364 359319264 373028704 378878982 505171976 520868046 559543056 694490728 757757964 1010343952 1041736092 1119086112 1388981456 1515515928 1957541407 2020687904 2083472184 2691151571 2777962912 3031031856 3915082814 4166944368 5382303142 5872624221 6062063712 7830165628 8073454713 8333888736 10764606284 11745248442 15660331256 16146909426 21529212568 23490496884 31320662512 32293818852 43058425136 45402331343 46980993768 62641325024 64587637704 86116850272 90804662686 93961987536 129175275408 136206994029 181609325372 187923975072 258350550816 272413988058 363218650744 544827976116 726437301488 1089655952232 1407472271633 1452874602976 2179311904464 2814944543266 4222416814899 4358623808928 5629889086532 8444833629798 11259778173064 16889667259596 22519556346128 33779334519192 45039112692256 67558669038384 135117338076768
• Sum of all divisors σ(n): 367337675980800
• Sum of proper divisors (its aliquot sum) s(n): 232220337904032
• 135117338076768 is an abundant number, because the sum of its proper divisors (232220337904032) is greater than itself. Its abundance is 97102999827264

Bases of 135117338076768

• Binary: 11110101110001101110100111100000110011001100000₂
• Hexadecimal: 0x7AE374F06660
• Base-36: 1BW81QGQ5C

Squares and roots of 135117338076768

• 135117338076768 squared (135117338076768²) is 18256695048951619613061325824
• 135117338076768 cubed (135117338076768³) is 2466796037093652498423354310545028372856832
• The square root of 135117338076768 is 11623998.3687528105
• The cube root of 135117338076768 is 51314.1367103209

Scales and comparisons

• 135,117,338,076,768 seconds is equal to 4,296,313 years, 21 weeks, 14 hours, 12 minutes, 48 seconds.
• To count from 1 to 135,117,338,076,768 would take you about ten million, seven hundred forty thousand, seven hundred eighty-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 135117338076768 cubic inches would be around 4276.2 feet tall.

Recreational maths with 135117338076768

• 135117338076768 backwards is 867670833711531
• The number of decimal digits it has is: 15
• The sum of 135117338076768's digits is 66
• More coming soon!