131424146688

Names of 131424146688

• Cardinal: 131424146688 can be written as One hundred thirty-one billion, four hundred twenty-four million, one hundred forty-six thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.31424146688 × 10¹¹

Factors of 131424146688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 494

Divisors of 131424146688

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 152 183 192 228 244 256 304 361 366 384 409 456 488 608 722 732 768 818 912 976 1083 1159 1216 1227 1444 1464 1636 1824 1952 2166 2318 2432 2454 2888 2928 3272 3477 3648 3904 4332 4636 4864 4908 5776 5856 6544 6859 6954 7296 7771 7808 8664 9272 9816 11552 11712 13088 13718 13908 14592 15542 15616 17328 18544 19632 20577 22021 23104 23313 23424 24949 26176 27436 27816 31084 34656 37088 39264 41154 44042 46208 46626 46848 49898 52352 54872 55632 62168 66063 69312 74176 74847 78528 82308 88084 92416 93252 99796 104704 109744 111264 124336 132126 138624 147649 148352 149694 157056 164616 176168 186504 199592 219488 222528 248672 264252 277248 295298 296704 299388 314112 329232 352336 373008 399184 418399 438976 442947 445056 474031 497344 528504 590596 598776 658464 704672 746016 798368 836798 877952 885894 890112 948062 994688 1057008 1181192 1197552 1255197 1316928 1409344 1422093 1492032 1596736 1673596 1755904 1771788 1896124 1989376 2114016 2362384 2395104 2510394 2633856 2805331 2818688 2844186 2984064 3193472 3347192 3543576 3792248 4228032 4724768 4790208 5020788 5267712 5610662 5637376 5688372 5968128 6386944 6694384 7087152 7584496 8415993 8456064 9006589 9449536 9580416 10041576 11221324 11376744 13388768 14174304 15168992 16831986 16912128 18013178 18899072 19160832 20083152 22442648 22753488 26777536 27019767 28348608 30337984 33663972 36026356 37798144 40166304 44885296 45506976 53555072 54039534 56697216 60675968 67327944 72052712 80332608 89770592 91013952 107110144 108079068 113394432 121351936 134655888 144105424 160665216 171125191 179541184 182027904 216158136 269311776 288210848 321330432 342250382 359082368 364055808 432316272 513375573 538623552 576421696 684500764 718164736 864632544 1026751146 1077247104 1152843392 1369001528 1729265088 2053502292 2154494208 2305686784 2738003056 3458530176 4107004584 5476006112 6917060352 8214009168 10952012224 16428018336 21904024448 32856036672 43808048896 65712073344 131424146688
• Sum of all divisors σ(n): 376179395200
• Sum of proper divisors (its aliquot sum) s(n): 244755248512
• 131424146688 is an abundant number, because the sum of its proper divisors (244755248512) is greater than itself. Its abundance is 113331101824

Bases of 131424146688

• Binary: 1111010011001011111010101010100000000₂
• Hexadecimal: 0x1E997D5500
• Base-36: 1ODIJKLC

Squares and roots of 131424146688

• 131424146688 squared (131424146688²) is 17272306332668941369344
• 131424146688 cubed (131424146688³) is 2269998121104754277066337442332672
• The square root of 131424146688 is 362524.6842464661
• The cube root of 131424146688 is 5084.2284359207

Scales and comparisons

• 131,424,146,688 seconds is equal to 4,178 years, 45 weeks, 5 days, 19 hours, 24 minutes, 48 seconds.
• To count from 1 to 131,424,146,688 would take you about eight thousand, three hundred fifty-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 131424146688 cubic inches would be around 423.7 feet tall.

Recreational maths with 131424146688

• 131424146688 backwards is 886641424131
• 131424146688 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131424146688's digits is 48
• More coming soon!