131977184768

Names of 131977184768

• Cardinal: 131977184768 can be written as One hundred thirty-one billion, nine hundred seventy-seven million, one hundred eighty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.31977184768 × 10¹¹

Factors of 131977184768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 8780

Divisors of 131977184768

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 211 256 286 352 416 422 512 572 704 832 844 1144 1408 1664 1688 2288 2321 2743 2816 3328 3376 4576 4642 5486 5632 6656 6752 8543 9152 9284 10972 13504 17086 18304 18568 21944 27008 30173 34172 36608 37136 43888 54016 60346 68344 73216 74272 87776 93973 108032 111059 120692 136688 148544 175552 187946 222118 241384 273376 297088 351104 375892 444236 482768 546752 594176 702208 751784 888472 965536 1093504 1188352 1221649 1404416 1503568 1776944 1802573 1931072 2187008 2443298 3007136 3553888 3605146 3862144 4374016 4886596 6014272 7107776 7210292 7724288 9773192 12028544 14215552 14420584 15448576 19546384 19828303 23433449 24057088 28431104 28841168 39092768 39656606 46866898 48114176 56862208 57682336 78185536 79313212 93733796 115364672 156371072 158626424 187467592 230729344 257767939 312742144 317252848 374935184 461458688 515535878 625484288 634505696 749870368 922917376 1031071756 1269011392 1499740736 2062143512 2538022784 2999481472 4124287024 5076045568 5998962944 8248574048 10152091136 11997925888 16497148096 32994296192 65988592384 131977184768
• Sum of all divisors σ(n): 311302075392
• Sum of proper divisors (its aliquot sum) s(n): 179324890624
• 131977184768 is an abundant number, because the sum of its proper divisors (179324890624) is greater than itself. Its abundance is 47347705856

Bases of 131977184768

• Binary: 1111010111010011101000000011000000000₂
• Hexadecimal: 0x1EBA740600
• Base-36: 1OMNT3I8

Squares and roots of 131977184768

• 131977184768 squared (131977184768²) is 17417977299286811213824
• 131977184768 cubed (131977184768³) is 2298775608312805118192384403832832
• The square root of 131977184768 is 363286.6427051785
• The cube root of 131977184768 is 5091.3500016841

Scales and comparisons

• 131,977,184,768 seconds is equal to 4,196 years, 24 weeks, 1 day, 17 hours, 6 minutes, 8 seconds.
• To count from 1 to 131,977,184,768 would take you about eight thousand, three hundred ninety-two 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 131977184768 cubic inches would be around 424.3 feet tall.

Recreational maths with 131977184768

• 131977184768 backwards is 867481779131
• The number of decimal digits it has is: 12
• The sum of 131977184768's digits is 62
• More coming soon!