131753385984

Names of 131753385984

• Cardinal: 131753385984 can be written as One hundred thirty-one billion, seven hundred fifty-three million, three hundred eighty-five thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.31753385984 × 10¹¹

Factors of 131753385984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 375

Divisors of 131753385984

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 113 114 128 132 152 176 192 209 226 227 228 256 264 304 339 352 384 418 452 454 456 512 528 608 627 678 681 704 768 836 904 908 912 1024 1056 1216 1243 1254 1356 1362 1408 1536 1672 1808 1816 1824 2048 2112 2147 2432 2486 2497 2508 2712 2724 2816 3072 3344 3616 3632 3648 3729 4096 4224 4294 4313 4864 4972 4994 5016 5424 5448 5632 6144 6441 6688 7232 7264 7296 7458 7491 8192 8448 8588 8626 9728 9944 9988 10032 10848 10896 11264 12288 12882 12939 13376 14464 14528 14592 14916 14982 16896 17176 17252 19456 19888 19976 20064 21696 21792 22528 23617 24576 25651 25764 25878 26752 28928 29056 29184 29832 29964 33792 34352 34504 38912 39776 39952 40128 43392 43584 45056 47234 47443 51302 51528 51756 53504 57856 58112 58368 59664 59928 67584 68704 69008 70851 76953 77824 79552 79904 80256 86784 87168 90112 94468 94886 102604 103056 103512 107008 115712 116224 116736 119328 119856 135168 137408 138016 141702 142329 153906 155648 159104 159808 160512 173568 174336 188936 189772 205208 206112 207024 214016 231424 232448 233472 238656 239712 270336 274816 276032 282161 283404 284658 307812 318208 319616 321024 347136 348672 377872 379544 410416 412224 414048 428032 462848 464896 466944 477312 479424 487369 549632 552064 564322 566808 569316 615624 636416 639232 642048 694272 697344 755744 759088 820832 824448 828096 846483 856064 925696 929792 954624 958848 974738 1099264 1104128 1128644 1133616 1138632 1231248 1272832 1278464 1284096 1388544 1394688 1462107 1511488 1518176 1641664 1648896 1656192 1692966 1712128 1859584 1909248 1917696 1949476 2198528 2208256 2257288 2267232 2277264 2462496 2545664 2556928 2568192 2777088 2789376 2924214 3022976 3036352 3283328 3297792 3312384 3385932 3818496 3835392 3898952 4397056 4416512 4514576 4534464 4554528 4924992 5091328 5113856 5136384 5361059 5578752 5848428 6045952 6072704 6566656 6595584 6624768 6771864 7636992 7670784 7797904 8794112 8833024 9029152 9068928 9109056 9849984 10182656 10227712 10722118 11696856 12091904 12145408 13133312 13191168 13249536 13543728 15273984 15341568 15595808 16083177 17588224 17666048 18058304 18137856 18218112 19699968 20455424 21444236 23393712 24183808 24290816 26266624 26382336 26499072 27087456 30547968 30683136 31191616 32166354 35332096 36116608 36275712 36436224 39399936 42888472 46787424 48367616 48581632 52533248 52764672 52998144 54174912 61366272 62383232 64332708 72233216 72551424 72872448 78799872 85776944 93574848 96735232 97163264 105066496 105996288 108349824 124766464 128665416 144466432 145102848 145744896 157599744 171553888 187149696 193470464 194326528 210132992 216699648 249532928 257330832 288932864 290205696 291489792 315199488 343107776 374299392 388653056 433399296 499065856 514661664 577865728 580411392 582979584 630398976 686215552 748598784 866798592 998131712 1029323328 1155731456 1165959168 1372431104 1497197568 1733597184 1996263424 2058646656 2311462912 2744862208 2994395136 3467194368 3992526848 4117293312 5489724416 5988790272 6934388736 8234586624 10979448832 11977580544 16469173248 21958897664 32938346496 43917795328 65876692992 131753385984
• Sum of all divisors σ(n): 408793858560
• Sum of proper divisors (its aliquot sum) s(n): 277040472576
• 131753385984 is an abundant number, because the sum of its proper divisors (277040472576) is greater than itself. Its abundance is 145287086592

Bases of 131753385984

• Binary: 1111010101101000111010010000000000000₂
• Hexadecimal: 0x1EAD1D2000
• Base-36: 1OIYKB9C

Squares and roots of 131753385984

• 131753385984 squared (131753385984²) is 17358954718248887648256
• 131753385984 cubed (131753385984³) is 2287101061272223662899322792443904
• The square root of 131753385984 is 362978.4924537537
• The cube root of 131753385984 is 5088.4705074957

Scales and comparisons

• 131,753,385,984 seconds is equal to 4,189 years, 18 weeks, 1 day, 10 hours, 46 minutes, 24 seconds.
• To count from 1 to 131,753,385,984 would take you about eight thousand, three hundred seventy-eight 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 131753385984 cubic inches would be around 424 feet tall.

Recreational maths with 131753385984

• 131753385984 backwards is 489583357131
• 131753385984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131753385984's digits is 57
• More coming soon!