131826601984

Names of 131826601984

• Cardinal: 131826601984 can be written as One hundred thirty-one billion, eight hundred twenty-six million, six hundred one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.31826601984 × 10¹¹

Factors of 131826601984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 120

Divisors of 131826601984

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 29 32 44 49 56 58 64 71 77 88 98 112 116 128 142 154 176 196 203 224 232 256 284 308 319 352 392 406 448 464 497 512 539 568 616 638 704 781 784 812 841 896 928 994 1024 1078 1136 1232 1276 1408 1421 1562 1568 1624 1682 1792 1856 1988 2048 2059 2156 2233 2272 2464 2552 2816 2842 3124 3136 3248 3364 3479 3584 3712 3976 4096 4118 4312 4466 4544 4928 5104 5467 5632 5684 5887 6248 6272 6496 6728 6958 7168 7424 7952 8236 8624 8932 9088 9251 9856 10208 10934 11264 11368 11774 12496 12544 12992 13456 13916 14336 14413 14848 15631 15904 16472 17248 17864 18176 18502 19712 20416 21868 22528 22649 22736 23548 24992 25088 25984 26912 27832 28672 28826 29696 31262 31808 32944 34496 35728 36352 37004 38269 39424 40832 41209 43736 45056 45298 45472 47096 49984 50176 51968 53824 55664 57652 59392 59711 62524 63616 64757 65888 68992 71456 72704 74008 76538 78848 81664 82418 87472 90596 90944 94192 99968 100352 100891 103936 107648 111328 115304 118784 119422 125048 127232 129514 131776 137984 142912 145408 148016 153076 157696 158543 163328 164836 174944 181192 181888 188384 199936 200704 201782 207872 215296 222656 230608 238844 250096 254464 259028 263552 275968 285824 290816 296032 306152 315392 317086 326656 329672 349888 362384 363776 376768 399872 403564 415744 417977 430592 445312 453299 461216 477688 500192 508928 518056 527104 551936 571648 592064 612304 634172 653312 656821 659344 699776 724768 727552 753536 799744 807128 831488 835954 861184 890624 906598 922432 955376 1000384 1017856 1036112 1054208 1103872 1109801 1143296 1184128 1224608 1268344 1306624 1313642 1318688 1399552 1449536 1455104 1507072 1599488 1614256 1671908 1722368 1781248 1813196 1844864 1910752 2000768 2035712 2072224 2108416 2207744 2219602 2286592 2368256 2449216 2536688 2627284 2637376 2799104 2899072 2910208 2925839 3014144 3198976 3228512 3343816 3444736 3562496 3626392 3689728 3821504 4001536 4144448 4216832 4439204 4573184 4597747 4736512 4898432 5073376 5254568 5274752 5598208 5798144 5820416 5851678 6028288 6457024 6687632 7124992 7252784 7379456 7643008 8003072 8288896 8433664 8878408 9146368 9195494 9473024 9796864 10146752 10509136 10549504 11196416 11596288 11703356 12056576 12914048 13375264 14249984 14505568 14758912 15286016 16006144 16577792 17756816 18390988 18946048 19593728 20293504 21018272 21099008 22392832 23192576 23406712 24113152 25828096 26750528 29011136 29517824 30572032 32012288 32184229 33155584 35513632 36781976 37892096 39187456 40587008 42036544 42198016 46385152 46813424 51656192 53501056 58022272 59035648 61144064 64024576 64368458 66311168 71027264 73563952 78374912 81174016 84073088 84396032 92770304 93626848 103312384 107002112 116044544 122288128 128736916 132622336 142054528 147127904 156749824 162348032 168146176 168792064 187253696 206624768 214004224 232089088 244576256 257473832 265244672 284109056 294255808 324696064 336292352 374507392 413249536 428008448 464178176 514947664 568218112 588511616 649392128 672584704 749014784 856016896 928356352 1029895328 1136436224 1177023232 1345169408 1498029568 1712033792 1856712704 2059790656 2272872448 2354046464 2690338816 2996059136 4119581312 4545744896 4708092928 5992118272 8239162624 9416185856 11984236544 16478325248 18832371712 32956650496 65913300992 131826601984
• Sum of all divisors σ(n): 351353010528
• Sum of proper divisors (its aliquot sum) s(n): 219526408544
• 131826601984 is an abundant number, because the sum of its proper divisors (219526408544) is greater than itself. Its abundance is 87699806560

Bases of 131826601984

• Binary: 1111010110001011110100101000000000000₂
• Hexadecimal: 0x1EB17A5000
• Base-36: 1OK65L34

Squares and roots of 131826601984

• 131826601984 squared (131826601984²) is 17378252990647952736256
• 131826601984 cubed (131826601984³) is 2290916040175405339626863438331904
• The square root of 131826601984 is 363079.3329067355
• The cube root of 131826601984 is 5089.4128955907

Scales and comparisons

• 131,826,601,984 seconds is equal to 4,191 years, 35 weeks, 1 day, 20 hours, 33 minutes, 4 seconds.
• To count from 1 to 131,826,601,984 would take you about eight thousand, three 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 131826601984 cubic inches would be around 424.1 feet tall.

Recreational maths with 131826601984

• 131826601984 backwards is 489106628131
• 131826601984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131826601984's digits is 49
• More coming soon!