131814463178304

Names of 131814463178304

• Cardinal: 131814463178304 can be written as One hundred thirty-one trillion, eight hundred fourteen billion, four hundred sixty-three million, one hundred seventy-eight thousand, three hundred four.

Scientific notation

• Scientific notation: 1.31814463178304 × 10¹⁴

Factors of 131814463178304

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2339

Divisors of 131814463178304

• Number of divisors d(n): 441
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 243 276 288 324 368 414 432 486 529 552 576 621 648 729 736 828 864 972 1058 1104 1242 1296 1458 1472 1587 1656 1728 1863 1944 2116 2208 2311 2484 2592 2916 3174 3312 3726 3888 4232 4416 4622 4761 4968 5184 5589 5832 6348 6624 6933 7452 7776 8464 9244 9522 9936 11178 11664 12696 13248 13866 14283 14904 15552 16767 16928 18488 19044 19872 20799 22356 23328 25392 27732 28566 29808 33534 33856 36976 38088 39744 41598 42849 44712 46656 50784 53153 55464 57132 59616 62397 67068 73952 76176 83196 85698 89424 101568 106306 110928 114264 119232 124794 128547 134136 147904 152352 159459 166392 171396 178848 187191 212612 221856 228528 249588 257094 268272 304704 318918 332784 342792 357696 374382 385641 425224 443712 457056 478377 499176 514188 536544 561573 637836 665568 685584 748764 771282 850448 914112 956754 998352 1028376 1073088 1123146 1222519 1275672 1331136 1371168 1435131 1497528 1542564 1684719 1700896 1913508 1996704 2056752 2246292 2445038 2551344 2742336 2870262 2995056 3085128 3369438 3401792 3667557 3827016 3993408 4113504 4305393 4492584 4890076 5102688 5340721 5740524 5990112 6170256 6738876 7335114 7654032 8227008 8610786 8985168 9780152 10205376 10681442 11002671 11481048 11980224 12340512 12916179 13477752 14670228 15308064 16022163 17221572 17970336 19560304 21362884 22005342 22962096 24681024 25832358 26955504 29340456 30616128 32044326 33008013 34443144 35940672 38748537 39120608 42725768 44010684 45924192 48066489 51664716 53911008 58680912 64088652 66016026 68886288 77497074 78241216 85451536 88021368 91848384 96132978 99024039 103329432 107822016 117361824 122836583 128177304 132032052 137772576 144199467 154994148 170903072 176042736 192265956 198048078 206658864 234723648 245673166 256354608 264064104 275545152 288398934 297072117 309988296 341806144 352085472 368509749 384531912 396096156 413317728 432598401 491346332 512709216 528128208 576797868 594144234 619976592 704170944 737019498 769063824 792192312 826635456 865196802 891216351 982692664 1025418432 1056256416 1105529247 1153595736 1188288468 1239953184 1297795203 1474038996 1538127648 1584384624 1730393604 1782432702 1965385328 2112512832 2211058494 2307191472 2376576936 2479906368 2595590406 2825241409 2948077992 3076255296 3168769248 3316587741 3460787208 3564865404 3893385609 3930770656 4422116988 4614382944 4753153872 5191180812 5650482818 5896155984 6337538496 6633175482 6921574416 7129730808 7786771218 7861541312 8475724227 8844233976 9228765888 9506307744 9949763223 10382361624 11300965636 11792311968 13266350964 13843148832 14259461616 15573542436 16951448454 17688467952 19012615488 19899526446 20764723248 22601931272 23584623936 25427172681 26532701928 27686297664 28518923232 29849289669 31147084872 33902896908 35376935904 39799052892 41529446496 45203862544 50854345362 53065403856 57037846464 59698579338 62294169744 67805793816 70753871808 76281518043 79598105784 83058892992 89547869007 90407725088 101708690724 106130807712 119397158676 124588339488 135611587632 152563036086 159196211568 179095738014 180815450176 203417381448 212261615424 228844554129 238794317352 249176678976 271223175264 305126072172 318392423136 358191476028 406834762896 457689108258 477588634704 542446350528 610252144344 636784846272 686533662387 716382952056 813669525792 915378216516 955177269408 1220504288688 1373067324774 1432765904112 1627339051584 1830756433032 1910354538816 2059600987161 2441008577376 2746134649548 2865531808224 3661512866064 4119201974322 4882017154752 5492269299096 5731063616448 7323025732128 8238403948644 10984538598192 14646051464256 16476807897288 21969077196384 32953615794576 43938154392768 65907231589152 131814463178304
• Sum of all divisors σ(n): 410144479830939
• Sum of proper divisors (its aliquot sum) s(n): 278330016652635
• 131814463178304 is an abundant number, because the sum of its proper divisors (278330016652635) is greater than itself. Its abundance is 146515553474331

Bases of 131814463178304

• Binary: 11101111110001001110010010000010000011001000000₂
• Hexadecimal: 0x77E272410640
• Base-36: 1AQ2Q81000

Squares and roots of 131814463178304

• 131814463178304 squared (131814463178304²) is 17375052702984461053296316416
• 131814463178304 cubed (131814463178304³) is 2290283244738636628237609671900071010238464
• 131814463178304 is a perfect square number. Its square root is 11481048
• The cube root of 131814463178304 is 50892.5667701859

Scales and comparisons

• 131,814,463,178,304 seconds is equal to 4,191,292 years, 10 weeks, 2 days, 20 hours, 38 minutes, 24 seconds.
• To count from 1 to 131,814,463,178,304 would take you about ten million, four hundred seventy-eight thousand, two hundred thirty 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 131814463178304 cubic inches would be around 4241 feet tall.

Recreational maths with 131814463178304

• 131814463178304 backwards is 403871364418131
• 131814463178304 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131814463178304's digits is 54
• More coming soon!