131824109010672

Names of 131824109010672

• Cardinal: 131824109010672 can be written as One hundred thirty-one trillion, eight hundred twenty-four billion, one hundred nine million, ten thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 1.31824109010672 × 10¹⁴

Factors of 131824109010672

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1322

Divisors of 131824109010672

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 41 46 48 52 53 69 72 78 82 92 104 106 117 123 138 144 156 159 164 184 207 208 212 234 246 276 299 312 318 328 368 369 414 424 468 477 492 533 552 598 624 636 656 689 738 828 848 897 936 943 954 984 1066 1104 1187 1196 1219 1272 1378 1476 1599 1656 1794 1872 1886 1908 1968 2067 2132 2173 2374 2392 2438 2544 2691 2756 2829 2952 3198 3312 3561 3588 3657 3772 3816 4134 4264 4346 4748 4784 4797 4876 5382 5512 5658 5904 6201 6396 6519 7122 7176 7314 7544 7632 8268 8487 8528 8692 9496 9594 9752 10683 10764 10971 11024 11316 12259 12402 12792 13038 14244 14352 14628 15088 15431 15847 16536 16974 17384 18992 19188 19504 19557 21366 21528 21942 22632 24518 24804 25584 26076 27301 28249 28488 29256 30862 31694 33072 33948 34768 36777 38376 39114 42732 43056 43884 45264 46293 47541 48667 49036 49608 49979 52152 54602 56498 56976 58512 61724 62911 63388 67896 73554 76752 78228 81903 84747 85464 87768 92586 95082 97334 98072 99216 99958 104304 109204 110331 112996 123448 125822 126776 135792 138879 142623 146001 147108 149937 156456 163806 169494 170928 175536 185172 188733 190164 194668 196144 199916 218408 220662 225992 245709 246896 251644 253552 254241 277758 285246 292002 294216 299874 312912 327612 338988 354913 370344 377466 380328 389336 399832 436816 438003 441324 449811 451984 491418 503288 508482 555516 566199 570492 584004 588432 599748 632671 649727 655224 677976 709826 740688 754932 760656 778672 799664 817843 876006 882648 899622 982836 1006576 1016964 1064739 1111032 1119341 1132398 1140984 1168008 1199496 1265342 1299454 1310448 1355952 1408969 1419652 1446953 1509864 1635686 1752012 1765296 1799244 1898013 1949181 1965672 2033928 2129478 2222064 2238682 2264796 2281968 2336016 2398992 2453529 2530684 2579351 2598908 2817938 2839304 2893906 3019728 3194217 3271372 3358023 3504024 3598488 3796026 3898362 3931344 4067856 4226907 4258956 4340859 4477364 4529592 4907058 5061368 5158702 5197816 5635876 5678608 5694039 5787812 5847543 6388434 6542744 6716046 7008048 7196976 7360587 7592052 7738053 7796724 8453814 8517912 8681718 8954728 9059184 9814116 10074069 10122736 10317404 10395632 11271752 11388078 11575624 11695086 12680721 12776868 13022577 13085488 13432092 14551433 14721174 15184104 15476106 15593448 16907628 17035824 17363436 17909456 18316597 18810389 19628232 20148138 20634808 22543504 22776156 23151248 23214159 23390172 25361442 25553736 26045154 26864184 29102866 29442348 30368208 30952212 31186896 32406287 33531563 33815256 34726872 36633194 37620778 39256464 40296276 41269616 43654299 45552312 46428318 46780344 50722884 51107472 52090308 53728368 54949791 56431167 57767729 58205732 58884696 59325073 61904424 64812574 67063126 67630512 69453744 73266388 74675357 75241556 80592552 87308598 91104624 92856636 93560688 97218861 100594689 101445768 104180616 109899582 112862334 115535458 116411464 117769392 118650146 123808848 129625148 130962897 134126252 146532776 149350714 150483112 161185104 164849373 169293501 173303187 174617196 177975219 185713272 194437722 201189378 202891536 208361232 219799164 224026071 225724668 231070916 232822928 237300292 259250296 261925794 268252504 291656583 293065552 298701428 300966224 301784067 329698746 338587002 346606374 349234392 355950438 371426544 388875444 402378756 421281731 439598328 448052142 451449336 462141832 474600584 518500592 519909561 523851588 533925657 536505008 583313166 597402856 603568134 659397492 672078213 677174004 693212748 698468784 711900876 750980477 771225949 777750888 804757512 842563462 879196656 896104284 902898672 924283664 949201168 970779641 1039819122 1047703176 1067851314 1166626332 1194805712 1207136268 1263845193 1318794984 1328657767 1344156426 1354348008 1386425496 1423801752 1501960954 1542451898 1555501776 1609515024 1685126924 1717533211 1792208568 1941559282 2079638244 2095406352 2135702628 2252941431 2313677847 2333252664 2414272536 2527690386 2637589968 2657315534 2688312852 2708696016 2772850992 2847603504 2912338923 3003921908 3061689637 3084903796 3370253848 3435066422 3584417136 3791535579 3883118564 3985973301 4159276488 4271405256 4505882862 4627355694 4666505328 4828545072 5055380772 5152599633 5314631068 5376625704 5824677846 6007843816 6123379274 6169807592 6740507696 6758824293 6870132844 6941033541 7583071158 7766237128 7971946602 8318552976 8542810512 8737016769 9011765724 9185068911 9254711388 10110761544 10305199266 10629262136 10753251408 11649355692 11957919903 12015687632 12246758548 12339615184 13517648586 13740265688 13882067082 15166142316 15457798899 15532474256 15943893204 17272550971 17474033538 18023531448 18370137822 18509422776 20221523088 20610398532 21258524272 22327931743 23298711384 23915839806 24493517096 27035297172 27480531376 27555206733 27764134164 30332284632 30915597798 31887786408 34545101942 34948067076 36047062896 36740275644 37018845552 39801965281 41220797064 44655863486 46597422768 47831679612 48987034192 51817652913 54070594344 55110413466 55528268328 60664569264 61831195596 63775572816 66983795229 69090203884 69896134152 70418861651 73480551288 79603930562 82441594128 89311726972 95663359224 103635305826 108141188688 110220826932 111056536656 119405895843 123662391192 133967590458 138180407768 139792268304 140837723302 146961102576 155452958739 159207861124 178623453944 191326718448 200951385687 207270611652 211256584953 220441653864 238811791686 247324782384 267935180916 276360815536 281675446604 310905917478 318415722248 357246907888 358217687529 401902771374 414541223304 422513169906 440883307728 477623583372 535870361832 563350893208 621811834956 633769754859 636831444496 716435375058 803805542748 829082446608 845026339812 915445201463 955247166744 1071740723664 1126701786416 1243623669912 1267539509718 1432870750116 1607611085496 1690052679624 1830890402926 1910494333488 2487247339824 2535079019436 2746335604389 2865741500232 3215222170992 3380105359248 3661780805852 5070158038872 5492671208778 5731483000464 7323561611704 8239006813167 10140316077744 10985342417556 14647123223408 16478013626334 21970684835112 32956027252668 43941369670224 65912054505336 131824109010672
• Sum of all divisors σ(n): 433066750579008
• Sum of proper divisors (its aliquot sum) s(n): 301242641568336
• 131824109010672 is an abundant number, because the sum of its proper divisors (301242641568336) is greater than itself. Its abundance is 169418532557664

Bases of 131824109010672

• Binary: 11101111110010010110001001100001011111011110000₂
• Hexadecimal: 0x77E4B130BEF0
• Base-36: 1AQ75QWNW0

Squares and roots of 131824109010672

• 131824109010672 squared (131824109010672²) is 17377595716457534782609891584
• 131824109010672 cubed (131824109010672³) is 2290786072069684860540092463847411418984448
• The square root of 131824109010672 is 11481468.0686170093
• The cube root of 131824109010672 is 50893.8081342017

Scales and comparisons

• 131,824,109,010,672 seconds is equal to 4,191,598 years, 47 weeks, 1 day, 10 hours, 31 minutes, 12 seconds.
• To count from 1 to 131,824,109,010,672 would take you about ten million, four hundred seventy-eight thousand, nine hundred ninety-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 131824109010672 cubic inches would be around 4241.2 feet tall.

Recreational maths with 131824109010672

• 131824109010672 backwards is 276010901428131
• The number of decimal digits it has is: 15
• The sum of 131824109010672's digits is 45
• More coming soon!