13906982763037728

Names of 13906982763037728

• Cardinal: 13906982763037728 can be written as Thirteen quadrillion, nine hundred six trillion, nine hundred eighty-two billion, seven hundred sixty-three million, thirty-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3906982763037728 × 10¹⁶

Factors of 13906982763037728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 16418833

Divisors of 13906982763037728

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 49 52 54 56 57 63 72 76 78 81 84 91 96 98 104 108 112 114 117 126 133 144 147 152 156 162 168 171 182 189 196 208 216 224 228 234 243 247 252 266 273 288 294 304 312 324 336 342 351 364 378 392 399 416 432 441 456 468 486 494 504 513 532 546 567 588 608 624 637 648 672 684 702 728 729 741 756 784 798 819 864 882 912 931 936 972 988 1008 1026 1053 1064 1092 1134 1176 1197 1248 1274 1296 1323 1368 1404 1456 1458 1482 1512 1539 1568 1596 1638 1701 1729 1764 1824 1862 1872 1911 1944 1976 2016 2052 2106 2128 2184 2187 2223 2268 2352 2394 2457 2548 2592 2646 2736 2793 2808 2912 2916 2964 3024 3078 3159 3192 3276 3402 3458 3528 3591 3724 3744 3822 3888 3952 3969 4104 4212 4256 4368 4374 4446 4536 4617 4704 4788 4914 5096 5103 5187 5292 5472 5586 5616 5733 5832 5928 6048 6156 6318 6384 6552 6669 6804 6916 7056 7182 7371 7448 7644 7776 7904 7938 8208 8379 8424 8736 8748 8892 9072 9234 9477 9576 9828 10192 10206 10374 10584 10773 11172 11232 11466 11664 11856 11907 12103 12312 12636 12768 13104 13338 13608 13832 13851 14112 14364 14742 14896 15288 15309 15561 15876 16416 16758 16848 17199 17496 17784 18144 18468 18954 19152 19656 20007 20384 20412 20748 21168 21546 22113 22344 22932 23328 23712 23814 24206 24624 25137 25272 26208 26676 27216 27664 27702 28431 28728 29484 29792 30576 30618 31122 31752 32319 33516 33696 34398 34992 35568 35721 36309 36936 37908 38304 39312 40014 40824 41496 41553 42336 43092 44226 44688 45864 46683 47628 48412 49248 50274 50544 51597 53352 54432 55328 55404 56862 57456 58968 60021 61152 61236 62244 63504 64638 66339 67032 68796 69984 71136 71442 72618 73872 75411 75816 78624 80028 81648 82992 83106 86184 88452 89376 91728 93366 95256 96824 96957 100548 101088 103194 106704 107163 108927 110808 113724 114912 117936 120042 122472 124488 127008 129276 132678 134064 137592 140049 142884 145236 147744 150822 151632 154791 160056 163296 165984 166212 172368 176904 180063 183456 186732 190512 193648 193914 199017 201096 206388 213408 214326 217854 221616 226233 227448 235872 240084 244944 248976 258552 265356 268128 275184 280098 285768 290472 290871 301644 303264 309582 320112 326781 332424 344736 353808 360126 373464 381024 387296 387828 398034 402192 412776 420147 428652 435708 443232 452466 454896 464373 480168 489888 497952 517104 530712 540189 550368 560196 571536 580944 581742 603288 619164 640224 653562 664848 678699 707616 720252 746928 775656 796068 804384 825552 840294 857304 871416 904932 909792 928746 960336 980343 1034208 1061424 1080378 1120392 1143072 1161888 1163484 1206576 1238328 1260441 1307124 1329696 1357398 1393119 1440504 1493856 1551312 1592136 1651104 1680588 1714608 1742832 1809864 1857492 1920672 1960686 2036097 2122848 2160756 2240784 2326968 2413152 2476656 2520882 2614248 2714796 2786238 2881008 2941029 3102624 3184272 3361176 3429216 3485664 3619728 3714984 3781323 3921372 4072194 4321512 4481568 4653936 4953312 5041764 5228496 5429592 5572476 5762016 5882058 6368544 6722352 7239456 7429968 7562646 7842744 8144388 8643024 8823087 9307872 10083528 10456992 10859184 11144952 11764116 13444704 14859936 15125292 15685488 16288776 16418789 17286048 17646174 20167056 21718368 22289904 23528232 26469261 30250584 31370976 32577552 32837578 35292348 40334112 44579808 47056464 49256367 52938522 60501168 65155104 65675156 70584696 94112928 98512734 105877044 114931523 121002336 131350312 141169392 147769101 197025468 211754088 213444257 229863046 262700624 282338784 295538202 311956991 344794569 394050936 423508176 426888514 443307303 459726092 525401248 591076404 623913982 640332771 689589138 788101872 804520661 847016352 853777028 886614606 919452184 935870973 1034383707 1182152808 1247827964 1280665542 1329921909 1379178276 1494109799 1576203744 1609041322 1707554056 1773229212 1838904368 1871741946 1920998313 2068767414 2183698937 2364305616 2413561983 2495655928 2561331084 2659843818 2758356552 2807612919 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8175768820128 8490221467056 8713648347768 8869249211121 9036376064352 9197739922644 9383928989904 9538396956816 9551499150438 9905258378232 10165923072396 10511702768736 10730696576418 10915999029072 11143415675511 11618197797024 11825665614828 12263653230192 12735332200584 13070472521652 13207011170976 13554564096528 13796609883966 14075893484856 14307595435224 14857887567348 14937682881888 15248884608594 15767554153104 16096044864627 16980442934112 17427296695536 17738498422242 18395479845288 18767857979808 19076793913632 19102998300876 19810516756464 20331846144792 20694914825949 21461393152836 21831998058144 22286831351022 22873326912891 23651331229656 24527306460384 25470664401168 26140945043304 27109128193056 27593219767932 28151786969712 28615190870448 29715775134696 30497769217188 31535108306208 32192089729254 33430247026533 34854593391072 35476996844484 36790959690576 38205996601752 39621033512928 40663692289584 41389829651898 42922786305672 44573662702044 45746653825782 47302662459312 48288134593881 50941328802336 52281890086608 55186439535864 56303573939424 57230381740896 59431550269392 60995538434376 62084744477847 64384179458508 66860494053066 70953993688968 73581919381152 76411993203504 81327384579168 82779659303796 85845572611344 89147325404088 91493307651564 94605324918624 96576269187762 104563780173216 110372879071728 118863100538784 121991076868752 124169488955694 128768358917016 133720988106132 141907987377936 144864403781643 152823986407008 165559318607592 171691145222688 178294650808176 182986615303128 193152538375524 220745758143456 243982153737504 248338977911388 257536717834032 267441976212264 283815974755872 289728807563286 331118637215184 356589301616352 365973230606256 386305076751048 434593211344929 496677955822776 515073435668064 534883952424528 579457615126572 662237274430368 731946461212512 772610153502096 869186422689858 993355911645552 1069767904849056 1158915230253144 1545220307004192 1738372845379716 1986711823291104 2317830460506288 3476745690759432 4635660921012576 6953491381518864 13906982763037728
• Sum of all divisors σ(n): 54148749098976000
• Sum of proper divisors (its aliquot sum) s(n): 40241766335938272
• 13906982763037728 is an abundant number, because the sum of its proper divisors (40241766335938272) is greater than itself. Its abundance is 26334783572900544

Bases of 13906982763037728

• Binary: 110001011010000101001110111111011111010000010000100000₂
• Hexadecimal: 0x316853BF7D0420
• Base-36: 3SXM3OLGI00

Squares and roots of 13906982763037728

• 13906982763037728 squared (13906982763037728²) is 193404169571428479460366351401984
• 13906982763037728 cubed (13906982763037728³) is 2689668452529481713652205244285673073707486052352
• The square root of 13906982763037728 is 117927871.0188466347
• The cube root of 13906982763037728 is 240479.2666173535

Scales and comparisons

• 13,906,982,763,037,728 seconds is equal to 442,199,034 years, 38 weeks, 4 days, 6 hours, 28 minutes, 48 seconds.
• To count from 1 to 13,906,982,763,037,728 would take you about one billion, three hundred twenty-six million, five hundred ninety-seven thousand, one hundred four 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 13906982763037728 cubic inches would be around 20039.9 feet tall.

Recreational maths with 13906982763037728

• 13906982763037728 backwards is 82773036728960931
• 13906982763037728 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13906982763037728's digits is 81
• More coming soon!