21749593809825

Names of 21749593809825

• Cardinal: 21749593809825 can be written as Twenty-one trillion, seven hundred forty-nine billion, five hundred ninety-three million, eight hundred nine thousand, eight hundred twenty-five.

Scientific notation

• Scientific notation: 2.1749593809825 × 10¹³

Factors of 21749593809825

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 124

Divisors of 21749593809825

• Number of divisors d(n): 972
• Complete list of divisors:
  1 3 5 7 9 15 19 21 25 27 35 37 45 49 53 57 63 75 81 95 105 111 133 135 147 159 171 175 185 189 225 243 245 259 265 285 315 333 371 399 405 441 475 477 513 525 555 567 665 675 703 735 777 795 855 925 931 945 999 1007 1113 1197 1215 1225 1295 1323 1325 1369 1425 1431 1539 1575 1665 1701 1813 1855 1961 1995 2025 2109 2205 2331 2385 2565 2597 2775 2793 2809 2835 2997 3021 3325 3339 3515 3591 3675 3885 3969 3975 4107 4275 4293 4617 4655 4725 4921 4995 5035 5439 5565 5883 5985 6075 6327 6475 6615 6845 6993 7049 7155 7695 7791 8325 8379 8427 8505 8991 9063 9065 9275 9583 9805 9975 10017 10545 10773 11025 11655 11907 11925 12321 12825 12879 12985 13727 13965 14045 14175 14763 14985 15105 16317 16695 17575 17649 17955 18981 19425 19663 19845 20535 20979 21147 21465 23085 23275 23373 24605 24975 25137 25175 25281 26011 27189 27195 27825 28749 29415 29925 30051 31635 32319 33075 34225 34447 34965 35245 35775 36963 37259 38475 38955 41181 41895 42135 42525 44289 44955 45315 45325 47915 48951 49025 49343 50085 52725 52947 53371 53865 56943 58275 58989 59535 61605 62937 63441 64395 64925 67081 68635 69825 70119 70225 72557 73815 74925 75411 75525 75843 78033 81567 81585 83475 86247 88245 89775 90153 94905 96089 98315 99225 102675 103341 103933 104895 105735 107325 110889 111777 115425 116865 123025 123543 125685 126405 130055 132867 135945 135975 137641 143745 146853 147075 148029 150255 158175 158841 160113 161595 170829 172235 174825 176225 176967 182077 184815 186295 190323 194775 201243 205905 209475 210357 210675 217671 221445 224775 226233 226575 227529 234099 239575 244701 244755 246715 250425 258741 260813 264735 266855 269325 284715 288267 294945 297675 308025 310023 311799 314685 317205 321975 332667 335331 335405 343175 350595 362785 369075 370629 373597 377055 379215 390165 398601 407835 407925 412923 431235 440559 441225 444087 450765 474525 476523 480339 480445 491575 507899 516705 519665 524475 528675 530901 546231 554445 558885 570969 584325 603729 617715 628425 631071 632025 650275 653013 664335 679725 682587 688205 702297 718725 727531 734265 740145 751275 776223 782439 794205 800565 807975 854145 861175 864801 884835 910385 924075 930069 931475 935397 951615 1005993 1006215 1029525 1051785 1088355 1107225 1111887 1120791 1131165 1137645 1170495 1195803 1223505 1223775 1233575 1238769 1274539 1293705 1304065 1323675 1332261 1334275 1378583 1423575 1441017 1441335 1474725 1523697 1550115 1558995 1573425 1586025 1592703 1638693 1663335 1676655 1677025 1712907 1752975 1811187 1813925 1825691 1853145 1867985 1885275 1896075 1950825 1959039 1974727 1993005 2039175 2064615 2106891 2156175 2182593 2202795 2220435 2253825 2328669 2347317 2382615 2401695 2402225 2539495 2583525 2594403 2598325 2615179 2654505 2731155 2772225 2790207 2794425 2806191 2854845 3017979 3018645 3088575 3155355 3265065 3321675 3335661 3362373 3412935 3441025 3511485 3555293 3637655 3671325 3700725 3716307 3823617 3845521 3881115 3912195 3971025 3996783 4002825 4135749 4270725 4323051 4324005 4424175 4551925 4571091 4650345 4676985 4758075 4778109 4916079 5029965 5031075 5092717 5258925 5433561 5441775 5477073 5559435 5603955 5655825 5688225 5852475 5877117 5924181 5979015 6117525 6193845 6320673 6372695 6468525 6520325 6547779 6661305 6892915 7041951 7205085 7206675 7618485 7750575 7783209 7794975 7845537 7963515 8193465 8316675 8370621 8383275 8418573 8564535 9053937 9055935 9128455 9265725 9339925 9650081 9795195 9873635 9965025 10087119 10323075 10534455 10665879 10912965 11013975 11102175 11148921 11470851 11536563 11643345 11736585 11913075 11990349 12008475 12407247 12697475 12969153 12972015 13075895 13272525 13655775 13713273 13823089 13951035 14030955 14274225 14748237 15089895 15093225 15278151 15776775 16300683 16325325 16431219 16678305 16811865 17064675 17557425 17631351 17772543 17776465 18188275 18581535 19118085 19227605 19405575 19560975 19643337 19983915 20678745 21125853 21615255 21620025 22855455 23251725 23349627 23384925 23536611 23890545 24580395 25149825 25255719 25463585 26918647 27167805 27385365 27797175 28019775 28950243 29385585 29620905 29895075 30261357 30969225 31603365 31863475 31997637 32738895 33306525 33446763 34412553 34464575 34609689 35209755 36025425 37221741 38092425 38916045 39227685 39817575 40967325 41139819 41469267 41853105 42092865 42822675 44244711 45269685 45279675 45642275 45834453 48250405 48975975 49293657 49368175 50435595 52672275 53317629 53329395 54564825 55744605 57354255 57682815 58216725 58682925 58930011 59951745 62036235 63377559 64845765 64860075 65379475 67550567 68566365 69115445 69755175 70154775 70609833 73064899 73741185 75449475 76390755 80755941 81503415 82156095 83391525 84059325 86850729 88156755 88862715 88882325 90784071 92907675 95590425 95992911 96138025 96761623 98216685 99919575 103237659 103393725 103829067 105629265 108076275 111665223 114277275 116748135 117683055 119452725 122901975 123419457 124407801 126278595 127317925 134593235 135839025 136926825 137503359 144751215 146927925 147880971 148104525 151306785 158016825 159952887 159988185 163694475 167233815 172062765 173048445 176048775 176790033 186108705 188430529 194580225 196138425 202651701 205699095 207346335 209265525 210464325 211829499 219194697 221223555 226348425 229172265 241252025 242267823 246468285 252177975 260552187 266588145 266646975 278723025 286771275 287978733 288414075 290284869 294650055 299758725 309712977 310181175 311487201 316887795 324228825 334995669 337752835 342831825 345577225 353049165 365324495 368705925 373223403 381953775 403779705 407517075 410780475 412510077 434253645 440783775 443642913 444313575 453920355 479858661 479964555 483808115 491083425 511454293 516188295 519145335 528146325 558326115 565291587 583740675 588415275 607955103 617097285 622039005 631392975 635488497 657584091 672966175 687516795 723756075 726803469 739404855 756533925 781656561 799764435 799940925 836169075 860313825 863936199 865242225 870854607 883950165 930543525 934461603 942152645 1013258505 1028495475 1036731675 1059147495 1095973485 1106117775 1119670209 1145861325 1211339115 1232341425 1237530231 1302760935 1332940725 1439893665 1451424345 1473250275 1534362879 1548564885 1557436005 1584438975 1674978345 1688764175 1695874761 1765245825 1823865309 1826622475 1866117015 1972752273 2018898525 2062550385 2171268225 2180410407 2218214565 2269601775 2344969683 2399293305 2399822775 2419040575 2557271465 2580941475 2595726675 2612563821 2791630575 2826457935 3039775515 3085486425 3110195025 3177442485 3287920455 3359010627 3437583975 3580180051 3634017345 3697024275 3908282805 3998822175 4319680995 4354273035 4419750825 4603088637 4672308015 4710763225 5066292525 5087624283 5295737475 5471595927 5479867425 5598351045 5918256819 6056695575 6187651155 6513804675 6541231221 7199468325 7257121725 7671814395 7742824425 7787180025 7837691463 8374891725 8479373805 9119326545 9330585075 9863761365 10312751925 10740540153 10902052035 11091072825 11724848415 11996466525 12786357325 13062819105 13809265911 14132289675 15198877575 15262872849 15887212425 16414787781 16439602275 16795053135 17754770457 17900900255 18170086725 19541414025 21598404975 21771365175 23015443185 23361540075 23513074389 25438121415 27357979635 27991755225 29591284095 30938255775 32221620459 32706156105 38359071975 39188457315 41427797733 42396869025 45596632725 45788618547 49318806825 53702700765 54510260175 58624242075 65314095525 69046329555 76314364245 82073938905 83975265675 88773852285 89504501275 96664861377 115077215925 117565371945 124283393199 127190607075 136789898175 147956420475 161108102295 163530780525 195942286575 207138988665 228943092735 268513503825 289994584131 345231647775 381571821225 410369694525 443869261425 483324306885 587826859725 621416965995 805540511475 869983752393 1035694943325 1144715463675 1449972920655 2416621534425 3107084829975 4349918761965 7249864603275 21749593809825
• Sum of all divisors σ(n): 51818325446160
• Sum of proper divisors (its aliquot sum) s(n): 30068731636335
• 21749593809825 is an abundant number, because the sum of its proper divisors (30068731636335) is greater than itself. Its abundance is 8319137826510

Bases of 21749593809825

• Binary: 100111100011111111000110100000010001110100001₂
• Hexadecimal: 0x13C7F8D023A1
• Base-36: 7PJMILH29

Squares and roots of 21749593809825

• 21749593809825 squared (21749593809825²) is 473044830892377958266530625
• 21749593809825 cubed (21749593809825³) is 10288532925746577571888006668978788390625
• The square root of 21749593809825 is 4663645.9781832711
• The cube root of 21749593809825 is 27913.6770896707

Scales and comparisons

• 21,749,593,809,825 seconds is equal to 691,569 years, 41 weeks, 6 days, 20 hours, 3 minutes, 45 seconds.
• To count from 1 to 21,749,593,809,825 would take you about one million, seven hundred twenty-eight thousand, nine hundred twenty-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 21749593809825 cubic inches would be around 2326.1 feet tall.

Recreational maths with 21749593809825

• 21749593809825 backwards is 52890839594712
• The number of decimal digits it has is: 14
• The sum of 21749593809825's digits is 72
• More coming soon!