138824040551040

Names of 138824040551040

• Cardinal: 138824040551040 can be written as One hundred thirty-eight trillion, eight hundred twenty-four billion, forty million, five hundred fifty-one thousand and forty.

Scientific notation

• Scientific notation: 1.3882404055104 × 10¹⁴

Factors of 138824040551040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1078721

Divisors of 138824040551040

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 128 130 135 144 156 160 162 180 191 192 195 208 216 234 240 260 270 288 312 320 324 351 360 382 384 390 405 416 432 468 480 520 540 573 576 585 624 640 648 702 720 764 780 810 832 864 936 955 960 1040 1053 1080 1146 1152 1170 1248 1296 1404 1440 1528 1560 1620 1664 1719 1728 1755 1872 1910 1920 2080 2106 2160 2292 2340 2483 2496 2592 2808 2865 2880 3056 3120 3240 3438 3456 3510 3744 3820 4160 4212 4320 4584 4680 4966 4992 5157 5184 5265 5616 5730 5760 6112 6240 6480 6876 7020 7449 7488 7640 8320 8424 8595 8640 9168 9360 9932 10314 10368 10530 11232 11460 12224 12415 12480 12960 13752 14040 14898 14976 15280 15471 16848 17190 17280 18336 18720 19864 20628 21060 22347 22464 22920 24448 24830 24960 25785 25920 27504 28080 29796 30560 30942 33696 34380 36672 37245 37440 39728 41256 42120 44694 44928 45840 49660 51570 51840 55008 56160 59592 61120 61884 67041 67392 68760 73344 74490 74880 77355 79456 82512 84240 89388 91680 99320 103140 110016 111735 112320 119184 122240 123768 134082 134784 137520 148980 154710 158912 165024 168480 178776 183360 198640 201123 206280 220032 223470 224640 238368 247536 268164 275040 297960 309420 317824 330048 335205 336960 357552 366720 397280 402246 412560 446940 476736 495072 536328 550080 595920 618840 660096 670410 673920 715104 794560 804492 825120 893880 953472 990144 1005615 1072656 1078507 1100160 1191840 1237680 1340820 1430208 1589120 1608984 1650240 1787760 1980288 2011230 2145312 2157014 2383680 2475360 2681640 2860416 3217968 3235521 3300480 3575520 4022460 4290624 4314028 4767360 4950720 5363280 5392535 6435936 6471042 7151040 8044920 8581248 8628056 9706563 9901440 10726560 10785070 12871872 12942084 14020591 14302080 16089840 16177605 17256112 19413126 21453120 21570140 25743744 25884168 28041182 29119689 32179680 32355210 34512224 38826252 42061773 42906240 43140280 48532815 51768336 56082364 58239378 64359360 64710420 69024448 70102955 77652504 84123546 86280560 87359067 97065630 103536672 112164728 116478756 126185319 128718720 129420840 138048896 140205910 145598445 155305008 168247092 172561120 174718134 194131260 205994837 207073344 210308865 224329456 232957512 252370638 258841680 280411820 291196890 310610016 336494184 345122240 349436268 378555957 388262520 411989674 414146688 420617730 436795335 448658912 465915024 504741276 517683360 560823640 582393780 617984511 621220032 630926595 672988368 690244480 698872536 757111914 776525040 823979348 841235460 873590670 897317824 931830048 1009482552 1029974185 1035366720 1121647280 1135667871 1164787560 1235969022 1242440064 1261853190 1345976736 1397745072 1514223828 1553050080 1647958696 1682470920 1747181340 1794635648 1853953533 1863660096 1892779785 2018965104 2059948370 2070733440 2243294560 2271335742 2329575120 2471938044 2523706380 2677932881 2691953472 2795490144 3028447656 3089922555 3106100160 3295917392 3364941840 3494362680 3707907066 3727320192 3785559570 4037930208 4119896740 4486589120 4542671484 4659150240 4943876088 5047412760 5355865762 5383906944 5561860599 5590980288 5678339355 6056895312 6179845110 6212200320 6591834784 6729883680 6988725360 7415814132 7571119140 8033798643 8075860416 8239793480 8973178240 9085342968 9269767665 9318300480 9887752176 10094825520 10711731524 11123721198 11181960576 11356678710 12113790624 12359690220 13183669568 13389664405 13459767360 13977450720 14831628264 15142238280 16067597286 16151720832 16479586960 16685581797 18170685936 18539535330 18636600960 19775504352 20189651040 21423463048 22247442396 22713357420 24101395929 24227581248 24719380440 26367339136 26779328810 26919534720 27809302995 27954901440 29663256528 30284476560 32135194572 32959173920 33371163594 36341371872 37079070660 39551008704 40168993215 40379302080 42846926096 44494884792 45426714840 48202791858 48455162496 49438760880 53558657620 55618605990 55909802880 59326513056 60568953120 64270389144 65918347840 66742327188 72304187787 72682743744 74158141320 79102017408 80337986430 80758604160 83427908985 85693852192 88989769584 90853429680 96405583716 98877521760 107117315240 111237211980 118653026112 120506979645 121137906240 128540778288 131836695680 133484654376 144608375574 145365487488 148316282640 160675972860 166855817970 171387704384 177979539168 181706859360 192811167432 197755043520 214234630480 216912563361 222474423960 237306052224 241013959290 242275812480 257081556576 266969308752 289216751148 296632565280 321351945720 333711635940 342775408768 355959078336 361520938935 363413718720 385622334864 395510087040 428469260960 433825126722 444948847920 482027918580 514163113152 533938617504 578433502296 593265130560 642703891440 667423271880 711918156672 723041877870 726827437440 771244669728 856938521920 867650253444 889897695840 964055837160 1028326226304 1067877235008 1084562816805 1156867004592 1186530261120 1285407782880 1334846543760 1446083755740 1542489339456 1713877043840 1735300506888 1779795391680 1928111674320 2135754470016 2169125633610 2313734009184 2570815565760 2669693087520 2892167511480 3084978678912 3470601013776 3559590783360 3856223348640 4338251267220 4627468018368 5141631131520 5339386175040 5784335022960 6941202027552 7712446697280 8676502534440 9254936036736 10678772350080 11568670045920 13882404055104 15424893394560 17353005068880 23137340091840 27764808110208 34706010137760 46274680183680 69412020275520 138824040551040
• Sum of all divisors σ(n): 536697332075520
• Sum of proper divisors (its aliquot sum) s(n): 397873291524480
• 138824040551040 is an abundant number, because the sum of its proper divisors (397873291524480) is greater than itself. Its abundance is 259049250973440

Bases of 138824040551040

• Binary: 11111100100001001111101100111111001001010000000₂
• Hexadecimal: 0x7E427D9F9280
• Base-36: 1D7IVTEW00

Squares and roots of 138824040551040

• 138824040551040 squared (138824040551040²) is 19272114234916798306845081600
• 138824040551040 cubed (138824040551040³) is 2675432768052364832829946420845577764864000
• The square root of 138824040551040 is 11782361.4165853867
• The cube root of 138824040551040 is 51779.1472232869

Scales and comparisons

• 138,824,040,551,040 seconds is equal to 4,414,175 years, 4 weeks, 14 hours, 24 minutes.
• To count from 1 to 138,824,040,551,040 would take you about eleven million, thirty-five thousand, four hundred thirty-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 138824040551040 cubic inches would be around 4314.9 feet tall.

Recreational maths with 138824040551040

• 138824040551040 backwards is 040155040428831
• 138824040551040 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138824040551040's digits is 45
• More coming soon!