138423056269105152

Names of 138423056269105152

• Cardinal: 138423056269105152 can be written as One hundred thirty-eight quadrillion, four hundred twenty-three trillion, fifty-six billion, two hundred sixty-nine million, one hundred five thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 1.38423056269105152 × 10¹⁷

Factors of 138423056269105152

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 6111

Divisors of 138423056269105152

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1024 1062 1152 1416 1536 1888 2048 2124 2304 2832 3072 3481 3776 4248 4608 5664 6047 6144 6962 7552 8496 9216 10443 11328 12094 13924 15104 16992 18141 18432 20886 22656 24188 27848 30208 31329 33984 36282 41772 45312 48376 54423 55696 60416 62658 67968 72564 83544 90624 96752 108846 111392 120832 125316 135936 145128 167088 181248 193504 205379 217692 222784 250632 271872 290256 334176 356773 362496 387008 410758 435384 445568 501264 543744 580512 616137 668352 713546 774016 821516 870768 891136 1002528 1070319 1087488 1161024 1232274 1336704 1427092 1548032 1643032 1741536 1782272 1848411 2005056 2140638 2322048 2464548 2673408 2854184 3096064 3210957 3286064 3483072 3564544 3696822 4010112 4281276 4644096 4929096 5346816 5708368 6192128 6421914 6572128 6966144 7129088 7393644 8020224 8562552 9288192 9858192 10693632 11416736 12384256 12843828 13144256 13932288 14787288 16040448 17125104 18576384 19716384 21049607 21387264 22833472 25687656 26288512 27864576 29574576 32080896 34250208 36566209 37152768 39432768 42099214 45666944 51375312 52577024 55729152 59149152 63148821 64161792 68500416 73132418 78865536 84198428 91333888 102750624 105154048 109698627 111458304 118298304 126297642 137000832 146264836 157731072 168396856 182667776 189446463 205501248 210308096 219397254 236596608 252595284 274001664 292529672 315462144 329095881 336793712 365335552 378892926 411002496 420616192 438794508 473193216 505190568 548003328 585059344 630924288 658191762 673587424 730671104 757785852 822004992 877589016 946386432 1010381136 1096006656 1170118688 1241926813 1261848576 1316383524 1347174848 1515571704 1644009984 1755178032 1892772864 2020762272 2157406331 2192013312 2340237376 2483853626 2632767048 2694349696 3031143408 3288019968 3510356064 3725780439 3785545728 4041524544 4314812662 4680474752 4967707252 5265534096 5388699392 6062286816 6472218993 6576039936 7020712128 7451560878 8083049088 8629625324 9360949504 9935414504 10531068192 10777398784 11177341317 12124573632 12944437986 14041424256 14903121756 16166098176 17259250648 18721899008 19416656979 19870829008 21062136384 21554797568 22354682634 24249147264 25888875972 28082848512 29806243512 32332196352 34518501296 37443798016 38833313958 39741658016 42124272768 43109595136 44709365268 48498294528 51777751944 56165697024 59612487024 64664392704 69037002592 74887596032 77666627916 79483316032 84248545536 89418730536 96996589056 103555503888 112331394048 119224974048 127286973529 129328785408 138074005184 155333255832 158966632064 168497091072 178837461072 193993178112 207111007776 224662788096 238449948096 254573947058 276148010368 310666511664 317933264128 336994182144 357674922144 381860920587 387986356224 414222015552 476899896192 509147894116 552296020736 621333023328 635866528256 673988364288 715349844288 763721841174 828444031104 953799792384 1018295788232 1104592041472 1145582761761 1242666046656 1271733056512 1430699688576 1527443682348 1656888062208 1907599584768 2036591576464 2209184082944 2291165523522 2485332093312 2543466113024 2861399377152 3054887364696 3313776124416 3815199169536 4073183152928 4418368165888 4582331047044 4970664186624 5722798754304 6109774729392 6627552248832 7509931438211 7630398339072 8146366305856 9164662094088 9941328373248 11445597508608 12219549458784 13255104497664 15019862876422 16292732611712 18329324188176 19882656746496 22529794314633 22891195017216 24439098917568 30039725752844 32585465223424 36658648376352 39765313492992 45059588629266 48878197835136 60079451505688 65170930446848 67589382943899 73317296752704 90119177258532 97756395670272 120158903011376 130341860893696 135178765887798 146634593505408 180238354517064 195512791340544 240317806022752 260683721787392 270357531775596 293269187010816 360476709034128 391025582681088 480635612045504 540715063551192 586538374021632 720953418068256 782051165362176 961271224091008 1081430127102384 1173076748043264 1441906836136512 1922542448182016 2162860254204768 2346153496086528 2883813672273024 3845084896364032 4325720508409536 5767627344546048 7690169792728064 8651441016819072 11535254689092096 15380339585456128 17302882033638144 23070509378184192 34605764067276288 46141018756368384 69211528134552576 138423056269105152
• Sum of all divisors σ(n): 406751383263443400
• Sum of proper divisors (its aliquot sum) s(n): 268328326994338248
• 138423056269105152 is an abundant number, because the sum of its proper divisors (268328326994338248) is greater than itself. Its abundance is 129905270725233096

Bases of 138423056269105152

• Binary: 111101011110001110000100101001001101001001101100000000000₂
• Hexadecimal: 0x1EBC70949A4D800
• Base-36: 11UYVM6581S0

Squares and roots of 138423056269105152

• 138423056269105152 squared (138423056269105152²) is 19160942506879851122786606832943104
• 138423056269105152 cubed (138423056269105152³) is 2652316222798918363018316735821326425149216609271808
• The square root of 138423056269105152 is 372052491.2819495581
• The cube root of 138423056269105152 is 517292.4557146337

Scales and comparisons

• 138,423,056,269,105,152 seconds is equal to 4,401,425,018 years, 38 weeks, 8 hours, 19 minutes, 12 seconds.
• To count from 1 to 138,423,056,269,105,152 would take you about thirteen billion, two hundred four million, two hundred seventy-five thousand and fifty-six 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 138423056269105152 cubic inches would be around 43107.7 feet tall.

Recreational maths with 138423056269105152

• 138423056269105152 backwards is 251501962650324831
• The number of decimal digits it has is: 18
• The sum of 138423056269105152's digits is 63
• More coming soon!