138087068388950016

Names of 138087068388950016

• Cardinal: 138087068388950016 can be written as One hundred thirty-eight quadrillion, eighty-seven trillion, sixty-eight billion, three hundred eighty-eight million, nine hundred fifty thousand and sixteen.

Scientific notation

• Scientific notation: 1.38087068388950016 × 10¹⁷

Factors of 138087068388950016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 28231

Divisors of 138087068388950016

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 378 384 392 432 441 448 504 512 576 588 672 756 768 784 864 882 896 1008 1024 1152 1176 1323 1344 1512 1536 1568 1728 1764 1792 2016 2048 2304 2352 2646 2688 3024 3072 3136 3456 3528 3584 4032 4096 4608 4704 5292 5376 6048 6144 6272 6912 7056 7168 8064 8192 9216 9408 10584 10752 12096 12288 12544 13824 14112 14336 16128 16384 18432 18816 21168 21504 24192 24576 25088 27648 28219 28224 28672 32256 32768 36864 37632 42336 43008 48384 49152 50176 55296 56438 56448 57344 64512 65536 73728 75264 84657 84672 86016 96768 98304 100352 110592 112876 112896 114688 129024 131072 147456 150528 169314 169344 172032 193536 196608 197533 200704 221184 225752 225792 229376 253971 258048 294912 301056 338628 338688 344064 387072 393216 395066 401408 442368 451504 451584 458752 507942 516096 589824 592599 602112 677256 677376 688128 761913 774144 790132 802816 884736 903008 903168 917504 1015884 1032192 1179648 1185198 1204224 1354512 1354752 1376256 1382731 1523826 1548288 1580264 1605632 1769472 1777797 1806016 1806336 2031768 2064384 2370396 2408448 2709024 2709504 2752512 2765462 3047652 3096576 3160528 3211264 3538944 3555594 3612032 3612672 4063536 4128768 4148193 4740792 4816896 5333391 5418048 5419008 5530924 6095304 6193152 6321056 6422528 7111188 7224064 7225344 8127072 8257536 8296386 9481584 9633792 10666782 10836096 10838016 11061848 12190608 12386304 12444579 12642112 14222376 14448128 14450688 16254144 16592772 18963168 19267584 21333564 21672192 21676032 22123696 24381216 24772608 24889158 25284224 28444752 28896256 28901376 32508288 33185544 37333737 37926336 42667128 43344384 43352064 44247392 48762432 49778316 50568448 56889504 57792512 57802752 65016576 66371088 74667474 75852672 85334256 86688768 86704128 88494784 97524864 99556632 101136896 113779008 115585024 130033152 132742176 149334948 151705344 170668512 173377536 173408256 176989568 195049728 199113264 202273792 227558016 231170048 260066304 265484352 298669896 303410688 341337024 346755072 353979136 390099456 398226528 404547584 455116032 462340096 520132608 530968704 597339792 606821376 682674048 693510144 707958272 780198912 796311961 796453056 809095168 910232064 924680192 1040265216 1061937408 1194679584 1213642752 1365348096 1387020288 1415916544 1560397824 1592623922 1592906112 1618190336 1820464128 1849360384 2080530432 2123874816 2388935883 2389359168 2427285504 2730696192 2774040576 2831833088 3120795648 3185247844 3185812224 3236380672 3640928256 3698720768 4161060864 4247749632 4777871766 4778718336 4854571008 5461392384 5548081152 5574183727 5663666176 6241591296 6370495688 6371624448 6472761344 7166807649 7281856512 8322121728 8495499264 9555743532 9557436672 9709142016 10922784768 11096162304 11148367454 11327332352 12483182592 12740991376 12743248896 12945522688 14333615298 14563713024 16644243456 16722551181 16990998528 19111487064 19114873344 19418284032 21500422947 21845569536 22296734908 22654664704 24966365184 25481982752 25486497792 25891045376 28667230596 29127426048 33288486912 33445102362 33981997056 38222974128 38229746688 38836568064 39019286089 43000845894 43691139072 44593469816 45309329408 49932730368 50167653543 50963965504 50972995584 57334461192 58254852096 66890204724 67963994112 76445948256 76459493376 77673136128 78038572178 86001691788 87382278144 89186939632 90618658816 99865460736 100335307086 101927931008 101945991168 114668922384 116509704192 117057858267 133780409448 135927988224 150502960629 152891896512 152918986752 156077144356 172003383576 174764556288 178373879264 181237317632 200670614172 203855862016 203891982336 229337844768 233019408384 234115716534 267560818896 271855976448 301005921258 305783793024 305837973504 312154288712 344006767152 349529112576 351173574801 356747758528 401341228344 407711724032 407783964672 458675689536 468231433068 535121637792 543711952896 602011842516 611567586048 611675947008 624308577424 688013534304 699058225152 702347149602 713495517056 802682456688 815423448064 815567929344 917351379072 936462866136 1053520724403 1070243275584 1204023685032 1223135172096 1223351894016 1248617154848 1376027068608 1404694299204 1426991034112 1605364913376 1630846896128 1631135858688 1834702758144 1872925732272 2107041448806 2140486551168 2408047370064 2446270344192 2446703788032 2497234309696 2752054137216 2809388598408 2853982068224 3210729826752 3261693792256 3669405516288 3745851464544 4214082897612 4280973102336 4816094740128 4892540688384 4893407576064 4994468619392 5504108274432 5618777196816 5707964136448 6421459653504 6523387584512 7338811032576 7491702929088 8428165795224 8561946204672 9632189480256 9785081376768 9988937238784 11008216548864 11237554393632 11415928272896 12842919307008 13046775169024 14677622065152 14983405858176 16856331590448 17123892409344 19264378960512 19570162753536 19977874477568 22016433097728 22475108787264 22831856545792 25685838614016 26093550338048 29355244130304 29966811716352 33712663180896 34247784818688 38528757921024 39140325507072 39955748955136 44032866195456 44950217574528 45663713091584 51371677228032 52187100676096 58710488260608 59933623432704 67425326361792 68495569637376 77057515842048 78280651014144 79911497910272 88065732390912 89900435149056 91327426183168 102743354456064 104374201352192 117420976521216 119867246865408 134850652723584 136991139274752 154115031684096 156561302028288 159822995820544 176131464781824 179800870298112 182654852366336 205486708912128 234841953042432 239734493730816 269701305447168 273982278549504 308230063368192 313122604056576 319645991641088 352262929563648 359601740596224 365309704732672 410973417824256 469683906084864 479468987461632 539402610894336 547964557099008 616460126736384 639291983282176 704525859127296 719203481192448 730619409465344 821946835648512 939367812169728 958937974923264 1078805221788672 1095929114198016 1232920253472768 1278583966564352 1409051718254592 1438406962384896 1643893671297024 1917875949846528 2157610443577344 2191858228396032 2465840506945536 2557167933128704 2818103436509184 2876813924769792 3287787342594048 3835751899693056 4315220887154688 4931681013891072 5114335866257408 5753627849539584 6575574685188096 7671503799386112 8630441774309376 9863362027782144 11507255699079168 15343007598772224 17260883548618752 19726724055564288 23014511398158336 34521767097237504 46029022796316672 69043534194475008 138087068388950016
• Sum of all divisors σ(n): 475961409274773240
• Sum of proper divisors (its aliquot sum) s(n): 337874340885823224
• 138087068388950016 is an abundant number, because the sum of its proper divisors (337874340885823224) is greater than itself. Its abundance is 199787272496873208

Bases of 138087068388950016

• Binary: 111101010100101010111010100000011011001100000000000000000₂
• Hexadecimal: 0x1EA957503660000
• Base-36: 11RNS3GWBUO0

Squares and roots of 138087068388950016

• 138087068388950016 squared (138087068388950016²) is 19068038456254558767268290946400256
• 138087068388950016 cubed (138087068388950016³) is 2633049530351952144454598598761298545384442713604096
• The square root of 138087068388950016 is 371600684.0533935509
• The cube root of 138087068388950016 is 516873.5832802063

Scales and comparisons

• 138,087,068,388,950,016 seconds is equal to 4,390,741,643 years, 21 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,087,068,388,950,016 would take you about thirteen billion, one hundred seventy-two million, two hundred twenty-four thousand, nine hundred thirty 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 138087068388950016 cubic inches would be around 43072.8 feet tall.

Recreational maths with 138087068388950016

• 138087068388950016 backwards is 610059883860780831
• The number of decimal digits it has is: 18
• The sum of 138087068388950016's digits is 81
• More coming soon!