138602217889090048

Names of 138602217889090048

• Cardinal: 138602217889090048 can be written as One hundred thirty-eight quadrillion, six hundred two trillion, two hundred seventeen billion, eight hundred eighty-nine million, ninety thousand and forty-eight.

Scientific notation

• Scientific notation: 1.38602217889090048 × 10¹⁷

Factors of 138602217889090048

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 68

Divisors of 138602217889090048

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 8 16 23 32 43 46 64 86 92 128 172 184 256 344 368 512 529 688 736 989 1058 1376 1472 1849 1978 2116 2752 2944 3698 3956 4232 5504 5888 7396 7912 8464 11008 11776 12167 14792 15824 16928 22016 22747 24334 29584 31648 33856 42527 45494 48668 59168 63296 67712 79507 85054 90988 97336 118336 126592 135424 159014 170108 181976 194672 236672 253184 270848 279841 318028 340216 363952 389344 473344 506368 523181 559682 636056 680432 727904 778688 946688 978121 1046362 1119364 1272112 1360864 1455808 1557376 1828661 1956242 2092724 2238728 2544224 2721728 2911616 3114752 3657322 3912484 4185448 4477456 5088448 5443456 5823232 6229504 6436343 7314644 7824968 8370896 8954912 10176896 10886912 11646464 12033163 12872686 14629288 15649936 16741792 17909824 20353792 21773824 22496783 24066326 25745372 29258576 31299872 33483584 35819648 40707584 42059203 44993566 48132652 51490744 58517152 62599744 66967168 71639296 84118406 89987132 96265304 102981488 117034304 125199488 133934336 143278592 148035889 168236812 179974264 192530608 205962976 234068608 250398976 267868672 276762749 296071778 336473624 359948528 385061216 411925952 468137216 500797952 517426009 553525498 592143556 672947248 719897056 770122432 823851904 936274432 967361669 1034852018 1107050996 1184287112 1345894496 1439794112 1540244864 1647703808 1934723338 2069704036 2214101992 2368574224 2691788992 2879588224 3080489728 3295407616 3404825447 3869446676 4139408072 4428203984 4737148448 5383577984 5759176448 6160979456 6365543227 6809650894 7738893352 8278816144 8856407968 9474296896 10767155968 11518352896 11900798207 12731086454 13619301788 15477786704 16557632288 17712815936 18948593792 21534311936 22249318387 23801596414 25462172908 27238603576 30955573408 33115264576 35425631872 37897187584 44498636774 47603192828 50924345816 54477207152 61911146816 66230529152 70851263744 75794375168 88997273548 95206385656 101848691632 108954414304 123822293632 132461058304 141702527488 146407494221 177994547096 190412771312 203697383264 217908828608 247644587264 264922116608 273718358761 292814988442 355989094192 380825542624 407394766528 435817657216 495289174528 511734322901 547436717522 585629976884 711978188384 761651085248 814789533056 871635314432 1023468645802 1094873435044 1171259953768 1423956376768 1523302170496 1629579066112 1743270628864 2046937291604 2189746870088 2342519907536 2847912753536 3046604340992 3259158132224 4093874583208 4379493740176 4685039815072 5695825507072 6093208681984 6295522251503 8187749166416 8758987480352 9370079630144 11391651014144 11769889426723 12591044503006 16375498332832 17517974960704 18740159260288 23539778853446 25182089006012 32750996665664 35035949921408 37480318520576 47079557706892 50364178012024 65501993331328 70071899842816 74960637041152 94159115413784 100728356024048 131003986662656 140143799685632 188318230827568 201456712048096 262007973325312 270707456814629 376636461655136 402913424096192 541414913629258 753272923310272 805826848192384 1082829827258516 1506545846620544 1611653696384768 2165659654517032 3013091693241088 3223307392769536 4331319309034064 6026183386482176 8662638618068128 17325277236136256 34650554472272512 69301108944545024 138602217889090048
• Sum of all divisors σ(n): 296414910383328000
• Sum of proper divisors (its aliquot sum) s(n): 157812692494237952
• 138602217889090048 is an abundant number, because the sum of its proper divisors (157812692494237952) is greater than itself. Its abundance is 19210474605147904

Bases of 138602217889090048

• Binary: 111101100011010011111101110011010010111000100101000000000₂
• Hexadecimal: 0x1EC69FB9A5C4A00
• Base-36: 11WQDVVRY2V4

Squares and roots of 138602217889090048

• 138602217889090048 squared (138602217889090048²) is 19210574803774793321353945452642304
• 138602217889090048 cubed (138602217889090048³) is 2662628274727457197452171856705950629867095790190592
• The square root of 138602217889090048 is 372293188.0777434369
• The cube root of 138602217889090048 is 517515.5375254685

Scales and comparisons

• 138,602,217,889,090,048 seconds is equal to 4,407,121,804 years, 3 weeks, 2 days, 6 hours, 47 minutes, 28 seconds.
• To count from 1 to 138,602,217,889,090,048 would take you about thirteen billion, two hundred twenty-one million, three hundred sixty-five thousand, four hundred twelve 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 138602217889090048 cubic inches would be around 43126.3 feet tall.

Recreational maths with 138602217889090048

• 138602217889090048 backwards is 840090988712206831
• The number of decimal digits it has is: 18
• The sum of 138602217889090048's digits is 76
• More coming soon!