138561018009408

Names of 138561018009408

• Cardinal: 138561018009408 can be written as One hundred thirty-eight trillion, five hundred sixty-one billion, eighteen million, nine thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.38561018009408 × 10¹⁴

Factors of 138561018009408

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 5687

Divisors of 138561018009408

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 243 248 279 288 324 372 432 486 496 558 576 648 729 744 837 864 972 992 1116 1296 1458 1488 1674 1728 1944 1984 2187 2232 2511 2592 2916 2976 3348 3888 4374 4464 5022 5184 5651 5832 5952 6696 7533 7776 8748 8928 10044 11302 11664 13392 15066 15552 16953 17496 17856 20088 22599 22604 23328 26784 30132 33906 34992 40176 45198 45208 46656 50859 53568 60264 67797 67812 69984 80352 90396 90416 101718 120528 135594 135624 139968 152577 160704 175181 180792 180832 203436 241056 271188 271248 305154 350362 361584 361664 406872 457731 482112 525543 542376 542496 610308 700724 723168 813744 915462 1051086 1084752 1084992 1220616 1373193 1401448 1446336 1576629 1627488 1830924 2102172 2169504 2441232 2746386 2802896 3153258 3254976 3661848 4119579 4204344 4339008 4729887 4882464 5492772 5605792 6306516 7323696 8239158 8408688 9459774 9764928 10985544 11211584 12358737 12613032 14189661 14647392 16478316 16817376 18919548 21971088 24717474 25226064 28379322 29294784 31933801 32956632 33634752 37839096 42568983 43942176 49434948 50452128 56758644 63867602 65913264 75678192 85137966 87884352 95801403 98869896 100904256 113517288 127706949 127735204 131826528 151356384 170275932 191602806 197739792 227034576 255413898 255470408 263653056 287404209 302712768 340551864 383120847 383205612 395479584 454069152 510827796 510940816 574808418 681103728 766241694 766411224 790959168 862212627 908138304 989947831 1021655592 1021881632 1149616836 1362207456 1532483388 1532822448 1724425254 1979895662 2043311184 2043763264 2299233672 2586637881 2724414912 2969843493 3064966776 3065644896 3448850508 3959791324 4086622368 4598467344 5173275762 5939686986 6129933552 6131289792 6897701016 7759913643 7919582648 8173244736 8909530479 9196934688 10346551524 11879373972 12259867104 13795402032 15519827286 15839165296 17819060958 18393869376 20693103048 23279740929 23758747944 24519734208 26728591437 27590804064 31039654572 31678330592 35638121916 41386206096 46559481858 47517495888 53457182874 55181608128 62079309144 63356661184 69839222787 71276243832 80185774311 82772412192 93118963716 95034991776 106914365748 124158618288 139678445574 142552487664 160371548622 165544824384 186237927432 190069983552 213828731496 240557322933 248317236576 279356891148 285104975328 320743097244 372475854864 427657462992 481114645866 496634473152 558713782296 570209950656 641486194488 721671968799 744951709728 855314925984 962229291732 1117427564592 1282972388976 1443343937598 1489903419456 1710629851968 1924458583464 2165015906397 2234855129184 2565944777952 2886687875196 3848917166928 4330031812794 4469710258368 5131889555904 5773375750392 7697834333856 8660063625588 11546751500784 15395668667712 17320127251176 23093503001568 34640254502352 46187006003136 69280509004704 138561018009408
• Sum of all divisors σ(n): 425750353333760
• Sum of proper divisors (its aliquot sum) s(n): 287189335324352
• 138561018009408 is an abundant number, because the sum of its proper divisors (287189335324352) is greater than itself. Its abundance is 148628317314944

Bases of 138561018009408

• Binary: 11111100000010101000000010000100001011101000000₂
• Hexadecimal: 0x7E0540421740
• Base-36: 1D461WL000

Squares and roots of 138561018009408

• 138561018009408 squared (138561018009408²) is 19199155711803488114776510464
• 138561018009408 cubed (138561018009408³) is 2660254560348631586070981348563309762445312
• The square root of 138561018009408 is 11771194.4172801769
• The cube root of 138561018009408 is 51746.4254818295

Scales and comparisons

• 138,561,018,009,408 seconds is equal to 4,405,811 years, 40 weeks, 2 days, 5 hours, 16 minutes, 48 seconds.
• To count from 1 to 138,561,018,009,408 would take you about eleven million, fourteen thousand, five hundred twenty-nine 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 138561018009408 cubic inches would be around 4312.2 feet tall.

Recreational maths with 138561018009408

• 138561018009408 backwards is 804900810165831
• 138561018009408 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138561018009408's digits is 54
• More coming soon!