138892462153728

Names of 138892462153728

• Cardinal: 138892462153728 can be written as One hundred thirty-eight trillion, eight hundred ninety-two billion, four hundred sixty-two million, one hundred fifty-three thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38892462153728 × 10¹⁴

Factors of 138892462153728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 20106

Divisors of 138892462153728

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 529 547 552 736 768 1024 1058 1094 1104 1472 1536 1587 1641 2048 2116 2188 2208 2944 3072 3174 3282 4096 4232 4376 4416 5888 6144 6348 6564 8192 8464 8752 8832 11776 12288 12581 12696 13128 16928 17504 17664 19531 23552 24576 25162 25392 26256 33856 35008 35328 37743 39062 47104 50324 50784 52512 58593 67712 70016 70656 75486 78124 94208 100648 101568 105024 117186 135424 140032 141312 150972 156248 188416 201296 203136 210048 234372 270848 280064 282624 289363 301944 312496 402592 406272 420096 449213 468744 541696 560128 565248 578726 603888 624992 805184 812544 840192 868089 898426 937488 1083392 1120256 1157452 1207776 1249984 1347639 1610368 1625088 1680384 1736178 1796852 1874976 2166784 2240512 2314904 2415552 2499968 2695278 3220736 3250176 3360768 3472356 3593704 3749952 4333568 4481024 4629808 4831104 4999936 5390556 6441472 6500352 6721536 6944712 7187408 7499904 9259616 9662208 9999872 10331899 10683457 10781112 12882944 13000704 13443072 13889424 14374816 14999808 18519232 19324416 19999744 20663798 21366914 21562224 25765888 27778848 28749632 29999616 30995697 32050371 37038464 38648832 39999488 41327596 42733828 43124448 51531776 55557696 57499264 59999232 61991394 64100742 74076928 77297664 79998976 82655192 85467656 86248896 103063552 111115392 114998528 119998464 123982788 128201484 148153856 154595328 159997952 165310384 170935312 172497792 222230784 229997056 239996928 245719511 247965576 256402968 296307712 309190656 330620768 341870624 344995584 444461568 459994112 479993856 491439022 495931152 512805936 592615424 661241536 683741248 689991168 737158533 888923136 919988224 982878044 991862304 1025611872 1185230848 1322483072 1367482496 1379982336 1474317066 1777846272 1839976448 1965756088 1983724608 2051223744 2370461696 2644966144 2734964992 2759964672 2948634132 3555692544 3679952896 3931512176 3967449216 4102447488 5289932288 5469929984 5519929344 5651548753 5897268264 7111385088 7863024352 7934898432 8204894976 10579864576 10939859968 11039858688 11303097506 11794536528 15726048704 15869796864 16409789952 16954646259 21159729152 21879719936 22606195012 23589073056 31452097408 31739593728 32819579904 33909292518 42319458304 43759439872 45212390024 47178146112 62904194816 63479187456 65639159808 67818585036 84638916608 87518879744 90424780048 94356292224 125808389632 126958374912 131278319616 135637170072 180849560096 188712584448 251616779264 253916749824 262556639232 271274340144 361699120192 377425168896 503233558528 542548680288 723398240384 754850337792 1006467117056 1085097360576 1446796480768 1509700675584 2012934234112 2170194721152 2893592961536 3019401351168 4340389442304 5787185923072 6038802702336 8680778884608 11574371846144 17361557769216 23148743692288 34723115538432 46297487384576 69446231076864 138892462153728
• Sum of all divisors σ(n): 387887538997056
• Sum of proper divisors (its aliquot sum) s(n): 248995076843328
• 138892462153728 is an abundant number, because the sum of its proper divisors (248995076843328) is greater than itself. Its abundance is 110102614689600

Bases of 138892462153728

• Binary: 11111100101001001101011110111100110000000000000₂
• Hexadecimal: 0x7E526BDE6000
• Base-36: 1D8EBDVAIO

Squares and roots of 138892462153728

• 138892462153728 squared (138892462153728²) is 19291116043124764820304297984
• 138892462153728 cubed (138892462153728³) is 2679390604922881446140535382475135728484352
• The square root of 138892462153728 is 11785264.6195886497
• The cube root of 138892462153728 is 51787.6525473421

Scales and comparisons

• 138,892,462,153,728 seconds is equal to 4,416,350 years, 35 weeks, 7 hours, 8 minutes, 48 seconds.
• To count from 1 to 138,892,462,153,728 would take you about eleven million, forty thousand, eight hundred seventy-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 138892462153728 cubic inches would be around 4315.6 feet tall.

Recreational maths with 138892462153728

• 138892462153728 backwards is 827351264298831
• 138892462153728 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138892462153728's digits is 69
• More coming soon!