40705474744016640

Names of 40705474744016640

• Cardinal: 40705474744016640 can be written as Forty quadrillion, seven hundred five trillion, four hundred seventy-four billion, seven hundred forty-four million, sixteen thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.070547474401664 × 10¹⁶

Factors of 40705474744016640

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1177820449779

Divisors of 40705474744016640

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 1177820449769 2355640899538 3533461349307 4711281799076 5889102248845 7066922698614 9422563598152 10600384047921 11778204497690 14133845397228 17667306746535 18845127196304 21200768095842 23556408995380 28267690794456 31801152143763 35334613493070 37690254392608 42401536191684 47112817990760 53001920239605 56535381588912 63602304287526 70669226986140 75380508785216 84803072383368 94225635981520 106003840479210 113070763177824 127204608575052 141338453972280 150761017570432 159005760718815 169606144766736 188451271963040 212007680958420 226141526355648 254409217150104 282676907944560 301522035140864 318011521437630 339212289533472 376902543926080 424015361916840 452283052711296 508818434300208 565353815889120 636023042875260 678424579066944 753805087852160 848030723833680 904566105422592 1017636868600416 1130707631778240 1272046085750520 1356849158133888 1507610175704320 1696061447667360 2035273737200832 2261415263556480 2544092171501040 2713698316267776 3392122895334720 4070547474401664 4522830527112960 5088184343002080 6784245790669440 8141094948803328 10176368686004160 13568491581338880 20352737372008320 40705474744016640
• Sum of all divisors σ(n): 144447899959792800
• Sum of proper divisors (its aliquot sum) s(n): 103742425215776160
• 40705474744016640 is an abundant number, because the sum of its proper divisors (103742425215776160) is greater than itself. Its abundance is 63036950471759520

Bases of 40705474744016640

• Binary: 10010000100111010110100111100010100001111101111100000000₂
• Hexadecimal: 0x909D69E287DF00
• Base-36: B4SVWXYDHC0

Squares and roots of 40705474744016640

• 40705474744016640 squared (40705474744016640²) is 1656935674135776543735480596889600
• 40705474744016640 cubed (40705474744016640³) is 67446353235994037537469836175079416153394642944000
• The square root of 40705474744016640 is 201755978.2113448057
• The cube root of 40705474744016640 is 343994.0584651201

Scales and comparisons

• 40,705,474,744,016,640 seconds is equal to 1,294,308,186 years, 29 weeks, 14 hours, 24 minutes.
• To count from 1 to 40,705,474,744,016,640 would take you about three billion, eight hundred eighty-two million, nine hundred twenty-four thousand, five hundred fifty-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 40705474744016640 cubic inches would be around 28666.2 feet tall.

Recreational maths with 40705474744016640

• 40705474744016640 backwards is 04661044747450704
• The number of decimal digits it has is: 17
• The sum of 40705474744016640's digits is 63
• More coming soon!