438434936968000000

Names of 438434936968000000

• Cardinal: 438434936968000000 can be written as Four hundred thirty-eight quadrillion, four hundred thirty-four trillion, nine hundred thirty-six billion, nine hundred sixty-eight million.

Scientific notation

• Scientific notation: 4.38434936968 × 10¹⁷

Factors of 438434936968000000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 222

Divisors of 438434936968000000

• Number of divisors d(n): 1680
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 56 64 70 80 82 100 112 125 128 140 160 164 167 175 200 205 224 250 256 280 287 320 328 334 350 400 410 448 500 512 560 574 625 640 656 668 700 800 820 835 875 896 1000 1025 1120 1148 1169 1250 1280 1312 1336 1400 1435 1600 1640 1670 1681 1750 1792 2000 2050 2240 2296 2338 2500 2560 2624 2672 2800 2870 3125 3200 3280 3340 3362 3500 3584 4000 4100 4175 4375 4480 4592 4676 5000 5125 5248 5344 5600 5740 5845 6250 6400 6560 6680 6724 6847 7000 7175 8000 8200 8350 8405 8750 8960 9184 9352 10000 10250 10496 10688 11200 11480 11690 11767 12500 12800 13120 13360 13448 13694 14000 14350 15625 16000 16400 16700 16810 17500 17920 18368 18704 20000 20500 20875 20992 21376 21875 22400 22960 23380 23534 25000 25625 26240 26720 26896 27388 27889 28000 28700 29225 31250 32000 32800 33400 33620 34235 35000 35875 36736 37408 40000 41000 41750 42025 42752 43750 44800 45920 46760 47068 47929 50000 51250 52480 53440 53792 54776 55778 56000 57400 58450 58835 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4384349369680000 5346767524000000 5480436712100000 6263356242400000 6850545890125000 7829195303000000 8768698739360000 10693535048000000 10960873424200000 12526712484800000 13701091780250000 15658390606000000 17537397478720000 21921746848400000 27402183560500000 31316781212000000 43843493696800000 54804367121000000 62633562424000000 87686987393600000 109608734242000000 219217468484000000 438434936968000000
• Sum of all divisors σ(n): 1290426206095635840
• Sum of proper divisors (its aliquot sum) s(n): 851991269127635840
• 438434936968000000 is an abundant number, because the sum of its proper divisors (851991269127635840) is greater than itself. Its abundance is 413556332159635840

Bases of 438434936968000000

• Binary: 11000010101101000100100000010010011000110010011001000000000₂
• Hexadecimal: 0x615A24093193200
• Base-36: 3BX07PHK4SN4

Squares and roots of 438434936968000000

• 438434936968000000 squared (438434936968000000²) is 192225193954134133033024000000000000
• 438434936968000000 cubed (438434936968000000³) is 84278240794942373299351204102431232000000000000000000
• The square root of 438434936968000000 is 662144196.5070750357
• The cube root of 438434936968000000 is 759687.6237988283

Scales and comparisons

• 438,434,936,968,000,000 seconds is equal to 13,940,874,827 years, 14 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 438,434,936,968,000,000 would take you about forty-one billion, eight hundred twenty-two million, six hundred twenty-four thousand, four hundred eighty-one 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 438434936968000000 cubic inches would be around 63307.3 feet tall.

Recreational maths with 438434936968000000

• 438434936968000000 backwards is 000000869639434834
• The number of decimal digits it has is: 18
• The sum of 438434936968000000's digits is 67
• More coming soon!