305388128371009920

Names of 305388128371009920

• Cardinal: 305388128371009920 can be written as Three hundred five quadrillion, three hundred eighty-eight trillion, one hundred twenty-eight billion, three hundred seventy-one million, nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.0538812837100992 × 10¹⁷

Factors of 305388128371009920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 28694987981

Divisors of 305388128371009920

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 241 276 320 345 368 384 460 480 482 552 640 690 723 736 920 960 964 1104 1205 1380 1446 1472 1840 1920 1928 2208 2410 2760 2892 2944 3615 3680 3856 4416 4820 5520 5543 5784 7230 7360 7712 8832 9640 11040 11086 11568 14460 14720 15424 16629 19280 22080 22172 23136 27715 28920 30848 33258 38560 44160 44344 46272 55430 57840 66516 77120 83145 88688 92544 110860 115680 133032 154240 166290 177376 221720 231360 266064 332580 354752 443440 462720 532128 665160 709504 886880 1064256 1330320 1773760 2128512 2660640 3547520 5321280 10642560 28694987707 57389975414 86084963121 114779950828 143474938535 172169926242 229559901656 286949877070 344339852484 430424815605 459119803312 573899754140 659984717261 688679704968 860849631210 918239606624 1147799508280 1319969434522 1377359409936 1721699262420 1836479213248 1979954151783 2295599016560 2639938869044 2754718819872 3299923586305 3443398524840 3672958426496 3959908303566 4591198033120 5279877738088 5509437639744 6599847172610 6886797049680 6915492037387 7919816607132 9182396066240 9899770758915 10559755476176 11018875279488 13199694345220 13773594099360 13830984074774 15839633214264 18364792132480 19799541517830 20746476112161 21119510952352 26399388690440 27547188198720 27661968149548 31679266428528 34577460186935 39599083035660 41492952224322 42239021904704 52798777380880 55094376397440 55323936299096 63358532857056 69154920373870 79198166071320 82985904448644 84478043809408 103732380560805 105597554761760 110647872598192 126717065714112 138309840747740 158396332142640 159056316859901 165971808897288 207464761121610 211195109523520 221295745196384 253434131428224 276619681495480 316792664285280 318112633719802 331943617794576 414929522243220 422390219047040 442591490392768 477168950579703 553239362990960 633585328570560 636225267439604 663887235589152 795281584299505 829859044486440 885182980785536 954337901159406 1106478725981920 1267170657141120 1272450534879208 1327774471178304 1590563168599010 1659718088972880 1908675802318812 2212957451963840 2385844752898515 2544901069758416 2655548942356608 3181126337198020 3319436177945760 3817351604637624 4425914903927680 4771689505797030 5089802139516832 6362252674396040 6638872355891520 7634703209275248 9543379011594060 10179604279033664 12724505348792080 13277744711783040 15269406418550496 19086758023188120 20359208558067328 25449010697584160 30538812837100992 38173516046376240 50898021395168320 61077625674201984 76347032092752480 101796042790336640 152694064185504960 305388128371009920
• Sum of all divisors σ(n): 1019962190281351680
• Sum of proper divisors (its aliquot sum) s(n): 714574061910341760
• 305388128371009920 is an abundant number, because the sum of its proper divisors (714574061910341760) is greater than itself. Its abundance is 409185933539331840

Bases of 305388128371009920

• Binary: 10000111100111101001110001001111110001011001110100110000000₂
• Hexadecimal: 0x43CF4E27E2CE980
• Base-36: 2BIZ21EGAA2O

Squares and roots of 305388128371009920

• 305388128371009920 squared (305388128371009920²) is 93261908949948434014107880738406400
• 305388128371009920 cubed (305388128371009920³) is 28481079822532291338667583796448631903344899391488000
• The square root of 305388128371009920 is 552619334.0546545879
• The cube root of 305388128371009920 is 673416.9603355151

Scales and comparisons

• 305,388,128,371,009,920 seconds is equal to 9,710,397,854 years, 36 weeks, 21 hours, 52 minutes.
• To count from 1 to 305,388,128,371,009,920 would take you about twenty-nine billion, one hundred thirty-one million, one hundred ninety-three thousand, five hundred sixty-four 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 305388128371009920 cubic inches would be around 56118.1 feet tall.

Recreational maths with 305388128371009920

• 305388128371009920 backwards is 029900173821883503
• 305388128371009920 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 305388128371009920's digits is 69
• More coming soon!