409842123728123904

Names of 409842123728123904

• Cardinal: 409842123728123904 can be written as Four hundred nine quadrillion, eight hundred forty-two trillion, one hundred twenty-three billion, seven hundred twenty-eight million, one hundred twenty-three thousand, nine hundred four.

Scientific notation

• Scientific notation: 4.09842123728123904 × 10¹⁷

Factors of 409842123728123904

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 7291

Divisors of 409842123728123904

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 512 654 768 872 1024 1308 1536 1744 2048 2616 3072 3488 5232 6144 6976 7177 10464 11881 13952 14354 20928 21531 23762 27904 28708 35643 41856 43062 47524 55808 57416 71286 83712 86124 95048 111616 114832 142572 167424 172248 190096 223232 229664 285144 334848 344496 380192 459328 570288 669696 688992 760384 782293 918656 1140576 1295029 1377984 1520768 1564586 1837312 2281152 2346879 2590058 2755968 3041536 3129172 3674624 3885087 4562304 4693758 5180116 5511936 6083072 6258344 7349248 7770174 9124608 9387516 10360232 11023872 12166144 12516688 14698496 15540348 18249216 18775032 20720464 22047744 24332288 25033376 31080696 36498432 37550064 41440928 44095488 50066752 51509329 62161392 72996864 75100128 82881856 85269937 100133504 103018658 124322784 150200256 154527987 165763712 170539874 200267008 206037316 248645568 255809811 300400512 309055974 331527424 341079748 400534016 412074632 497291136 511619622 600801024 618111948 663054848 682159496 801068032 824149264 994582272 1023239244 1201602048 1236223896 1326109696 1364318992 1602136064 1648298528 1989164544 2046478488 2403204096 2472447792 2652219392 2728637984 3296597056 3978329088 4092956976 4806408192 4944895584 5457275968 5614516861 6593194112 7956658176 8185913952 9294423133 9889791168 10914551936 11229033722 13186388224 16371827904 16843550583 18588846266 19779582336 21829103872 22458067444 26372776448 27883269399 32743655808 33687101166 37177692532 39559164672 43658207744 44916134888 52745552896 55766538798 65487311616 67374202332 74355385064 79118329344 87316415488 89832269776 105491105792 111533077596 130974623232 134748404664 148710770128 158236658688 174632830976 179664539552 223066155192 261949246464 269496809328 297421540256 316473317376 359329079104 446132310384 523898492928 538993618656 594843080512 611982337849 718658158208 892264620768 1077987237312 1189686161024 1223964675698 1437316316416 1784529241536 1835947013547 2155974474624 2379372322048 2447929351396 2874632632832 3569058483072 3671894027094 4311948949248 4758744644096 4895858702792 5749265265664 7138116966144 7343788054188 8623897898496 9517489288192 9791717405584 11498530531328 14276233932288 14687576108376 17247795796992 19034978576384 19583434811168 28552467864576 29375152216752 34495591593984 39166869622336 57104935729152 58750304433504 66706074825541 78333739244672 117500608867008 133412149651082 156667478489344 200118224476623 235001217734016 266824299302164 313334956978688 400236448953246 470002435468032 533648598604328 626669913957376 800472897906492 940004870936064 1067297197208656 1253339827914752 1600945795812984 1880009741872128 2134594394417312 3201891591625968 3760019483744256 4269188788834624 6403783183251936 8538377577669248 12807566366503872 17076755155338496 25615132733007744 34153510310676992 51230265466015488 68307020621353984 102460530932030976 136614041242707968 204921061864061952 409842123728123904
• Sum of all divisors σ(n): 1102916259558313200
• Sum of proper divisors (its aliquot sum) s(n): 693074135830189296
• 409842123728123904 is an abundant number, because the sum of its proper divisors (693074135830189296) is greater than itself. Its abundance is 283232012102065392

Bases of 409842123728123904

• Binary: 10110110000000011010011110101110110110011100111100000000000₂
• Hexadecimal: 0x5B00D3D76CE7800
• Base-36: 343GWOF5O6IO

Squares and roots of 409842123728123904

• 409842123728123904 squared (409842123728123904²) is 167970566381978822774980803576201216
• 409842123728123904 cubed (409842123728123904³) is 68841413649806014218276459506159434865582358883467264
• The square root of 409842123728123904 is 640189131.2168021367
• The cube root of 409842123728123904 is 742800.5177300521

Scales and comparisons

• 409,842,123,728,123,904 seconds is equal to 13,031,711,809 years, 32 weeks, 5 days, 3 hours, 18 minutes, 24 seconds.
• To count from 1 to 409,842,123,728,123,904 would take you about thirty-nine billion, ninety-five million, one hundred thirty-five thousand, four hundred twenty-eight 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 409842123728123904 cubic inches would be around 61900 feet tall.

Recreational maths with 409842123728123904

• 409842123728123904 backwards is 409321827321248904
• The number of decimal digits it has is: 18
• The sum of 409842123728123904's digits is 69
• More coming soon!