1004148385008680997001600
1,004,148,385,008,680,997,001,600 is an even composite number composed of four prime numbers multiplied together.
1004148385008680997001600 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 1004148385008680997001600:
27 × 52 × 79 × 3972105953357124197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 79 × 3972105953357124197)See below for interesting mathematical facts about the number 1004148385008680997001600 from the Numbermatics database.
Names of 1004148385008680997001600
- Cardinal: 1004148385008680997001600 can be written as One septillion, four sextillion, one hundred forty-eight quintillion, three hundred eighty-five quadrillion, eight trillion, six hundred eighty billion, nine hundred ninety-seven million, one thousand, six hundred.
Scientific notation
- Scientific notation: 1.0041483850086809970016 × 1024
Factors of 1004148385008680997001600
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 3972105953357124283
Divisors of 1004148385008680997001600
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 128 158 160 200 316 320 395 400 632 640 790 800 1264 1580 1600 1975 2528 3160 3200 3950 5056 6320 7900 10112 12640 15800 25280 31600 50560 63200 126400 252800 3972105953357124197 7944211906714248394 15888423813428496788 19860529766785620985 31776847626856993576 39721059533571241970 63553695253713987152 79442119067142483940 99302648833928104925 127107390507427974304 158884238134284967880 198605297667856209850 254214781014855948608 313796370315212811563 317768476268569935760 397210595335712419700 508429562029711897216 627592740630425623126 635536952537139871520 794421190671424839400 1255185481260851246252 1271073905074279743040 1568981851576064057815 1588842381342849678800 2510370962521702492504 2542147810148559486080 3137963703152128115630 3177684762685699357600 5020741925043404985008 6275927406304256231260 6355369525371398715200 7844909257880320289075 10041483850086809970016 12551854812608512462520 12710739050742797430400 15689818515760640578150 20082967700173619940032 25103709625217024925040 31379637031521281156300 40165935400347239880064 50207419250434049850080 62759274063042562312600 100414838500868099700160 125518548126085124625200 200829677001736199400320 251037096252170249250400 502074192504340498500800 1004148385008680997001600
- Sum of all divisors σ(n): 2511959804903045342815200
- Sum of proper divisors (its aliquot sum) s(n): 1507811419894364345813600
- 1004148385008680997001600 is an abundant number, because the sum of its proper divisors (1507811419894364345813600) is greater than itself. Its abundance is 503663034885683348812000
Bases of 1004148385008680997001600
- Binary: 110101001010001011111110001101101111011100111100111000111001010010011001100000002
- Hexadecimal: 0xD4A2FE36F73CE3949980
- Base-36: 4JIM0O7XUWIJ530G
Squares and roots of 1004148385008680997001600
- 1004148385008680997001600 squared (10041483850086809970016002) is 1008313979115542243238768324540941788190402560000
- 1004148385008680997001600 cubed (10041483850086809970016003) is 1012496853710548642576859769710456448688621774483586626913256964096000000
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The
square root of 1004148385008680997001600 is 1002072045817.4057840989 -
The
cube root of 1004148385008680997001600 is 100138088.7275511183
Scales and comparisons
How big is 1004148385008680997001600?- 1,004,148,385,008,680,997,001,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 1,004,148,385,008,680,997,001,600 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 1004148385008680997001600 cubic inches would be around 8344840.7 feet tall.
Recreational maths with 1004148385008680997001600
- 1004148385008680997001600 backwards is 0061007990868005838414001
- The number of decimal digits it has is: 25
- The sum of 1004148385008680997001600's digits is 88
- More coming soon!
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