401153399903846400
401,153,399,903,846,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 401153399903846400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 288 divisors.
401153399903846400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 401153399903846400:
215 × 3 × 52 × 4040172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 404017 × 404017)See below for interesting mathematical facts about the number 401153399903846400 from the Numbermatics database.
Names of 401153399903846400
- Cardinal: 401153399903846400 can be written as Four hundred one quadrillion, one hundred fifty-three trillion, three hundred ninety-nine billion, nine hundred three million, eight hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.011533999038464 × 1017
Factors of 401153399903846400
Divisors of 401153399903846400
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4096 4800 5120 6144 6400 7680 8192 9600 10240 12288 12800 15360 16384 19200 20480 24576 25600 30720 32768 38400 40960 49152 51200 61440 76800 81920 98304 102400 122880 153600 163840 204800 245760 307200 404017 409600 491520 614400 808034 819200 1212051 1228800 1616068 2020085 2424102 2457600 3232136 4040170 4848204 6060255 6464272 8080340 9696408 10100425 12120510 12928544 16160680 19392816 20200850 24241020 25857088 30301275 32321360 38785632 40401700 48482040 51714176 60602550 64642720 77571264 80803400 96964080 103428352 121205100 129285440 155142528 161606800 193928160 206856704 242410200 258570880 310285056 323213600 387856320 413713408 484820400 517141760 620570112 646427200 775712640 827426816 969640800 1034283520 1241140224 1292854400 1551425280 1654853632 1939281600 2068567040 2482280448 2585708800 3102850560 3309707264 3878563200 4137134080 4964560896 5171417600 6205701120 6619414528 7757126400 8274268160 9929121792 10342835200 12411402240 13238829056 15514252800 16548536320 19858243584 20685670400 24822804480 31028505600 33097072640 39716487168 41371340800 49645608960 62057011200 66194145280 82742681600 99291217920 124114022400 163229736289 165485363200 198582435840 248228044800 326459472578 330970726400 489689208867 496456089600 652918945156 816148681445 979378417734 992912179200 1305837890312 1632297362890 1958756835468 2448446044335 2611675780624 3264594725780 3917513670936 4080743407225 4896892088670 5223351561248 6529189451560 7835027341872 8161486814450 9793784177340 10446703122496 12242230221675 13058378903120 15670054683744 16322973628900 19587568354680 20893406244992 24484460443350 26116757806240 31340109367488 32645947257800 39175136709360 41786812489984 48968920886700 52233515612480 62680218734976 65291894515600 78350273418720 83573624979968 97937841773400 104467031224960 125360437469952 130583789031200 156700546837440 167147249959936 195875683546800 208934062449920 250720874939904 261167578062400 313401093674880 334294499919872 391751367093600 417868124899840 501441749879808 522335156124800 626802187349760 668588999839744 783502734187200 835736249799680 1002883499759616 1044670312249600 1253604374699520 1337177999679488 1567005468374400 1671472499599360 2005766999519232 2089340624499200 2507208749399040 2674355999358976 3134010936748800 3342944999198720 4011533999038464 4178681248998400 5014417498798080 5348711998717952 6268021873497600 6685889998397440 8023067998076928 8357362497996800 10028834997596160 12536043746995200 13371779996794880 16046135996153856 16714724995993600 20057669995192320 25072087493990400 26743559993589760 33429449991987200 40115339990384640 50144174987980800 66858899983974400 80230679980769280 100288349975961600 133717799967948800 200576699951923200 401153399903846400
- Sum of all divisors σ(n): 1326463618382386380
- Sum of proper divisors (its aliquot sum) s(n): 925310218478539980
- 401153399903846400 is an abundant number, because the sum of its proper divisors (925310218478539980) is greater than itself. Its abundance is 524156818574693580
Bases of 401153399903846400
- Binary: 101100100010010111011100100010011011011010110000000000000002
- Hexadecimal: 0x5912EE44DB58000
- Base-36: 31PX0FSSWBUO
Squares and roots of 401153399903846400
- 401153399903846400 squared (4011533999038464002) is 160924050254415312884765514792960000
- 401153399903846400 cubed (4011533999038464003) is 64555229885856141017244546232949610660803641344000000
-
The
square root of 401153399903846400 is 633366718.3424200101 -
The
cube root of 401153399903846400 is 737513.8137204447
Scales and comparisons
How big is 401153399903846400?- 401,153,399,903,846,400 seconds is equal to 12,755,437,268 years, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 401,153,399,903,846,400 would take you about thirty-eight billion, two hundred sixty-six million, three hundred eleven thousand, eight hundred 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 401153399903846400 cubic inches would be around 61459.5 feet tall.
Recreational maths with 401153399903846400
- 401153399903846400 backwards is 004648309993351104
- The number of decimal digits it has is: 18
- The sum of 401153399903846400's digits is 69
- More coming soon!
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