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425241421524144 = 24332979742588809
BaseRepresentation
bin110000010110000010011101…
…1110111111010110010110000
32001202122200102211000212202000
41200230010323313322302300
5421214123412402233034
64104225113454454000
7155366451562554441
oct14054047367726260
92052580384025660
10425241421524144
1111354996847a575
123b83a777804300
131533812b640cc4
147701b1a6132c8
15342678a339599
hex182c13bdfacb0

425241421524144 has 160 divisors (see below), whose sum is σ = 1264274378136000. Its totient is φ = 136687586789376.

The previous prime is 425241421524131. The next prime is 425241421524149. The reversal of 425241421524144 is 441425124142524.

425241421524144 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 4 + 14 + 215 + 2 + 414 + 4 = 666.

It is a super-3 number, since 3×4252414215241443 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 425241421524144.

It is not an unprimeable number, because it can be changed into a prime (425241421524149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11309589 + ... + 31279220.

It is an arithmetic number, because the mean of its divisors is an integer number (7901714863350).

Almost surely, 2425241421524144 is an apocalyptic number.

It is an amenable number.

425241421524144 is an abundant number, since it is smaller than the sum of its proper divisors (839032956611856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425241421524144 is a wasteful number, since it uses less digits than its factorization.

425241421524144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42589652 (or 42589640 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 45.

Adding to 425241421524144 its reverse (441425124142524), we get a palindrome (866666545666668).

The spelling of 425241421524144 in words is "four hundred twenty-five trillion, two hundred forty-one billion, four hundred twenty-one million, five hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 797 1044 1392 1566 1594 2088 2391 3132 3188 4176 4782 6264 6376 7173 9564 12528 12752 14346 19128 21519 23113 28692 38256 43038 46226 57384 69339 86076 92452 114768 138678 172152 184904 208017 277356 344304 369808 416034 554712 624051 832068 1109424 1248102 1664136 2496204 3328272 4992408 9984816 42588809 85177618 127766427 170355236 255532854 340710472 383299281 511065708 681420944 766598562 1022131416 1149897843 1235075461 1533197124 2044262832 2299795686 2470150922 3066394248 3705226383 4599591372 4940301844 6132788496 7410452766 9199182744 9880603688 11115679149 14820905532 18398365488 19761207376 22231358298 29641811064 33347037447 33943280773 44462716596 59283622128 66694074894 67886561546 88925433192 101829842319 133388149788 135773123092 177850866384 203659684638 266776299576 271546246184 305489526957 407319369276 533552599152 543092492368 610979053914 814638738552 916468580871 984355142417 1221958107828 1629277477104 1832937161742 1968710284834 2443916215656 2953065427251 3665874323484 3937420569668 4887832431312 5906130854502 7331748646968 7874841139336 8859196281753 11812261709004 14663497293936 15749682278672 17718392563506 23624523418008 26577588845259 35436785127012 47249046836016 53155177690518 70873570254024 106310355381036 141747140508048 212620710762072 425241421524144