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14525431000 = 235318180251
BaseRepresentation
bin11011000011100100…
…00111110011011000
31101111022011100101221
431201302013303120
5214222002243000
610401202221424
71022645061223
oct154162076330
941438140357
1014525431000
116184255333
122994654874
1314a64293b2
149bb1ac5ba
155a032161a
hex361c87cd8

14525431000 has 64 divisors (see below), whose sum is σ = 34177721760. Its totient is φ = 5778000000.

The previous prime is 14525430929. The next prime is 14525431009. The reversal of 14525431000 is 13452541.

It is a happy number.

14525431000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145254310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14525431009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140875 + ... + 221125.

Almost surely, 214525431000 is an apocalyptic number.

14525431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14525431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088860880).

14525431000 is an abundant number, since it is smaller than the sum of its proper divisors (19652290760).

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

14525431000 is a wasteful number, since it uses less digits than its factorization.

14525431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80453 (or 80439 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 14525431000 its reverse (13452541), we get a palindrome (14538883541).

The spelling of 14525431000 in words is "fourteen billion, five hundred twenty-five million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1448 1810 3620 4525 7240 9050 18100 22625 36200 45250 80251 90500 160502 181000 321004 401255 642008 802510 1605020 2006275 3210040 4012550 8025100 10031375 14525431 16050200 20062750 29050862 40125500 58101724 72627155 80251000 116203448 145254310 290508620 363135775 581017240 726271550 1452543100 1815678875 2905086200 3631357750 7262715500 14525431000