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145104010260 = 2235111911975843
BaseRepresentation
bin1000011100100011011…
…1110111110000010100
3111212112112210110120020
42013020313313300110
54334133111312020
6150354310305140
713324545510456
oct2071067676024
9455475713506
10145104010260
11565a1481640
12241570581b0
13108b6139801
1470474462d6
153b93d70c40
hex21c8df7c14

145104010260 has 192 divisors, whose sum is σ = 447885656064. Its totient is φ = 34808972800.

The previous prime is 145104010223. The next prime is 145104010279. The reversal of 145104010260 is 62010401541.

It is a happy number.

145104010260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145104010260.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24830899 + ... + 24836741.

It is an arithmetic number, because the mean of its divisors is an integer number (2332737792).

Almost surely, 2145104010260 is an apocalyptic number.

145104010260 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 145104010260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223942828032).

145104010260 is an abundant number, since it is smaller than the sum of its proper divisors (302781645804).

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

145104010260 is a wasteful number, since it uses less digits than its factorization.

145104010260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 145104010260 in words is "one hundred forty-five billion, one hundred four million, ten thousand, two hundred sixty".