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14380153140 = 2235239669219
BaseRepresentation
bin11010110010001111…
…11011100100110100
31101010011210110122110
431121013323210310
5213422304400030
610334532331020
71016232166503
oct153107734464
941104713573
1014380153140
11610a248991
122953a73a70
1314822c1972
149a5b9283a
155926c61b0
hex3591fb934

14380153140 has 24 divisors (see below), whose sum is σ = 40264428960. Its totient is φ = 3834707488.

The previous prime is 14380153133. The next prime is 14380153157. The reversal of 14380153140 is 4135108341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14380153098 and 14380153107.

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 7 ways as a sum of consecutive naturals, for example, 119834550 + ... + 119834669.

It is an arithmetic number, because the mean of its divisors is an integer number (1677684540).

Almost surely, 214380153140 is an apocalyptic number.

14380153140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14380153140 is an abundant number, since it is smaller than the sum of its proper divisors (25884275820).

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

14380153140 is a wasteful number, since it uses less digits than its factorization.

14380153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239669231 (or 239669229 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 14380153140 in words is "fourteen billion, three hundred eighty million, one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239669219 479338438 719007657 958676876 1198346095 1438015314 2396692190 2876030628 3595038285 4793384380 7190076570 14380153140