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14340245140 = 22513421131009
BaseRepresentation
bin11010101101011111…
…01100011010010100
31101000101200221011101
431112233230122110
5213332100321030
610330545115444
71015236033604
oct152657543224
941011627141
1014340245140
116099770471
122942628b84
131476c5ac70
149a0764c04
1558de417ca
hex356bec694

14340245140 has 48 divisors (see below), whose sum is σ = 32508297360. Its totient is φ = 5282242560.

The previous prime is 14340245131. The next prime is 14340245149. The reversal of 14340245140 is 4154204341.

It is an interprime number because it is at equal distance from previous prime (14340245131) and next prime (14340245149).

It can be written as a sum of positive squares in 8 ways, for example, as 2765497744 + 11574747396 = 52588^2 + 107586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14340245099 and 14340245108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340245149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43956 + ... + 174964.

It is an arithmetic number, because the mean of its divisors is an integer number (677256195).

Almost surely, 214340245140 is an apocalyptic number.

14340245140 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 14340245140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254148680).

14340245140 is an abundant number, since it is smaller than the sum of its proper divisors (18168052220).

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

14340245140 is a wasteful number, since it uses less digits than its factorization.

14340245140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131452 (or 131450 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 14340245140 its reverse (4154204341), we get a palindrome (18494449481).

The spelling of 14340245140 in words is "fourteen billion, three hundred forty million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 421 842 1684 2105 4210 5473 8420 10946 21892 27365 54730 109460 131009 262018 524036 655045 1310090 1703117 2620180 3406234 6812468 8515585 17031170 34062340 55154789 110309578 220619156 275773945 551547890 717012257 1103095780 1434024514 2868049028 3585061285 7170122570 14340245140