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14134941090 = 23256773163197
BaseRepresentation
bin11010010101000001…
…00001010110100010
31100111002101101221200
431022200201112202
5212422021103330
610254332502030
71010164005534
oct151240412642
940432341850
1014134941090
115aa38954a6
1228a591a916
13144356768a
149813a1854
1557addaa60
hex34a8215a2

14134941090 has 192 divisors, whose sum is σ = 38235390336. Its totient is φ = 3621252096.

The previous prime is 14134941047. The next prime is 14134941103. The reversal of 14134941090 is 9014943141.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71750872 + ... + 71751068.

It is an arithmetic number, because the mean of its divisors is an integer number (199142658).

Almost surely, 214134941090 is an apocalyptic number.

14134941090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14134941090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117695168).

14134941090 is an abundant number, since it is smaller than the sum of its proper divisors (24100449246).

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

14134941090 is a wasteful number, since it uses less digits than its factorization.

14134941090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14134941090 in words is "fourteen billion, one hundred thirty-four million, nine hundred forty-one thousand, ninety".