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14281461048 = 23317331105751
BaseRepresentation
bin11010100110011110…
…11100110100111000
31100212022002101112210
431103033130310320
5213222023223143
610321045135120
71013623262451
oct152317346470
940768071483
1014281461048
116069570078
1229269ba4a0
131467a1858a
14996a22128
15588bce033
hex3533dcd38

14281461048 has 64 divisors (see below), whose sum is σ = 37918437120. Its totient is φ = 4466880000.

The previous prime is 14281460989. The next prime is 14281461049. The reversal of 14281461048 is 84016418241.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14281460997 and 14281461015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14281461049) 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, 82173 + ... + 187923.

It is an arithmetic number, because the mean of its divisors is an integer number (592475580).

Almost surely, 214281461048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14281461048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959218560).

14281461048 is an abundant number, since it is smaller than the sum of its proper divisors (23636976072).

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

14281461048 is a wasteful number, since it uses less digits than its factorization.

14281461048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106108 (or 106104 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

Adding to 14281461048 its reverse (84016418241), we get a palindrome (98297879289).

The spelling of 14281461048 in words is "fourteen billion, two hundred eighty-one million, four hundred sixty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 331 408 662 993 1324 1986 2648 3972 5627 7944 11254 16881 22508 33762 45016 67524 105751 135048 211502 317253 423004 634506 846008 1269012 1797767 2538024 3595534 5393301 7191068 10786602 14382136 21573204 35003581 43146408 70007162 105010743 140014324 210021486 280028648 420042972 595060877 840085944 1190121754 1785182631 2380243508 3570365262 4760487016 7140730524 14281461048