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14334902176 = 257210983873
BaseRepresentation
bin11010101100110110…
…10011111110100000
31101000000122110222211
431112123103332200
5213324213332201
610330234411504
71015142441500
oct152633237640
941000573884
1014334902176
1160967511a1
122940890b94
131475b0a04a
1499db73a00
1558d738651
hex3566d3fa0

14334902176 has 72 divisors (see below), whose sum is σ = 33131068740. Its totient is φ = 6087094272.

The previous prime is 14334902173. The next prime is 14334902189. The reversal of 14334902176 is 67120943341.

It can be written as a sum of positive squares in 2 ways, for example, as 14047938576 + 286963600 = 118524^2 + 16940^2 .

It is not an unprimeable number, because it can be changed into a prime (14334902171) 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 11 ways as a sum of consecutive naturals, for example, 128976 + ... + 212848.

Almost surely, 214334902176 is an apocalyptic number.

14334902176 is a gapful number since it is divisible by the number (16) 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 14334902176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565534370).

14334902176 is an abundant number, since it is smaller than the sum of its proper divisors (18796166564).

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

14334902176 is a wasteful number, since it uses less digits than its factorization.

14334902176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84006 (or 83991 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 14334902176 in words is "fourteen billion, three hundred thirty-four million, nine hundred two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 109 112 196 218 224 392 436 763 784 872 1526 1568 1744 3052 3488 5341 6104 10682 12208 21364 24416 42728 83873 85456 167746 170912 335492 587111 670984 1174222 1341968 2348444 2683936 4109777 4696888 8219554 9142157 9393776 16439108 18284314 18787552 32878216 36568628 63995099 65756432 73137256 127990198 131512864 146274512 255980396 292549024 447965693 511960792 895931386 1023921584 1791862772 2047843168 3583725544 7167451088 14334902176