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129142278 = 23219292449
BaseRepresentation
bin1111011001010…
…00111000000110
3100000000002220100
413230220320012
5231030023103
620451544530
73125456046
oct754507006
9300002810
10129142278
1166996561
12372bb146
13209a8265
1413219726
15b50e5a3
hex7b28e06

129142278 has 72 divisors (see below), whose sum is σ = 305721000. Its totient is φ = 39287808.

The previous prime is 129142271. The next prime is 129142331. The reversal of 129142278 is 872241921.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129142271) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 287398 + ... + 287846.

It is an arithmetic number, because the mean of its divisors is an integer number (4246125).

Almost surely, 2129142278 is an apocalyptic number.

129142278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129142278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152860500).

129142278 is an abundant number, since it is smaller than the sum of its proper divisors (176578722).

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

129142278 is a wasteful number, since it uses less digits than its factorization.

129142278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 502 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 129142278 is about 11364.0784052205. The cubic root of 129142278 is about 505.4631283881.

The spelling of 129142278 in words is "one hundred twenty-nine million, one hundred forty-two thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 449 522 551 841 898 1102 1347 1653 1682 2523 2694 3306 4041 4959 5046 7569 8082 8531 9918 13021 15138 15979 17062 25593 26042 31958 39063 47937 51186 76779 78126 95874 117189 143811 153558 234378 247399 287622 377609 494798 742197 755218 1132827 1484394 2226591 2265654 3398481 4453182 6796962 7174571 14349142 21523713 43047426 64571139 129142278