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144797058 = 23472172937
BaseRepresentation
bin10001010000101…
…10110110000010
3101002110110020000
420220112312002
5244032001213
622211300430
73405516600
oct1050266602
9332413200
10144797058
117480919a
12405aa716
1323cc9943
1415332870
15caa2c73
hex8a16d82

144797058 has 240 divisors, whose sum is σ = 424579320. Its totient is φ = 36578304.

The previous prime is 144797053. The next prime is 144797077. The reversal of 144797058 is 850797441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 144793089 + 3969 = 12033^2 + 63^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144797053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3913416 + ... + 3913452.

Almost surely, 2144797058 is an apocalyptic number.

144797058 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 144797058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212289660).

144797058 is an abundant number, since it is smaller than the sum of its proper divisors (279782262).

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

144797058 is a wasteful number, since it uses less digits than its factorization.

144797058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 144797058 is about 12033.1649203358. The cubic root of 144797058 is about 525.1135754280.

The spelling of 144797058 in words is "one hundred forty-four million, seven hundred ninety-seven thousand, fifty-eight".