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142005312 = 263523397
BaseRepresentation
bin10000111011011…
…01010001000000
3100220012121200000
420131231101000
5242323132222
622031400000
73343011441
oct1035552100
9326177600
10142005312
1173181769
123b683000
1323560017
1414c072c8
15c7009ac
hex876d440

142005312 has 168 divisors, whose sum is σ = 441569856. Its totient is φ = 45163008.

The previous prime is 142005299. The next prime is 142005329. The reversal of 142005312 is 213500241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 357498 + ... + 357894.

It is an arithmetic number, because the mean of its divisors is an integer number (2628392).

Almost surely, 2142005312 is an apocalyptic number.

142005312 is a gapful number since it is divisible by the number (12) 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 142005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220784928).

142005312 is an abundant number, since it is smaller than the sum of its proper divisors (299564544).

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

142005312 is an equidigital number, since it uses as much as digits as its factorization.

142005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142005312 is about 11916.5981722973. The cubic root of 142005312 is about 521.7168500051.

Adding to 142005312 its reverse (213500241), we get a palindrome (355505553).

The spelling of 142005312 in words is "one hundred forty-two million, five thousand, three hundred twelve".