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142464329280 = 263757132237
BaseRepresentation
bin1000010010101110001…
…0010010011001000000
3111121201120202210000000
42010223202102121000
54313231332014110
6145240333000000
713202253550530
oct2045342223100
9447646683000
10142464329280
1155467444209
122373b023000
13105852b22c0
146c76a354c0
153a8c2531c0
hex212b892640

142464329280 has 896 divisors, whose sum is σ = 626479580160. Its totient is φ = 30044971008.

The previous prime is 142464329269. The next prime is 142464329297. The reversal of 142464329280 is 82923464241.

142464329280 is a `hidden beast` number, since 1 + 4 + 2 + 46 + 4 + 329 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 63684322 + ... + 63686558.

It is an arithmetic number, because the mean of its divisors is an integer number (699195960).

Almost surely, 2142464329280 is an apocalyptic number.

142464329280 is a gapful number since it is divisible by the number (10) 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 142464329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313239790080).

142464329280 is an abundant number, since it is smaller than the sum of its proper divisors (484015250880).

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

142464329280 is an equidigital number, since it uses as much as digits as its factorization.

142464329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 142464329280 in words is "one hundred forty-two billion, four hundred sixty-four million, three hundred twenty-nine thousand, two hundred eighty".