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142464096 = 253631197
BaseRepresentation
bin10000111110111…
…01010001100000
3100221001221000000
420133131101200
5242432322341
622045300000
73346632135
oct1037352140
9327057000
10142464096
1173465425
123b864600
1323690aa8
1414cc658c
15c7918b6
hex87dd460

142464096 has 168 divisors, whose sum is σ = 436290624. Its totient is φ = 45722880.

The previous prime is 142464079. The next prime is 142464137. The reversal of 142464096 is 690464241.

142464096 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 640 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142464096.

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 27 ways as a sum of consecutive naturals, for example, 723070 + ... + 723266.

It is an arithmetic number, because the mean of its divisors is an integer number (2596968).

Almost surely, 2142464096 is an apocalyptic number.

142464096 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 142464096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218145312).

142464096 is an abundant number, since it is smaller than the sum of its proper divisors (293826528).

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

142464096 is an equidigital number, since it uses as much as digits as its factorization.

142464096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 142464096 is about 11935.8324385021. The cubic root of 142464096 is about 522.2780920123.

The spelling of 142464096 in words is "one hundred forty-two million, four hundred sixty-four thousand, ninety-six".