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142674739200 = 214335271997
BaseRepresentation
bin1000010011100000010…
…0111100000000000000
3111122021020200201011000
42010320010330000000
54314144213123300
6145313250452000
713210420162530
oct2047004740000
9448236621130
10142674739200
1155565197304
1223799594000
13105b9a72906
146c969674c0
153aa0966c00
hex213813c000

142674739200 has 1440 divisors, whose sum is σ = 637095334400. Its totient is φ = 30576476160.

The previous prime is 142674739187. The next prime is 142674739201. The reversal of 142674739200 is 2937476241.

142674739200 is a `hidden beast` number, since 1 + 426 + 74 + 73 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142674739201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1470873552 + ... + 1470873648.

Almost surely, 2142674739200 is an apocalyptic number.

142674739200 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 142674739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318547667200).

142674739200 is an abundant number, since it is smaller than the sum of its proper divisors (494420595200).

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

142674739200 is an equidigital number, since it uses as much as digits as its factorization.

142674739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 142674739200 in words is "one hundred forty-two billion, six hundred seventy-four million, seven hundred thirty-nine thousand, two hundred".