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142897365000 = 2335541383109
BaseRepresentation
bin1000010100010101011…
…0001100000000001000
3111122211202121021100000
42011011112030000020
54320123211140000
6145351322243000
713216062363405
oct2050526140010
9448752537300
10142897365000
1155669923375
1223840056460
1310623c1c560
146cb83592ac
153ab5290000
hex214558c008

142897365000 has 960 divisors, whose sum is σ = 551624673600. Its totient is φ = 34432128000.

The previous prime is 142897364971. The next prime is 142897365029. The reversal of 142897365000 is 563798241.

142897365000 is a `hidden beast` number, since 1 + 4 + 28 + 97 + 36 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142897364971) and next prime (142897365029).

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 (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1310984946 + ... + 1310985054.

It is an arithmetic number, because the mean of its divisors is an integer number (574609035).

It is a 1-persistent number, because it is pandigital, but 2⋅142897365000 = 285794730000 is not.

Almost surely, 2142897365000 is an apocalyptic number.

142897365000 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 142897365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275812336800).

142897365000 is an abundant number, since it is smaller than the sum of its proper divisors (408727308600).

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

142897365000 is a wasteful number, since it uses less digits than its factorization.

142897365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 142897365000 in words is "one hundred forty-two billion, eight hundred ninety-seven million, three hundred sixty-five thousand".