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142011353000 = 2353111773101103
BaseRepresentation
bin1000010001000010001…
…0010100011110101000
3111120120000102012100202
42010100202110132220
54311314401244000
6145123352051332
713155113404136
oct2042042243650
9446500365322
10142011353000
1155254785450
1223633393b48
13105124b29ba
146c32800756
153a625c7dd5
hex21108947a8

142011353000 has 512 divisors, whose sum is σ = 396766356480. Its totient is φ = 47001600000.

The previous prime is 142011352991. The next prime is 142011353063. The reversal of 142011353000 is 353110241.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1378750949 + ... + 1378751051.

It is an arithmetic number, because the mean of its divisors is an integer number (774934290).

Almost surely, 2142011353000 is an apocalyptic number.

142011353000 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 142011353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198383178240).

142011353000 is an abundant number, since it is smaller than the sum of its proper divisors (254755003480).

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

142011353000 is a wasteful number, since it uses less digits than its factorization.

142011353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 142011353000 its reverse (353110241), we get a palindrome (142364463241).

The spelling of 142011353000 in words is "one hundred forty-two billion, eleven million, three hundred fifty-three thousand".