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142043233200 = 243521120815171
BaseRepresentation
bin1000010001001001101…
…1111011101110110000
3111120122020101212202220
42010102123323232300
54311401031430300
6145130451241040
713155651363261
oct2042233735660
9446566355686
10142043233200
115527077a520
1223641ba9180
1310518c9571b
146c36b3c968
153a652c3da0
hex21126fbbb0

142043233200 has 240 divisors, whose sum is σ = 496711101312. Its totient is φ = 34411520000.

The previous prime is 142043233147. The next prime is 142043233201. The reversal of 142043233200 is 2332340241.

142043233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (142043233201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27466615 + ... + 27471785.

Almost surely, 2142043233200 is an apocalyptic number.

142043233200 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 142043233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248355550656).

142043233200 is an abundant number, since it is smaller than the sum of its proper divisors (354667868112).

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

142043233200 is a wasteful number, since it uses less digits than its factorization.

142043233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 142043233200 its reverse (2332340241), we get a palindrome (144375573441).

The spelling of 142043233200 in words is "one hundred forty-two billion, forty-three million, two hundred thirty-three thousand, two hundred".