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142545434304 = 26372131736737
BaseRepresentation
bin1000010011000001011…
…1101011011011000000
3111121221020101100011210
42010300113223123000
54313413112344204
6145252351210120
713204260125400
oct2046027533300
9447836340153
10142545434304
11554a91aa659
1223762216940
131059903b640
146c83708800
153a94424389
hex21305eb6c0

142545434304 has 336 divisors, whose sum is σ = 475277066208. Its totient is φ = 37371543552.

The previous prime is 142545434279. The next prime is 142545434309. The reversal of 142545434304 is 403434545241.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (142545434309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21155224 + ... + 21161960.

It is an arithmetic number, because the mean of its divisors is an integer number (1414515078).

Almost surely, 2142545434304 is an apocalyptic number.

142545434304 is a gapful number since it is divisible by the number (14) 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 142545434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237638533104).

142545434304 is an abundant number, since it is smaller than the sum of its proper divisors (332731631904).

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

142545434304 is a wasteful number, since it uses less digits than its factorization.

142545434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 142545434304 its reverse (403434545241), we get a palindrome (545979979545).

The spelling of 142545434304 in words is "one hundred forty-two billion, five hundred forty-five million, four hundred thirty-four thousand, three hundred four".