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142520000000 = 29577509
BaseRepresentation
bin1000010010111011011…
…0101001111000000000
3111121212110112010212112
42010232312221320000
54313340110000000
6145250042114452
713203531004040
oct2045666517000
9447773463775
10142520000000
1155495908474
12237557aba28
13105939a4861
146c801a7720
153a9209d235
hex212eda9e00

142520000000 has 320 divisors, whose sum is σ = 407600519040. Its totient is φ = 48768000000.

The previous prime is 142519999981. The next prime is 142520000003. The reversal of 142520000000 is 25241.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 142520000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142520000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279999746 + ... + 280000254.

It is an arithmetic number, because the mean of its divisors is an integer number (1273751622).

Almost surely, 2142520000000 is an apocalyptic number.

142520000000 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 142520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203800259520).

142520000000 is an abundant number, since it is smaller than the sum of its proper divisors (265080519040).

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

142520000000 is an frugal number, since it uses more digits than its factorization.

142520000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 142520000000 its reverse (25241), we get a palindrome (142520025241).

The spelling of 142520000000 in words is "one hundred forty-two billion, five hundred twenty million", and thus it is an aban number.