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142131500224000 = 29537312330133
BaseRepresentation
bin100000010100010010010001…
…100101010000111000000000
3200122020122020121221220121221
4200110102101211100320000
5122112140303024132000
61222142150530124424
741636443034201320
oct4024222145207000
9618218217856557
10142131500224000
11413186a3574701
1213b36053a20714
13613cc348b97b1
1427152b65a7280
151167276dbd61a
hex814491950e00

142131500224000 has 480 divisors, whose sum is σ = 418533014547648. Its totient is φ = 47158695936000.

The previous prime is 142131500223961. The next prime is 142131500224019. The reversal of 142131500224000 is 422005131241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430362934 + ... + 430693066.

Almost surely, 2142131500224000 is an apocalyptic number.

142131500224000 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 142131500224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209266507273824).

142131500224000 is an abundant number, since it is smaller than the sum of its proper divisors (276401514323648).

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

142131500224000 is an frugal number, since it uses more digits than its factorization.

142131500224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330235 (or 330178 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 142131500224000 its reverse (422005131241), we get a palindrome (142553505355241).

The spelling of 142131500224000 in words is "one hundred forty-two trillion, one hundred thirty-one billion, five hundred million, two hundred twenty-four thousand".