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142400210256 = 2432988890349
BaseRepresentation
bin1000010010011110110…
…1101100010101010000
3111121120010010012020100
42010213231230111100
54313113423212011
6145230122412400
713200544546563
oct2044755542520
9447503105210
10142400210256
115543422a687
1223721661100
1310574c22555
146c6c3044da
153a867d9d56
hex2127b6c550

142400210256 has 30 divisors (see below), whose sum is σ = 398522811050. Its totient is φ = 47466736704.

The previous prime is 142400210213. The next prime is 142400210257. The reversal of 142400210256 is 652012004241.

142400210256 is a `hidden beast` number, since 1 + 4 + 2 + 400 + 2 + 1 + 0 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91315169856 + 51085040400 = 302184^2 + 226020^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142400210257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 494445031 + ... + 494445318.

Almost surely, 2142400210256 is an apocalyptic number.

142400210256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142400210256 is an abundant number, since it is smaller than the sum of its proper divisors (256122600794).

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

142400210256 is a wasteful number, since it uses less digits than its factorization.

142400210256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988890363 (or 988890354 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 142400210256 its reverse (652012004241), we get a palindrome (794412214497).

The spelling of 142400210256 in words is "one hundred forty-two billion, four hundred million, two hundred ten thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 988890349 1977780698 2966671047 3955561396 5933342094 7911122792 8900013141 11866684188 15822245584 17800026282 23733368376 35600052564 47466736752 71200105128 142400210256