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142132241422000 = 245310315116727361
BaseRepresentation
bin100000010100010010111101…
…110000101101011010110000
3200122020201011021122200010201
4200110102331300231122300
5122112143312301001000
61222142352244404544
741636500304240404
oct4024227560553260
9618221137580121
10142132241422000
1141318a439a2735
1213b362200a6754
136140022321aab
142715346bc7104
1511672bbecc96a
hex8144bdc2d6b0

142132241422000 has 320 divisors, whose sum is σ = 351415035998208. Its totient is φ = 55591142400000.

The previous prime is 142132241421979. The next prime is 142132241422019. The reversal of 142132241422000 is 224142231241.

It is a self number, because there is not a number n which added to its sum of digits gives 142132241422000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5194688320 + ... + 5194715680.

Almost surely, 2142132241422000 is an apocalyptic number.

142132241422000 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 142132241422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175707517999104).

142132241422000 is an abundant number, since it is smaller than the sum of its proper divisors (209282794576208).

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

142132241422000 is a wasteful number, since it uses less digits than its factorization.

142132241422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27805 (or 27789 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 142132241422000 its reverse (224142231241), we get a palindrome (142356383653241).

The spelling of 142132241422000 in words is "one hundred forty-two trillion, one hundred thirty-two billion, two hundred forty-one million, four hundred twenty-two thousand".