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144322040131412 = 2211131724380925097
BaseRepresentation
bin100000110100001010010111…
…111011110110111101010100
3200221000001102010020221200212
4200310022113323312331110
5122404033014233201122
61230540344022424552
742253631460166463
oct4064122773667524
9627001363227625
10144322040131412
1141a926a7206050
121422a6b3292158
13626b68259b2c0
14278d31c9989da
1511a4232a5ece2
hex834297ef6f54

144322040131412 has 288 divisors, whose sum is σ = 322940495687040. Its totient is φ = 55596224839680.

The previous prime is 144322040131411. The next prime is 144322040131459. The reversal of 144322040131412 is 214131040223441.

It is a super-2 number, since 2×1443220401314122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144322040131411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5750556848 + ... + 5750581944.

It is an arithmetic number, because the mean of its divisors is an integer number (1121321165580).

Almost surely, 2144322040131412 is an apocalyptic number.

It is an amenable number.

144322040131412 is an abundant number, since it is smaller than the sum of its proper divisors (178618455555628).

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

144322040131412 is a wasteful number, since it uses less digits than its factorization.

144322040131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26011 (or 25992 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144322040131412 its reverse (214131040223441), we get a palindrome (358453080354853).

The spelling of 144322040131412 in words is "one hundred forty-four trillion, three hundred twenty-two billion, forty million, one hundred thirty-one thousand, four hundred twelve".