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144432322034000 = 24537112136558547
BaseRepresentation
bin100000110101110001000101…
…001111111011100101010000
3200221101121001212010001201112
4200311301011033323211100
5122412334343420042000
61231103143122352452
742264614403663410
oct4065610517734520
9627347055101645
10144432322034000
1142025449499800
1214247b504bb728
136278ba92ca870
1427947c13a0640
1511a703978e235
hex835c453fb950

144432322034000 has 480 divisors, whose sum is σ = 472458489554688. Its totient is φ = 41554947456000.

The previous prime is 144432322033933. The next prime is 144432322034107. The reversal of 144432322034000 is 430223234441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18742727 + ... + 25301273.

Almost surely, 2144432322034000 is an apocalyptic number.

144432322034000 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 144432322034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236229244777344).

144432322034000 is an abundant number, since it is smaller than the sum of its proper divisors (328026167520688).

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

144432322034000 is a wasteful number, since it uses less digits than its factorization.

144432322034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558612 (or 6558585 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 144432322034000 its reverse (430223234441), we get a palindrome (144862545268441).

The spelling of 144432322034000 in words is "one hundred forty-four trillion, four hundred thirty-two billion, three hundred twenty-two million, thirty-four thousand".