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1395244032000 = 21335372132331
BaseRepresentation
bin10100010011011011000…
…001100110000000000000
311221101100221210120212220
4110103123001212000000
5140324424433011000
62544544413451040
7202542306410100
oct24233301460000
94841327716786
101395244032000
114987a0978125
121a64a84a0a80
13a17564ab420
144b75cb0d200
152646085e1a0
hex144db066000

1395244032000 has 2688 divisors, whose sum is σ = 6265303769088. Its totient is φ = 272498688000.

The previous prime is 1395244031947. The next prime is 1395244032029. The reversal of 1395244032000 is 2304425931.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45007871985 + ... + 45007872015.

It is an arithmetic number, because the mean of its divisors is an integer number (2330842176).

Almost surely, 21395244032000 is an apocalyptic number.

1395244032000 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 1395244032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132651884544).

1395244032000 is an abundant number, since it is smaller than the sum of its proper divisors (4870059737088).

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

1395244032000 is a wasteful number, since it uses less digits than its factorization.

1395244032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 1395244032000 its reverse (2304425931), we get a palindrome (1397548457931).

The spelling of 1395244032000 in words is "one trillion, three hundred ninety-five billion, two hundred forty-four million, thirty-two thousand".