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141323244032000 = 21253377460053
BaseRepresentation
bin100000001000100001100001…
…110000100101000000000000
3200112101100222212100011101102
4200020201201300211000000
5122010420000433011000
61220323000234553532
741524160506004552
oct4010414160450000
9615340885304342
10141323244032000
114103693aa6a738
1213a254845988a8
1360b19562ca114
1426c811d9294d2
15115121dd773d5
hex808861c25000

141323244032000 has 208 divisors, whose sum is σ = 362232232117392. Its totient is φ = 55001471385600.

The previous prime is 141323244031999. The next prime is 141323244032051. The reversal of 141323244032000 is 230442323141.

It can be written as a sum of positive squares in 8 ways, for example, as 4689961959424 + 136633282072576 = 2165632^2 + 11689024^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15213974 + ... + 22674026.

It is an arithmetic number, because the mean of its divisors is an integer number (1741501115949).

Almost surely, 2141323244032000 is an apocalyptic number.

141323244032000 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 141323244032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181116116058696).

141323244032000 is an abundant number, since it is smaller than the sum of its proper divisors (220908988085392).

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

141323244032000 is an frugal number, since it uses more digits than its factorization.

141323244032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7460129 (or 7460097 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 141323244032000 its reverse (230442323141), we get a palindrome (141553686355141).

The spelling of 141323244032000 in words is "one hundred forty-one trillion, three hundred twenty-three billion, two hundred forty-four million, thirty-two thousand".