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444311341231142 = 2711192331439485131
BaseRepresentation
bin110010100000110010100101…
…1101010011110110000100110
32011021011202020022100002111102
41211001211023222132300212
5431214044111323344032
64212545451244240102
7162405302142553520
oct14501451352366046
92137152208302442
10444311341231142
11119631421a52430
12419ba621240032
13160bc4c226cca8
147ba0ad84dca10
153657856ea9362
hex194194ba9ec26

444311341231142 has 256 divisors, whose sum is σ = 944270239334400. Its totient is φ = 151460690832000.

The previous prime is 444311341231129. The next prime is 444311341231193. The reversal of 444311341231142 is 241132143113444.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 444311341231096 and 444311341231105.

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 127 ways as a sum of consecutive naturals, for example, 915615917 + ... + 916101047.

It is an arithmetic number, because the mean of its divisors is an integer number (3688555622400).

Almost surely, 2444311341231142 is an apocalyptic number.

444311341231142 is an abundant number, since it is smaller than the sum of its proper divisors (499958898103258).

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

444311341231142 is a wasteful number, since it uses less digits than its factorization.

444311341231142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485663.

The product of its digits is 110592, while the sum is 38.

Adding to 444311341231142 its reverse (241132143113444), we get a palindrome (685443484344586).

The spelling of 444311341231142 in words is "four hundred forty-four trillion, three hundred eleven billion, three hundred forty-one million, two hundred thirty-one thousand, one hundred forty-two".