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300000144444 = 22371113372332897
BaseRepresentation
bin1000101110110010110…
…01101110110000111100
31001200100112012100212220
410113121121232300330
514403400014110234
6345452420125340
730450166103430
oct4273131566074
91050315170786
10300000144444
11106258295880
124a185536850
132239cb7c590
141073d17c9c0
157c0c6dba49
hex45d966ec3c

300000144444 has 384 divisors, whose sum is σ = 969739610112. Its totient is φ = 69659688960.

The previous prime is 300000144421. The next prime is 300000144467. The reversal of 300000144444 is 444441000003.

It is an interprime number because it is at equal distance from previous prime (300000144421) and next prime (300000144467).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103554004 + ... + 103556900.

It is an arithmetic number, because the mean of its divisors is an integer number (2525363568).

Almost surely, 2300000144444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300000144444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484869805056).

300000144444 is an abundant number, since it is smaller than the sum of its proper divisors (669739465668).

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

300000144444 is a wasteful number, since it uses less digits than its factorization.

300000144444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 300000144444 its reverse (444441000003), we get a palindrome (744441144447).

It can be divided in two parts, 300000 and 144444, that added together give a palindrome (444444).

The spelling of 300000144444 in words is "three hundred billion, one hundred forty-four thousand, four hundred forty-four".