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4441314203128 = 2311192875392383
BaseRepresentation
bin100000010100001001011…
…1101001001010111111000
3120201120210211020001012101
41000220102331021113320
51040231302414000003
613240151144553144
7635605622561665
oct100502275112770
916646724201171
104441314203128
1114626070a02a0
125b890b1827b4
13262a77857cca
14114d6444aa6c
157a7de93411d
hex40a12f495f8

4441314203128 has 64 divisors (see below), whose sum is σ = 9563074329600. Its totient is φ = 1912440430080.

The previous prime is 4441314203093. The next prime is 4441314203129. The reversal of 4441314203128 is 8213024131444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441314203129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48028825 + ... + 48121207.

It is an arithmetic number, because the mean of its divisors is an integer number (149423036400).

Almost surely, 24441314203128 is an apocalyptic number.

It is an amenable number.

4441314203128 is an abundant number, since it is smaller than the sum of its proper divisors (5121760126472).

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

4441314203128 is a wasteful number, since it uses less digits than its factorization.

4441314203128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121172 (or 121168 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 4441314203128 in words is "four trillion, four hundred forty-one billion, three hundred fourteen million, two hundred three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 28753 57506 92383 115012 184766 230024 316283 369532 546307 632566 739064 1016213 1092614 1265132 1755277 2032426 2185228 2530264 3510554 4064852 4370456 6009377 7021108 8129704 12018754 14042216 19308047 24037508 38616094 48075016 77232188 154464376 2656288399 5312576798 10625153596 21250307192 29219172389 50469479581 58438344778 100938959162 116876689556 201877918324 233753379112 403755836648 555164275391 1110328550782 2220657101564 4441314203128