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201444144 = 24311381523
BaseRepresentation
bin11000000000111…
…00101100110000
3112001001102102020
430000130230300
5403032203034
631553351440
74664150466
oct1400345460
9461042366
10201444144
11a3789a70
1257568580
1332971725
141ca7a836
1512a42249
hexc01cb30

201444144 has 40 divisors (see below), whose sum is σ = 567707712. Its totient is φ = 61043520.

The previous prime is 201444127. The next prime is 201444163. The reversal of 201444144 is 441444102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190234 + ... + 191289.

Almost surely, 2201444144 is an apocalyptic number.

201444144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201444144 is an abundant number, since it is smaller than the sum of its proper divisors (366263568).

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

201444144 is a wasteful number, since it uses less digits than its factorization.

201444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381545 (or 381539 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 201444144 is about 14193.1019865285. The cubic root of 201444144 is about 586.2077408418.

Adding to 201444144 its reverse (441444102), we get a palindrome (642888246).

The spelling of 201444144 in words is "two hundred one million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 381523 763046 1144569 1526092 2289138 3052184 4196753 4578276 6104368 8393506 9156552 12590259 16787012 18313104 25180518 33574024 50361036 67148048 100722072 201444144