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2444144031 = 337167211367
BaseRepresentation
bin1001000110101110…
…1010110110011111
320022100002101022000
42101223222312133
520001200102111
61042310253343
7114365611230
oct22153526637
96270071260
102444144031
11104472364a
12582657253
132cc4a3794
14192871087
15e4895c56
hex91aead9f

2444144031 has 64 divisors (see below), whose sum is σ = 4194140160. Its totient is φ = 1377946080.

The previous prime is 2444144023. The next prime is 2444144047. The reversal of 2444144031 is 1304414442.

2444144031 is a `hidden beast` number, since 244 + 4 + 14 + 403 + 1 = 666.

It is not a de Polignac number, because 2444144031 - 23 = 2444144023 is a prime.

It is a super-2 number, since 2×24441440312 = 11947680088545857922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2444143986 and 2444144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444144011) 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 63 ways as a sum of consecutive naturals, for example, 6659610 + ... + 6659976.

It is an arithmetic number, because the mean of its divisors is an integer number (65533440).

Almost surely, 22444144031 is an apocalyptic number.

2444144031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2444144031 is a deficient number, since it is larger than the sum of its proper divisors (1749996129).

2444144031 is a wasteful number, since it uses less digits than its factorization.

2444144031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2444144031 is about 49438.2850734125. The cubic root of 2444144031 is about 1347.0248208481.

Adding to 2444144031 its reverse (1304414442), we get a palindrome (3748558473).

The spelling of 2444144031 in words is "two billion, four hundred forty-four million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 167 189 211 367 501 633 1101 1169 1477 1503 1899 2569 3303 3507 4431 4509 5697 7707 9909 10521 13293 23121 31563 35237 39879 61289 69363 77437 105711 183867 232311 246659 317133 429023 542059 551601 696933 739977 951399 1287069 1626177 1654803 2090799 2219931 3861207 4878531 6659793 11583621 12931979 14635593 38795937 90523853 116387811 271571559 349163433 814714677 2444144031