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144430220052 = 223222717673791
BaseRepresentation
bin1000011010000010110…
…1100100001100010100
3111210210120221101011100
42012200231210030110
54331243114020202
6150203400510100
713302054420516
oct2064055441424
9453716841140
10144430220052
1156286104028
1223ba947b330
1310809676191
146dc1b71bb6
153b54b2941c
hex21a0b64314

144430220052 has 36 divisors (see below), whose sum is σ = 366695836416. Its totient is φ = 47931318480.

The previous prime is 144430220017. The next prime is 144430220059. The reversal of 144430220052 is 250022034441.

144430220052 is a `hidden beast` number, since 1 + 4 + 4 + 430 + 220 + 0 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 144430219998 and 144430220025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144430220059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8828724 + ... + 8845067.

It is an arithmetic number, because the mean of its divisors is an integer number (10185995456).

Almost surely, 2144430220052 is an apocalyptic number.

144430220052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144430220052 is an abundant number, since it is smaller than the sum of its proper divisors (222265616364).

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

144430220052 is a wasteful number, since it uses less digits than its factorization.

144430220052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17674028 (or 17674023 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 144430220052 its reverse (250022034441), we get a palindrome (394452254493).

The spelling of 144430220052 in words is "one hundred forty-four billion, four hundred thirty million, two hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 227 454 681 908 1362 2043 2724 4086 8172 17673791 35347582 53021373 70695164 106042746 159064119 212085492 318128238 636256476 4011950557 8023901114 12035851671 16047802228 24071703342 36107555013 48143406684 72215110026 144430220052