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144300253345 = 5292573872273
BaseRepresentation
bin1000011001100011110…
…1110010000010100001
3111210110112101101100121
42012120331302002201
54331011331101340
6150142435120241
713265615626033
oct2063075620241
9453415341317
10144300253345
1156219805126
1223b71a43081
13107b876c8c1
146dac7bdc53
153b4850594a
hex2198f720a1

144300253345 has 16 divisors (see below), whose sum is σ = 179828404560. Its totient is φ = 111025782784.

The previous prime is 144300253333. The next prime is 144300253399. The reversal of 144300253345 is 543352003441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1443468049 + 142856785296 = 37993^2 + 377964^2 .

It is a cyclic number.

It is not a de Polignac number, because 144300253345 - 27 = 144300253217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144300253345.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1898872 + ... + 1973401.

It is an arithmetic number, because the mean of its divisors is an integer number (11239275285).

Almost surely, 2144300253345 is an apocalyptic number.

It is an amenable number.

144300253345 is a deficient number, since it is larger than the sum of its proper divisors (35528151215).

144300253345 is a wasteful number, since it uses less digits than its factorization.

144300253345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872564.

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 144300253345 its reverse (543352003441), we get a palindrome (687652256786).

The spelling of 144300253345 in words is "one hundred forty-four billion, three hundred million, two hundred fifty-three thousand, three hundred forty-five".

Divisors: 1 5 29 145 257 1285 7453 37265 3872273 19361365 112295917 561479585 995174161 4975870805 28860050669 144300253345