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144345060543441 = 3636110177743251
BaseRepresentation
bin100000110100011111110100…
…000011110000101111010001
3200221002020211110020001022210
4200310133310003300233101
5122404422140444342231
61230555112210022333
742255405106362402
oct4064376403605721
9627066743201283
10144345060543441
1141aa143a67735a
12142330588779a9
1362708b0956294
1427904a407b9a9
1511a4b2da52a46
hex8347f40f0bd1

144345060543441 has 16 divisors (see below), whose sum is σ = 192509510247488. Its totient is φ = 96205328640000.

The previous prime is 144345060543421. The next prime is 144345060543533.

144345060543441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144345060543441 - 29 = 144345060542929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144345060543421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193836066 + ... + 194579316.

It is an arithmetic number, because the mean of its divisors is an integer number (12031844390468).

Almost surely, 2144345060543441 is an apocalyptic number.

It is an amenable number.

144345060543441 is a deficient number, since it is larger than the sum of its proper divisors (48164449704047).

144345060543441 is a wasteful number, since it uses less digits than its factorization.

144345060543441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759792.

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 144345060543441 in words is "one hundred forty-four trillion, three hundred forty-five billion, sixty million, five hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 6361 10177 19083 30531 743251 2229753 64735897 194207691 4727819611 7564065427 14183458833 22692196281 48115020181147 144345060543441