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144466531442025 = 35213148170801479
BaseRepresentation
bin100000110110010000111100…
…010010011101110101101001
3200221111212100222011001100120
4200312100330102131311221
5122413414424022121100
61231131001444553453
742300235216106022
oct4066207422356551
9627455328131316
10144466531442025
1142038a03845341
12142526b90b2889
13627c19b7b3930
1427963088adc49
1511a7d8cc050a0
hex83643c49dd69

144466531442025 has 24 divisors (see below), whose sum is σ = 257224511369280. Its totient is φ = 71121984709440.

The previous prime is 144466531441871. The next prime is 144466531442027. The reversal of 144466531442025 is 520244135664441.

It is not a de Polignac number, because 144466531442025 - 28 = 144466531441769 is a prime.

It is a super-2 number, since 2×1444665314420252 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144466531442027) 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 23 ways as a sum of consecutive naturals, for example, 74085399765 + ... + 74085401714.

It is an arithmetic number, because the mean of its divisors is an integer number (10717687973720).

Almost surely, 2144466531442025 is an apocalyptic number.

144466531442025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144466531442025 is a deficient number, since it is larger than the sum of its proper divisors (112757979927255).

144466531442025 is a wasteful number, since it uses less digits than its factorization.

144466531442025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148170801505 (or 148170801500 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 51.

The spelling of 144466531442025 in words is "one hundred forty-four trillion, four hundred sixty-six billion, five hundred thirty-one million, four hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 325 975 148170801479 444512404437 740854007395 1926220419227 2222562022185 3704270036975 5778661257681 9631102096135 11112810110925 28893306288405 48155510480675 144466531442025