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144304432225151 = 11235333479100913
BaseRepresentation
bin100000110011111001111110…
…011011000001101101111111
3200220221100221222212122011112
4200303321332123001231333
5122403240434122201101
61230524312504112235
742252436232360012
oct4063717633015577
9626840858778145
10144304432225151
1141a86190a89500
12142271ba46567b
136269b07671763
14278c52c275379
1511a3a51d076bb
hex833e7e6c1b7f

144304432225151 has 24 divisors (see below), whose sum is σ = 159071279099040. Its totient is φ = 130809012561920.

The previous prime is 144304432225141. The next prime is 144304432225201. The reversal of 144304432225151 is 151522234403441.

It is not a de Polignac number, because 144304432225151 - 214 = 144304432208767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144304432225099 and 144304432225108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144304432225141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429938071 + ... + 1430038983.

It is an arithmetic number, because the mean of its divisors is an integer number (6627969962460).

Almost surely, 2144304432225151 is an apocalyptic number.

144304432225151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144304432225151 is a deficient number, since it is larger than the sum of its proper divisors (14766846873889).

144304432225151 is a wasteful number, since it uses less digits than its factorization.

144304432225151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134767 (or 134756 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

Adding to 144304432225151 its reverse (151522234403441), we get a palindrome (295826666628592).

The spelling of 144304432225151 in words is "one hundred forty-four trillion, three hundred four billion, four hundred thirty-two million, two hundred twenty-five thousand, one hundred fifty-one".

Divisors: 1 11 121 353 3883 33479 42713 100913 368269 1110043 4050959 11818087 12210473 35622289 129998957 391845179 1429988527 3378466327 4310296969 37163129597 408794425567 1192598613431 13118584747741 144304432225151