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144253262352441 = 31127112619443543
BaseRepresentation
bin100000110011001010010100…
…011101011101000000111001
3200220202110212212201202212210
4200303022110131131000321
5122401421140130234231
61230445011152125333
742245645213544444
oct4063122435350071
9626673785652783
10144253262352441
1141a66512a17800
12142192b9836849
136265041428478
142789c7641865b
1511a25598c8a46
hex83329475d039

144253262352441 has 48 divisors (see below), whose sum is σ = 214407608325120. Its totient is φ = 86187839522400.

The previous prime is 144253262352341. The next prime is 144253262352443.

144253262352441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144253262352441 - 210 = 144253262351417 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144253262352443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325007716 + ... + 325451258.

It is an arithmetic number, because the mean of its divisors is an integer number (4466825173440).

Almost surely, 2144253262352441 is an apocalyptic number.

144253262352441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144253262352441 is a deficient number, since it is larger than the sum of its proper divisors (70154345972679).

144253262352441 is a wasteful number, since it uses less digits than its factorization.

144253262352441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456258 (or 456247 counting only the distinct ones).

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

The spelling of 144253262352441 in words is "one hundred forty-four trillion, two hundred fifty-three billion, two hundred sixty-two million, three hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 3 11 33 71 121 213 363 781 2343 8591 12619 25773 37857 138809 416427 443543 895949 1330629 1526899 2687847 4580697 4878973 9855439 14636919 29566317 31491553 53668703 94474659 108409829 161006109 325229487 346407083 1039221249 3810477913 5597069117 11431433739 16791207351 61567760287 184703280861 397391907307 677245363157 1192175721921 2031736089471 4371310980377 13113932941131 48084420784147 144253262352441