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144302021253135 = 32531347332164607
BaseRepresentation
bin100000110011110111101110…
…101101111001100000001111
3200220221010201222012120022200
4200303313232231321200033
5122403221014420100020
61230523233340412543
742252322415425044
oct4063675655714017
9626833658176280
10144302021253135
1141a85164062549
1214226846b47153
1362698120139b5
14278c37dd9b1cb
1511a3960315590
hex833deeb7980f

144302021253135 has 48 divisors (see below), whose sum is σ = 250975751629824. Its totient is φ = 76698951952896.

The previous prime is 144302021253083. The next prime is 144302021253149. The reversal of 144302021253135 is 531352120203441.

144302021253135 is a `hidden beast` number, since 1 + 4 + 4 + 302 + 0 + 212 + 5 + 3 + 135 = 666.

It is not a de Polignac number, because 144302021253135 - 224 = 144302004475919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144302021253135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65582002 + ... + 67746608.

It is an arithmetic number, because the mean of its divisors is an integer number (5228661492288).

Almost surely, 2144302021253135 is an apocalyptic number.

144302021253135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144302021253135 is a deficient number, since it is larger than the sum of its proper divisors (106673730376689).

144302021253135 is a wasteful number, since it uses less digits than its factorization.

144302021253135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169664 (or 2169661 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 144302021253135 its reverse (531352120203441), we get a palindrome (675654141456576).

The spelling of 144302021253135 in words is "one hundred forty-four trillion, three hundred two billion, twenty-one million, two hundred fifty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 313 939 1565 2817 4695 4733 14085 14199 23665 42597 70995 212985 1481429 2164607 4444287 6493821 7407145 10823035 13332861 19481463 22221435 32469105 66664305 97407315 677521991 2032565973 3387609955 6097697919 10162829865 10245084931 30488489595 30735254793 51225424655 92205764379 153676273965 461028821895 3206711583403 9620134750209 16033557917015 28860404250627 48100673751045 144302021253135