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144034065 = 3357152417
BaseRepresentation
bin10001001010111…
…00100100010001
3101001000200121000
420211130210101
5243333042230
622143052213
73366161250
oct1045344421
9331020530
10144034065
1174337a1a
12402a1069
1323ac0576
14151b4797
15c9a1b60
hex895c911

144034065 has 32 divisors (see below), whose sum is σ = 292642560. Its totient is φ = 65843712.

The previous prime is 144034063. The next prime is 144034069. The reversal of 144034065 is 560430441.

It is not a de Polignac number, because 144034065 - 21 = 144034063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144034063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75264 + ... + 77153.

It is an arithmetic number, because the mean of its divisors is an integer number (9145080).

Almost surely, 2144034065 is an apocalyptic number.

144034065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144034065 is an abundant number, since it is smaller than the sum of its proper divisors (148608495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144034065 is a wasteful number, since it uses less digits than its factorization.

144034065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152438 (or 152432 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144034065 is about 12001.4192910672. The cubic root of 144034065 is about 524.1896068588.

The spelling of 144034065 in words is "one hundred forty-four million, thirty-four thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 152417 457251 762085 1066919 1371753 2286255 3200757 4115259 5334595 6858765 9602271 16003785 20576295 28806813 48011355 144034065