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144955965 = 35721117929
BaseRepresentation
bin10001010001111…
…01101000111101
3101002202112012110
420220331220331
5244102042330
622214524233
73410051100
oct1050755075
9332675173
10144955965
1174907620
1240666679
132405407b
1415374737
15cad4db0
hex8a3da3d

144955965 has 48 divisors (see below), whose sum is σ = 294338880. Its totient is φ = 60238080.

The previous prime is 144955961. The next prime is 144955981. The reversal of 144955965 is 569559441.

It is not a de Polignac number, because 144955965 - 22 = 144955961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144955961) 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, 880 + ... + 17049.

It is an arithmetic number, because the mean of its divisors is an integer number (6132060).

Almost surely, 2144955965 is an apocalyptic number.

144955965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144955965 is an abundant number, since it is smaller than the sum of its proper divisors (149382915).

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

144955965 is a wasteful number, since it uses less digits than its factorization.

144955965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17962 (or 17955 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 144955965 is about 12039.7659860979. The cubic root of 144955965 is about 525.3055998551.

The spelling of 144955965 in words is "one hundred forty-four million, nine hundred fifty-five thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 17929 53787 89645 125503 197219 268935 376509 591657 627515 878521 986095 1380533 1882545 2635563 2958285 4141599 4392605 6902665 9663731 13177815 20707995 28991193 48318655 144955965