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144446292 = 22326165777
BaseRepresentation
bin10001001110000…
…01001101010100
3101001210122001200
420213001031110
5243434240132
622155552500
73402526134
oct1047011524
9331718050
10144446292
1174599701
124045b730
1323c060a3
1415280ac4
15ca33d7c
hex89c1354

144446292 has 36 divisors (see below), whose sum is σ = 371119476. Its totient is φ = 47358720.

The previous prime is 144446221. The next prime is 144446293. The reversal of 144446292 is 292644441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41139396 + 103306896 = 6414^2 + 10164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144446293) 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 11 ways as a sum of consecutive naturals, for example, 30693 + ... + 35084.

Almost surely, 2144446292 is an apocalyptic number.

144446292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144446292 is an abundant number, since it is smaller than the sum of its proper divisors (226673184).

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

144446292 is a wasteful number, since it uses less digits than its factorization.

144446292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65848 (or 65843 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 144446292 is about 12018.5811142580. The cubic root of 144446292 is about 524.6892092509.

It can be divided in two parts, 14444 and 6292, that added together give a 4-th power (20736 = 124).

The spelling of 144446292 in words is "one hundred forty-four million, four hundred forty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 65777 131554 197331 263108 394662 591993 789324 1183986 2367972 4012397 8024794 12037191 16049588 24074382 36111573 48148764 72223146 144446292