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144429460 = 22572147377
BaseRepresentation
bin10001001101111…
…01000110010100
3101001202202222021
420212331012110
5243433220320
622155342524
73402426100
oct1046750624
9331682867
10144429460
1174587a9a
1240451a44
1323bcb526
1415278900
15ca2ddaa
hex89bd194

144429460 has 36 divisors (see below), whose sum is σ = 352822932. Its totient is φ = 49518336.

The previous prime is 144429457. The next prime is 144429473. The reversal of 144429460 is 64924441.

It can be written as a sum of positive squares in 2 ways, for example, as 66389904 + 78039556 = 8148^2 + 8834^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72709 + ... + 74668.

It is an arithmetic number, because the mean of its divisors is an integer number (9800637).

Almost surely, 2144429460 is an apocalyptic number.

144429460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144429460 is an abundant number, since it is smaller than the sum of its proper divisors (208393472).

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

144429460 is a wasteful number, since it uses less digits than its factorization.

144429460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147400 (or 147391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 144429460 is about 12017.8808448079. The cubic root of 144429460 is about 524.6688281766.

The spelling of 144429460 in words is "one hundred forty-four million, four hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 147377 294754 589508 736885 1031639 1473770 2063278 2947540 4126556 5158195 7221473 10316390 14442946 20632780 28885892 36107365 72214730 144429460