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144430132 = 227112631783
BaseRepresentation
bin10001001101111…
…01010000110100
3101001202210220011
420212331100310
5243433231012
622155350004
73402431050
oct1046752064
9331683804
10144430132
1174588550
1240452304
1323bcb922
1415278c60
15ca2e1a7
hex89bd434

144430132 has 48 divisors (see below), whose sum is σ = 316495872. Its totient is φ = 56026080.

The previous prime is 144430093. The next prime is 144430151. The reversal of 144430132 is 231034441.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 80113 + ... + 81895.

It is an arithmetic number, because the mean of its divisors is an integer number (6593664).

Almost surely, 2144430132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144430132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158247936).

144430132 is an abundant number, since it is smaller than the sum of its proper divisors (172065740).

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

144430132 is a wasteful number, since it uses less digits than its factorization.

144430132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 144430132 is about 12017.9088031155. The cubic root of 144430132 is about 524.6696419001.

Adding to 144430132 its reverse (231034441), we get a palindrome (375464573).

The spelling of 144430132 in words is "one hundred forty-four million, four hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 263 308 526 1052 1783 1841 2893 3566 3682 5786 7132 7364 11572 12481 19613 20251 24962 39226 40502 49924 78452 81004 137291 274582 468929 549164 937858 1875716 3282503 5158219 6565006 10316438 13130012 20632876 36107533 72215066 144430132