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144254432 = 2572197467
BaseRepresentation
bin10001001100100…
…10010111100000
3101001102212212202
420212102113200
5243412120212
622151512332
73401066600
oct1046222740
9331385782
10144254432
1174478543
12403886a8
1323b6996a
1415230c00
15c9e70c2
hex89925e0

144254432 has 72 divisors (see below), whose sum is σ = 332756424. Its totient is φ = 61377792.

The previous prime is 144254431. The next prime is 144254443. The reversal of 144254432 is 234452441.

It is a junction number, because it is equal to n+sod(n) for n = 144254395 and 144254404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144254431) 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, 308663 + ... + 309129.

It is an arithmetic number, because the mean of its divisors is an integer number (4621617).

Almost surely, 2144254432 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 144254432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166378212).

144254432 is an abundant number, since it is smaller than the sum of its proper divisors (188501992).

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

144254432 is a wasteful number, since it uses less digits than its factorization.

144254432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 673 counting only the distinct ones).

The product of its digits is 15360, while the sum is 29.

The square root of 144254432 is about 12010.5966546213. The cubic root of 144254432 is about 524.4568011282.

The spelling of 144254432 in words is "one hundred forty-four million, two hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 197 224 392 394 467 784 788 934 1379 1568 1576 1868 2758 3152 3269 3736 5516 6304 6538 7472 9653 11032 13076 14944 19306 22064 22883 26152 38612 44128 45766 52304 77224 91532 91999 104608 154448 183064 183998 308896 366128 367996 643993 732256 735992 1287986 1471984 2575972 2943968 4507951 5151944 9015902 10303888 18031804 20607776 36063608 72127216 144254432