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144458672 = 2419432257
BaseRepresentation
bin10001001110001…
…00001110110000
3101001211021001012
420213010032300
5243440134142
622200130052
73402610211
oct1047041660
9331737035
10144458672
11745a7a36
1240466928
1323c0b907
1415285408
15ca37882
hex89c43b0

144458672 has 60 divisors (see below), whose sum is σ = 302804280. Its totient is φ = 66576384.

The previous prime is 144458663. The next prime is 144458687. The reversal of 144458672 is 276854441.

It is an unprimeable number.

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, 561968 + ... + 562224.

It is an arithmetic number, because the mean of its divisors is an integer number (5046738).

Almost surely, 2144458672 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 144458672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151402140).

144458672 is an abundant number, since it is smaller than the sum of its proper divisors (158345608).

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

144458672 is a wasteful number, since it uses less digits than its factorization.

144458672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 321 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The square root of 144458672 is about 12019.0961390614. The cubic root of 144458672 is about 524.7041985981.

The spelling of 144458672 in words is "one hundred forty-four million, four hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 257 304 344 514 688 817 1028 1634 1849 2056 3268 3698 4112 4883 6536 7396 9766 11051 13072 14792 19532 22102 29584 35131 39064 44204 70262 78128 88408 140524 176816 209969 281048 419938 475193 562096 839876 950386 1679752 1900772 3359504 3801544 7603088 9028667 18057334 36114668 72229336 144458672