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144983440 = 24571991301
BaseRepresentation
bin10001010010001…
…00010110010000
3101002210220220001
420221010112100
5244103432230
622215255344
73410224150
oct1051042620
9332726801
10144983440
1174926228
124067a554
1324063724
1415380760
15cadd0ca
hex8a44590

144983440 has 80 divisors (see below), whose sum is σ = 387475200. Its totient is φ = 49420800.

The previous prime is 144983417. The next prime is 144983453. The reversal of 144983440 is 44389441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 144983440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110790 + ... + 112090.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2144983440 is an apocalyptic number.

144983440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144983440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

144983440 is an abundant number, since it is smaller than the sum of its proper divisors (242491760).

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

144983440 is a wasteful number, since it uses less digits than its factorization.

144983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 144983440 is about 12040.9069425853. The cubic root of 144983440 is about 525.3387866223.

The spelling of 144983440 in words is "one hundred forty-four million, nine hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 199 280 398 560 796 995 1301 1393 1592 1990 2602 2786 3184 3980 5204 5572 6505 6965 7960 9107 10408 11144 13010 13930 15920 18214 20816 22288 26020 27860 36428 45535 52040 55720 72856 91070 104080 111440 145712 182140 258899 364280 517798 728560 1035596 1294495 1812293 2071192 2588990 3624586 4142384 5177980 7249172 9061465 10355960 14498344 18122930 20711920 28996688 36245860 72491720 144983440