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144212200224 = 25313191138901
BaseRepresentation
bin1000011001001110110…
…1111000101100100000
3111210020101200211011220
42012103231320230200
54330321310401344
6150130011535040
713263466322301
oct2062355705440
9453211624156
10144212200224
1156184033554
1223b4845a480
13107a344cb71
146da0c1c7a8
153b40910c19
hex2193b78b20

144212200224 has 48 divisors (see below), whose sum is σ = 378844361280. Its totient is φ = 48034246400.

The previous prime is 144212200211. The next prime is 144212200243. The reversal of 144212200224 is 422002212441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 144212200194 and 144212200203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442827 + ... + 696074.

It is an arithmetic number, because the mean of its divisors is an integer number (7892590860).

Almost surely, 2144212200224 is an apocalyptic number.

It is an amenable number.

144212200224 is an abundant number, since it is smaller than the sum of its proper divisors (234632161056).

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

144212200224 is a wasteful number, since it uses less digits than its factorization.

144212200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140233 (or 1140225 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144212200224 its reverse (422002212441), we get a palindrome (566214412665).

The spelling of 144212200224 in words is "one hundred forty-four billion, two hundred twelve million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1319 2638 3957 5276 7914 10552 15828 21104 31656 42208 63312 126624 1138901 2277802 3416703 4555604 6833406 9111208 13666812 18222416 27333624 36444832 54667248 109334496 1502210419 3004420838 4506631257 6008841676 9013262514 12017683352 18026525028 24035366704 36053050056 48070733408 72106100112 144212200224