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144141200 = 2452751479
BaseRepresentation
bin10001001011101…
…10101110010000
3101001020010112222
420211312232100
5243400004300
622145240212
73400115510
oct1045665620
9331203488
10144141200
1174400465
1240333068
1323b2a268
1415201840
15c9c3785
hex8976b90

144141200 has 60 divisors (see below), whose sum is σ = 395778240. Its totient is φ = 49418880.

The previous prime is 144141169. The next prime is 144141209. The reversal of 144141200 is 2141441.

It is not an unprimeable number, because it can be changed into a prime (144141209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22940 + ... + 28539.

It is an arithmetic number, because the mean of its divisors is an integer number (6596304).

Almost surely, 2144141200 is an apocalyptic number.

144141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144141200 is an abundant number, since it is smaller than the sum of its proper divisors (251637040).

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

144141200 is a wasteful number, since it uses less digits than its factorization.

144141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51504 (or 51493 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 144141200 is about 12005.8818918062. The cubic root of 144141200 is about 524.3195417120.

Adding to 144141200 its reverse (2141441), we get a palindrome (146282641).

The spelling of 144141200 in words is "one hundred forty-four million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 51479 102958 205916 257395 360353 411832 514790 720706 823664 1029580 1286975 1441412 1801765 2059160 2573950 2882824 3603530 4118320 5147900 5765648 7207060 9008825 10295800 14414120 18017650 20591600 28828240 36035300 72070600 144141200