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144211400 = 2352721057
BaseRepresentation
bin10001001100001…
…11110111001000
3101001100200211222
420212013313020
5243404231100
622150541212
73400530254
oct1046076710
9331320758
10144211400
1174449183
1240367808
1323b531b8
141521d264
15c9d9485
hex8987dc8

144211400 has 24 divisors (see below), whose sum is σ = 335291970. Its totient is φ = 57684480.

The previous prime is 144211393. The next prime is 144211409. The reversal of 144211400 is 4112441.

It can be written as a sum of positive squares in 3 ways, for example, as 140517316 + 3694084 = 11854^2 + 1922^2 .

It is not an unprimeable number, because it can be changed into a prime (144211409) 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 5 ways as a sum of consecutive naturals, for example, 360329 + ... + 360728.

Almost surely, 2144211400 is an apocalyptic number.

144211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144211400 is an abundant number, since it is smaller than the sum of its proper divisors (191080570).

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

144211400 is a wasteful number, since it uses less digits than its factorization.

144211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721073 (or 721064 counting only the distinct ones).

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

The square root of 144211400 is about 12008.8051029234. The cubic root of 144211400 is about 524.4046463597.

Adding to 144211400 its reverse (4112441), we get a palindrome (148323841).

The spelling of 144211400 in words is "one hundred forty-four million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 721057 1442114 2884228 3605285 5768456 7210570 14421140 18026425 28842280 36052850 72105700 144211400