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2144261400 = 233523573769
BaseRepresentation
bin111111111001110…
…1101010100011000
312112102210202122220
41333303231110120
513342412331100
6552434544040
7104064630651
oct17763552430
95472722586
102144261400
11a0041a366
124ba138020
13282317238
14164acc528
15c83abaa0
hex7fced518

2144261400 has 48 divisors (see below), whose sum is σ = 6647212200. Its totient is φ = 571802880.

The previous prime is 2144261393. The next prime is 2144261429. The reversal of 2144261400 is 41624412.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1786285 + ... + 1787484.

Almost surely, 22144261400 is an apocalyptic number.

2144261400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144261400 is an abundant number, since it is smaller than the sum of its proper divisors (4502950800).

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

2144261400 is a wasteful number, since it uses less digits than its factorization.

2144261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573788 (or 3573779 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2144261400 is about 46306.1702152100. The cubic root of 2144261400 is about 1289.5135477304.

Adding to 2144261400 its reverse (41624412), we get a palindrome (2185885812).

The spelling of 2144261400 in words is "two billion, one hundred forty-four million, two hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3573769 7147538 10721307 14295076 17868845 21442614 28590152 35737690 42885228 53606535 71475380 85770456 89344225 107213070 142950760 178688450 214426140 268032675 357376900 428852280 536065350 714753800 1072130700 2144261400