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2144320425 = 335213244367
BaseRepresentation
bin111111111001111…
…1011101110101001
312112102220202122000
41333303323232221
513342421223200
6552440121213
7104065265022
oct17763735651
95472822560
102144320425
11a0045a745
124ba166209
13282338070
14164b05c49
15c83be300
hex7fcfbba9

2144320425 has 48 divisors (see below), whose sum is σ = 4242228480. Its totient is φ = 1055661120.

The previous prime is 2144320421. The next prime is 2144320439. The reversal of 2144320425 is 5240234412.

2144320425 is a `hidden beast` number, since 214 + 4 + 3 + 20 + 425 = 666.

It is not a de Polignac number, because 2144320425 - 22 = 2144320421 is a prime.

It is a super-2 number, since 2×21443204252 = 9196220170144361250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2144320421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113409 + ... + 130958.

It is an arithmetic number, because the mean of its divisors is an integer number (88379760).

Almost surely, 22144320425 is an apocalyptic number.

2144320425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2144320425 is a deficient number, since it is larger than the sum of its proper divisors (2097908055).

2144320425 is a wasteful number, since it uses less digits than its factorization.

2144320425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244399 (or 244388 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2144320425 is about 46306.8075448956. The cubic root of 2144320425 is about 1289.5253797516.

Adding to 2144320425 its reverse (5240234412), we get a palindrome (7384554837).

The spelling of 2144320425 in words is "two billion, one hundred forty-four million, three hundred twenty thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 325 351 585 675 975 1755 2925 8775 244367 733101 1221835 2199303 3176771 3665505 6109175 6597909 9530313 10996515 15883855 18327525 28590939 32989545 47651565 54982575 79419275 85772817 142954695 164947725 238257825 428864085 714773475 2144320425