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144600105 = 35133472137
BaseRepresentation
bin10001001111001…
…10110000101001
3101002002110001110
420213212300221
5244004200410
622203140533
73404036436
oct1047466051
9332073043
10144600105
1174694221
1240514749
1323c5b0c0
14152c0b8d
15ca64720
hex89e6c29

144600105 has 32 divisors (see below), whose sum is σ = 249992064. Its totient is φ = 70949376.

The previous prime is 144600101. The next prime is 144600109. The reversal of 144600105 is 501006441.

It is an interprime number because it is at equal distance from previous prime (144600101) and next prime (144600109).

It is not a de Polignac number, because 144600105 - 22 = 144600101 is a prime.

It is a super-2 number, since 2×1446001052 = 41818380732022050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144600101) 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 31 ways as a sum of consecutive naturals, for example, 66597 + ... + 68733.

It is an arithmetic number, because the mean of its divisors is an integer number (7812252).

Almost surely, 2144600105 is an apocalyptic number.

144600105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144600105 is a deficient number, since it is larger than the sum of its proper divisors (105391959).

144600105 is a wasteful number, since it uses less digits than its factorization.

144600105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 144600105 is about 12024.9783783589. The cubic root of 144600105 is about 524.8753808524.

Adding to 144600105 its reverse (501006441), we get a palindrome (645606546).

The spelling of 144600105 in words is "one hundred forty-four million, six hundred thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 195 347 1041 1735 2137 4511 5205 6411 10685 13533 22555 27781 32055 67665 83343 138905 416715 741539 2224617 3707695 9640007 11123085 28920021 48200035 144600105