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144312045 = 35157233263
BaseRepresentation
bin10001001101000…
…00011011101101
3101001112210220120
420212200123231
5243420441140
622153035153
73401426553
oct1046403355
9331483816
10144312045
1174507859
12403b5ab9
1323b89c57
1415247bd3
15ca091d0
hex89a06ed

144312045 has 32 divisors (see below), whose sum is σ = 234254592. Its totient is φ = 75858432.

The previous prime is 144312019. The next prime is 144312061. The reversal of 144312045 is 540213441.

It is not a de Polignac number, because 144312045 - 29 = 144311533 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 548584 + ... + 548846.

It is an arithmetic number, because the mean of its divisors is an integer number (7320456).

Almost surely, 2144312045 is an apocalyptic number.

144312045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144312045 is a deficient number, since it is larger than the sum of its proper divisors (89942547).

144312045 is a wasteful number, since it uses less digits than its factorization.

144312045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 144312045 is about 12012.9948389234. The cubic root of 144312045 is about 524.5266118268.

Adding to 144312045 its reverse (540213441), we get a palindrome (684525486).

The spelling of 144312045 in words is "one hundred forty-four million, three hundred twelve thousand, forty-five".

Divisors: 1 3 5 15 157 233 263 471 699 785 789 1165 1315 2355 3495 3945 36581 41291 61279 109743 123873 182905 183837 206455 306395 548715 619365 919185 9620803 28862409 48104015 144312045