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144075330 = 23257713221
BaseRepresentation
bin10001001011001…
…10101001000010
3101001002210012100
420211212221002
5243340402310
622144011230
73366422460
oct1045465102
9331083170
10144075330
1174365a23
1240300b16
1323b06299
14151c5830
15c9adec0
hex8966a42

144075330 has 96 divisors (see below), whose sum is σ = 434274048. Its totient is φ = 32457600.

The previous prime is 144075329. The next prime is 144075331. The reversal of 144075330 is 33570441.

It is an interprime number because it is at equal distance from previous prime (144075329) and next prime (144075331).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144075294 and 144075303.

It is not an unprimeable number, because it can be changed into a prime (144075331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43120 + ... + 46340.

It is an arithmetic number, because the mean of its divisors is an integer number (4523688).

Almost surely, 2144075330 is an apocalyptic number.

144075330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144075330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217137024).

144075330 is an abundant number, since it is smaller than the sum of its proper divisors (290198718).

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

144075330 is a wasteful number, since it uses less digits than its factorization.

144075330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 144075330 is about 12003.1383396177. The cubic root of 144075330 is about 524.2396612649.

The spelling of 144075330 in words is "one hundred forty-four million, seventy-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 71 90 105 126 142 210 213 315 355 426 497 630 639 710 994 1065 1278 1491 2130 2485 2982 3195 3221 4473 4970 6390 6442 7455 8946 9663 14910 16105 19326 22365 22547 28989 32210 44730 45094 48315 57978 67641 96630 112735 135282 144945 202923 225470 228691 289890 338205 405846 457382 676410 686073 1014615 1143455 1372146 1600837 2029230 2058219 2286910 3201674 3430365 4116438 4802511 6860730 8004185 9605022 10291095 14407533 16008370 20582190 24012555 28815066 48025110 72037665 144075330