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144057150 = 23352176277
BaseRepresentation
bin10001001011000…
…10001100111110
3101001001212021000
420211202030332
5243334312100
622143351130
73366315456
oct1045421476
9331055230
10144057150
11743532a6
12402b24a6
1323acac23
14151bcd66
15c9a8900
hex896233e

144057150 has 96 divisors (see below), whose sum is σ = 420374880. Its totient is φ = 36149760.

The previous prime is 144057131. The next prime is 144057157. The reversal of 144057150 is 51750441.

It is a happy number.

144057150 is a `hidden beast` number, since 1 + 4 + 40 + 571 + 50 = 666.

It is a super-2 number, since 2×1440571502 = 41504924932245000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144057157) 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 47 ways as a sum of consecutive naturals, for example, 19812 + ... + 26088.

It is an arithmetic number, because the mean of its divisors is an integer number (4378905).

Almost surely, 2144057150 is an apocalyptic number.

144057150 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 144057150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210187440).

144057150 is an abundant number, since it is smaller than the sum of its proper divisors (276317730).

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

144057150 is a wasteful number, since it uses less digits than its factorization.

144057150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 144057150 is about 12002.3810137822. The cubic root of 144057150 is about 524.2176101200.

The spelling of 144057150 in words is "one hundred forty-four million, fifty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 102 135 150 153 170 225 255 270 306 425 450 459 510 675 765 850 918 1275 1350 1530 2295 2550 3825 4590 6277 7650 11475 12554 18831 22950 31385 37662 56493 62770 94155 106709 112986 156925 169479 188310 213418 282465 313850 320127 338958 470775 533545 564930 640254 847395 941550 960381 1067090 1412325 1600635 1694790 1920762 2667725 2824650 2881143 3201270 4236975 4801905 5335450 5762286 8003175 8473950 9603810 14405715 16006350 24009525 28811430 48019050 72028575 144057150