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144715050 = 232521718917
BaseRepresentation
bin10001010000000…
…10110100101010
3101002022021201200
420220002310222
5244021340200
622205425030
73405025524
oct1050026452
9332267650
10144715050
1174762617
124056b176
1323c9b50c
1415310a14
15ca88800
hex8a02d2a

144715050 has 72 divisors (see below), whose sum is σ = 411693516. Its totient is φ = 36318720.

The previous prime is 144715027. The next prime is 144715063. The reversal of 144715050 is 50517441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 96648561 + 48066489 = 9831^2 + 6933^2 .

It is a Curzon number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1809 + ... + 17108.

Almost surely, 2144715050 is an apocalyptic number.

144715050 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 144715050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205846758).

144715050 is an abundant number, since it is smaller than the sum of its proper divisors (266978466).

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

144715050 is a wasteful number, since it uses less digits than its factorization.

144715050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18952 (or 18944 counting only the distinct ones).

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

The square root of 144715050 is about 12029.7568553982. The cubic root of 144715050 is about 525.0144213726.

The spelling of 144715050 in words is "one hundred forty-four million, seven hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 18917 37834 56751 94585 113502 170253 189170 283755 321589 340506 472925 567510 643178 851265 945850 964767 1418775 1607945 1702530 1929534 2837550 2894301 3215890 4256325 4823835 5788602 8039725 8512650 9647670 14471505 16079450 24119175 28943010 48238350 72357525 144715050