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144312150 = 23521723329
BaseRepresentation
bin10001001101000…
…00011101010110
3101001112211001110
420212200131112
5243420442100
622153035450
73401430063
oct1046403526
9331484043
10144312150
1174507944
12403b5b86
1323b8a008
1415247c6a
15ca09250
hex89a0756

144312150 has 72 divisors (see below), whose sum is σ = 380299320. Its totient is φ = 36208640.

The previous prime is 144312139. The next prime is 144312191. The reversal of 144312150 is 51213441.

It is a super-3 number, since 3×1443121503 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 41686 + ... + 45014.

It is an arithmetic number, because the mean of its divisors is an integer number (5281935).

Almost surely, 2144312150 is an apocalyptic number.

144312150 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 144312150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190149660).

144312150 is an abundant number, since it is smaller than the sum of its proper divisors (235987170).

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

144312150 is a wasteful number, since it uses less digits than its factorization.

144312150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3356 counting only the distinct ones).

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

The square root of 144312150 is about 12012.9992091900. Note that the first 3 decimals coincide. The cubic root of 144312150 is about 524.5267390402.

Adding to 144312150 its reverse (51213441), we get a palindrome (195525591).

The spelling of 144312150 in words is "one hundred forty-four million, three hundred twelve thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 289 425 510 578 850 867 1275 1445 1734 2550 2890 3329 4335 6658 7225 8670 9987 14450 16645 19974 21675 33290 43350 49935 56593 83225 99870 113186 166450 169779 249675 282965 339558 499350 565930 848895 962081 1414825 1697790 1924162 2829650 2886243 4244475 4810405 5772486 8488950 9620810 14431215 24052025 28862430 48104050 72156075 144312150