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144061230 = 235171914867
BaseRepresentation
bin10001001011000…
…11001100101110
3101001002001212010
420211203030232
5243334424410
622143422050
73366333405
oct1045431456
9331061763
10144061230
1174356375
12402b4926
1323acca41
14151c063c
15c9a9c20
hex896332e

144061230 has 64 divisors (see below), whose sum is σ = 385378560. Its totient is φ = 34251264.

The previous prime is 144061219. The next prime is 144061231. The reversal of 144061230 is 32160441.

It is a super-2 number, since 2×1440612302 = 41507275978225800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144061197 and 144061206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144061231) 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 31 ways as a sum of consecutive naturals, for example, 2257 + ... + 17123.

It is an arithmetic number, because the mean of its divisors is an integer number (6021540).

Almost surely, 2144061230 is an apocalyptic number.

144061230 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 144061230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192689280).

144061230 is an abundant number, since it is smaller than the sum of its proper divisors (241317330).

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

144061230 is a wasteful number, since it uses less digits than its factorization.

144061230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14913.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 144061230 is about 12002.5509788545. The cubic root of 144061230 is about 524.2225590533. Note that the first 3 decimals are identical.

The spelling of 144061230 in words is "one hundred forty-four million, sixty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4845 9690 14867 29734 44601 74335 89202 148670 223005 252739 282473 446010 505478 564946 758217 847419 1263695 1412365 1516434 1694838 2527390 2824730 3791085 4237095 4802041 7582170 8474190 9604082 14406123 24010205 28812246 48020410 72030615 144061230