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144143310 = 23519435881
BaseRepresentation
bin10001001011101…
…11001111001110
3101001020020110010
420211313033032
5243400041220
622145254050
73400124613
oct1045671716
9331206403
10144143310
1174402003
1240334326
1323b2b1cc
141520250a
15c9c41e0
hex89773ce

144143310 has 64 divisors (see below), whose sum is σ = 372683520. Its totient is φ = 35562240.

The previous prime is 144143309. The next prime is 144143327. The reversal of 144143310 is 13341441.

It is a super-2 number, since 2×1441433102 = 41554587635512200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21570 + ... + 27450.

It is an arithmetic number, because the mean of its divisors is an integer number (5823180).

Almost surely, 2144143310 is an apocalyptic number.

144143310 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 144143310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186341760).

144143310 is an abundant number, since it is smaller than the sum of its proper divisors (228540210).

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

144143310 is a wasteful number, since it uses less digits than its factorization.

144143310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953.

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

The square root of 144143310 is about 12005.9697650794. The cubic root of 144143310 is about 524.3221001034.

Adding to 144143310 its reverse (13341441), we get a palindrome (157484751).

It can be divided in two parts, 144143 and 310, that added together give a triangular number (144453 = T537).

The spelling of 144143310 in words is "one hundred forty-four million, one hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1290 1634 2451 4085 4902 5881 8170 11762 12255 17643 24510 29405 35286 58810 88215 111739 176430 223478 252883 335217 505766 558695 670434 758649 1117390 1264415 1517298 1676085 2528830 3352170 3793245 4804777 7586490 9609554 14414331 24023885 28828662 48047770 72071655 144143310