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144341040 = 24351314591
BaseRepresentation
bin10001001101001…
…11100000110000
3101001121021200110
420212213200300
5243422403130
622153421320
73401610234
oct1046474060
9331537613
10144341040
1174527618
124040a840
1323b9a1cc
14152545c4
15ca12ab0
hex89a7830

144341040 has 80 divisors (see below), whose sum is σ = 450971136. Its totient is φ = 38188800.

The previous prime is 144341039. The next prime is 144341047. The reversal of 144341040 is 40143441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 144340998 and 144341016.

It is not an unprimeable number, because it can be changed into a prime (144341047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29145 + ... + 33735.

Almost surely, 2144341040 is an apocalyptic number.

144341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225485568).

144341040 is an abundant number, since it is smaller than the sum of its proper divisors (306630096).

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

144341040 is a wasteful number, since it uses less digits than its factorization.

144341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144341040 is about 12014.2015964441. The cubic root of 144341040 is about 524.5617385567.

Adding to 144341040 its reverse (40143441), we get a palindrome (184484481).

The spelling of 144341040 in words is "one hundred forty-four million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 4591 5240 6288 7860 9182 10480 13773 15720 18364 22955 27546 31440 36728 45910 55092 68865 73456 91820 110184 137730 183640 220368 275460 367280 550920 601421 1101840 1202842 1804263 2405684 3007105 3608526 4811368 6014210 7217052 9021315 9622736 12028420 14434104 18042630 24056840 28868208 36085260 48113680 72170520 144341040