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144205440 = 2735195967
BaseRepresentation
bin10001001100001…
…10011010000000
3101001100101200020
420212012122000
5243404033230
622150453440
73400504011
oct1046063200
9331311606
10144205440
1174444755
1240364280
1323b50582
141521b008
15c9d7810
hex8986680

144205440 has 256 divisors, whose sum is σ = 499392000. Its totient is φ = 35278848.

The previous prime is 144205417. The next prime is 144205463. The reversal of 144205440 is 44502441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144205417) and next prime (144205463).

It is a super-4 number, since 4×1442054404 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144205440.

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, 2152287 + ... + 2152353.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2144205440 is an apocalyptic number.

144205440 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 144205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249696000).

144205440 is an abundant number, since it is smaller than the sum of its proper divisors (355186560).

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

144205440 is a wasteful number, since it uses less digits than its factorization.

144205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 144205440 is about 12008.5569491092. The cubic root of 144205440 is about 524.3974220238.

Adding to 144205440 its reverse (44502441), we get a palindrome (188707881).

The spelling of 144205440 in words is "one hundred forty-four million, two hundred five thousand, four hundred forty".