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144373440 = 26351011489
BaseRepresentation
bin10001001101011…
…11011011000000
3101001122221010110
420212233123000
5243424422230
622154231320
73402103551
oct1046573300
9331587113
10144373440
11745499a2
1240425540
1323babb93
1415262328
15ca1c4b0
hex89af6c0

144373440 has 112 divisors (see below), whose sum is σ = 463235040. Its totient is φ = 38092800.

The previous prime is 144373421. The next prime is 144373451. The reversal of 144373440 is 44373441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144373398 and 144373407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96216 + ... + 97704.

Almost surely, 2144373440 is an apocalyptic number.

144373440 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 144373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231617520).

144373440 is an abundant number, since it is smaller than the sum of its proper divisors (318861600).

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

144373440 is a wasteful number, since it uses less digits than its factorization.

144373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 144373440 is about 12015.5499249930. The cubic root of 144373440 is about 524.6009847956.

Subtracting from 144373440 its reverse (44373441), we obtain a palindrome (99999999).

The spelling of 144373440 in words is "one hundred forty-four million, three hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1489 1515 1616 2020 2424 2978 3030 3232 4040 4467 4848 5956 6060 6464 7445 8080 8934 9696 11912 12120 14890 16160 17868 19392 22335 23824 24240 29780 32320 35736 44670 47648 48480 59560 71472 89340 95296 96960 119120 142944 150389 178680 238240 285888 300778 357360 451167 476480 601556 714720 751945 902334 1203112 1429440 1503890 1804668 2255835 2406224 3007780 3609336 4511670 4812448 6015560 7218672 9023340 9624896 12031120 14437344 18046680 24062240 28874688 36093360 48124480 72186720 144373440