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144049820 = 22583107811
BaseRepresentation
bin10001001011000…
…00011010011100
3101001001111012112
420211200122130
5243334043240
622143253152
73366255215
oct1045403234
9331044175
10144049820
1174348842
12402aa1b8
1323ac77a5
14151ba40c
15c9a6665
hex896069c

144049820 has 48 divisors (see below), whose sum is σ = 309391488. Its totient is φ = 56324160.

The previous prime is 144049819. The next prime is 144049847. The reversal of 144049820 is 28940441.

It is a congruent number.

It is an unprimeable number.

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, 177215 + ... + 178025.

It is an arithmetic number, because the mean of its divisors is an integer number (6445656).

Almost surely, 2144049820 is an apocalyptic number.

144049820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144049820 is an abundant number, since it is smaller than the sum of its proper divisors (165341668).

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

144049820 is a wasteful number, since it uses less digits than its factorization.

144049820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 144049820 is about 12002.0756538192. The cubic root of 144049820 is about 524.2087187871.

The spelling of 144049820 in words is "one hundred forty-four million, forty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 83 107 166 214 332 415 428 535 811 830 1070 1622 1660 2140 3244 4055 8110 8881 16220 17762 35524 44405 67313 86777 88810 134626 173554 177620 269252 336565 347108 433885 673130 867770 1346260 1735540 7202491 14404982 28809964 36012455 72024910 144049820