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144005040 = 2434571313
BaseRepresentation
bin10001001010101…
…01011110110000
3101000222012210000
420211111132300
5243331130130
622142310000
73366010524
oct1045253660
9330865700
10144005040
1174318133
1240288300
1323ab02aa
14151a7d84
15c998260
hex89557b0

144005040 has 200 divisors, whose sum is σ = 508815648. Its totient is φ = 37739520.

The previous prime is 144005033. The next prime is 144005051. The reversal of 144005040 is 40500441.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 459924 + ... + 460236.

Almost surely, 2144005040 is an apocalyptic number.

144005040 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 144005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254407824).

144005040 is an abundant number, since it is smaller than the sum of its proper divisors (364810608).

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

144005040 is a wasteful number, since it uses less digits than its factorization.

144005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 144005040 is about 12000.2099981625. The cubic root of 144005040 is about 524.1543938337.

Adding to 144005040 its reverse (40500441), we get a palindrome (184505481).

The spelling of 144005040 in words is "one hundred forty-four million, five thousand, forty".