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144004144 = 24173371571
BaseRepresentation
bin10001001010101…
…01010000110000
3101000222011112211
420211111100300
5243331113034
622142301504
73366005104
oct1045252060
9330864484
10144004144
1174317499
1240287894
1323aaca6b
14151a7904
15c997d64
hex8955430

144004144 has 40 divisors (see below), whose sum is σ = 296485488. Its totient is φ = 67522560.

The previous prime is 144004141. The next prime is 144004153. The reversal of 144004144 is 441400441.

It is a happy number.

144004144 is a modest number, since divided by 4144 gives 144 as remainder.

It is not an unprimeable number, because it can be changed into a prime (144004141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90879 + ... + 92449.

Almost surely, 2144004144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148242744).

144004144 is an abundant number, since it is smaller than the sum of its proper divisors (152481344).

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

144004144 is a wasteful number, since it uses less digits than its factorization.

144004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 144004144 is about 12000.1726654244. The cubic root of 144004144 is about 524.1533067344.

Adding to 144004144 its reverse (441400441), we get a palindrome (585404585).

The spelling of 144004144 in words is "one hundred forty-four million, four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 337 674 1348 1571 2696 3142 5392 5729 6284 11458 12568 22916 25136 26707 45832 53414 91664 106828 213656 427312 529427 1058854 2117708 4235416 8470832 9000259 18000518 36001036 72002072 144004144