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144481137804 = 22336472067679
BaseRepresentation
bin1000011010001110111…
…1110011010010001100
3111210221010202021012000
42012203233303102030
54331344132402204
6150212420112300
713303243260003
oct2064357632214
9453833667160
10144481137804
1156301921313
1224002535690
1310817093223
146dc8827c3a
153b59336039
hex21a3bf348c

144481137804 has 48 divisors (see below), whose sum is σ = 375159859200. Its totient is φ = 48085919568.

The previous prime is 144481137799. The next prime is 144481137811. The reversal of 144481137804 is 408731184441.

144481137804 is a `hidden beast` number, since 14 + 448 + 113 + 7 + 80 + 4 = 666.

144481137804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1444811378042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144481137804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963964 + ... + 1103715.

It is an arithmetic number, because the mean of its divisors is an integer number (7815830400).

Almost surely, 2144481137804 is an apocalyptic number.

It is an amenable number.

144481137804 is an abundant number, since it is smaller than the sum of its proper divisors (230678721396).

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

144481137804 is a wasteful number, since it uses less digits than its factorization.

144481137804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068339 (or 2068331 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 144481137804 in words is "one hundred forty-four billion, four hundred eighty-one million, one hundred thirty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 647 1294 1941 2588 3882 5823 7764 11646 17469 23292 34938 69876 2067679 4135358 6203037 8270716 12406074 18609111 24812148 37218222 55827333 74436444 111654666 223309332 1337788313 2675576626 4013364939 5351153252 8026729878 12040094817 16053459756 24080189634 36120284451 48160379268 72240568902 144481137804