Search a number
-
+
144444131034111 = 3313975938278627
BaseRepresentation
bin100000110101111100000101…
…000111101100001111111111
3200221102201112211211102111000
4200311330011013230033333
5122413033040021042421
61231112415010301343
742265513135556226
oct4065740507541777
9627381484742430
10144444131034111
114202a459355327
121424a2a7287853
13627a03ba097ac
1427951c189dcbd
1511a74cb382226
hex835f051ec3ff

144444131034111 has 16 divisors (see below), whose sum is σ = 213992841971200. Its totient is φ = 96295395825144.

The previous prime is 144444131034079. The next prime is 144444131034127. The reversal of 144444131034111 is 111430131444441.

144444131034111 is a `hidden beast` number, since 1 + 4 + 44 + 441 + 31 + 0 + 34 + 111 = 666.

It is not a de Polignac number, because 144444131034111 - 25 = 144444131034079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144444131034211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15365821 + ... + 22912806.

It is an arithmetic number, because the mean of its divisors is an integer number (13374552623200).

Almost surely, 2144444131034111 is an apocalyptic number.

144444131034111 is a deficient number, since it is larger than the sum of its proper divisors (69548710937089).

144444131034111 is a wasteful number, since it uses less digits than its factorization.

144444131034111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38418395 (or 38418389 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 144444131034111 its reverse (111430131444441), we get a palindrome (255874262478552).

The spelling of 144444131034111 in words is "one hundred forty-four trillion, four hundred forty-four billion, one hundred thirty-one million, thirty-four thousand, one hundred eleven".

Divisors: 1 3 9 27 139759 419277 1257831 3773493 38278627 114835881 344507643 1033522929 5349782630893 16049347892679 48148043678037 144444131034111