Search a number
-
+
149259368281 = 211218312
BaseRepresentation
bin1000101100000010001…
…1010011011101011001
3112021021010211112011011
42023000203103131121
54421140344241111
6152322510133521
713532533461052
oct2130043233531
9467233745134
10149259368281
1158334027621
1224b167b12a1
13110c8cb4b3a
14731d27b729
153d38a83021
hex22c08d3759

149259368281 has 9 divisors (see below), whose sum is σ = 150052062069. Its totient is φ = 148470846300.

The previous prime is 149259368231. The next prime is 149259368299. The reversal of 149259368281 is 182863952941.

It is a happy number.

The square root of 149259368281 is 386341.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-149259368281 is a prime.

It is a super-2 number, since 2×1492593682812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149259368231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81517036 + ... + 81518866.

It is an arithmetic number, because the mean of its divisors is an integer number (16672451341).

Almost surely, 2149259368281 is an apocalyptic number.

149259368281 is the 386341-st square number.

149259368281 is the 193171-st centered octagonal number.

It is an amenable number.

149259368281 is a deficient number, since it is larger than the sum of its proper divisors (792693788).

149259368281 is an frugal number, since it uses more digits than its factorization.

149259368281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 2042 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 58.

The spelling of 149259368281 in words is "one hundred forty-nine billion, two hundred fifty-nine million, three hundred sixty-eight thousand, two hundred eighty-one".

Divisors: 1 211 1831 44521 386341 3352561 81517951 707390371 149259368281