Search a number
-
+
144432234120411 = 32412812215962861
BaseRepresentation
bin100000110101110001000000…
…000000100100010011011011
3200221101120211201200120221200
4200311301000000210103123
5122412334203413323121
61231103130302205243
742264612255510516
oct4065610000442333
9627346751616850
10144432234120411
1142025403902a46
1214247b26b83823
136278b940294a3
1427947b3837d7d
1511a7031bc5a26
hex835c400244db

144432234120411 has 48 divisors (see below), whose sum is σ = 214486371066240. Its totient is φ = 93599646336000.

The previous prime is 144432234120401. The next prime is 144432234120451. The reversal of 144432234120411 is 114021432234441.

144432234120411 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 3 + 2 + 234 + 1 + 2 + 0 + 411 = 666.

It is not a de Polignac number, because 144432234120411 - 210 = 144432234119387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144432234120401) 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 47 ways as a sum of consecutive naturals, for example, 2297613121 + ... + 2297675981.

It is an arithmetic number, because the mean of its divisors is an integer number (4468466063880).

Almost surely, 2144432234120411 is an apocalyptic number.

144432234120411 is a deficient number, since it is larger than the sum of its proper divisors (70054136945829).

144432234120411 is a wasteful number, since it uses less digits than its factorization.

144432234120411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85348 (or 85345 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144432234120411 its reverse (114021432234441), we get a palindrome (258453666354852).

The spelling of 144432234120411 in words is "one hundred forty-four trillion, four hundred thirty-two billion, two hundred thirty-four million, one hundred twenty thousand, four hundred eleven".

Divisors: 1 3 9 41 123 281 369 843 2529 11521 22159 34563 62861 66477 103689 188583 199431 565749 908519 2577301 2725557 6226679 7731903 8176671 17663941 18680037 23195709 52991823 56040111 158975469 255293839 724221581 765881517 1392936899 2172664743 2297644551 4178810697 6517994229 12536432091 57110412859 171331238577 391415268619 513993715731 1174245805857 3522737417571 16048026013379 48144078040137 144432234120411