Search a number
-
+
124142413411 = 3125313717791
BaseRepresentation
bin111001110011101110…
…1101110011001100011
3102212102200212000102101
41303213131232121203
54013220424212121
6133010310431231
711653236050302
oct1634735563143
9385380760371
10124142413411
1148715179685
1220087062517
13b92547c773
14601956c439
1533689ac491
hex1ce776e663

124142413411 has 24 divisors (see below), whose sum is σ = 131657882112. Its totient is φ = 117004118400.

The previous prime is 124142413363. The next prime is 124142413457. The reversal of 124142413411 is 114314241421.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-124142413411 is a prime.

It is a super-2 number, since 2×1241424134112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 124142413411.

It is not an unprimeable number, because it can be changed into a prime (124142413471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6968926 + ... + 6986716.

It is an arithmetic number, because the mean of its divisors is an integer number (5485745088).

Almost surely, 2124142413411 is an apocalyptic number.

124142413411 is a deficient number, since it is larger than the sum of its proper divisors (7515468701).

124142413411 is a wasteful number, since it uses less digits than its factorization.

124142413411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18043 (or 18012 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

Adding to 124142413411 its reverse (114314241421), we get a palindrome (238456654832).

The spelling of 124142413411 in words is "one hundred twenty-four billion, one hundred forty-two million, four hundred thirteen thousand, four hundred eleven".

Divisors: 1 31 53 137 961 1643 4247 7261 17791 50933 131657 225091 551521 942923 2437367 6977821 17097151 29230613 75558377 129180451 906149003 2342309687 4004593981 124142413411