Search a number
-
+
123141124214433 = 32132026215194369
BaseRepresentation
bin11011111111111100000110…
…111101110100111010100001
3121011000011202200011012102100
4123333330012331310322201
5112120021010244330213
61113522130154041013
734636436565364533
oct3377740675647241
9534004680135370
10123141124214433
1136266948377a66
12119896a9419169
1353932096c9cb0
14225a0c29d7853
15e382b3636773
hex6fff06f74ea1

123141124214433 has 24 divisors (see below), whose sum is σ = 191553842141480. Its totient is φ = 75778764779520.

The previous prime is 123141124214393. The next prime is 123141124214513. The reversal of 123141124214433 is 334412421141321.

123141124214433 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 4 + 1 + 1 + 2 + 4 + 214 + 433 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19568838574224 + 103572285640209 = 4423668^2 + 10177047^2 .

It is not a de Polignac number, because 123141124214433 - 28 = 123141124214177 is a prime.

It is a super-2 number, since 2×1231411242144332 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123141124204433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21109473 + ... + 26303841.

Almost surely, 2123141124214433 is an apocalyptic number.

123141124214433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123141124214433 is a deficient number, since it is larger than the sum of its proper divisors (68412717927047).

123141124214433 is a wasteful number, since it uses less digits than its factorization.

123141124214433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397009 (or 5397006 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 123141124214433 its reverse (334412421141321), we get a palindrome (457553545355754).

The spelling of 123141124214433 in words is "one hundred twenty-three trillion, one hundred forty-one billion, one hundred twenty-four million, two hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 117 202621 607863 1823589 2634073 5194369 7902219 15583107 23706657 46749321 67526797 202580391 607741173 1052488241149 3157464723447 9472394170341 13682347134937 41047041404811 123141124214433