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132002344413 = 341725638957
BaseRepresentation
bin111101011101111110…
…0111110110111011101
3110121201110200212210000
41322323330332313131
54130320100010123
6140350244204513
712352066262112
oct1727374766735
9417643625700
10132002344413
1150a88978125
12216bb399739
13c5a8990004
1465633b4909
153678a3ab43
hex1ebbf3eddd

132002344413 has 30 divisors (see below), whose sum is σ = 209470372826. Its totient is φ = 82824985728.

The previous prime is 132002344339. The next prime is 132002344427. The reversal of 132002344413 is 314443200231.

132002344413 is a `hidden beast` number, since 1 + 3 + 200 + 2 + 3 + 44 + 413 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 61354299204 + 70648045209 = 247698^2 + 265797^2 .

It is not a de Polignac number, because 132002344413 - 28 = 132002344157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002344493) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2796070 + ... + 2842887.

Almost surely, 2132002344413 is an apocalyptic number.

It is an amenable number.

132002344413 is a deficient number, since it is larger than the sum of its proper divisors (77468028413).

132002344413 is an equidigital number, since it uses as much as digits as its factorization.

132002344413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639003 (or 5638977 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132002344413 its reverse (314443200231), we get a palindrome (446445544644).

The spelling of 132002344413 in words is "one hundred thirty-two billion, two million, three hundred forty-four thousand, four hundred thirteen".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 7803 23409 5638957 16916871 50750613 95862269 152251839 287586807 456755517 862760421 1629658573 2588281263 4888975719 7764843789 14666927157 44000781471 132002344413