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132400414341 = 321329285113687
BaseRepresentation
bin111101101001110101…
…1011111111010000101
3110122202012201221001200
41323103223133322011
54132124001224331
6140453544213113
712365001644616
oct1732353377205
9418665657050
10132400414341
1151172644a38
12217b076a199
13c6402a6c50
1465a01d5c0d
15369d96c5e6
hex1ed3adfe85

132400414341 has 48 divisors (see below), whose sum is σ = 213148440960. Its totient is φ = 78634281600.

The previous prime is 132400414327. The next prime is 132400414453. The reversal of 132400414341 is 143414004231.

132400414341 is a `hidden beast` number, since 1 + 3 + 240 + 0 + 414 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 132400414341 - 25 = 132400414309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400404341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9666600 + ... + 9680286.

It is an arithmetic number, because the mean of its divisors is an integer number (4440592520).

Almost surely, 2132400414341 is an apocalyptic number.

It is an amenable number.

132400414341 is a deficient number, since it is larger than the sum of its proper divisors (80748026619).

132400414341 is a wasteful number, since it uses less digits than its factorization.

132400414341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16586 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132400414341 its reverse (143414004231), we get a palindrome (275814418572).

The spelling of 132400414341 in words is "one hundred thirty-two billion, four hundred million, four hundred fourteen thousand, three hundred forty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 2851 3393 8553 13687 25659 37063 41061 82679 111189 123183 177931 248037 333567 396923 533793 744111 1074827 1190769 1601379 3224481 3572307 5159999 9673443 15479997 39021637 46439991 117064911 351194733 507281281 1131627473 1521843843 3394882419 4565531529 10184647257 14711157149 44133471447 132400414341