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132401412252 = 223234491066343
BaseRepresentation
bin111101101001110111…
…1010011100010011100
3110122202021121121221100
41323103233103202130
54132124230143002
6140454021433100
712365013302154
oct1732357234234
9418667547840
10132401412252
115117316675a
12217b0b6b790
13c640566225
1465a03b5764
15369dab811c
hex1ed3bd389c

132401412252 has 36 divisors (see below), whose sum is σ = 334778698800. Its totient is φ = 44120966592.

The previous prime is 132401412223. The next prime is 132401412257. The reversal of 132401412252 is 252214104231.

132401412252 is a `hidden beast` number, since 1 + 3 + 2 + 401 + 4 + 1 + 2 + 252 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132401412257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409008 + ... + 657335.

It is an arithmetic number, because the mean of its divisors is an integer number (9299408300).

Almost surely, 2132401412252 is an apocalyptic number.

132401412252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132401412252 is an abundant number, since it is smaller than the sum of its proper divisors (202377286548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132401412252 is a wasteful number, since it uses less digits than its factorization.

132401412252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069802 (or 1069797 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 132401412252 its reverse (252214104231), we get a palindrome (384615516483).

The spelling of 132401412252 in words is "one hundred thirty-two billion, four hundred one million, four hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3449 6898 10347 13796 20694 31041 41388 62082 124164 1066343 2132686 3199029 4265372 6398058 9597087 12796116 19194174 38388348 3677817007 7355634014 11033451021 14711268028 22066902042 33100353063 44133804084 66200706126 132401412252