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132324041362144 = 2529314113059019
BaseRepresentation
bin11110000101100100010111…
…011110110000101011100000
3122100112001110221211220101011
4132011210113132300223200
5114320444114042042034
61145232454141550304
736605045046303052
oct3605442736605340
9570461427756334
10132324041362144
1139187346739545
1212a11351875394
1358ab146697018
142496736ab58d2
1510470ba696864
hex7859177b0ae0

132324041362144 has 24 divisors (see below), whose sum is σ = 261402079168440. Its totient is φ = 65936211732096.

The previous prime is 132324041362141. The next prime is 132324041362171. The reversal of 132324041362144 is 441263140423231.

It is a super-3 number, since 3×1323240413621443 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132324041362097 and 132324041362106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132324041362141) 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 3 ways as a sum of consecutive naturals, for example, 7056520134 + ... + 7056538885.

It is an arithmetic number, because the mean of its divisors is an integer number (10891753298685).

Almost surely, 2132324041362144 is an apocalyptic number.

It is an amenable number.

132324041362144 is a deficient number, since it is larger than the sum of its proper divisors (129078037806296).

132324041362144 is a wasteful number, since it uses less digits than its factorization.

132324041362144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14113059322 (or 14113059314 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

Adding to 132324041362144 its reverse (441263140423231), we get a palindrome (573587181785375).

The spelling of 132324041362144 in words is "one hundred thirty-two trillion, three hundred twenty-four billion, forty-one million, three hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 293 586 1172 2344 4688 9376 14113059019 28226118038 56452236076 112904472152 225808944304 451617888608 4135126292567 8270252585134 16540505170268 33081010340536 66162020681072 132324041362144