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132140408672 = 2517214288539
BaseRepresentation
bin111101100010000101…
…1101001111101100000
3110122002002111021100002
41323010023221331200
54131110421034142
6140412055315132
712355363640606
oct1730413517540
9418062437302
10132140408672
11510498a7918
122173967baa8
13c5cb47023c
146577873876
153685c0da32
hex1ec42e9f60

132140408672 has 36 divisors (see below), whose sum is σ = 276354652140. Its totient is φ = 62183717376.

The previous prime is 132140408651. The next prime is 132140408683. The reversal of 132140408672 is 276804041231.

It is a super-2 number, since 2×1321404086722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7135022 + ... + 7153517.

It is an arithmetic number, because the mean of its divisors is an integer number (7676518115).

Almost surely, 2132140408672 is an apocalyptic number.

It is an amenable number.

132140408672 is an abundant number, since it is smaller than the sum of its proper divisors (144214243468).

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

132140408672 is a wasteful number, since it uses less digits than its factorization.

132140408672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288583 (or 14288558 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 132140408672 in words is "one hundred thirty-two billion, one hundred forty million, four hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 9248 14288539 28577078 57154156 114308312 228616624 242905163 457233248 485810326 971620652 1943241304 3886482608 4129387771 7772965216 8258775542 16517551084 33035102168 66070204336 132140408672