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132445005024 = 2534241325309
BaseRepresentation
bin111101101011001010…
…1100110010011100000
3110122212022122100222110
41323112111212103200
54132221410130044
6140502220035320
712366052652613
oct1732625462340
9418768570873
10132445005024
1151195830642
1221803692b40
13c6495ba177
1465a60c217a
1536a28296b9
hex1ed65664e0

132445005024 has 48 divisors (see below), whose sum is σ = 347751185040. Its totient is φ = 44137789440.

The previous prime is 132445005023. The next prime is 132445005037. The reversal of 132445005024 is 420500544231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 132445004982 and 132445005000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132445005023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 244482 + ... + 569790.

It is an arithmetic number, because the mean of its divisors is an integer number (7244816355).

Almost surely, 2132445005024 is an apocalyptic number.

It is an amenable number.

132445005024 is an abundant number, since it is smaller than the sum of its proper divisors (215306180016).

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

132445005024 is a wasteful number, since it uses less digits than its factorization.

132445005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329563 (or 329555 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 132445005024 its reverse (420500544231), we get a palindrome (552945549255).

The spelling of 132445005024 in words is "one hundred thirty-two billion, four hundred forty-five million, five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4241 8482 12723 16964 25446 33928 50892 67856 101784 135712 203568 325309 407136 650618 975927 1301236 1951854 2602472 3903708 5204944 7807416 10409888 15614832 31229664 1379635469 2759270938 4138906407 5518541876 8277812814 11037083752 16555625628 22074167504 33111251256 44148335008 66222502512 132445005024