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132442324209 = 33133112171889
BaseRepresentation
bin111101101011000101…
…1010111110011110001
3110122212010121011121000
41323112023113303301
54132220213333314
6140502042352213
712366021116046
oct1732613276361
9418763534530
10132442324209
115119426a498
12218027bb669
13c648b8bba0
1465a59c51cd
1536a249a209
hex1ed62d7cf1

132442324209 has 32 divisors (see below), whose sum is σ = 218120268800. Its totient is φ = 78873834240.

The previous prime is 132442324207. The next prime is 132442324291. The reversal of 132442324209 is 902423244231.

132442324209 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 423 + 24 + 209 = 666.

It is not a de Polignac number, because 132442324209 - 21 = 132442324207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132442324207) 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 31 ways as a sum of consecutive naturals, for example, 6075064 + ... + 6096825.

It is an arithmetic number, because the mean of its divisors is an integer number (6816258400).

Almost surely, 2132442324209 is an apocalyptic number.

It is an amenable number.

132442324209 is a deficient number, since it is larger than the sum of its proper divisors (85677944591).

132442324209 is a wasteful number, since it uses less digits than its factorization.

132442324209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171942 (or 12171936 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 132442324209 in words is "one hundred thirty-two billion, four hundred forty-two million, three hundred twenty-four thousand, two hundred nine".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 10881 12171889 36515667 109547001 158234557 328641003 377328559 474703671 1131985677 1424111013 3395957031 4272333039 4905271267 10187871093 14715813801 44147441403 132442324209