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132434401424 = 2413868973277
BaseRepresentation
bin111101101010110110…
…1001001100010010000
3110122211120200122120112
41323111231021202100
54132211201321144
6140501200500452
712365563560413
oct1732555114220
9418746618515
10132434401424
115118a848a36
122180001a728
13c647346950
1465a4921b7a
1536a193299e
hex1ed5b49890

132434401424 has 40 divisors (see below), whose sum is σ = 276365045880. Its totient is φ = 61115701248.

The previous prime is 132434401417. The next prime is 132434401427. The reversal of 132434401424 is 424104434231.

It can be written as a sum of positive squares in 4 ways, for example, as 7378810000 + 125055591424 = 85900^2 + 353632^2 .

It is not an unprimeable number, because it can be changed into a prime (132434401427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1770674 + ... + 1843950.

It is an arithmetic number, because the mean of its divisors is an integer number (6909126147).

Almost surely, 2132434401424 is an apocalyptic number.

It is an amenable number.

132434401424 is an abundant number, since it is smaller than the sum of its proper divisors (143930644456).

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

132434401424 is a wasteful number, since it uses less digits than its factorization.

132434401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81987 (or 81981 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 132434401424 its reverse (424104434231), we get a palindrome (556538835655).

The spelling of 132434401424 in words is "one hundred thirty-two billion, four hundred thirty-four million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 8689 17378 34756 69512 73277 112957 139024 146554 225914 293108 451828 586216 903656 952601 1172432 1807312 1905202 3810404 7620808 15241616 636703853 1273407706 2546815412 5093630824 8277150089 10187261648 16554300178 33108600356 66217200712 132434401424