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132434009344 = 287135684839
BaseRepresentation
bin111101101010110101…
…1101001110100000000
3110122211112221201202001
41323111223221310000
54132211101244334
6140501144233344
712365560335340
oct1732553516400
9418745851661
10132434009344
115118a6003aa
12217bba6b854
13c64723a350
1465a485cd20
1536a18a6714
hex1ed5ae9d00

132434009344 has 72 divisors (see below), whose sum is σ = 325354762880. Its totient is φ = 52391467008.

The previous prime is 132434009321. The next prime is 132434009347. The reversal of 132434009344 is 443900434231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132434009347) 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, 2819124 + ... + 2865715.

Almost surely, 2132434009344 is an apocalyptic number.

132434009344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132434009344 is an abundant number, since it is smaller than the sum of its proper divisors (192920753536).

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

132434009344 is an equidigital number, since it uses as much as digits as its factorization.

132434009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684875 (or 5684861 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 132434009344 in words is "one hundred thirty-two billion, four hundred thirty-four million, nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 11648 23296 5684839 11369678 22739356 39793873 45478712 73902907 79587746 90957424 147805814 159175492 181914848 295611628 318350984 363829696 517320349 591223256 636701968 727659392 1034640698 1182446512 1273403936 1455318784 2069281396 2364893024 2546807872 4138562792 4729786048 5093615744 8277125584 9459572096 10187231488 16554251168 18919144192 33108502336 66217004672 132434009344