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132042642435 = 32511972750029
BaseRepresentation
bin111101011111001011…
…0101101010000000011
3110121211021112020021100
41322332112231100003
54130410404024220
6140354244025443
712353065641054
oct1727626552003
9417737466240
10132042642435
1150aa96a1680
1221710992283
13c5b412c3b2
1465688a472b
15367c34ad90
hex1ebe5ad403

132042642435 has 48 divisors (see below), whose sum is σ = 252254751840. Its totient is φ = 63360645120.

The previous prime is 132042642397. The next prime is 132042642439. The reversal of 132042642435 is 534246240231.

132042642435 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 2 + 642 + 4 + 3 + 5 = 666.

It is not a de Polignac number, because 132042642435 - 216 = 132042576899 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132042642435.

It is not an unprimeable number, because it can be changed into a prime (132042642439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327000 + ... + 1423029.

It is an arithmetic number, because the mean of its divisors is an integer number (5255307330).

Almost surely, 2132042642435 is an apocalyptic number.

132042642435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132042642435 is a deficient number, since it is larger than the sum of its proper divisors (120212109405).

132042642435 is a wasteful number, since it uses less digits than its factorization.

132042642435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750148 (or 2750145 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 132042642435 its reverse (534246240231), we get a palindrome (666288882666).

It can be divided in two parts, 132042 and 642435, that added together give a palindrome (774477).

The spelling of 132042642435 in words is "one hundred thirty-two billion, forty-two million, six hundred forty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 97 99 165 291 485 495 873 1067 1455 3201 4365 5335 9603 16005 48015 2750029 8250087 13750145 24750261 30250319 41250435 90750957 123751305 151251595 266752813 272252871 453754785 800258439 1333764065 1361264355 2400775317 2934280943 4001292195 8802842829 12003876585 14671404715 26408528487 44014214145 132042642435