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131236262144 = 281339433973
BaseRepresentation
bin111101000111001001…
…0100111000100000000
3110112202002011212110122
41322032102213010000
54122232440342034
6140142240315412
712324104552111
oct1721622470400
9415662155418
10131236262144
11507254a3189
1221526912b68
13c4b60543b0
1464cd758208
15363166362e
hex1e8e4a7100

131236262144 has 36 divisors (see below), whose sum is σ = 282110649996. Its totient is φ = 60570580992.

The previous prime is 131236262137. The next prime is 131236262149. The reversal of 131236262144 is 441262632131.

It can be written as a sum of positive squares in 2 ways, for example, as 29419110400 + 101817151744 = 171520^2 + 319088^2 .

It is not an unprimeable number, because it can be changed into a prime (131236262149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19713659 + ... + 19720314.

Almost surely, 2131236262144 is an apocalyptic number.

It is an amenable number.

131236262144 is an abundant number, since it is smaller than the sum of its proper divisors (150874387852).

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

131236262144 is an equidigital number, since it uses as much as digits as its factorization.

131236262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39434002 (or 39433988 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

Adding to 131236262144 its reverse (441262632131), we get a palindrome (572498894275).

The spelling of 131236262144 in words is "one hundred thirty-one billion, two hundred thirty-six million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 39433973 78867946 157735892 315471784 512641649 630943568 1025283298 1261887136 2050566596 2523774272 4101133192 5047548544 8202266384 10095097088 16404532768 32809065536 65618131072 131236262144