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131442414224 = 2411267893809
BaseRepresentation
bin111101001101010010…
…1000001001010010000
3110120021110002110221212
41322122211001022100
54123143224223344
6140214523035252
712332160041432
oct1723245011220
9416243073855
10131442414224
11508208a8300
122158396bb28
13c519983984
14650cc9c652
1536447d579e
hex1e9a941290

131442414224 has 30 divisors (see below), whose sum is σ = 279926178630. Its totient is φ = 59746551040.

The previous prime is 131442414221. The next prime is 131442414253. The reversal of 131442414224 is 422414244131.

It can be written as a sum of positive squares in only one way, i.e., 123130810000 + 8311604224 = 350900^2 + 91168^2 .

It is not an unprimeable number, because it can be changed into a prime (131442414221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33944969 + ... + 33948840.

It is an arithmetic number, because the mean of its divisors is an integer number (9330872621).

Almost surely, 2131442414224 is an apocalyptic number.

It is an amenable number.

131442414224 is an abundant number, since it is smaller than the sum of its proper divisors (148483764406).

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

131442414224 is a wasteful number, since it uses less digits than its factorization.

131442414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67893839 (or 67893822 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

Adding to 131442414224 its reverse (422414244131), we get a palindrome (553856658355).

The spelling of 131442414224 in words is "one hundred thirty-one billion, four hundred forty-two million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 67893809 135787618 271575236 543150472 746831899 1086300944 1493663798 2987327596 5974655192 8215150889 11949310384 16430301778 32860603556 65721207112 131442414224