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131142442344 = 2336189578171
BaseRepresentation
bin111101000100010110…
…0101101110101101000
3110112111112122022220020
41322020230231311220
54122034431123334
6140125045400440
712321555240024
oct1721054556550
9415445568806
10131142442344
1150687542a61
12214bb409120
13c49c795914
1464c10d5384
1536282cee49
hex1e88b2dd68

131142442344 has 32 divisors (see below), whose sum is σ = 333230799840. Its totient is φ = 42997521600.

The previous prime is 131142442303. The next prime is 131142442351. The reversal of 131142442344 is 443244241131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 44787622 + ... + 44790549.

It is an arithmetic number, because the mean of its divisors is an integer number (10413462495).

Almost surely, 2131142442344 is an apocalyptic number.

It is an amenable number.

131142442344 is an abundant number, since it is smaller than the sum of its proper divisors (202088357496).

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

131142442344 is a wasteful number, since it uses less digits than its factorization.

131142442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89578241 (or 89578237 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 131142442344 its reverse (443244241131), we get a palindrome (574386683475).

The spelling of 131142442344 in words is "one hundred thirty-one billion, one hundred forty-two million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 89578171 179156342 268734513 358312684 537469026 716625368 1074938052 2149876104 5464268431 10928536862 16392805293 21857073724 32785610586 43714147448 65571221172 131142442344