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131444340 = 223517314157
BaseRepresentation
bin1111101010110…
…10111001110100
3100011100001201220
413311122321310
5232122204330
621013150340
73154154436
oct765327164
9304301656
10131444340
1168219095
123802b3b0
1321303021
1413658656
15b816710
hex7d5ae74

131444340 has 96 divisors (see below), whose sum is σ = 402361344. Its totient is φ = 31918080.

The previous prime is 131444321. The next prime is 131444347. The reversal of 131444340 is 43444131.

It is a super-2 number, since 2×1314443402 = 34555229036071200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131444340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131444347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29542 + ... + 33698.

It is an arithmetic number, because the mean of its divisors is an integer number (4191264).

Almost surely, 2131444340 is an apocalyptic number.

131444340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

131444340 is an abundant number, since it is smaller than the sum of its proper divisors (270917004).

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

131444340 is a wasteful number, since it uses less digits than its factorization.

131444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 131444340 is about 11464.9177929892. The cubic root of 131444340 is about 508.4488819713.

Adding to 131444340 its reverse (43444131), we get a palindrome (174888471).

It can be divided in two parts, 1314 and 44340, that added together give a palindrome (45654).

The spelling of 131444340 in words is "one hundred thirty-one million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2635 3162 4157 5270 6324 7905 8314 10540 12471 15810 16628 20785 24942 31620 41570 49884 62355 70669 83140 124710 128867 141338 212007 249420 257734 282676 353345 386601 424014 515468 644335 706690 773202 848028 1060035 1288670 1413380 1546404 1933005 2120070 2190739 2577340 3866010 4240140 4381478 6572217 7732020 8762956 10953695 13144434 21907390 26288868 32861085 43814780 65722170 131444340