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131441244 = 2231141149163
BaseRepresentation
bin1111101010110…
…10001001011100
3100011022220111020
413311122021130
5232122104434
621013124140
73154142424
oct765321134
9304286436
10131441244
1168216830
1238029650
13213017ac
1413657484
15b815849
hex7d5a25c

131441244 has 96 divisors (see below), whose sum is σ = 347155200. Its totient is φ = 38361600.

The previous prime is 131441243. The next prime is 131441249. The reversal of 131441244 is 442144131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131441243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806307 + ... + 806469.

It is an arithmetic number, because the mean of its divisors is an integer number (3616200).

Almost surely, 2131441244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131441244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173577600).

131441244 is an abundant number, since it is smaller than the sum of its proper divisors (215713956).

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

131441244 is a wasteful number, since it uses less digits than its factorization.

131441244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 131441244 is about 11464.7827716010. The cubic root of 131441244 is about 508.4448899899. Note that the first 3 decimals are identical.

Adding to 131441244 its reverse (442144131), we get a palindrome (573585375).

The spelling of 131441244 in words is "one hundred thirty-one million, four hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 149 163 164 246 298 326 447 451 489 492 596 652 894 902 978 1353 1639 1788 1793 1804 1956 2706 3278 3586 4917 5379 5412 6109 6556 6683 7172 9834 10758 12218 13366 18327 19668 20049 21516 24287 24436 26732 36654 40098 48574 67199 72861 73308 73513 80196 97148 134398 145722 147026 201597 220539 267157 268796 291444 294052 403194 441078 534314 801471 806388 882156 995767 1068628 1602942 1991534 2987301 3205884 3983068 5974602 10953437 11949204 21906874 32860311 43813748 65720622 131441244