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131440440 = 23352394583
BaseRepresentation
bin1111101010110…
…01111100111000
3100011022212101110
413311121330320
5232122043230
621013120320
73154140165
oct765317470
9304285343
10131440440
116821616a
12380290a0
1321301311
141365706c
15b8154b0
hex7d59f38

131440440 has 64 divisors (see below), whose sum is σ = 396057600. Its totient is φ = 34896512.

The previous prime is 131440433. The next prime is 131440457. The reversal of 131440440 is 44044131.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26389 + ... + 30971.

It is an arithmetic number, because the mean of its divisors is an integer number (6188400).

Almost surely, 2131440440 is an apocalyptic number.

131440440 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 131440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198028800).

131440440 is an abundant number, since it is smaller than the sum of its proper divisors (264617160).

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

131440440 is a wasteful number, since it uses less digits than its factorization.

131440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 131440440 is about 11464.7477076471. The cubic root of 131440440 is about 508.4438533023.

Adding to 131440440 its reverse (44044131), we get a palindrome (175484571).

The spelling of 131440440 in words is "one hundred thirty-one million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2390 2868 3585 4583 4780 5736 7170 9166 9560 13749 14340 18332 22915 27498 28680 36664 45830 54996 68745 91660 109992 137490 183320 274980 549960 1095337 2190674 3286011 4381348 5476685 6572022 8762696 10953370 13144044 16430055 21906740 26288088 32860110 43813480 65720220 131440440