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131234440 = 2354180021
BaseRepresentation
bin1111101001001…
…11101010001000
3100010221101210211
413310213222020
5232044000230
621004450504
73152321461
oct764475210
9303841724
10131234440
1168095417
1237b49a34
132125b61c
1413601d68
15b7c442a
hex7d27a88

131234440 has 32 divisors (see below), whose sum is σ = 302483160. Its totient is φ = 51212800.

The previous prime is 131234437. The next prime is 131234443. The reversal of 131234440 is 44432131.

It is an interprime number because it is at equal distance from previous prime (131234437) and next prime (131234443).

It can be written as a sum of positive squares in 4 ways, for example, as 30713764 + 100520676 = 5542^2 + 10026^2 .

It is a super-2 number, since 2×1312344402 = 34444956484227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131234443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38371 + ... + 41650.

Almost surely, 2131234440 is an apocalyptic number.

131234440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131234440 is an abundant number, since it is smaller than the sum of its proper divisors (171248720).

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

131234440 is a wasteful number, since it uses less digits than its factorization.

131234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80073 (or 80069 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 131234440 is about 11455.7601231869. The cubic root of 131234440 is about 508.1780949124.

Adding to 131234440 its reverse (44432131), we get a palindrome (175666571).

The spelling of 131234440 in words is "one hundred thirty-one million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 80021 160042 320084 400105 640168 800210 1600420 3200840 3280861 6561722 13123444 16404305 26246888 32808610 65617220 131234440