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131448044 = 227133311091
BaseRepresentation
bin1111101010110…
…11110011101100
3100011100020211002
413311123303230
5232122314134
621013215432
73154201310
oct765336354
9304306732
10131448044
1168220952
1238031578
1321304910
1413659b40
15b81787e
hex7d5bcec

131448044 has 48 divisors (see below), whose sum is σ = 284234496. Its totient is φ = 51796800.

The previous prime is 131448043. The next prime is 131448071. The reversal of 131448044 is 440844131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131447998 and 131448016.

It is not an unprimeable number, because it can be changed into a prime (131448043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119939 + ... + 121029.

It is an arithmetic number, because the mean of its divisors is an integer number (5921552).

Almost surely, 2131448044 is an apocalyptic number.

131448044 is a gapful number since it is divisible by the number (14) 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 131448044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142117248).

131448044 is an abundant number, since it is smaller than the sum of its proper divisors (152786452).

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

131448044 is a wasteful number, since it uses less digits than its factorization.

131448044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 131448044 is about 11465.0793281163. The cubic root of 131448044 is about 508.4536578254.

The spelling of 131448044 in words is "one hundred thirty-one million, four hundred forty-eight thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 331 364 662 1091 1324 2182 2317 4303 4364 4634 7637 8606 9268 14183 15274 17212 28366 30121 30548 56732 60242 99281 120484 198562 361121 397124 722242 1444484 2527847 4694573 5055694 9389146 10111388 18778292 32862011 65724022 131448044