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130161444 = 223721811223
BaseRepresentation
bin1111100001000…
…01101100100100
3100001220212221020
413300201230210
5231310131234
620525451140
73140232300
oct760415444
9301825836
10130161444
1167522246
1237710ab0
1320c7410a
1413402d00
15b661549
hex7c21b24

130161444 has 72 divisors (see below), whose sum is σ = 355537728. Its totient is φ = 36953280.

The previous prime is 130161433. The next prime is 130161491. The reversal of 130161444 is 444161031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105817 + ... + 107039.

It is an arithmetic number, because the mean of its divisors is an integer number (4938024).

Almost surely, 2130161444 is an apocalyptic number.

130161444 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 130161444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768864).

130161444 is an abundant number, since it is smaller than the sum of its proper divisors (225376284).

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

130161444 is a wasteful number, since it uses less digits than its factorization.

130161444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 130161444 is about 11408.8318420424. The cubic root of 130161444 is about 506.7893183752.

The spelling of 130161444 in words is "one hundred thirty million, one hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 181 196 294 362 543 588 724 1086 1223 1267 2172 2446 2534 3669 3801 4892 5068 7338 7602 8561 8869 14676 15204 17122 17738 25683 26607 34244 35476 51366 53214 59927 102732 106428 119854 179781 221363 239708 359562 442726 664089 719124 885452 1328178 1549541 2656356 3099082 4648623 6198164 9297246 10846787 18594492 21693574 32540361 43387148 65080722 130161444