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130144448 = 267319371
BaseRepresentation
bin1111100000111…
…01100011000000
3100001220000121202
413300131203000
5231304110243
620525240332
73140131610
oct760354300
9301800552
10130144448
11675104a5
12377030a8
1320c69465
14133daa40
15b65b4b8
hex7c1d8c0

130144448 has 56 divisors (see below), whose sum is σ = 304702464. Its totient is φ = 53971200.

The previous prime is 130144423. The next prime is 130144451. The reversal of 130144448 is 844441031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 130144448.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9203 + ... + 18573.

Almost surely, 2130144448 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 130144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152351232).

130144448 is an abundant number, since it is smaller than the sum of its proper divisors (174558016).

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

130144448 is an equidigital number, since it uses as much as digits as its factorization.

130144448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9421 (or 9411 counting only the distinct ones).

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

The square root of 130144448 is about 11408.0869561903. The cubic root of 130144448 is about 506.7672591901.

Adding to 130144448 its reverse (844441031), we get a palindrome (974585479).

The spelling of 130144448 in words is "one hundred thirty million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 9371 13888 18742 37484 65597 74968 131194 149936 262388 290501 299872 524776 581002 599744 1049552 1162004 2033507 2099104 2324008 4067014 4198208 4648016 8134028 9296032 16268056 18592064 32536112 65072224 130144448