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130044042 = 2341575113
BaseRepresentation
bin1111100000001…
…01000010001010
3100001200220220000
413300011002022
5231242402132
620523143430
73136233102
oct760050212
9301626800
10130044042
1167452017
1237674b76
1320c3284b
14133b2202
15b63b87c
hex7c0508a

130044042 has 40 divisors (see below), whose sum is σ = 293308356. Its totient is φ = 43063488.

The previous prime is 130044029. The next prime is 130044043. The reversal of 130044042 is 240440031.

It can be written as a sum of positive squares in 2 ways, for example, as 105452361 + 24591681 = 10269^2 + 4959^2 .

It is a super-2 number, since 2×1300440422 = 33822905719395528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130044043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22878 + ... + 27990.

Almost surely, 2130044042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130044042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146654178).

130044042 is an abundant number, since it is smaller than the sum of its proper divisors (163264314).

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

130044042 is a wasteful number, since it uses less digits than its factorization.

130044042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5275 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130044042 is about 11403.6854569038. The cubic root of 130044042 is about 506.6369025875.

Adding to 130044042 its reverse (240440031), we get a palindrome (370484073).

The spelling of 130044042 in words is "one hundred thirty million, forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 314 471 942 1413 2826 4239 5113 8478 10226 12717 15339 25434 30678 46017 92034 138051 276102 414153 802741 828306 1605482 2408223 4816446 7224669 14449338 21674007 43348014 65022021 130044042