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441034130120 = 235109101154617
BaseRepresentation
bin1100110101011111010…
…11101100001011001000
31120011101102112011022212
412122233223230023020
524211214214130440
6534335220004252
743602144152303
oct6325753541310
91504342464285
10441034130120
111600502a5731
1271585530688
1332787a1a8cc
14174bbc43b3a
15b7140a4465
hex66afaec2c8

441034130120 has 32 divisors (see below), whose sum is σ = 1001430718200. Its totient is φ = 174795176448.

The previous prime is 441034130087. The next prime is 441034130143. The reversal of 441034130120 is 21031430144.

It can be written as a sum of positive squares in 4 ways, for example, as 439868727076 + 1165403044 = 663226^2 + 34138^2 .

It is a super-2 number, since 2×4410341301202 (a number of 24 digits) contains 22 as substring.

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, 50572949 + ... + 50581668.

Almost surely, 2441034130120 is an apocalyptic number.

441034130120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441034130120 is an abundant number, since it is smaller than the sum of its proper divisors (560396588080).

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

441034130120 is a wasteful number, since it uses less digits than its factorization.

441034130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101154737 (or 101154733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 441034130120 its reverse (21031430144), we get a palindrome (462065560264).

The spelling of 441034130120 in words is "four hundred forty-one billion, thirty-four million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 101154617 202309234 404618468 505773085 809236936 1011546170 2023092340 4046184680 11025853253 22051706506 44103413012 55129266265 88206826024 110258532530 220517065060 441034130120