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434579138444 = 221117580988153
BaseRepresentation
bin1100101001011101110…
…11110110011110001100
31112112201120022121102002
412110232323312132030
524110004224412234
6531350511051432
743253163504503
oct6245673663614
91475646277362
10434579138444
11158338659970
1270283810b78
1331c995c80c9
141706883783a
15b48754427e
hex652eef678c

434579138444 has 24 divisors (see below), whose sum is σ = 878454088848. Its totient is φ = 185916208640.

The previous prime is 434579138353. The next prime is 434579138471. The reversal of 434579138444 is 444831975434.

It is a super-2 number, since 2×4345791384442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434579138444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290493329 + ... + 290494824.

It is an arithmetic number, because the mean of its divisors is an integer number (36602253702).

Almost surely, 2434579138444 is an apocalyptic number.

434579138444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434579138444 is an abundant number, since it is smaller than the sum of its proper divisors (443874950404).

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

434579138444 is a wasteful number, since it uses less digits than its factorization.

434579138444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580988185 (or 580988183 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 56.

The spelling of 434579138444 in words is "four hundred thirty-four billion, five hundred seventy-nine million, one hundred thirty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 580988153 1161976306 2323952612 6390869683 9876798601 12781739366 19753597202 25563478732 39507194404 108644784611 217289569222 434579138444