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4411432242 = 2327592572309
BaseRepresentation
bin1000001101111000…
…10001110100110010
3102101102212222101100
410012330101310302
533013311312432
62005424145230
7214214361330
oct40674216462
912342788340
104411432242
111964158378
12a31468216
13553c36749
142dbc52b50
151ac44607c
hex106f11d32

4411432242 has 96 divisors (see below), whose sum is σ = 11156745600. Its totient is φ = 1233690624.

The previous prime is 4411432241. The next prime is 4411432261. The reversal of 4411432242 is 2422341144.

4411432242 is a `hidden beast` number, since 4 + 411 + 4 + 3 + 2 + 242 = 666.

It is not an unprimeable number, because it can be changed into a prime (4411432241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909384 + ... + 1911692.

It is an arithmetic number, because the mean of its divisors is an integer number (116216100).

Almost surely, 24411432242 is an apocalyptic number.

4411432242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4411432242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578372800).

4411432242 is an abundant number, since it is smaller than the sum of its proper divisors (6745313358).

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

4411432242 is a wasteful number, since it uses less digits than its factorization.

4411432242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2637 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4411432242 is about 66418.6136711690. The cubic root of 4411432242 is about 1640.0605076327.

Adding to 4411432242 its reverse (2422341144), we get a palindrome (6833773386).

The spelling of 4411432242 in words is "four billion, four hundred eleven million, four hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 257 354 413 514 531 771 826 1062 1239 1542 1799 2309 2313 2478 3598 3717 4618 4626 5397 6927 7434 10794 13854 15163 16163 16191 20781 30326 32326 32382 41562 45489 48489 90978 96978 106141 136231 136467 145467 212282 272462 272934 290934 318423 408693 593413 636846 817386 953617 955269 1186826 1226079 1780239 1907234 1910538 2452158 2860851 3560478 4153891 5340717 5721702 8307782 8582553 10681434 12461673 17165106 24923346 35011367 37385019 70022734 74770038 105034101 210068202 245079569 315102303 490159138 630204606 735238707 1470477414 2205716121 4411432242