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4123430444 = 22717101199431
BaseRepresentation
bin1111010111000110…
…1000111000101100
3101122100221222012002
43311301220320230
531421044233234
61521055231432
7204116403050
oct36561507054
911570858162
104123430444
111826629361
12970b18578
13509379b93
142b18c3c60
1519200727e
hexf5c68e2c

4123430444 has 96 divisors (see below), whose sum is σ = 8883302400. Its totient is φ = 1634688000.

The previous prime is 4123430429. The next prime is 4123430447. The reversal of 4123430444 is 4440343214.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4123430447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9566909 + ... + 9567339.

It is an arithmetic number, because the mean of its divisors is an integer number (92534400).

Almost surely, 24123430444 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 4123430444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441651200).

4123430444 is an abundant number, since it is smaller than the sum of its proper divisors (4759871956).

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

4123430444 is a wasteful number, since it uses less digits than its factorization.

4123430444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 4123430444 is about 64213.9427538911. The cubic root of 4123430444 is about 1603.5637289003.

Adding to 4123430444 its reverse (4440343214), we get a palindrome (8563773658).

The spelling of 4123430444 in words is "four billion, one hundred twenty-three million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 101 119 199 202 238 398 404 431 476 707 796 862 1393 1414 1717 1724 2786 2828 3017 3383 3434 5572 6034 6766 6868 7327 12019 12068 13532 14654 20099 23681 24038 29308 40198 43531 47362 48076 51289 80396 85769 87062 94724 102578 140693 171538 174124 205156 281386 304717 341683 343076 562772 600383 609434 683366 740027 1200766 1218868 1366732 1458073 1480054 2391781 2401532 2916146 2960108 4783562 5180189 5832292 8662669 9567124 10206511 10360378 17325338 20413022 20720756 34650676 40826044 60638683 121277366 147265373 242554732 294530746 589061492 1030857611 2061715222 4123430444