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4240440424 = 2311178533323
BaseRepresentation
bin1111110010111111…
…1111110001101000
3101221112010200201001
43330233333301220
532141023043144
61540435204344
7210040102033
oct37457776150
911845120631
104240440424
111886688720
129a41466b4
13527697b5c
142c326201a
1519c41bbd4
hexfcbffc68

4240440424 has 64 divisors (see below), whose sum is σ = 9197375040. Its totient is φ = 1811420160.

The previous prime is 4240440409. The next prime is 4240440427.

4240440424 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4240440392 and 4240440401.

It is not an unprimeable number, because it can be changed into a prime (4240440427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274427 + ... + 1277749.

It is an arithmetic number, because the mean of its divisors is an integer number (143708985).

Almost surely, 24240440424 is an apocalyptic number.

4240440424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598687520).

4240440424 is an abundant number, since it is smaller than the sum of its proper divisors (4956934616).

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

4240440424 is a wasteful number, since it uses less digits than its factorization.

4240440424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4240440424 is about 65118.6641754881. The cubic root of 4240440424 is about 1618.5905059655.

It can be divided in two parts, 42404 and 40424, that added together give a palindrome (82828).

The spelling of 4240440424 in words is "four billion, two hundred forty million, four hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 853 1496 1706 3323 3412 6646 6824 9383 13292 14501 18766 26584 29002 36553 37532 56491 58004 73106 75064 112982 116008 146212 159511 225964 292424 319022 451928 621401 638044 1242802 1276088 2485604 2834519 4971208 5669038 11338076 22676152 31179709 48186823 62359418 96373646 124718836 192747292 249437672 385494584 530055053 1060110106 2120220212 4240440424