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4241355040 = 255132039113
BaseRepresentation
bin1111110011001101…
…1111000100100000
3101221120212011022201
43330303133010200
532141241330130
61540510542544
7210050631406
oct37463370440
911846764281
104241355040
1118871528aa
129a4507a54
13527928250
142c341d476
1519c54cbca
hexfccdf120

4241355040 has 48 divisors (see below), whose sum is σ = 10790991288. Its totient is φ = 1566038016.

The previous prime is 4241355031. The next prime is 4241355049. The reversal of 4241355040 is 405531424.

It is an interprime number because it is at equal distance from previous prime (4241355031) and next prime (4241355049).

It can be written as a sum of positive squares in 4 ways, for example, as 3548823184 + 692531856 = 59572^2 + 26316^2 .

It is not an unprimeable number, because it can be changed into a prime (4241355049) 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 7 ways as a sum of consecutive naturals, for example, 1017477 + ... + 1021636.

Almost surely, 24241355040 is an apocalyptic number.

4241355040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4241355040 is an abundant number, since it is smaller than the sum of its proper divisors (6549636248).

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

4241355040 is a wasteful number, since it uses less digits than its factorization.

4241355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039141 (or 2039133 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 4241355040 is about 65125.6864839059. The cubic root of 4241355040 is about 1618.7068682773.

Adding to 4241355040 its reverse (405531424), we get a palindrome (4646886464).

The spelling of 4241355040 in words is "four billion, two hundred forty-one million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2039113 4078226 8156452 10195565 16312904 20391130 26508469 32625808 40782260 53016938 65251616 81564520 106033876 132542345 163129040 212067752 265084690 326258080 424135504 530169380 848271008 1060338760 2120677520 4241355040