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2414041420 = 2257157109829
BaseRepresentation
bin1000111111100011…
…0101100101001100
320020020110000021111
42033320311211030
514420443311140
61035313141404
7113552004430
oct21770654514
96206400244
102414041420
11102973305a
1257455a864
132c6193b9b
1418c8769c0
15e1deb7ea
hex8fe3594c

2414041420 has 48 divisors (see below), whose sum is σ = 5830655040. Its totient is φ = 822392064.

The previous prime is 2414041417. The next prime is 2414041433. The reversal of 2414041420 is 241404142.

It is a junction number, because it is equal to n+sod(n) for n = 2414041391 and 2414041400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32935 + ... + 76894.

It is an arithmetic number, because the mean of its divisors is an integer number (121471980).

Almost surely, 22414041420 is an apocalyptic number.

2414041420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414041420 is an abundant number, since it is smaller than the sum of its proper divisors (3416613620).

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

2414041420 is a wasteful number, since it uses less digits than its factorization.

2414041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110002 (or 110000 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2414041420 is about 49132.8954978230. The cubic root of 2414041420 is about 1341.4718771429.

Adding to 2414041420 its reverse (241404142), we get a palindrome (2655445562).

The spelling of 2414041420 in words is "two billion, four hundred fourteen million, forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1570 2198 3140 4396 5495 10990 21980 109829 219658 439316 549145 768803 1098290 1537606 2196580 3075212 3844015 7688030 15376060 17243153 34486306 68972612 86215765 120702071 172431530 241404142 344863060 482808284 603510355 1207020710 2414041420