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2430412413 = 3112133531459
BaseRepresentation
bin1001000011011101…
…0010011001111101
320021101020202001120
42100313102121331
514434141144123
61041100101153
7114141110322
oct22067223175
96241222046
102430412413
1110379a4900
12579b347b9
132c96a6570
14190ad8b49
15e35822e3
hex90dd267d

2430412413 has 48 divisors (see below), whose sum is σ = 3849424320. Its totient is φ = 1354890240.

The previous prime is 2430412399. The next prime is 2430412487. The reversal of 2430412413 is 3142140342.

It is not a de Polignac number, because 2430412413 - 25 = 2430412381 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430412013) 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 47 ways as a sum of consecutive naturals, for example, 1665078 + ... + 1666536.

It is an arithmetic number, because the mean of its divisors is an integer number (80196340).

Almost surely, 22430412413 is an apocalyptic number.

It is an amenable number.

2430412413 is a deficient number, since it is larger than the sum of its proper divisors (1419011907).

2430412413 is a wasteful number, since it uses less digits than its factorization.

2430412413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2430412413 is about 49299.2131073103. The cubic root of 2430412413 is about 1344.4974768490.

Adding to 2430412413 its reverse (3142140342), we get a palindrome (5572552755).

The spelling of 2430412413 in words is "two billion, four hundred thirty million, four hundred twelve thousand, four hundred thirteen".

Divisors: 1 3 11 13 33 39 121 143 353 363 429 1059 1459 1573 3883 4377 4589 4719 11649 13767 16049 18967 42713 48147 50479 56901 128139 151437 176539 208637 515027 529617 555269 625911 1545081 1665807 2295007 5665297 6695351 6885021 16995891 20086053 62318267 73648861 186954801 220946583 810137471 2430412413