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12414234131140 = 2251489416864813
BaseRepresentation
bin1011010010100110101000…
…0000111111101011000100
31121221210022022200020220111
42310221222000333223010
53111343322414144030
642223004225042404
72420620203022102
oct264515200775304
947853268606814
1012414234131140
113a5693558a646
121485b65a86404
136c0870cb451a
1430cbd03a2c72
15167dc929962a
hexb4a6a03fac4

12414234131140 has 24 divisors (see below), whose sum is σ = 26087400060120. Its totient is φ = 4962358722048.

The previous prime is 12414234131113. The next prime is 12414234131207. The reversal of 12414234131140 is 4113143241421.

It can be written as a sum of positive squares in 4 ways, for example, as 280325773764 + 12133908357376 = 529458^2 + 3483376^2 .

It is a super-2 number, since 2×124142341311402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208402627 + ... + 208462186.

It is an arithmetic number, because the mean of its divisors is an integer number (1086975002505).

Almost surely, 212414234131140 is an apocalyptic number.

12414234131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414234131140 is an abundant number, since it is smaller than the sum of its proper divisors (13673165928980).

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

12414234131140 is a wasteful number, since it uses less digits than its factorization.

12414234131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416866311 (or 416866309 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 12414234131140 its reverse (4113143241421), we get a palindrome (16527377372561).

The spelling of 12414234131140 in words is "twelve trillion, four hundred fourteen billion, two hundred thirty-four million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1489 2978 5956 7445 14890 29780 416864813 833729626 1667459252 2084324065 4168648130 8337296260 620711706557 1241423413114 2482846826228 3103558532785 6207117065570 12414234131140