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12140404411424 = 251649323002949
BaseRepresentation
bin1011000010101010100001…
…1111100000110000100000
31120222121111122202012201112
42300222220133200300200
53042402022012131144
641453120315522452
72362054352555612
oct260525037406040
946877448665645
1012140404411424
113960797877263
121440a84a59428
136a0ab1ca9083
142dd854bdcdb2
15160bee3c799e
hexb0aa87e0c20

12140404411424 has 24 divisors (see below), whose sum is σ = 23902871409900. Its totient is φ = 6069833894656.

The previous prime is 12140404411423. The next prime is 12140404411451. The reversal of 12140404411424 is 42411440404121.

It can be written as a sum of positive squares in 2 ways, for example, as 11704144161424 + 436260250000 = 3421132^2 + 660500^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12140404411423) 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 3 ways as a sum of consecutive naturals, for example, 10973699 + ... + 12029250.

Almost surely, 212140404411424 is an apocalyptic number.

It is an amenable number.

12140404411424 is a deficient number, since it is larger than the sum of its proper divisors (11762466998476).

12140404411424 is a wasteful number, since it uses less digits than its factorization.

12140404411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23019452 (or 23019444 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 12140404411424 its reverse (42411440404121), we get a palindrome (54551844815545).

The spelling of 12140404411424 in words is "twelve trillion, one hundred forty billion, four hundred four million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 16493 32986 65972 131944 263888 527776 23002949 46005898 92011796 184023592 368047184 736094368 379387637857 758775275714 1517550551428 3035101102856 6070202205712 12140404411424