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12400240314411 = 331531299979203
BaseRepresentation
bin1011010001110010011111…
…1010110100100000101011
31121220110012001211201012000
42310130213322310200223
53111131143010030121
642212331453022043
72416613341365435
oct264344772644053
947813161751160
1012400240314411
113a50a04424a54
1214832bb484923
136bc450a5bbb1
1430c263a59655
1516785a988526
hexb4727eb482b

12400240314411 has 16 divisors (see below), whose sum is σ = 18382725621120. Its totient is φ = 8261427223080.

The previous prime is 12400240314257. The next prime is 12400240314437. The reversal of 12400240314411 is 11441304200421.

12400240314411 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 0 + 240 + 3 + 1 + 4 + 411 = 666.

It is not a de Polignac number, because 12400240314411 - 210 = 12400240313387 is a prime.

It is a super-2 number, since 2×124002403144112 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12400240314811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149948265 + ... + 150030938.

It is an arithmetic number, because the mean of its divisors is an integer number (1148920351320).

Almost surely, 212400240314411 is an apocalyptic number.

12400240314411 is a deficient number, since it is larger than the sum of its proper divisors (5982485306709).

12400240314411 is a wasteful number, since it uses less digits than its factorization.

12400240314411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299980743 (or 299980737 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12400240314411 its reverse (11441304200421), we get a palindrome (23841544514832).

The spelling of 12400240314411 in words is "twelve trillion, four hundred billion, two hundred forty million, three hundred fourteen thousand, four hundred eleven".

Divisors: 1 3 9 27 1531 4593 13779 41337 299979203 899937609 2699812827 8099438481 459268159793 1377804479379 4133413438137 12400240314411