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11400662141 = 117996713567
BaseRepresentation
bin10101001111000100…
…00100110001111101
31002102112100122100222
422213202010301331
5141322032142031
65123135431125
7552343013021
oct124742046175
932375318328
1011400662141
114920416230
1222620854a5
1310c8c3b43b
147a21a8381
1546ad33e7b
hex2a7884c7d

11400662141 has 16 divisors (see below), whose sum is σ = 12608471040. Its totient is φ = 10221709680.

The previous prime is 11400662137. The next prime is 11400662159. The reversal of 11400662141 is 14126600411.

11400662141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11400662141 - 22 = 11400662137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11400662141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400662191) 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 15 ways as a sum of consecutive naturals, for example, 833540 + ... + 847106.

It is an arithmetic number, because the mean of its divisors is an integer number (788029440).

Almost surely, 211400662141 is an apocalyptic number.

11400662141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11400662141 is a deficient number, since it is larger than the sum of its proper divisors (1207808899).

11400662141 is a wasteful number, since it uses less digits than its factorization.

11400662141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 11400662141 in words is "eleven billion, four hundred million, six hundred sixty-two thousand, one hundred forty-one".

Divisors: 1 11 79 869 967 10637 13567 76393 149237 840323 1071793 11789723 13119289 144312179 1036423831 11400662141