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1144310105431 = 174313337117373
BaseRepresentation
bin10000101001101110001…
…100101000010101010111
311001101122221100100100201
4100221232030220111113
5122222021341333211
62233404440521331
7145450033260253
oct20515614502527
94041587310321
101144310105431
1140133224a039
12165937180247
1383ba5aa787c
143d55626d263
151eb75a660c1
hex10a6e328557

1144310105431 has 16 divisors (see below), whose sum is σ = 1239903254304. Its totient is φ = 1051863450624.

The previous prime is 1144310105399. The next prime is 1144310105441. The reversal of 1144310105431 is 1345010134411.

It is a cyclic number.

It is not a de Polignac number, because 1144310105431 - 25 = 1144310105399 is a prime.

It is a super-3 number, since 3×11443101054313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1144310105431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144310105441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9690661 + ... + 9808033.

It is an arithmetic number, because the mean of its divisors is an integer number (77493953394).

Almost surely, 21144310105431 is an apocalyptic number.

1144310105431 is a deficient number, since it is larger than the sum of its proper divisors (95593148873).

1144310105431 is a wasteful number, since it uses less digits than its factorization.

1144310105431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130770.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 1144310105431 its reverse (1345010134411), we get a palindrome (2489320239842).

The spelling of 1144310105431 in words is "one trillion, one hundred forty-four billion, three hundred ten million, one hundred five thousand, four hundred thirty-one".

Divisors: 1 17 43 731 13337 117373 226729 573491 1995341 5047039 9749347 85799663 1565403701 26611862917 67312359143 1144310105431