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1140323344241 = 295310166111113
BaseRepresentation
bin10000100110000000100…
…100010101111101110001
311001000101002112220010212
4100212000210111331301
5122140340234003431
62231505102433505
7145246163332634
oct20460044257561
94030332486125
101140323344241
113aa676888384
12165003b92895
13836bbb3cc93
143d2989a3c1b
151e9e0a5872b
hex10980915f71

1140323344241 has 32 divisors (see below), whose sum is σ = 1215748012320. Its totient is φ = 1067818752000.

The previous prime is 1140323344133. The next prime is 1140323344247. The reversal of 1140323344241 is 1424433230411.

It can be written as a sum of positive squares in 16 ways, for example, as 34597488016 + 1105725856225 = 186004^2 + 1051535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1140323344241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1140323344198 and 1140323344207.

It is not an unprimeable number, because it can be changed into a prime (1140323344247) 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 31 ways as a sum of consecutive naturals, for example, 102606101 + ... + 102617213.

It is an arithmetic number, because the mean of its divisors is an integer number (37992125385).

Almost surely, 21140323344241 is an apocalyptic number.

It is an amenable number.

1140323344241 is a deficient number, since it is larger than the sum of its proper divisors (75424668079).

1140323344241 is a wasteful number, since it uses less digits than its factorization.

1140323344241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11957.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1140323344241 its reverse (1424433230411), we get a palindrome (2564756574652).

The spelling of 1140323344241 in words is "one trillion, one hundred forty billion, three hundred twenty-three million, three hundred forty-four thousand, two hundred forty-one".

Divisors: 1 29 53 101 661 1537 2929 5353 11113 19169 35033 66761 155237 322277 588989 1015957 1122413 1936069 3538333 7345693 17080681 32549977 59487889 102611657 213025097 389321729 741914993 1725148781 11290330141 21515534797 39321494629 1140323344241