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1051435066041 = 33443267132911
BaseRepresentation
bin11110100110011100110…
…10011110001010111001
310201111221022120111122000
433103032122132022321
5114211314334103131
62123004514251213
7135651353412543
oct17231632361271
93644838514560
101051435066041
11375a02758338
1214b937586b09
13781c4443b69
1438c655b6693
151c53c0cace6
hexf4ce69e2b9

1051435066041 has 32 divisors (see below), whose sum is σ = 1561829744640. Its totient is φ = 699091333200.

The previous prime is 1051435066037. The next prime is 1051435066051. The reversal of 1051435066041 is 1406605341501.

1051435066041 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 43 + 5 + 0 + 6 + 604 + 1 = 666.

It is not a de Polignac number, because 1051435066041 - 22 = 1051435066037 is a prime.

It is a super-2 number, since 2×10514350660412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051435065987 and 1051435066005.

It is not an unprimeable number, because it can be changed into a prime (1051435066051) 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 31 ways as a sum of consecutive naturals, for example, 31931376 + ... + 31964286.

It is an arithmetic number, because the mean of its divisors is an integer number (48807179520).

Almost surely, 21051435066041 is an apocalyptic number.

It is an amenable number.

1051435066041 is a deficient number, since it is larger than the sum of its proper divisors (510394678599).

1051435066041 is a wasteful number, since it uses less digits than its factorization.

1051435066041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36034 (or 36028 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1051435066041 in words is "one trillion, fifty-one billion, four hundred thirty-five million, sixty-six thousand, forty-one".

Divisors: 1 3 9 27 443 1329 2671 3987 8013 11961 24039 32911 72117 98733 296199 888597 1183253 3549759 10649277 14579573 31947831 43738719 87905281 131216157 263715843 393648471 791147529 2373442587 38942039483 116826118449 350478355347 1051435066041