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1054524141 = 321141614259
BaseRepresentation
bin111110110110101…
…100001011101101
32201111021101011200
4332312230023231
54124424233031
6252350040113
735063210256
oct7666541355
92644241150
101054524141
114a1284660
122551a9039
1313a61a8a8
14a00a1b2d
15628a18e6
hex3edac2ed

1054524141 has 48 divisors (see below), whose sum is σ = 1730514240. Its totient is φ = 613152000.

The previous prime is 1054524139. The next prime is 1054524167. The reversal of 1054524141 is 1414254501.

It is not a de Polignac number, because 1054524141 - 21 = 1054524139 is a prime.

It is a super-2 number, since 2×10545241412 = 2224042327903575762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054524181) 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 47 ways as a sum of consecutive naturals, for example, 245470 + ... + 249728.

It is an arithmetic number, because the mean of its divisors is an integer number (36052380).

Almost surely, 21054524141 is an apocalyptic number.

1054524141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1054524141 is a deficient number, since it is larger than the sum of its proper divisors (675990099).

1054524141 is a wasteful number, since it uses less digits than its factorization.

1054524141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1054524141 is about 32473.4374681831. The cubic root of 1054524141 is about 1017.8540494891.

Adding to 1054524141 its reverse (1414254501), we get a palindrome (2468778642).

The spelling of 1054524141 in words is "one billion, fifty-four million, five hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 41 61 99 123 183 369 451 549 671 1353 2013 2501 4059 4259 6039 7503 12777 22509 27511 38331 46849 82533 140547 174619 247599 259799 421641 523857 779397 1571571 1920809 2338191 2857789 5762427 8573367 10651759 17287281 25720101 31955277 95865831 117169349 351508047 1054524141