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1054155141 = 3613412713
BaseRepresentation
bin111110110101010…
…010000110000101
32201110120122000000
4332311102012011
54124330431031
6252334111513
735060112414
oct7665220605
92643518000
101054155141
114a10523a6
1225504b599
1313a51b950
14a000747b
156282c3e6
hex3ed52185

1054155141 has 56 divisors (see below), whose sum is σ = 1744244376. Its totient is φ = 632655360.

The previous prime is 1054155101. The next prime is 1054155161. The reversal of 1054155141 is 1415514501.

1054155141 is a `hidden beast` number, since 105 + 4 + 1 + 551 + 4 + 1 = 666.

1054155141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 64738116 + 989417025 = 8046^2 + 31455^2 .

It is not a de Polignac number, because 1054155141 - 215 = 1054122373 is a prime.

It is a super-2 number, since 2×10541551412 = 2222486122593459762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054155101) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 387201 + ... + 389913.

It is an arithmetic number, because the mean of its divisors is an integer number (31147221).

Almost surely, 21054155141 is an apocalyptic number.

It is an amenable number.

1054155141 is a deficient number, since it is larger than the sum of its proper divisors (690089235).

1054155141 is an equidigital number, since it uses as much as digits as its factorization.

1054155141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 1054155141 is about 32467.7554044008. The cubic root of 1054155141 is about 1017.7353128486.

Adding to 1054155141 its reverse (1415514501), we get a palindrome (2469669642).

The spelling of 1054155141 in words is "one billion, fifty-four million, one hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 41 81 117 123 243 351 369 533 729 1053 1107 1599 2713 3159 3321 4797 8139 9477 9963 14391 24417 29889 35269 43173 73251 105807 111233 129519 219753 317421 333699 388557 659259 952263 1001097 1446029 1977777 2856789 3003291 4338087 8570367 9009873 13014261 25711101 27029619 39042783 81088857 117128349 351385047 1054155141