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1054014540241 = 135313911005571
BaseRepresentation
bin11110101011010000010…
…10011000100111010001
310201202121002022101000111
433111220022120213101
5114232110210241431
62124112501321321
7136102314524515
oct17255012304721
93652532271014
101054014540241
113770068034a3
12150337406241
137851597b260
143902bdd4145
151c63d7a47b1
hexf5682989d1

1054014540241 has 16 divisors (see below), whose sum is σ = 1164829740480. Its totient is φ = 947711643840.

The previous prime is 1054014540223. The next prime is 1054014540259. The reversal of 1054014540241 is 1420454104501.

It is an interprime number because it is at equal distance from previous prime (1054014540223) and next prime (1054014540259).

It is not a de Polignac number, because 1054014540241 - 29 = 1054014539729 is a prime.

It is a super-2 number, since 2×10540145402412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1054014540211) 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, 5407015 + ... + 5598556.

It is an arithmetic number, because the mean of its divisors is an integer number (72801858780).

Almost surely, 21054014540241 is an apocalyptic number.

It is an amenable number.

1054014540241 is a deficient number, since it is larger than the sum of its proper divisors (110815200239).

1054014540241 is a wasteful number, since it uses less digits than its factorization.

1054014540241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005776.

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 1054014540241 its reverse (1420454104501), we get a palindrome (2474468644742).

The spelling of 1054014540241 in words is "one trillion, fifty-four billion, fourteen million, five hundred forty thousand, two hundred forty-one".

Divisors: 1 13 53 139 689 1807 7367 95771 11005571 143072423 583295263 1529774369 7582838419 19887066797 81078041557 1054014540241