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1054410144501 = 373710113435913
BaseRepresentation
bin11110101011111111011…
…11011111101011110101
310201210121122201011001010
433111333233133223311
5114233412444111001
62124220032422433
7136115160230640
oct17257757375365
93653548634033
101054410144501
1137719a04686a
121504279a7a19
1378579910b0c
1439068772a57
151c66339a8d6
hexf57fbdfaf5

1054410144501 has 32 divisors (see below), whose sum is σ = 1666483285248. Its totient is φ = 580431398400.

The previous prime is 1054410144467. The next prime is 1054410144503.

1054410144501 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1054410144501 - 214 = 1054410128117 is a prime.

It is a super-2 number, since 2×10544101445012 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054410144503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6639480 + ... + 6796433.

It is an arithmetic number, because the mean of its divisors is an integer number (52077602664).

Almost surely, 21054410144501 is an apocalyptic number.

It is an amenable number.

1054410144501 is a deficient number, since it is larger than the sum of its proper divisors (612073140747).

1054410144501 is a wasteful number, since it uses less digits than its factorization.

1054410144501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13436061.

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 1054410 and 144501, that added together give a palindrome (1198911).

The spelling of 1054410144501 in words is "one trillion, fifty-four billion, four hundred ten million, one hundred forty-four thousand, five hundred one".

Divisors: 1 3 7 21 37 101 111 259 303 707 777 2121 3737 11211 26159 78477 13435913 40307739 94051391 282154173 497128781 1357027213 1491386343 3479901467 4071081639 9499190491 10439704401 28497571473 50210006881 150630020643 351470048167 1054410144501