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1041142405345 = 5752157095827
BaseRepresentation
bin11110010011010001110…
…11000101100011100001
310200112101000010011111121
433021220323011203201
5114024224423432340
62114143315012241
7135135323266450
oct17115073054341
93615330104447
101041142405345
11371600821a89
1214994459a081
1377243c283a3
143856a630b97
151c1386ad94a
hexf268ec58e1

1041142405345 has 16 divisors (see below), whose sum is σ = 1430593066368. Its totient is φ = 712555908480.

The previous prime is 1041142405339. The next prime is 1041142405423. The reversal of 1041142405345 is 5435042411401.

It is a happy number.

1041142405345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1041142405345 - 217 = 1041142274273 is a prime.

It is a super-3 number, since 3×10411424053453 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1041142405345.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28529679 + ... + 28566148.

It is an arithmetic number, because the mean of its divisors is an integer number (89412066648).

Almost surely, 21041142405345 is an apocalyptic number.

It is an amenable number.

1041142405345 is a deficient number, since it is larger than the sum of its proper divisors (389450661023).

1041142405345 is an equidigital number, since it uses as much as digits as its factorization.

1041142405345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57096360.

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 1041142405345 its reverse (5435042411401), we get a palindrome (6476184816746).

The spelling of 1041142405345 in words is "one trillion, forty-one billion, one hundred forty-two million, four hundred five thousand, three hundred forty-five".

Divisors: 1 5 7 35 521 2605 3647 18235 57095827 285479135 399670789 1998353945 29746925867 148734629335 208228481069 1041142405345