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413411013241431 = 32912606913769243
BaseRepresentation
bin101110111111111101100000…
…0100101110010101001010111
32000012202201002022200122110220
41131333323000211302221113
5413141311223342211211
64023130221515445423
7153035650204420452
oct13577730045625127
92005681068618426
10413411013241431
1110a7a8698410007
123a4499a7a56873
131498a650426bba
1474132b238c499
1532bdb80eb6806
hex177fec0972a57

413411013241431 has 16 divisors (see below), whose sum is σ = 570222690821760. Its totient is φ = 266103359030880.

The previous prime is 413411013241427. The next prime is 413411013241483. The reversal of 413411013241431 is 134142310114314.

It is not a de Polignac number, because 413411013241431 - 22 = 413411013241427 is a prime.

It is a super-2 number, since 2×4134110132414312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413411013241392 and 413411013241401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413411013241411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107795496 + ... + 111564738.

It is an arithmetic number, because the mean of its divisors is an integer number (35638918176360).

Almost surely, 2413411013241431 is an apocalyptic number.

413411013241431 is a deficient number, since it is larger than the sum of its proper divisors (156811677580329).

413411013241431 is a wasteful number, since it uses less digits than its factorization.

413411013241431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029966.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 413411013241431 its reverse (134142310114314), we get a palindrome (547553323355745).

The spelling of 413411013241431 in words is "four hundred thirteen trillion, four hundred eleven billion, thirteen million, two hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 29 87 1260691 3769243 3782073 11307729 36560039 109308047 109680117 327924141 4751850726913 14255552180739 137803671080477 413411013241431