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13134414041 = 729127673757
BaseRepresentation
bin11000011101101111…
…10100000011011001
31020220100201100212022
430032313310003121
5203344402222131
610011152024225
7643324451210
oct141667640331
936810640768
1013134414041
115630041741
122666832075
1313141a4638
148c8558077
1551d15337b
hex30edf40d9

13134414041 has 32 divisors (see below), whose sum is σ = 15694602240. Its totient is φ = 10754021376.

The previous prime is 13134414023. The next prime is 13134414053. The reversal of 13134414041 is 14041443131.

It is a happy number.

It is not a de Polignac number, because 13134414041 - 26 = 13134413977 is a prime.

It is a super-3 number, since 3×131344140413 (a number of 31 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 13134414041.

It is not an unprimeable number, because it can be changed into a prime (13134414011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17350235 + ... + 17350991.

It is an arithmetic number, because the mean of its divisors is an integer number (490456320).

Almost surely, 213134414041 is an apocalyptic number.

It is an amenable number.

13134414041 is a deficient number, since it is larger than the sum of its proper divisors (2560188199).

13134414041 is a wasteful number, since it uses less digits than its factorization.

13134414041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13134414041 its reverse (14041443131), we get a palindrome (27175857172).

The spelling of 13134414041 in words is "thirteen billion, one hundred thirty-four million, four hundred fourteen thousand, forty-one".

Divisors: 1 7 29 127 203 673 757 889 3683 4711 5299 19517 21953 25781 85471 96139 136619 153671 509461 598297 672973 2478659 2788031 3566227 14774369 17350613 19516217 64701547 103420583 452910829 1876344863 13134414041