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13140400705 = 537611164413
BaseRepresentation
bin11000011110011101…
…01001101001000001
31020220202222112000121
430033032221221001
5203402420310310
610011524220241
7643426364065
oct141716515101
936822875017
1013140400705
1156334605a3
12266883a681
1313154bc543
148c9275aa5
1551d9370da
hex30f3a9a41

13140400705 has 16 divisors (see below), whose sum is σ = 16460156304. Its totient is φ = 10060519680.

The previous prime is 13140400607. The next prime is 13140400729. The reversal of 13140400705 is 50700404131.

It can be written as a sum of positive squares in 8 ways, for example, as 222487056 + 12917913649 = 14916^2 + 113657^2 .

It is not a de Polignac number, because 13140400705 - 29 = 13140400193 is a prime.

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 13140400705.

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, 570922 + ... + 593491.

It is an arithmetic number, because the mean of its divisors is an integer number (1028759769).

Almost surely, 213140400705 is an apocalyptic number.

It is an amenable number.

13140400705 is a deficient number, since it is larger than the sum of its proper divisors (3319755599).

13140400705 is a wasteful number, since it uses less digits than its factorization.

13140400705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164516.

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 13140400705 its reverse (50700404131), we get a palindrome (63840804836).

The spelling of 13140400705 in words is "thirteen billion, one hundred forty million, four hundred thousand, seven hundred five".

Divisors: 1 5 37 61 185 305 2257 11285 1164413 5822065 43083281 71029193 215416405 355145965 2628080141 13140400705