Search a number
-
+
13397409603344 = 241365539829181
BaseRepresentation
bin1100001011110101001111…
…0101110001111100010000
31202102210001111210010002102
43002331103311301330100
53224000343324301334
644254403543335532
72551634204446514
oct302752365617420
952383044703072
1013397409603344
1142a589a4a6808
1216046114515a8
137624a7736970
1434461c166144
1518376d94a67e
hexc2f53d71f10

13397409603344 has 40 divisors (see below), whose sum is σ = 27958479131352. Its totient is φ = 6182475586560.

The previous prime is 13397409603341. The next prime is 13397409603371. The reversal of 13397409603344 is 44330690479331.

It can be written as a sum of positive squares in 4 ways, for example, as 2867644201744 + 10529765401600 = 1693412^2 + 3244960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13397409603344.

It is not an unprimeable number, because it can be changed into a prime (13397409603341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3551567 + ... + 6277614.

Almost surely, 213397409603344 is an apocalyptic number.

It is an amenable number.

13397409603344 is an abundant number, since it is smaller than the sum of its proper divisors (14561069528008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13397409603344 is a wasteful number, since it uses less digits than its factorization.

13397409603344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835755 (or 9835749 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 56.

The spelling of 13397409603344 in words is "thirteen trillion, three hundred ninety-seven billion, four hundred nine million, six hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 6553 13106 26212 52424 85189 104848 170378 340756 681512 1363024 9829181 19658362 39316724 78633448 127779353 157266896 255558706 511117412 1022234824 2044469648 64410623093 128821246186 257642492372 515284984744 837338100209 1030569969488 1674676200418 3349352400836 6698704801672 13397409603344