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13241314404 = 2233128395561
BaseRepresentation
bin11000101010011111…
…00110110001100100
31021011210212110121000
430111033212301210
5204104234030104
610025531153300
7646063213113
oct142517466144
937153773530
1013241314404
11568541654a
1226965a5830
131330392ba6
148d8823c7a
1552771c639
hex3153e6c64

13241314404 has 48 divisors (see below), whose sum is σ = 34356450240. Its totient is φ = 4410285120.

The previous prime is 13241314397. The next prime is 13241314409. The reversal of 13241314404 is 40441314231.

13241314404 is a `hidden beast` number, since 1 + 3 + 241 + 3 + 14 + 404 = 666.

13241314404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13241314409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90784 + ... + 186344.

It is an arithmetic number, because the mean of its divisors is an integer number (715759380).

Almost surely, 213241314404 is an apocalyptic number.

It is an amenable number.

13241314404 is an abundant number, since it is smaller than the sum of its proper divisors (21115135836).

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

13241314404 is a wasteful number, since it uses less digits than its factorization.

13241314404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96857 (or 96849 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13241314404 its reverse (40441314231), we get a palindrome (53682628635).

It can be divided in two parts, 13241 and 314404, that added together give a triangular number (327645 = T809).

The spelling of 13241314404 in words is "thirteen billion, two hundred forty-one million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1283 2566 3849 5132 7698 11547 15396 23094 34641 46188 69282 95561 138564 191122 286683 382244 573366 860049 1146732 1720098 2580147 3440196 5160294 10320588 122604763 245209526 367814289 490419052 735628578 1103442867 1471257156 2206885734 3310328601 4413771468 6620657202 13241314404