Search a number
-
+
13141333332 = 22321492449913
BaseRepresentation
bin11000011110100100…
…01101010101010100
31020220211201220100100
430033102031111110
5203403140131312
610012000214100
7643440330111
oct141722152524
936824656310
1013141333332
115633a38266
12266900a330
131315757baa
148c9439908
1551da6d5dc
hex30f48d554

13141333332 has 36 divisors (see below), whose sum is σ = 33441326100. Its totient is φ = 4351043712.

The previous prime is 13141333313. The next prime is 13141333343. The reversal of 13141333332 is 23333314131.

13141333332 is a `hidden beast` number, since 1 + 314 + 13 + 3 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7156144836 + 5985188496 = 84594^2 + 77364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13141333296 and 13141333305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1219593 + ... + 1230320.

It is an arithmetic number, because the mean of its divisors is an integer number (928925725).

Almost surely, 213141333332 is an apocalyptic number.

13141333332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13141333332 is an abundant number, since it is smaller than the sum of its proper divisors (20299992768).

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

13141333332 is a wasteful number, since it uses less digits than its factorization.

13141333332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450072 (or 2450067 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 13141333332 its reverse (23333314131), we get a palindrome (36474647463).

The spelling of 13141333332 in words is "thirteen billion, one hundred forty-one million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 2449913 4899826 7349739 9799652 14699478 22049217 29398956 44098434 88196868 365037037 730074074 1095111111 1460148148 2190222222 3285333333 4380444444 6570666666 13141333332