Search a number
-
+
13824021332 = 22113141247193
BaseRepresentation
bin11001101111111100…
…11101001101010100
31022200102100001020002
430313332131031110
5211302422140312
610203424430432
7666400146122
oct146776351524
938612301202
1013824021332
115954332920
122819778418
1313c40154a4
14951d88912
1555d9714c2
hex337f9d354

13824021332 has 48 divisors (see below), whose sum is σ = 27907213824. Its totient is φ = 5932608000.

The previous prime is 13824021331. The next prime is 13824021371. The reversal of 13824021332 is 23312042831.

It is a super-2 number, since 2×138240213322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13824021295 and 13824021304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824021331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67673 + ... + 179520.

It is an arithmetic number, because the mean of its divisors is an integer number (581400288).

Almost surely, 213824021332 is an apocalyptic number.

It is an amenable number.

13824021332 is an abundant number, since it is smaller than the sum of its proper divisors (14083192492).

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

13824021332 is a wasteful number, since it uses less digits than its factorization.

13824021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247280 (or 247278 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 13824021332 in words is "thirteen billion, eight hundred twenty-four million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 31 41 44 62 82 124 164 341 451 682 902 1271 1364 1804 2542 5084 13981 27962 55924 247193 494386 988772 2719123 5438246 7662983 10134913 10876492 15325966 20269826 30651932 40539652 84292813 111484043 168585626 222968086 314182303 337171252 445936172 628364606 1256729212 3456005333 6912010666 13824021332