Search a number
-
+
13440176024 = 2311475695711
BaseRepresentation
bin11001000010001100…
…01100111110011000
31021200200001200110012
430201012030332120
5210011141113044
610101353341052
7654026416442
oct144106147630
937620050405
1013440176024
1157776a11a0
122731107788
13136263bca2
14916dcb492
15539dee59e
hex32118cf98

13440176024 has 64 divisors (see below), whose sum is σ = 28130457600. Its totient is φ = 5967635200.

The previous prime is 13440176023. The next prime is 13440176033. The reversal of 13440176024 is 42067104431.

It is a super-2 number, since 2×134401760242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440176023) 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, 2350529 + ... + 2356239.

It is an arithmetic number, because the mean of its divisors is an integer number (439538400).

Almost surely, 213440176024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440176024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

13440176024 is an abundant number, since it is smaller than the sum of its proper divisors (14690281576).

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

13440176024 is a wasteful number, since it uses less digits than its factorization.

13440176024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 13440176024 in words is "thirteen billion, four hundred forty million, one hundred seventy-six thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 569 1034 1138 2068 2276 4136 4552 5711 6259 11422 12518 22844 25036 26743 45688 50072 53486 62821 106972 125642 213944 251284 268417 294173 502568 536834 588346 1073668 1176692 2147336 2353384 2952587 3249559 5905174 6499118 11810348 12998236 23620696 25996472 35745149 71490298 142980596 152729273 285961192 305458546 610917092 1221834184 1680022003 3360044006 6720088012 13440176024