Search a number
-
+
13441012040 = 2356715593217
BaseRepresentation
bin11001000010010010…
…11001000101001000
31021200201122011020202
430201021121011020
5210011344341130
610101423311332
7654036501011
oct144111310510
937621564222
1013441012040
115778112315
12273144b548
131362872681
14917168008
1553a017145
hex321259148

13441012040 has 64 divisors (see below), whose sum is σ = 30722889600. Its totient is φ = 5291117568.

The previous prime is 13441012031. The next prime is 13441012043. The reversal of 13441012040 is 4021014431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13441012043) 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, 4176512 + ... + 4179728.

It is an arithmetic number, because the mean of its divisors is an integer number (480045150).

Almost surely, 213441012040 is an apocalyptic number.

13441012040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13441012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361444800).

13441012040 is an abundant number, since it is smaller than the sum of its proper divisors (17281877560).

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

13441012040 is a wasteful number, since it uses less digits than its factorization.

13441012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13441012040 its reverse (4021014431), we get a palindrome (17462026471).

The spelling of 13441012040 in words is "thirteen billion, four hundred forty-one million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 1559 2680 3118 3217 6236 6434 7795 12472 12868 15590 16085 25736 31180 32170 62360 64340 104453 128680 208906 215539 417812 431078 522265 835624 862156 1044530 1077695 1724312 2089060 2155390 4178120 4310780 5015303 8621560 10030606 20061212 25076515 40122424 50153030 100306060 200612120 336025301 672050602 1344101204 1680126505 2688202408 3360253010 6720506020 13441012040