Search a number
-
+
13442441310 = 2325236493933
BaseRepresentation
bin11001000010011101…
…10110000001011110
31021200211022202211200
430201032312001132
5210012231110220
610101514100330
7654054602664
oct144116660136
937624282750
1013442441310
1157789a9131
122731a1a6a6
131362c530ac
1491741ac34
1553a1ea890
hex3213b605e

13442441310 has 48 divisors (see below), whose sum is σ = 36469933344. Its totient is φ = 3428796096.

The previous prime is 13442441279. The next prime is 13442441339. The reversal of 13442441310 is 1314424431.

13442441310 is a `hidden beast` number, since 1 + 344 + 2 + 4 + 4 + 1 + 310 = 666.

It is a super-2 number, since 2×134424413102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3244897 + ... + 3249036.

It is an arithmetic number, because the mean of its divisors is an integer number (759790278).

Almost surely, 213442441310 is an apocalyptic number.

13442441310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13442441310 is an abundant number, since it is smaller than the sum of its proper divisors (23027492034).

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

13442441310 is a wasteful number, since it uses less digits than its factorization.

13442441310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493969 (or 6493966 counting only the distinct ones).

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

Adding to 13442441310 its reverse (1314424431), we get a palindrome (14756865741).

The spelling of 13442441310 in words is "thirteen billion, four hundred forty-two million, four hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 6493933 12987866 19481799 32469665 38963598 58445397 64939330 97408995 116890794 149360459 194817990 292226985 298720918 448081377 584453970 746802295 896162754 1344244131 1493604590 2240406885 2688488262 4480813770 6721220655 13442441310