Search a number
-
+
13113411344 = 24114711314029
BaseRepresentation
bin11000011011001111…
…01100011100010000
31020211220012022120122
430031213230130100
5203324013130334
610005121525412
7642651104645
oct141547543420
936756168518
1013113411344
11561a1a7040
12265b7a3868
13130ca2c9c7
148c584bdcc
1551b3a532e
hex30d9ec710

13113411344 has 80 divisors (see below), whose sum is σ = 28559243520. Its totient is φ = 5781780480.

The previous prime is 13113411287. The next prime is 13113411403. The reversal of 13113411344 is 44311431131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927722 + ... + 941750.

It is an arithmetic number, because the mean of its divisors is an integer number (356990544).

Almost surely, 213113411344 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 13113411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279621760).

13113411344 is an abundant number, since it is smaller than the sum of its proper divisors (15445832176).

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

13113411344 is a wasteful number, since it uses less digits than its factorization.

13113411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14208 (or 14202 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 13113411344 its reverse (44311431131), we get a palindrome (57424842475).

The spelling of 13113411344 in words is "thirteen billion, one hundred thirteen million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 113 176 188 226 376 452 517 752 904 1034 1243 1808 2068 2486 4136 4972 5311 8272 9944 10622 14029 19888 21244 28058 42488 56116 58421 84976 112232 116842 154319 224464 233684 308638 467368 617276 659363 934736 1234552 1318726 1585277 2469104 2637452 3170554 5274904 6341108 7252993 10549808 12682216 14505986 17438047 25364432 29011972 34876094 58023944 69752188 74508019 116047888 139504376 149016038 279008752 298032076 596064152 819588209 1192128304 1639176418 3278352836 6556705672 13113411344