Search a number
-
+
103414314144 = 2532346836193
BaseRepresentation
bin110000001001111111…
…0010011010010100000
3100212221010021110202010
41200103332103102200
53143243031023034
6115301411352520
710320463111101
oct1402376232240
9325833243663
10103414314144
113a948758929
12180612b2740
1399a0ca797b
1450106b63a8
152a53d6d3e9
hex1813f934a0

103414314144 has 48 divisors (see below), whose sum is σ = 283265301312. Its totient is φ = 32972679168.

The previous prime is 103414314097. The next prime is 103414314151. The reversal of 103414314144 is 441413414301.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23415889 + ... + 23420304.

It is an arithmetic number, because the mean of its divisors is an integer number (5901360444).

Almost surely, 2103414314144 is an apocalyptic number.

It is an amenable number.

103414314144 is an abundant number, since it is smaller than the sum of its proper divisors (179850987168).

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

103414314144 is a wasteful number, since it uses less digits than its factorization.

103414314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46836229 (or 46836221 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 103414314144 its reverse (441413414301), we get a palindrome (544827728445).

The spelling of 103414314144 in words is "one hundred three billion, four hundred fourteen million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 46836193 93672386 140508579 187344772 281017158 374689544 562034316 749379088 1077232439 1124068632 1498758176 2154464878 2248137264 3231697317 4308929756 4496274528 6463394634 8617859512 12926789268 17235719024 25853578536 34471438048 51707157072 103414314144