Search a number
-
+
41314224252 = 223711327116061
BaseRepresentation
bin100110011110100001…
…010000100001111100
310221122021000001020210
4212132201100201330
51134102420134002
630551323112420
72661543053250
oct463641204174
9127567001223
1041314224252
1116580891194
128010072710
133b8542aa52
141ddcd52260
15111c08696c
hex99e85087c

41314224252 has 96 divisors (see below), whose sum is σ = 111563311104. Its totient is φ = 11655705600.

The previous prime is 41314224247. The next prime is 41314224269. The reversal of 41314224252 is 25242241314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564302 + ... + 2580362.

It is an arithmetic number, because the mean of its divisors is an integer number (1162117824).

Almost surely, 241314224252 is an apocalyptic number.

41314224252 is a gapful number since it is divisible by the number (42) 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 41314224252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55781655552).

41314224252 is an abundant number, since it is smaller than the sum of its proper divisors (70249086852).

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

41314224252 is a wasteful number, since it uses less digits than its factorization.

41314224252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16459 (or 16457 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 41314224252 its reverse (25242241314), we get a palindrome (66556465566).

The spelling of 41314224252 in words is "forty-one billion, three hundred fourteen million, two hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 271 339 452 542 678 791 813 1084 1356 1582 1626 1897 2373 3164 3252 3794 4746 5691 7588 9492 11382 16061 22764 30623 32122 48183 61246 64244 91869 96366 112427 122492 183738 192732 214361 224854 337281 367476 428722 449708 643083 674562 857444 1286166 1349124 1814893 2572332 3629786 4352531 5444679 7259572 8705062 10889358 12704251 13057593 17410124 21778716 25408502 26115186 30467717 38112753 50817004 52230372 60935434 76225506 91403151 121870868 152451012 182806302 365612604 491836003 983672006 1475508009 1967344012 2951016018 3442852021 5902032036 6885704042 10328556063 13771408084 20657112126 41314224252