Search a number
-
+
5141348244 = 22321973102967
BaseRepresentation
bin1001100100111001…
…01011111110010100
3111021022100112220100
410302130223332110
541012141120434
62210100534100
7241256511324
oct46234537624
914238315810
105141348244
1121a918003a
12bb59b1330
1363c21b7c6
1436ab77284
15201577699
hex13272bf94

5141348244 has 72 divisors (see below), whose sum is σ = 13867730240. Its totient is φ = 1601327232.

The previous prime is 5141348213. The next prime is 5141348249. The reversal of 5141348244 is 4428431415.

5141348244 is a `hidden beast` number, since 514 + 134 + 8 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5141348199 and 5141348208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141348249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552 + ... + 101415.

Almost surely, 25141348244 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 5141348244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933865120).

5141348244 is an abundant number, since it is smaller than the sum of its proper divisors (8726381996).

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

5141348244 is a wasteful number, since it uses less digits than its factorization.

5141348244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103069 (or 103064 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 5141348244 is about 71703.1954936459. The cubic root of 5141348244 is about 1725.9399197726.

Adding to 5141348244 its reverse (4428431415), we get a palindrome (9569779659).

The spelling of 5141348244 in words is "five billion, one hundred forty-one million, three hundred forty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 73 76 114 146 171 219 228 292 342 438 657 684 876 1314 1387 2628 2774 4161 5548 8322 12483 16644 24966 49932 102967 205934 308901 411868 617802 926703 1235604 1853406 1956373 3706812 3912746 5869119 7516591 7825492 11738238 15033182 17607357 22549773 23476476 30066364 35214714 45099546 67649319 70429428 90199092 135298638 142815229 270597276 285630458 428445687 571260916 856891374 1285337061 1713782748 2570674122 5141348244