Search a number
-
+
5103041424 = 2431335323167
BaseRepresentation
bin1001100000010101…
…00011101110010000
3111011122021100211020
410300022203232100
540422334311144
62202211515440
7240313064535
oct46012435620
914148240736
105103041424
112189596608
12ba4bb8b80
136342c8850
14365a44d8c
151ed00c419
hex1302a3b90

5103041424 has 80 divisors (see below), whose sum is σ = 14237755392. Its totient is φ = 1565650944.

The previous prime is 5103041423. The next prime is 5103041429. The reversal of 5103041424 is 4241403015.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5103041394 and 5103041403.

It is not an unprimeable number, because it can be changed into a prime (5103041423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208689 + ... + 231855.

Almost surely, 25103041424 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 5103041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118877696).

5103041424 is an abundant number, since it is smaller than the sum of its proper divisors (9134713968).

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

5103041424 is a wasteful number, since it uses less digits than its factorization.

5103041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23544 (or 23538 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5103041424 is about 71435.5753389024. The cubic root of 5103041424 is about 1721.6427229929.

Adding to 5103041424 its reverse (4241403015), we get a palindrome (9344444439).

The spelling of 5103041424 in words is "five billion, one hundred three million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 353 624 706 1059 1412 2118 2824 4236 4589 5648 8472 9178 13767 16944 18356 23167 27534 36712 46334 55068 69501 73424 92668 110136 139002 185336 220272 278004 301171 370672 556008 602342 903513 1112016 1204684 1807026 2409368 3614052 4818736 7228104 8177951 14456208 16355902 24533853 32711804 49067706 65423608 98135412 106313363 130847216 196270824 212626726 318940089 392541648 425253452 637880178 850506904 1275760356 1701013808 2551520712 5103041424