Search a number
-
+
4124514330 = 236517231447
BaseRepresentation
bin1111010111010111…
…0001100000011010
3101122110000001000000
43311311301200122
531421333424310
61521134353430
7204131536056
oct36565614032
911573001000
104124514330
1118271a9732
1297135b876
13509669331
142b1ac6c66
1519216d4c0
hexf5d7181a

4124514330 has 224 divisors, whose sum is σ = 12306795264. Its totient is φ = 989480448.

The previous prime is 4124514263. The next prime is 4124514343. The reversal of 4124514330 is 334154214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4124514294 and 4124514303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2849667 + ... + 2851113.

Almost surely, 24124514330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124514330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153397632).

4124514330 is an abundant number, since it is smaller than the sum of its proper divisors (8182280934).

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

4124514330 is a wasteful number, since it uses less digits than its factorization.

4124514330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4124514330 is about 64222.3818462069. The cubic root of 4124514330 is about 1603.7042209842.

Adding to 4124514330 its reverse (334154214), we get a palindrome (4458668544).

The spelling of 4124514330 in words is "four billion, one hundred twenty-four million, five hundred fourteen thousand, three hundred thirty".