Search a number
-
+
424052302440 = 233513597164891
BaseRepresentation
bin1100010101110110111…
…11001010001001101000
31111112112221012221011010
412022323133022021220
523421424342134230
6522450144303520
742431261045514
oct6127337121150
91445487187133
10424052302440
111539265191a8
126a226311ba0
1330cac71aa70
141674a735144
15b06d2bb9b0
hex62bb7ca268

424052302440 has 256 divisors, whose sum is σ = 1412880537600. Its totient is φ = 101166105600.

The previous prime is 424052302439. The next prime is 424052302537. The reversal of 424052302440 is 44203250424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 424052302398 and 424052302407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6502395 + ... + 6567285.

It is an arithmetic number, because the mean of its divisors is an integer number (5519064600).

Almost surely, 2424052302440 is an apocalyptic number.

424052302440 is a gapful number since it is divisible by the number (40) 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 424052302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706440268800).

424052302440 is an abundant number, since it is smaller than the sum of its proper divisors (988828235160).

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

424052302440 is a wasteful number, since it uses less digits than its factorization.

424052302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65048 (or 65044 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 424052302440 its reverse (44203250424), we get a palindrome (468255552864).

The spelling of 424052302440 in words is "four hundred twenty-four billion, fifty-two million, three hundred two thousand, four hundred forty".