Search a number
-
+
424285919904 = 253711122946703
BaseRepresentation
bin1100010110010010110…
…10010101101010100000
31111120011012210221001210
412023021122111222200
523422414143414104
6522525251430120
742440125546140
oct6131132255240
91446135727053
10424285919904
11153a36382490
126a2905b5340
1331018c45752
141676d788920
15b083a66989
hex62c9695aa0

424285919904 has 192 divisors, whose sum is σ = 1389731696640. Its totient is φ = 110112107520.

The previous prime is 424285919867. The next prime is 424285919951. The reversal of 424285919904 is 409919582424.

It is a super-3 number, since 3×4242859199043 (a number of 36 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9061417 + ... + 9108119.

It is an arithmetic number, because the mean of its divisors is an integer number (7238185920).

Almost surely, 2424285919904 is an apocalyptic number.

424285919904 is a gapful number since it is divisible by the number (44) 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 424285919904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694865848320).

424285919904 is an abundant number, since it is smaller than the sum of its proper divisors (965445776736).

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

424285919904 is a wasteful number, since it uses less digits than its factorization.

424285919904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47963 (or 47955 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 424285919904 in words is "four hundred twenty-four billion, two hundred eighty-five million, nine hundred nineteen thousand, nine hundred four".