Search a number
-
+
424092989040 = 243572418291061
BaseRepresentation
bin1100010101111011110…
…10010111011001110000
31111112122202210000200020
412022331322113121300
523422020301122130
6522454200323440
742432263633400
oct6127572273160
91445582700606
10424092989040
11153947488696
126a237a73580
1330cb7c94c86
1416751cc6800
15b071b56e10
hex62bde97670

424092989040 has 480 divisors, whose sum is σ = 1570000138560. Its totient is φ = 94368153600.

The previous prime is 424092989029. The next prime is 424092989057. The reversal of 424092989040 is 40989290424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399710110 + ... + 399711170.

It is an arithmetic number, because the mean of its divisors is an integer number (3270833622).

Almost surely, 2424092989040 is an apocalyptic number.

424092989040 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 424092989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785000069280).

424092989040 is an abundant number, since it is smaller than the sum of its proper divisors (1145907149520).

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

424092989040 is a wasteful number, since it uses less digits than its factorization.

424092989040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 424092989040 in words is "four hundred twenty-four billion, ninety-two million, nine hundred eighty-nine thousand, forty".