Search a number
-
+
423322555920 = 2435112313771179
BaseRepresentation
bin1100010100011111111…
…11011001011000010000
31111110200002001222010020
412022033333121120100
523413431033242140
6522245515303440
742404220232605
oct6121777313020
91443602058106
10423322555920
11153591601900
126a061a4ab80
1330bc4494ba4
14166bb8566ac
15b0291c06d0
hex628ffd9610

423322555920 has 960 divisors, whose sum is σ = 1559420190720. Its totient is φ = 94735872000.

The previous prime is 423322555913. The next prime is 423322555921. The reversal of 423322555920 is 29555223324.

423322555920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (423322555921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2364930391 + ... + 2364930569.

It is an arithmetic number, because the mean of its divisors is an integer number (1624396032).

Almost surely, 2423322555920 is an apocalyptic number.

423322555920 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 423322555920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779710095360).

423322555920 is an abundant number, since it is smaller than the sum of its proper divisors (1136097634800).

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

423322555920 is a wasteful number, since it uses less digits than its factorization.

423322555920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 423322555920 in words is "four hundred twenty-three billion, three hundred twenty-two million, five hundred fifty-five thousand, nine hundred twenty".